Free Mathematics Tutorials

Grade 4 and 5 math questions and problems to test the understanding of math concepts and procedures are presented. Answers to the questions are provided and located at the end of each page. Online calculators to check your answers are provided at the bottom of this page.

• Problems – Grade 4 Math Questions With Answers. Also Solutions and explanations to are included.
• Grade 4 Geometry Questions and Problems With Answers. Also Solutions and explanations are included.
• Fractions – Grade 4 Math Questions With Answers. Also Solutions and explanations are included.
• Math Word Problems with Answers for Grade 5. Also Solutions and explanations are included.
• Find the LCM and the GCF of Integers – Examples and Questions with Answers (Grade 5)
• Grade 5 Math Questions and Problems With Answers on Lowest Common Multiple
• Fractions – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• interactive tutorial on fractions Explore fractions interactively using an applet.
• interactive tutorial on equivalent fractions Explore equivalent fractions interactively using an applet.
• Perimeter – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• Convert Mixed Numbers to Fractions – Examples and Questions with Answers (Grade 5)

• Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
• Add, Subtract and Multiply Integers Calculators. Three separate online calculators to add, subtract and multiply integers.
• Quotient and Remainder Calculator. An online calculator that computes the quotient and remainder of the division of two whole numbers.
• Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
• Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers.
• Prime Factors Calculator. Factor a positive integer into prime factors.
• Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
• Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
• Reduce Fractions Calculator. Rewrite Fractions in reduced form.

Solve Math Problems Online

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly.

The following steps are generally followed to solve Math problems:

• Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams.

Help with Math Topics

Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams.

Solve problems in topics like:

Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests.

Solving Math Problems

Solved Examples

Given equation is quadratic equation, so let us solve by factorization method

Put x = 1 in 5x + 10m = 6

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

Solve Math Problems Online

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly.

The following steps are generally followed to solve Math problems:

• Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams.

Help with Math Topics

Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams.

Solve problems in topics like:

Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests.

Solving Math Problems

Solved Examples

Given equation is quadratic equation, so let us solve by factorization method

Put x = 1 in 5x + 10m = 6

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

Trigonometry Word Problems

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Trigonometry Word Problems

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Free Mathematics Tutorials

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

• In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

• If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

• The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.

.

• A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.

• Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg of the triangles is equal to 4 units. What is the area of the remaining octagon?

.

• Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings? • Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was$30, what was the final price of the sweater?

• 15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?

• How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).

• The rectangular playground in Tim’s school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?

• John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?

• N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?

• In 2008, the world population is about 6,760,000,000. Write the 2008 world population in scientific notation.

• Calculate the circumference of a circular field whose radius is 5 centimeters.

Trigonometry Word Problems

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Free Mathematics Tutorials

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

• In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

• If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

• The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.

• In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

.

• A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.

• Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg of the triangles is equal to 4 units. What is the area of the remaining octagon?

.

• A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?

• Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings? • Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was$30, what was the final price of the sweater?

• 15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?

• How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).

• The rectangular playground in Tim’s school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?

• John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?

• N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?

• In 2008, the world population is about 6,760,000,000. Write the 2008 world population in scientific notation.

• Calculate the circumference of a circular field whose radius is 5 centimeters.

Trigonometry Word Problems

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Free Mathematics Tutorials

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

• In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

• In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

• If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

• The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.

• In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

.

• A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.

• Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg of the triangles is equal to 4 units. What is the area of the remaining octagon?

.

• A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?

• Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings? • Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was$30, what was the final price of the sweater?

• 15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?

• How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).

• The rectangular playground in Tim’s school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?

• John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?

• N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?

• In 2008, the world population is about 6,760,000,000. Write the 2008 world population in scientific notation.

• Calculate the circumference of a circular field whose radius is 5 centimeters.

Trigonometry Calculator

Trigonometry, which studies the measure of triangles, takes algebra to the next level. Its most well-known features include the Pythagorean Theorem and the sine, cosine, and tangent ratios. Our trig calculator can help you check problems that involve these relationships as well as many others. .

Algebra Calculator

Welcome to the algebra calculator, an incredible tool that will help double-check your work or provide additional practice to prepare for tests or quizzes. [note color= #ffffd1 ]Homework Check: Our algebra calculator can help you check your homework. Simply enter your problem and click Answer to find .

Pre-Algebra Calculator

Our pre-algebra calculator will not only help you check your homework but will also help give you extra practice to help you prepare for tests and quizzes. [box title= Study for Tests/Quizzes color= #003366 ]The more you practice, the better prepared you’ll be. The calculator will give you .

Basic Math Calculator

Our basic math calculator will ensure you have the right answer – whether you’re checking homework, studying for an upcoming test, or solving a real-life problem. From finding the average, to converting units, to finding prime factors – our calculator can do it for you. .

Free Mathematics Tutorials

Grade 4 and 5 math questions and problems to test the understanding of math concepts and procedures are presented. Answers to the questions are provided and located at the end of each page. Online calculators to check your answers are provided at the bottom of this page.

• Problems – Grade 4 Math Questions With Answers. Also Solutions and explanations to are included.
• Grade 4 Geometry Questions and Problems With Answers. Also Solutions and explanations are included.
• Fractions – Grade 4 Math Questions With Answers. Also Solutions and explanations are included.
• Math Word Problems with Answers for Grade 5. Also Solutions and explanations are included.
• Find the LCM and the GCF of Integers – Examples and Questions with Answers (Grade 5)
• Grade 5 Math Questions and Problems With Answers on Lowest Common Multiple
• Fractions – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• interactive tutorial on fractions Explore fractions interactively using an applet.
• interactive tutorial on equivalent fractions Explore equivalent fractions interactively using an applet.
• Perimeter – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• Convert Mixed Numbers to Fractions – Examples and Questions with Answers (Grade 5)

• Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
• Add, Subtract and Multiply Integers Calculators. Three separate online calculators to add, subtract and multiply integers.
• Quotient and Remainder Calculator. An online calculator that computes the quotient and remainder of the division of two whole numbers.
• Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
• Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers.
• Prime Factors Calculator. Factor a positive integer into prime factors.
• Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
• Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
• Reduce Fractions Calculator. Rewrite Fractions in reduced form.

Solve Math Problems Online

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly.

The following steps are generally followed to solve Math problems:

• Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams.

Help with Math Topics

Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams.

Solve problems in topics like:

Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests.

Solving Math Problems

Solved Examples

Given equation is quadratic equation, so let us solve by factorization method

Put x = 1 in 5x + 10m = 6

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

Math Problems

This is a fun game about math problems. It’s not a complicated test, in fact it’s very easy, however the point is not just to solve the question provided, but to solve as many as you can in a short time, a very good score would be 21 points in this exercise, if you get 21 points then you are a human calculator, well not really but you got the point. It’s nice to be an athlete, but certainly it’s super nice to be a Mathlete! So have fun solving this math problems game!

You have 5 minutesin this math game, you have to answer as many questions as possible, click on вЂњnew gameвЂќ, then вЂњstartвЂќ, once you know the answer go to the space where it says вЂњput answer hereвЂќ and write it, then hit вЂњenterвЂќ, you will earn one point for that. Keep playing until the 5 minutes are over.

Math is one of the top stimulants to the brain; this is an interactive game which stimulates your mental abilities. Life is filled with problems, and as part of our daily routine is to solve easy or hard problems. Mathematics are one form in finding solutions to real life obstacles, such as in algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry вЂ¦ etc. The game below is something that might seem to be played easily, but the main benefit would occur if you give accurate answers while playing fast, don’t let the simplicity of the game fool you, it’s simple but greatly stimulates your brain, especially when performing rapid calculations, your brain gets used to thinking in a fast pace, and that in itself is a good math work out. After playing the math game you can also read some selected quotes below about mathematics. Enjoy!

