# 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.