Thanks to Oswego City School District

Many consider math the underlying language of science. Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry. Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.

In short mathematics is a deductive study of numbers, geometry, and various abstract constructs, or structures; the latter often вЂњabstractвЂќ the features common to several models derived from the empirical, or applied sciences, although many emerge from purely mathematical or logical considerations. Mathematics is very broadly divided into foundations, algebra, analysis, geometry, and applied mathematics, which includes theoretical computer science and artificial intelligence.

вЂ“ вЂњIn mathematics you don’t understand things. You just get used to themвЂќ John Von Neumann.

вЂ“ вЂњMathematics consists of proving the most obvious thing in the least obvious wayвЂќ George Polya.

вЂ“ вЂњThe simplest schoolboy is now familiar with facts for which Archimedes would have sacrificed his lifeвЂќ Ernest Renan.

вЂ“ вЂњMathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the stateвЂќ Plato.

вЂ“ вЂњAs far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to realityвЂќ Albert Einstein.

вЂ“ вЂњThe science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experienceвЂќ Immanuel Kant.

вЂ“ вЂњNumbers exist only in our minds. There is no physical entity that is number 1. If there were, 1 would be in a place of honor in some great museum of science, and past it would file a steady stream of mathematicians gazing at 1 in wonder and aweвЂќ Linear Algebra by Fraleigh/Beauregard.

вЂ“ вЂњMathematics, rightly viewed, possesses not only truth, but supreme beauty вЂ”a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetryвЂќ Bertrand Russell, in Study of Mathematics, about the beauty of Mathematics.

вЂ“ вЂњAnyone who cannot cope with mathematics is not fully human. At best he is a tolerable sub-human who has learned to wear shoes, bathe, and not make messes in the houseвЂќ Robert Heinlein.

How to Check Math Problems Easily

You probably hear all the time that you should check your math work. How to do that, however, might not be clear. There are a number of ways you can check the solution to your math work, depending on whether you are completing basic arithmetic problems, algebra, or word problems.

Steps Edit

Method One of Three:

Checking Basic Arithmetic Edit

Method Two of Three:

4 ( 12 ) = 24 + 6 ( 12 )

Since the equation isn’t true, you know that 12 isn’t the correct solution, and you need to go back and check your work.

Method Three of Three:

Checking Word Problems Edit

Math Practice Problems – Fraction Word Problems, answer for math problems.#Answer #for #math #problems

MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Fraction Word Problems – Sample Math Practice Problems

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

– John Cradler, Educational Technology Expert

Study Guides and Strategies

to three, not even

for large values of two

Study guides
• Time, stress and

Problem solving

• Studying/learning;

with others, and in the classroom

• Thinking/memorizing;

Solving Math Word Problems III

Exercise III directions:

• Select an operator
• Enter your expression into the box
• Proceed to the next problem

Math exams | Solving linear equations | Solving math word problems, introduction |

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Solving More Decimal Word Problems

Example 1: School lunches cost $14.50 per week. About how much would 15.5 weeks of lunches cost? Analysis: We need to estimate the product of$14.50 and 15.5. To do this, we will round one factor up and one factor down.

Answer: The cost of 15.5 weeks of school lunches would be about $200. Example 2: A student earns$11.75 per hour for gardening. If she worked 21 hours this month, then how much did she earn?

Analysis: To solve this problem, we will multiply $11.75 by 21. Answer: The student will earn$246.75 for gardening this month.

Example 3: Rick’s car gets 29.7 miles per gallon on the highway. If his fuel tank holds 10.45 gallons, then how far can he travel on one full tank of gas?

Analysis: To solve this problem, we will multiply 29.7 by 10.45

Answer: Rick can travel 310.365 miles with one full tank of gas.

Example 4: A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?

Analysis: We need to estimate the quotient of 179.3 and 61.5.

Example 5: A store owner has 7.11 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain?

Analysis: We will divide 7.11 lbs. by 9 to solve this problem.

Answer: Each jar will contain 0.79 lbs. of candy.

Example 6: Paul will pay for his new car in 36 monthly payments. If his car loan is for $19,061, then how much will Paul pay each month? Round your answer to nearest cent. Analysis: To solve this problem, we will divide$19,061.00 by 36, then round the quotient to the nearest cent (hundredth).

Answer: Paul will make 36 monthly payments of $529.47 each. Example 7: What is the average speed in miles per hour of a car that travels 956.4 miles in 15.9 hours? Round your answer to the nearest tenth. Analysis: We will divide 956.4 by 15.9, then round the quotient to the nearest tenth. Step 1: Answer: Rounded to the nearest tenth, the average speed of the car is 60.2 miles per hour. Summary: In this lesson we learned how to solve word problems involving decimals. We used the following skills to solve these problems: 1. Estimating decimal products 2. Multiplying decimals by whole numbers 3. Multiplying decimals by decimals 4. Estimating decimal quotients 5. Dividing decimals by whole numbers 6. Rounding decimal quotients 7. Dividing decimals by decimals Exercises Directions: Read each question below. You may use paper and pencil to help you solve these problems. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Math Riddles: Try to answer these brain teasers and math riddles, answer for math problems.#Answer #for #math #problems Math Riddles Logic Games And Riddles Other Math Brain Teasers: • Math Puzzles • Monty Hall Simulation • Cheryl Math Problem • Math Jokes • Math Horror Stories from Real world Riddle 1 How can you add eight 8’s to get the number 1,000? (only use addition) The key to this math riddle is realizing that the one place must be zero. 888 + 88 + 8 + 8 + 8 = 1,000 Riddle 2 Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. The riddle is for you to explain how How to Explain the Riddle One of the ‘fathers’ is also a grandfather. Therefore the other father is both a son and a father to the grandson. In other words, the one father is both a son and a father. Riddle 3 Part I. What digit is the most frequent between the numbers 1 and 1,000 (inclusive)? To solve this riddle you don’t want to manually do all of the math but rather try to figure out a pattern. Answer to Riddle The most common digit is ‘1.’ Can you figure out why? No hints until you try the next riddle because the next riddle is closely tied to this one. Part II. What digit is the least frequent between the numbers 1 and 1,000? 0 is the least common digit even though 1,000 has three zero’s ! Explanations for both riddles The digits 0 through 9 all follow the same pattern there is exactly 1 occurrence of each digit for every ten numbers. • For instance the digit 2 appears once between 10 and 19, at 12. And 2 appears once between, 30 and 39 at 32. • However, each of the digits 1 through 9 also appear in other numbers in the tens and hundreds place Again, let’s look at 2 which appears in 20,21,22, 23, etc.. as well as 200,201, 202,203.. So to figure out how to answer the first riddle you had to see what distinguishes the number 1? Only that we are including 1,000 which would be the first ‘1’ in a new series of ten! In other words, the digit 1 only has a single extra occurrence (301 occurrences) compared to 2 or 3 or 9 which each have exactly 300 occurrences. The reason that zero has the least (BY FAR at only 192 occurrences) is because zero does not have any equivalents to 22, 33, 44, 222, 3333 etc.. Riddle 4 Three guys rent a hotel room for the night. When they get to the hotel they pay the $$\30$$ fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back$5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the $5 dollars and to give the bellhop a$2 tip. However, when they sat down to tally up their expenses for the weekend the could not explain the following details:

Each one of them had originally paid $10 (towards the initial$30), then each got back $1 which meant that they each paid$9. Then they gave the bellhop a $2 tip. HOWEVER, 3 •$9 + $2 =$29

The guys couldn’t figure out what happened to the other dollar. After all, the three paid out $30 but could only account for$29.

Can you determine what happened?

There are many ways of explaining/thinking about this truly brain bending riddle! It all boils down to the fact that the lawyers’s math is incorrect.

They did NOT spend $9 3 +$2.

They spent exactly $27 dollars.$25 for the room and $2 for the tip. Remember they got exactly$3, in total back.

Another way to think about the answer to this riddle is to just pretend that the bellhop refunded $3 to the lawyers (rather than giving them$5 and receiving $2 back). If the lawyers get$3 back and each takes $1. They they spent exactly$27 dollars.

Riddle 5

In a certain country of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

Riddle 6

A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?

11 cartons total

7 large boxes (7 * 8 = 56 boxes)

4 small boxes (4 10 = 40 boxes

11 total cartons and 96 boxes

Riddle 7

A farmer is trying to cross a river. He is taking with him a rabbit, carrots and a fox, and he has a small raft. He can only bring 1 item a time across the river because his raft can only fit either the rabbit, the carrots or the fox. How does he cross the river. (You can assume that the fox does not eat the rabbit if the man is present, you can also assume that the fox and the rabbit are not trying to escape and run away)

The key to solving this riddle is realizing that you have to take the rabbit over first and the switch the fox with the rabbit. See step 2.

Take the rabbit to the other side

Go back and get the Fox and switch it with the Rabbit

**The key here is that the carrots and the rabbit are not being left alone.

Take the carrots across

Go back and get the rabbit

Riddle 8

Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How much dollars did Ben and Adam get of the sum, considering equal split of the sacks?

Every farmer’s part is 1/3(45+75) = 40 sacks.

Charlie paid $1400 for 40 sacks, then 1 sack costs$1400/40 = $35/sack. Adam got$35*(45-40)=35*5 = $175. Ben got$35*(75-40)=35*35 = $1225. Riddle 9 An insurance salesman walk up to house and knocks on the door. A woman answers, and he asks her how many children she has and how old they are. She says I will give you a hint. If you multiply the 3 children’s ages, you get 36. He says this is not enough information. So she gives a him 2 nd hint. If you add up the children’s ages, the sum is the number on the house next door. He goes next door and looks at the house number and says this is still not enough information. So she says she’ll give him one last hint which is that her oldest of the 3 plays piano. Why would he need to go back to get the last hint after seeing the number on the house next door? Because the sum of their ages ( the number on the house) is ambiguous and could refer to more than 1 trio of factors. If you list out the trio of factors that multiply to 36 and their sums, you get : • 1 1 36 = 38 • 1 2 18 = 21 • 1 3 12 = 16 • 1 4 9 = 14 • 6 6 1 = 13 • 2 2 9 = 13 • 2 3 6 = 11 • 3 3 4 = 10 Since the number on the house next door is not enough information there must be more than 1 factor trio that sums up to it, leaving two possibilities: < 6, 6, 1>, <2, 2, 9>. When she says her ‘oldest’ you know it can not be <6,6,1>since she would have two ‘older’ sons not an ‘oldest’. Riddle 10 This is a famous one. The classic Monty hall riddle! The Situation: Your First Choice You are confronted by 3 doors. Behind one of them is a car, behind the two others, you will only see a goat. Now, if you correctly pick the car, you win the car ! Otherwise, if you get one of the 2 goats, you don’t get the car. So, pick any door. It doesn’t matter which one, but we will suppose that you picked door #2, as an example. Should You switch? Now, after you have picked a door and before finding out what is actually behind it, you are shown a goat behind one of the other doors.(Remember there has to be a goat in 1 of the doors that you have not picked. ) Let’s say you choose door #2, as shown above. For example’s sake, let’s say there’s a goat in door 1. The question and the riddle is : should you switch the door that you picked? In other words, in this example, should you now choose door 3? Or, should you stick with your first choice (door #2)? There actually is a mathematically correct answer to this riddle: You should indeed change your choice. If you don’t believe me, just try out our free online Monty hall simulation. Free Math Problems Solution – Solved Math Questions and Answers, [email protected], answer for math problems.#Answer #for #math #problems Solve Math Problems Online Get Interactive Learning CDs/DVDs Now ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards Sign Up for FREE Animations Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly. The following steps are generally followed to solve Math problems: • Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams. Help with Math Topics Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams. Solve problems in topics like: Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests. Get a Math Problem Solver Math Questions Word Problem Solver Solving Math Problems Solved Examples Given equation is quadratic equation, so let us solve by factorization method Put x = 1 in 5x + 10m = 6 The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice. Applied Math Problems: Using Question-Answer Relationships (QARs) to Interpret Math Graphics, Intervention Central, answer for math problems.#Answer #for #math #problems Applied Math Problems: Using Question-Answer Relationships (QARs) to Interpret Math Graphics Students must be able to correctly interpret math graphics in order to correctly answer many applied math problems. Struggling learners in math often misread or misinterpret math graphics. For example, students may: • overlook important details of the math graphic. • treat irrelevant data on the math graphic as ‘relevant’. • fail to pay close attention to the question before turning to the math graphic to find the answer. • not engage their prior knowledge both to extend the information on the math graphic and to act as a possible ‘reality check’ on the data that it presents. • expect the answer to be displayed in plain sight on the math graphic, when in fact the graphic may require that readers first to interpret the data, then to plug the data into an equation to solve the problem. Teachers need an instructional strategy to encourage students to be more savvy interpreters of graphics in applied math problems. One idea is to have them apply a reading comprehension strategy, Question-Answer Relationships (QARs) as a tool for analyzing math graphics. The four QAR question types (Raphael, 1982, 1986) are as follows: • RIGHT THERE questions are fact-based and can be found in a single sentence, often accompanied by ‘clue’ words that also appear in the question. • THINK AND SEARCH questions can be answered by information in the text–but require the scanning of text and the making of connections between disparate pieces of factual information found in different sections of the reading. • AUTHOR AND YOU questions require that students take information or opinions that appear in the text and combine them with the reader’s own experiences or opinions to formulate an answer. • ON MY OWN questions are based on the students’ own experiences and do not require knowledge of the text to answer. Steps to Implementing This Intervention Teachers use a 4-step instructional sequence to teach students to use Question-Answer Relationships (QARs) to better interpret math graphics: 1. Distinguishing Among Different Kinds of Graphics Students are first taught to differentiate between five common types of math graphics: table (grid with information contained in cells), chart (boxes with possible connecting lines or arrows), picture (figure with labels), line graph, bar graph. Students note significant differences between the various types of graphics, while the teacher records those observations on a wall chart. Next students are shown examples of graphics and directed to identify the general graphic type (table, chart, picture, line graph, bar graph) that each sample represents. As homework, students are assigned to go on a ‘graphics hunt’, locating graphics in magazines and newspapers, labeling them, and bringing them to class to review. 2. Interpreting Information in Graphics Over several instructional sessions, students learn to interpret information contained in various types of math graphics. For these activities, students are paired off, with stronger students matched with less strong ones. The teacher sets aside a separate session to introduce each of the graphics categories. The presentation sequence is ordered so that students begin with examples of the most concrete graphics and move toward the more abstract. The graphics sequence in order of increasing difficulty is: Pictures tables bar graphs charts line graphs. At each session, student pairs examine examples of graphics from the category being explored that day and discuss questions such as: “What information does this graphic present? What are strengths of this type of graphic for presenting data? What are possible weaknesses?” Student pairs record their findings and share them with the large group at the end of the session. 3. Linking the Use of Question-Answer Relations (QARs) to Graphics In advance of this lesson, the teacher prepares a series of data questions and correct answers. Each question and answer is paired with a math graphic that contains information essential for finding the answer. At the start of the lesson, students are each given a set of 4 index cards with titles and descriptions of each of the 4 QAR questions: RIGHT THERE, THINK AND SEARCH, AUTHOR AND YOU, ON MY OWN. (TMESAVING TIP: Students can create their own copies of these QAR review cards as an in-class activity.) Working first in small groups and then individually, students read each teacher-prepared question, study the matching graphic, and ‘verify’ the provided answer as correct. They then identify the type of question being posed in that applied problem, using their QAR index cards as a reference. 4. Using Question-Answer Relationships (QARs) Independently to Interpret Math Graphics Students are now ready to use the QAR strategy independently to interpret graphics. They are given a laminated card as a reference with 6 steps to follow whenever they attempt to solve an applied problem that includes a math graphic: • Read the question, • Review the graphic, • Reread the question, • Choose the appropriate QAR, • Answer the question, and • Locate the answer derived from the graphic in the answer choices offered. Students are strongly encouraged NOT to read the answer choices offered on a multiple-choice item until they have first derived their own answer-to prevent those choices from short-circuiting their inquiry. World of Math Online, answers to math problems.#Answers #to #math #problems answers to math problems Solve Math Problems, answer to math problems.#Answer #to #math #problems answer to math problems Statistics Calculator Calculus Calculator Precalculus Calculator Trigonometry Calculator Trigonometry, which studies the measure of triangles, takes algebra to the next level. Its most well-known features include the Pythagorean Theorem and the sine, cosine, and tangent ratios. Our trig calculator can help you check problems that involve these relationships as well as many others. . Algebra Calculator Welcome to the algebra calculator, an incredible tool that will help double-check your work or provide additional practice to prepare for tests or quizzes. [note color= #ffffd1 ]Homework Check: Our algebra calculator can help you check your homework. Simply enter your problem and click Answer to find . Pre-Algebra Calculator Our pre-algebra calculator will not only help you check your homework but will also help give you extra practice to help you prepare for tests and quizzes. [box title= Study for Tests/Quizzes color= #003366 ]The more you practice, the better prepared you’ll be. The calculator will give you . Basic Math Calculator Our basic math calculator will ensure you have the right answer – whether you’re checking homework, studying for an upcoming test, or solving a real-life problem. From finding the average, to converting units, to finding prime factors – our calculator can do it for you. . Math Problems, Brain Metrix, answer to math problems.#Answer #to #math #problems Math Problems This is a fun game about math problems. It’s not a complicated test, in fact it’s very easy, however the point is not just to solve the question provided, but to solve as many as you can in a short time, a very good score would be 21 points in this exercise, if you get 21 points then you are a human calculator, well not really but you got the point. It’s nice to be an athlete, but certainly it’s super nice to be a Mathlete! So have fun solving this math problems game! You have 5 minutesin this math game, you have to answer as many questions as possible, click on вЂњnew gameвЂќ, then вЂњstartвЂќ, once you know the answer go to the space where it says вЂњput answer hereвЂќ and write it, then hit вЂњenterвЂќ, you will earn one point for that. Keep playing until the 5 minutes are over. Math is one of the top stimulants to the brain; this is an interactive game which stimulates your mental abilities. Life is filled with problems, and as part of our daily routine is to solve easy or hard problems. Mathematics are one form in finding solutions to real life obstacles, such as in algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry вЂ¦ etc. The game below is something that might seem to be played easily, but the main benefit would occur if you give accurate answers while playing fast, don’t let the simplicity of the game fool you, it’s simple but greatly stimulates your brain, especially when performing rapid calculations, your brain gets used to thinking in a fast pace, and that in itself is a good math work out. After playing the math game you can also read some selected quotes below about mathematics. Enjoy! Thanks to Oswego City School District Many consider math the underlying language of science. Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry. Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry. In short mathematics is a deductive study of numbers, geometry, and various abstract constructs, or structures; the latter often вЂњabstractвЂќ the features common to several models derived from the empirical, or applied sciences, although many emerge from purely mathematical or logical considerations. Mathematics is very broadly divided into foundations, algebra, analysis, geometry, and applied mathematics, which includes theoretical computer science and artificial intelligence. Selected Quotes about Math вЂ“ вЂњIn mathematics you don’t understand things. You just get used to themвЂќ John Von Neumann. вЂ“ вЂњMathematics consists of proving the most obvious thing in the least obvious wayвЂќ George Polya. вЂ“ вЂњThe simplest schoolboy is now familiar with facts for which Archimedes would have sacrificed his lifeвЂќ Ernest Renan. вЂ“ вЂњMathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the stateвЂќ Plato. вЂ“ вЂњAs far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to realityвЂќ Albert Einstein. вЂ“ вЂњThe science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experienceвЂќ Immanuel Kant. вЂ“ вЂњNumbers exist only in our minds. There is no physical entity that is number 1. If there were, 1 would be in a place of honor in some great museum of science, and past it would file a steady stream of mathematicians gazing at 1 in wonder and aweвЂќ Linear Algebra by Fraleigh/Beauregard. вЂ“ вЂњMathematics, rightly viewed, possesses not only truth, but supreme beauty вЂ”a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetryвЂќ Bertrand Russell, in Study of Mathematics, about the beauty of Mathematics. вЂ“ вЂњAnyone who cannot cope with mathematics is not fully human. At best he is a tolerable sub-human who has learned to wear shoes, bathe, and not make messes in the houseвЂќ Robert Heinlein. Solving More Decimal Word Problems, Math Goodies, answer to math problems.#Answer #to #math #problems Math Goodies Sign Up For Our FREE Newsletter! Solving More Decimal Word Problems Example 1: School lunches cost$14.50 per week. About how much would 15.5 weeks of lunches cost?

Analysis: We need to estimate the product of $14.50 and 15.5. To do this, we will round one factor up and one factor down. Answer: The cost of 15.5 weeks of school lunches would be about$200.

Example 2: A student earns $11.75 per hour for gardening. If she worked 21 hours this month, then how much did she earn? Analysis: To solve this problem, we will multiply$11.75 by 21.

Answer: The student will earn $246.75 for gardening this month. Example 3: Rick’s car gets 29.7 miles per gallon on the highway. If his fuel tank holds 10.45 gallons, then how far can he travel on one full tank of gas? Analysis: To solve this problem, we will multiply 29.7 by 10.45 Answer: Rick can travel 310.365 miles with one full tank of gas. Example 4: A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day? Analysis: We need to estimate the quotient of 179.3 and 61.5. Answer: He averaged about 3 miles per day. Example 5: A store owner has 7.11 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain? Analysis: We will divide 7.11 lbs. by 9 to solve this problem. Answer: Each jar will contain 0.79 lbs. of candy. Example 6: Paul will pay for his new car in 36 monthly payments. If his car loan is for$19,061, then how much will Paul pay each month? Round your answer to nearest cent.

Analysis: To solve this problem, we will divide $19,061.00 by 36, then round the quotient to the nearest cent (hundredth). Answer: Paul will make 36 monthly payments of$529.47 each.

Example 7: What is the average speed in miles per hour of a car that travels 956.4 miles in 15.9 hours? Round your answer to the nearest tenth.

Analysis: We will divide 956.4 by 15.9, then round the quotient to the nearest tenth.

Step 1:

Answer: Rounded to the nearest tenth, the average speed of the car is 60.2 miles per hour.

Summary: In this lesson we learned how to solve word problems involving decimals. We used the following skills to solve these problems:

1. Estimating decimal products
2. Multiplying decimals by whole numbers
3. Multiplying decimals by decimals
4. Estimating decimal quotients
5. Dividing decimals by whole numbers
6. Rounding decimal quotients
7. Dividing decimals by decimals

Exercises

Directions: Read each question below. You may use paper and pencil to help you solve these problems. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

Study Guides and Strategies

to three, not even

for large values of two

Study guides
• Time, stress and

Problem solving

• Studying/learning;

with others, and in the classroom

• Thinking/memorizing;

Solving Math Word Problems III

Exercise III directions:

• Select an operator
• Enter your expression into the box
• Proceed to the next problem

Math exams | Solving linear equations | Solving math word problems, introduction |

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• Math Practice Problems – Fraction Word Problems, answer to math problems.#Answer #to #math #problems

MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Fraction Word Problems – Sample Math Practice Problems

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

– John Cradler, Educational Technology Expert

Kinematics Practice Problems

On this page, several problems related to kinematics are given. The solutions to the problems are initially hidden, and can be shown in gray boxes or hidden again by clicking “Show/hide solution.” It is advised that students attempt to solve each problem before viewing the answer, then use the solution to determine if their answer is correct and, if not, why. Remember to include units on all final answers.

Content that appears in a box similar to this is content that applies only to the AP C curriculum. AP B and AICE students can skip any content contained in these boxes.

Displacement

1. A rock is thrown straight upward off the edge of a balcony that is 5 m above the ground. The rock rises 10 m, then falls all the way down to the ground below the balcony. What is the rock’s displacement?

• A child walks 5 m east, then 3 m north, then 1 m east.

a.) What is the magnitude of the child’s displacement?

b.) What is the direction of the child’s displacement?

As you can see in this diagram, the displacement is equivalent to the hypotenuse of a right triangle whose legs are 6 m and 3 m long. So, we can calculate the magnitude of the displacement using the Pythagorean theorem:

• An athlete runs exactly once around a circular track with a total length of 500 m. Find the runner’s displacement for the race.

Speed and Velocity

1. If the child from problem 2 completes his journey in 20 seconds, what is the magnitude of his average velocity?

• If the runner from problem 3 runs the lap in 1 minute 18 seconds, find his/her average speed and the magnitude of his/her average velocity.

• a.) Is it possible to move with constant speed but not constant velocity?

b.) Is it possible to move with constant velocity but not constant speed?

Acceleration

1. A car drives in a straight line at a constant speed of 60 miles per hour for 5 seconds. Find its acceleration.

• A remote control car is driven along a straight track at 2 m/s. The child controlling the car then activates the toy’s turbo mode so that, 3 seconds later, the car’s speed is 3.2 m/s. Find its average acceleration.

• Shortly after, the remote control car in the previous example exits turbo mode, slowing from 3.2 m/s back to 2 m/s in 2 seconds. Find the car’s average acceleration over this interval.

Uniform Acceleration w/ the Big Five

1. A particle moves along the x-axis with an initial velocity of 4 m/s and constant acceleration. After 3 seconds, its velocity is 14 m/s. How far did it travel during this interval

• A car is initially moving at 10 m/s and accelerates at a constant rate of 2 m/s 2 for 4 seconds, in a straight line. How far did the car travel during this time?

• A rock is dropped from a cliff that is 80 m above the ground. If the rock hits the ground with a velocity of 40 m/s, what acceleration did it undergo?

a = (v 2 )/(2 x) = (40 2 )/(2 * 80) = 1600/160 = 10 m/s 2 , toward the ground.

Free Fall

1. A rock is dropped 80 meters from a cliff. How long does it take to reach the ground?

Since we are not given nor asked for v, we can use the Big 5 number 3, adapted to the y direction:

• A ball is thrown straight up with an initial speed of 20 m/s. How high will the ball travel?

20 2 /(-2 * -10) = 20 2 /20 = 20 m

• One second after being thrown straight down, a rock is falling at 20 m/s. How fast will it be falling 2 seconds later?

-10 * 2 – 20 = -20 – 20 = -40 m/s

• An object is thrown straight upward with an initial speed of 8 m/s and strikes the ground 3 seconds later. What height was the object thrown from?

-0.5 * -10 * 3 2 – 8 * 3 = 5 * 9 – 24 = 45 – 24 = 21 m

Projectile Motion

1. A tennis ball is thrown horizontally with an initial speed of 10 m/s. If it hits the ground after 4 seconds, how far did it drop before hitting the ground?

0.5 * -10 * 4 2 = -5 * 16 = -80 m

• A ball is thrown horizontally from a height of 100 m with an initial speed of 15 m/s. How far does it travel horizontally in the first 2 seconds?

• A javelin travels in a parabolic arc for 6 seconds before hitting the ground. Compare its horizontal velocity 1 second after being thrown to its horizontal velocity 4 seconds after being thrown.

• A circus performer is launched out of a cannon with a launch angle of 30 o and an initial velocity of 40 m/s. How long after launch will it take for the performer to reach the top of his trajectory, and how high is this point?

0.5 * -10 * 2 2 + 20 * 2 = -5 * 4 + 40 = -20 + 40 = 20 m

• A cannonball is fired from the ground at a 30 o angle with an initial speed of 60 m/s. If the cannonball lands back at the same height it was launched from:

a.) For how long will the cannonball be in the air?

b.) How far will it travel horizontally?

60cos(30 o )6 = 312 m

Kinematics w/ Graphs

1. An object’s position during a 10 second time interval is shown by the graph below:

a.) Determine the object’s total distance traveled and displacement.

b.) What is the object’s velocity at the following times: t = 1, t = 3, and t = 6.

c.) Determine the object’s average velocity and average speed from t = 0 to t = 10.

d.) What is the object’s acceleration at t = 5?

The displacement of the object is simply the final position minus the initial position, or -2 – 0 = -2 m.

• An object’s velocity during a 10 second time interval is shown by the graph below:

a.) Determine the object’s total distance traveled and displacement.

b.) At t = 0, the object’s position is x = 2 m. Find the object’s position at t = 2, t = 4, t = 7, and t = 10.

c.) What is the object’s acceleration at the following times: t = 1, t = 3, and t = 6.

d.) Sketch the corresponding acceleration vs. time graph from t = 0 to t = 10.

The total distance traveled by the object is simply the sum of all these areas: 3 + 6 + 4.5 + 2 + 2 = 17.5 m

The displacement is found in a similar fashion, except areas below the x-axis are considered negative: 3 + 6 + 4.5 – 2 – 2 = 9.5 m

x(10) = 2 + 3 + 6 + 4.5 – 2 – 2 = 11.5 m

• An object’s position during a given time interval is shown by the graph below:

a.) At which of the marked points is the object’s velocity the greatest? The least?

b.) Is the object’s acceleration positive or negative between points A and B?

d.) Using the function from part c, determine the object’s maximum and minimum positions and velocities within the interval from t = 1 to t = 6.

v(1) = 3 * 1 2 – 19 * 1 + 23 = 3 – 19 + 23 = 7 m/s

v(3) = 3 * 3 2 – 19 * 3 + 23 = 27 – 57 + 23 = -7 m/s

v(5) = 3 * 5 2 – 19 * 5 + 23 = 75 – 95 + 23 = 3 m/s

a(3) = 6 * 3 – 19 = 18 – 19 = -1 m/s 2

a(5) = 6 * 5 – 19 = 30 – 19 = 11 m/s 2

t = 1.63008 s or t = 4.70326 s

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How to Check Math Problems Easily

You probably hear all the time that you should check your math work. How to do that, however, might not be clear. There are a number of ways you can check the solution to your math work, depending on whether you are completing basic arithmetic problems, algebra, or word problems.

Steps Edit

Method One of Three:

Checking Basic Arithmetic Edit

Method Two of Three:

4 ( 12 ) = 24 + 6 ( 12 )

Since the equation isn’t true, you know that 12 isn’t the correct solution, and you need to go back and check your work.

Method Three of Three:

Checking Word Problems Edit

Trigonometry Word Problems

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Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Solve Math Problems Online

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly.

The following steps are generally followed to solve Math problems:

• Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams.

Help with Math Topics

Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams.

Solve problems in topics like:

Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests.

Solving Math Problems

Solved Examples

Given equation is quadratic equation, so let us solve by factorization method

Put x = 1 in 5x + 10m = 6

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

Free Mathematics Tutorials

Grade 4 and 5 math questions and problems to test the understanding of math concepts and procedures are presented. Answers to the questions are provided and located at the end of each page. Online calculators to check your answers are provided at the bottom of this page.

• Problems – Grade 4 Math Questions With Answers. Also Solutions and explanations to are included.
• Grade 4 Geometry Questions and Problems With Answers. Also Solutions and explanations are included.
• Fractions – Grade 4 Math Questions With Answers. Also Solutions and explanations are included.
• Math Word Problems with Answers for Grade 5. Also Solutions and explanations are included.
• Find the LCM and the GCF of Integers – Examples and Questions with Answers (Grade 5)
• Grade 5 Math Questions and Problems With Answers on Lowest Common Multiple
• Fractions – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• interactive tutorial on fractions Explore fractions interactively using an applet.
• interactive tutorial on equivalent fractions Explore equivalent fractions interactively using an applet.
• Perimeter – Grade 5 Math Questions With Answers. Also Solutions and explanations are included.
• Convert Mixed Numbers to Fractions – Examples and Questions with Answers (Grade 5)

• Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
• Add, Subtract and Multiply Integers Calculators. Three separate online calculators to add, subtract and multiply integers.
• Quotient and Remainder Calculator. An online calculator that computes the quotient and remainder of the division of two whole numbers.
• Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
• Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers.
• Prime Factors Calculator. Factor a positive integer into prime factors.
• Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
• Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
• Reduce Fractions Calculator. Rewrite Fractions in reduced form.

Applied Math Problems: Using Question-Answer Relationships (QARs) to Interpret Math Graphics

Students must be able to correctly interpret math graphics in order to correctly answer many applied math problems. Struggling learners in math often misread or misinterpret math graphics. For example, students may:

• overlook important details of the math graphic.
• treat irrelevant data on the math graphic as ‘relevant’.
• fail to pay close attention to the question before turning to the math graphic to find the answer.
• not engage their prior knowledge both to extend the information on the math graphic and to act as a possible ‘reality check’ on the data that it presents.
• expect the answer to be displayed in plain sight on the math graphic, when in fact the graphic may require that readers first to interpret the data, then to plug the data into an equation to solve the problem.

Teachers need an instructional strategy to encourage students to be more savvy interpreters of graphics in applied math problems. One idea is to have them apply a reading comprehension strategy, Question-Answer Relationships (QARs) as a tool for analyzing math graphics. The four QAR question types (Raphael, 1982, 1986) are as follows:

• RIGHT THERE questions are fact-based and can be found in a single sentence, often accompanied by ‘clue’ words that also appear in the question.
• THINK AND SEARCH questions can be answered by information in the text–but require the scanning of text and the making of connections between disparate pieces of factual information found in different sections of the reading.
• AUTHOR AND YOU questions require that students take information or opinions that appear in the text and combine them with the reader’s own experiences or opinions to formulate an answer.
• ON MY OWN questions are based on the students’ own experiences and do not require knowledge of the text to answer.

Steps to Implementing This Intervention

Teachers use a 4-step instructional sequence to teach students to use Question-Answer Relationships (QARs) to better interpret math graphics:

1. Distinguishing Among Different Kinds of Graphics

Students are first taught to differentiate between five common types of math graphics: table (grid with information contained in cells), chart (boxes with possible connecting lines or arrows), picture (figure with labels), line graph, bar graph.

Students note significant differences between the various types of graphics, while the teacher records those observations on a wall chart. Next students are shown examples of graphics and directed to identify the general graphic type (table, chart, picture, line graph, bar graph) that each sample represents.

As homework, students are assigned to go on a ‘graphics hunt’, locating graphics in magazines and newspapers, labeling them, and bringing them to class to review.

2. Interpreting Information in Graphics

Over several instructional sessions, students learn to interpret information contained in various types of math graphics. For these activities, students are paired off, with stronger students matched with less strong ones.

The teacher sets aside a separate session to introduce each of the graphics categories. The presentation sequence is ordered so that students begin with examples of the most concrete graphics and move toward the more abstract. The graphics sequence in order of increasing difficulty is: Pictures tables bar graphs charts line graphs.

At each session, student pairs examine examples of graphics from the category being explored that day and discuss questions such as: “What information does this graphic present? What are strengths of this type of graphic for presenting data? What are possible weaknesses?” Student pairs record their findings and share them with the large group at the end of the session.

In advance of this lesson, the teacher prepares a series of data questions and correct answers. Each question and answer is paired with a math graphic that contains information essential for finding the answer.

At the start of the lesson, students are each given a set of 4 index cards with titles and descriptions of each of the 4 QAR questions: RIGHT THERE, THINK AND SEARCH, AUTHOR AND YOU, ON MY OWN. (TMESAVING TIP: Students can create their own copies of these QAR review cards as an in-class activity.)

Working first in small groups and then individually, students read each teacher-prepared question, study the matching graphic, and ‘verify’ the provided answer as correct. They then identify the type of question being posed in that applied problem, using their QAR index cards as a reference.

4. Using Question-Answer Relationships (QARs) Independently to Interpret Math Graphics

Students are now ready to use the QAR strategy independently to interpret graphics. They are given a laminated card as a reference with 6 steps to follow whenever they attempt to solve an applied problem that includes a math graphic:

• Review the graphic,
• Choose the appropriate QAR,
• Locate the answer derived from the graphic in the answer choices offered.

Students are strongly encouraged NOT to read the answer choices offered on a multiple-choice item until they have first derived their own answer-to prevent those choices from short-circuiting their inquiry.

Math Riddles

Logic Games And Riddles

Other Math Brain Teasers:
• Math Puzzles
• Monty Hall Simulation
• Cheryl Math Problem
• Math Jokes
• Math Horror Stories from Real world
Riddle 1

How can you add eight 8’s to get the number 1,000? (only use addition)

The key to this math riddle is realizing that the one place must be zero. 888 + 88 + 8 + 8 + 8 = 1,000

Riddle 2

Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. The riddle is for you to explain how

How to Explain the Riddle

One of the ‘fathers’ is also a grandfather. Therefore the other father is both a son and a father to the grandson.

In other words, the one father is both a son and a father.

Riddle 3

Part I. What digit is the most frequent between the numbers 1 and 1,000 (inclusive)? To solve this riddle you don’t want to manually do all of the math but rather try to figure out a pattern.

The most common digit is ‘1.’ Can you figure out why? No hints until you try the next riddle because the next riddle is closely tied to this one.

Part II. What digit is the least frequent between the numbers 1 and 1,000?

0 is the least common digit even though 1,000 has three zero’s !

Explanations for both riddles

The digits 0 through 9 all follow the same pattern there is exactly 1 occurrence of each digit for every ten numbers.

• For instance the digit 2 appears once between 10 and 19, at 12. And 2 appears once between, 30 and 39 at 32.
• However, each of the digits 1 through 9 also appear in other numbers in the tens and hundreds place

Again, let’s look at 2 which appears in 20,21,22, 23, etc.. as well as 200,201, 202,203..

So to figure out how to answer the first riddle you had to see what distinguishes the number 1? Only that we are including 1,000 which would be the first ‘1’ in a new series of ten! In other words, the digit 1 only has a single extra occurrence (301 occurrences) compared to 2 or 3 or 9 which each have exactly 300 occurrences.

The reason that zero has the least (BY FAR at only 192 occurrences) is because zero does not have any equivalents to 22, 33, 44, 222, 3333 etc..

Riddle 4

Three guys rent a hotel room for the night. When they get to the hotel they pay the $$\30$$ fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back $5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the$5 dollars and to give the bellhop a $2 tip. However, when they sat down to tally up their expenses for the weekend the could not explain the following details: Each one of them had originally paid$10 (towards the initial $30), then each got back$1 which meant that they each paid $9. Then they gave the bellhop a$2 tip. HOWEVER, 3 • $9 +$2 = $29 The guys couldn’t figure out what happened to the other dollar. After all, the three paid out$30 but could only account for $29. Can you determine what happened? Answer to Riddle There are many ways of explaining/thinking about this truly brain bending riddle! It all boils down to the fact that the lawyers’s math is incorrect. They did NOT spend$9 3 + $2. They spent exactly$27 dollars. $25 for the room and$2 for the tip. Remember they got exactly $3, in total back. Another way to think about the answer to this riddle is to just pretend that the bellhop refunded$3 to the lawyers (rather than giving them $5 and receiving$2 back).

If the lawyers get $3 back and each takes$1. They they spent exactly $27 dollars. Riddle 5 In a certain country of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ? Answer to Riddle The answer is 4 Riddle 6 A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship? 11 cartons total 7 large boxes (7 * 8 = 56 boxes) 4 small boxes (4 10 = 40 boxes 11 total cartons and 96 boxes Riddle 7 A farmer is trying to cross a river. He is taking with him a rabbit, carrots and a fox, and he has a small raft. He can only bring 1 item a time across the river because his raft can only fit either the rabbit, the carrots or the fox. How does he cross the river. (You can assume that the fox does not eat the rabbit if the man is present, you can also assume that the fox and the rabbit are not trying to escape and run away) The key to solving this riddle is realizing that you have to take the rabbit over first and the switch the fox with the rabbit. See step 2. Take the rabbit to the other side Go back and get the Fox and switch it with the Rabbit **The key here is that the carrots and the rabbit are not being left alone. Take the carrots across Go back and get the rabbit Riddle 8 Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How much dollars did Ben and Adam get of the sum, considering equal split of the sacks? Every farmer’s part is 1/3(45+75) = 40 sacks. Charlie paid$1400 for 40 sacks, then 1 sack costs $1400/40 =$35/sack.

Adam got $35*(45-40)=35*5 =$175.

Ben got $35*(75-40)=35*35 =$1225.

Riddle 9

An insurance salesman walk up to house and knocks on the door. A woman answers, and he asks her how many children she has and how old they are. She says I will give you a hint. If you multiply the 3 children’s ages, you get 36. He says this is not enough information. So she gives a him 2 nd hint. If you add up the children’s ages, the sum is the number on the house next door. He goes next door and looks at the house number and says this is still not enough information. So she says she’ll give him one last hint which is that her oldest of the 3 plays piano.

Why would he need to go back to get the last hint after seeing the number on the house next door?

Because the sum of their ages ( the number on the house) is ambiguous and could refer to more than 1 trio of factors.

If you list out the trio of factors that multiply to 36 and their sums, you get :

• 1 1 36 = 38
• 1 2 18 = 21
• 1 3 12 = 16
• 1 4 9 = 14
• 6 6 1 = 13
• 2 2 9 = 13
• 2 3 6 = 11
• 3 3 4 = 10

Since the number on the house next door is not enough information there must be more than 1 factor trio that sums up to it, leaving two possibilities: < 6, 6, 1>, <2, 2, 9>. When she says her ‘oldest’ you know it can not be <6,6,1>since she would have two ‘older’ sons not an ‘oldest’.

Riddle 10

This is a famous one. The classic Monty hall riddle!

You are confronted by 3 doors. Behind one of them is a car, behind the two others, you will only see a goat. Now, if you correctly pick the car, you win the car ! Otherwise, if you get one of the 2 goats, you don’t get the car.

So, pick any door. It doesn’t matter which one, but we will suppose that you picked door #2, as an example.

Should You switch?

Now, after you have picked a door and before finding out what is actually behind it, you are shown a goat behind one of the other doors.(Remember there has to be a goat in 1 of the doors that you have not picked. )

Let’s say you choose door #2, as shown above. For example’s sake, let’s say there’s a goat in door 1. The question and the riddle is : should you switch the door that you picked? In other words, in this example, should you now choose door 3? Or, should you stick with your first choice (door #2)?

There actually is a mathematically correct answer to this riddle: You should indeed change your choice. If you don’t believe me, just try out our free online Monty hall simulation.

Solve Math Problems Online

Get Interactive Learning CDs/DVDs Now

ScoreMore with Edurite ! Complete coverage of Interactive Learning DVDs – all Boards including CBSE, ICSE and state boards

Solving Online Math problems can be interesting with step-by-step explanations for algebra, geometry, trigonometry, calculus and more just like a math tutor. Students can take these sessions based on their learning requirements and most importantly, they can schedule these sessions by staying at home. It saves time and gives personalized attention to students. They can work with proficient subject experts and solve tough Math problems in a virtual environment. It has been observed that most students face difficulties while solving Math problems and to tackle this situation, students need to revise each Math chapter thoroughly. Moreover, they can solve online Math questions, instantly.

The following steps are generally followed to solve Math problems:

• Read it carefully – Students need to read each Math problem carefully and consequently, they can solve it by using the right formula or concept. Reading as well as understanding the problem is necessary for a student in exams.

Help with Math Topics

Several expert Math tutors are associated with TutorVista and they guide students by providing detailed information about each Math topic. Moreover, by choosing online sessions with TutorVista, students can solve all math problems easily and can schedule as many sessions as they need to revise each topic. Apart from this, students can practice online Math questions to brush up their knowledge before tests and exams.

Solve problems in topics like:

Students can take online learning help for solving algebra expressions, geometry problems, equations, probability, statistics, calculus and many more. TutorVista provides suitable learning sessions for various topics. It is stated that online Math help session is well-organized and hence, students can take this session and improve their performance in tests.

Solving Math Problems

Solved Examples

Given equation is quadratic equation, so let us solve by factorization method

Put x = 1 in 5x + 10m = 6

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

Free Mathematics Tutorials

Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.

• In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

• If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?

• The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.

• In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

.

• A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.

• Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg of the triangles is equal to 4 units. What is the area of the remaining octagon?

.

• A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?

• Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings? • Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was$30, what was the final price of the sweater?

• 15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?

• How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).

• The rectangular playground in Tim’s school is three times as long as it is wide. The area of the playground is 75 square meters. What is the primeter of the playground?

• John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?

• N is one of the numbers below. N is such that when multiplied by 0.75 gives 1. Which number is equal to N?

• In 2008, the world population is about 6,760,000,000. Write the 2008 world population in scientific notation.

• Calculate the circumference of a circular field whose radius is 5 centimeters.

Holt Physics Holt Physics

ISBN: 9780030735486 / 0030735483

Author: Jerry S. Faughn Serway

Chapter 1

The Science Of Physics

Chapter 2

Motion In One Dimension

Chapter 3

Two-Dimensional Motion And Vectors

Chapter 4

Forces And The Laws Of Motion

Chapter 5

Work And Energy

Chapter 6

Momentum And Collisions

Chapter 7

Circular Motion And Gravitation

Chapter 11

Vibrations And Waves

Chapter 13

Light And Reflection

Chapter 15

Interference And Diffraction

Chapter 16

Electric Forces And Fields

Chapter 17

Electrical Energy And Current

Chapter 18

Circuits And Circuit Elements

CHEAT SHEET

Physics Q A

Can you find your fundamental truth using Slader as a completely free Holt Physics solutions manual?

YES! Now is the time to redefine your true self using Slader’s free Holt Physics answers. Shed the societal and cultural narratives holding you back and let free step-by-step Holt Physics textbook solutions reorient your old paradigms. NOW is the time to make today the first day of the rest of your life. Unlock your Holt Physics PDF (Profound Dynamic Fulfillment) today. YOU are the protagonist of your own life. Let Slader cultivate you that you are meant to be!

NCERT Exemplar Problems class 12 Physics

NCERT Exemplar Problems class 12 Physics in PDF format are available to download. NCERT books and solutions are also available to download along with the answers given at the end of the book. Buy NCERT Books online , If you are having any suggestion for the improvement, your are welcome. The improvement of the website and its contents are based on your suggestion and feedback. NCERT exemplar questions are very good in concept developing and revision. These questions also gives excellent practice for JEE Mains exam as well as the other competitive examination. After completing the syllabus of 2017 2018 , students are advise to to these questions.

Chapter 1: Electric Charges and Fields

Quantization of Electric Charge: The magnitude of all charges found in nature are in integral multiple of a fundamental charge. Q = ne, where, e is the fundamental unit of charge.

Chapter 2: Electrostatic Potential and Capacitance

Equipotential Surface: A surface on which electric potential is equal at all the points is called an equipotential surface. The direction of electric field is normal to the equipotential surface.

Chapter 3: Current Electricity

Potetiometer: It is a device in which one can obtain a continuously varying potential difference between any two points which can be measured simultaneously. The potential difference between any two points of a petentiometer wire is directly proportional to the distance between that two points.

Chapter 4: Moving Charges and Magnetism

Ampere s Circuital Law: The line integral of magnetic field on a closed curve in a magnetic field, is equal to the product of the algebraic sum of the electric currents enclosed by that closed curve and the permeability of vacuum.

Chapter 5: Magnetism and Matter

The magnetic field lines do not intersect at a point. It forms continuous closed loops. It emerges out from the magnetic north pole, reach the magnetic south pole and then passing through the magnet reach to the north pole to complete the loop.

Chapter 6: Electromagnetic Induction

Self-Induction: When a current flowing through the coil is changed, the magnetic flux linked with the coil itself changes. In such circumstances an emf is induced in the coil. Such emf is called self-induced emf and this phenomenon is called self-induction.

NCERT Exemplar Problems class 12 Physics

NCERT Exemplar Problems class 12 Physics in PDF format are available to download. NCERT books and solutions are also available to download along with the answers given at the end of the book. Buy NCERT Books online

Chapter 1: Electric Charges and Fields

Quantization of Electric Charge: The magnitude of all charges found in nature are in integral multiple of a fundamental charge. Q = ne, where, e is the fundamental unit of charge.

Chapter 2: Electrostatic Potential and Capacitance

Equipotential Surface: A surface on which electric potential is equal at all the points is called an equipotential surface. The direction of electric field is normal to the equipotential surface.

Chapter 3: Current Electricity

Potetiometer: It is a device in which one can obtain a continuously varying potential difference between any two points which can be measured simultaneously. The potential difference between any two points of a petentiometer wire is directly proportional to the distance between that two points.

Chapter 4: Moving Charges and Magnetism

Ampere’s Circuital Law: The line integral of magnetic field on a closed curve in a magnetic field, is equal to the product of the algebraic sum of the electric currents enclosed by that closed curve and the permeability of vacuum.

Chapter 5: Magnetism and Matter

The magnetic field lines do not intersect at a point. It forms continuous closed loops. It emerges out from the magnetic north pole, reach the magnetic south pole and then passing through the magnet reach to the north pole to complete the loop.

Chapter 6: Electromagnetic Induction

Self-Induction: When a current flowing through the coil is changed, the magnetic flux linked with the coil itself changes. In such circumstances an emf is induced in the coil. Such emf is called self-induced emf and this phenomenon is called self-induction.

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Trigonometry Word Problems

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Trigonometry is an important branch of mathematics which deals with ratios and relationships between angles and sides of triangles, especially right angled triangles. Trigonometry deals with mainly six types of trigonometric ratios which are – sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec) and cotangent (cot). There are various important formulae which are used in trigonometry and numerous word problems. Trigonometry word problems include problems relating to circles, degrees, trigonometric functions, radians, exact values of trigonometric ratios and problems involving identities. Students usually find it difficult while solving trigonometrical word problems.

Right Triangle Trigonometry Word Problems

Solved Examples

Let OA be the height of the light house and B be the position of boat.

Given, $\angle$ OBA = 15 degrees and OA = 60 m

or OB = OA cot 15 o (cot x = $\frac<1>$ )

or OB = 60 cot (45 – 30)

Here BC = 100 mt, $\angle$ BAC = 45 degree and $\angle$ BAD = 60 degree

Let the length of the CD = x mt

In Triangle ABC

Now, in triangle ABD,

Therefore, BD = BC + CD

=> 100 $\sqrt 3$ = 100 + x

or x = 100( $\sqrt 3$ – 1) mt

Hence the height of the CD is 100( $\sqrt 3$ – 1) mt .

Free Mathematics Tutorials

• Each side of the square pyramid shown below measures 10 inches. The slant height, H, of this pyramid measures 12 inches.

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1. What is the area, in square inches, of the base of the pyramid?

• The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm 2 . Find angle T in degrees.

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• Find the area of the quadrilateral shown in the figure.(NOTE: figure not drawn to scale)

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• In the figure below triangle OAB has an area of 72 and triangle ODC has an area of 288. Find x and y.

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• Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area?

• Find the circumference of a circular disk whose area is 100 pi square centimeters.

• The semicircle of area 1250 pi centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle.

a) 100 inches squared

b) 100 + 4*(1/2)*12*10 = 340 inches squared

c) h = sqrt(12 2 – 5 2 ) = sqrt(119)

d) Volume = (1/3)*100*sqrt(119)

= 363.6 inches cubed (approximated to 4 decimal digits)

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height = area / base

sin(T) = (32/7) / 8 = 32/56 = 4/7, T = arcsin(4/7) = 34.8 o

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NCERT Exemplar Problems class 12 Physics

NCERT Exemplar Problems class 12 Physics in PDF format are available to download. NCERT books and solutions are also available to download along with the answers given at the end of the book. Buy NCERT Books online , If you are having any suggestion for the improvement, your are welcome. The improvement of the website and its contents are based on your suggestion and feedback. NCERT exemplar questions are very good in concept developing and revision. These questions also gives excellent practice for JEE Mains exam as well as the other competitive examination. After completing the syllabus of 2017 2018 , students are advise to to these questions.

Chapter 1: Electric Charges and Fields

Quantization of Electric Charge: The magnitude of all charges found in nature are in integral multiple of a fundamental charge. Q = ne, where, e is the fundamental unit of charge.

Chapter 2: Electrostatic Potential and Capacitance

Equipotential Surface: A surface on which electric potential is equal at all the points is called an equipotential surface. The direction of electric field is normal to the equipotential surface.

Chapter 3: Current Electricity

Potetiometer: It is a device in which one can obtain a continuously varying potential difference between any two points which can be measured simultaneously. The potential difference between any two points of a petentiometer wire is directly proportional to the distance between that two points.

Chapter 4: Moving Charges and Magnetism

Ampere s Circuital Law: The line integral of magnetic field on a closed curve in a magnetic field, is equal to the product of the algebraic sum of the electric currents enclosed by that closed curve and the permeability of vacuum.

Chapter 5: Magnetism and Matter

The magnetic field lines do not intersect at a point. It forms continuous closed loops. It emerges out from the magnetic north pole, reach the magnetic south pole and then passing through the magnet reach to the north pole to complete the loop.

Chapter 6: Electromagnetic Induction

Self-Induction: When a current flowing through the coil is changed, the magnetic flux linked with the coil itself changes. In such circumstances an emf is induced in the coil. Such emf is called self-induced emf and this phenomenon is called self-induction.