#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?

23. ## Free Compass Math Test Practice Questions with Answers – Sample 1 #puzzle Posted on 19/11/201619/11/2016 by admin

#

# Free Compass Math Test Practice Questions with Answers – Sample 1

Math questions, with answers, similar to the questions in the compass math test are presented. The questions are designed to reflect the major topics covered in the compass test: Numerical skills/pre-Algebra, algebra. college algebra, geometry and trigonometry. The answers are at the bottom of the page and the solutions with full explanations to these questions are also included.

## A – Numerical Skills/Pre-Algebra

1. In scientific notation, 3.0 x 10 -5 + 0.0000022 =

A) 3.5 x 10 -5
B) 3.22 x 10 -5
C) 5.2 x 10 -6
D) 3.5 x 10 -6
E) 5.2 x 10 -11

is calculated and the fraction obtained reduced to simplest form, then what is its numerator?
A) 12
B) 8
C) 7
D) 6
E) 3

2. A shop owner increased the selling price of a shirt from \$20 to \$26. By what percentage was the price increased?
A) 6
B) 26
C) 30
D) 46
E) 60
3. Tom worked for 6 hours and was paid \$5.50 per hour. He then went shopping and bought two magazines at \$9.50 each and a pen at \$8.25. How much money does Tom have left?
A) \$60.25
B) \$15.25
C) \$33
D) \$27.25
E) \$5.75
4. Bill bought 1(3/4) pounds of Cheddar cheese, 3.75 pounds of blue cheese and 4(1/2) pounds of goat cheese. How many pounds of cheese did Bill buy?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7

5. In a certain school, 40% of all students are 8 years old or younger. The number of the remaining students is 120. How many students are 8 years old or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
6. 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
A) 60
B) 80
C) 48
D) 20
E) 45
7. A car hire company offers two plans A and B. In plan A, a customer pays a flat fee of \$20 for the day plus 5 cents for each kilometer. In plan B, a customer pays a flat fee of \$15 for the day plus 7 cents for each kilometer. For how many kilometers would a customer pay the same amount for the two plans?
A) 1000
B) 800
C) 242
D) 400
E) 250
8. Joe worked part time for x hours and earned y dollars. How much does he earn if he works z hours?
A) yz/x
B) z/(xy)
C) xyz
D) zx/y
E) xy/z
9. In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

## B – Algebra

10. If a = -2 and b = -2, what is the value of (a 3 – 1) / (b – 1)
A) 3
B) -9
C) -3
D) 9
E) 6
11. x is a variable such that if 20% of it is added to its fifth the result is equal to 12 subtracted from seven tenths of x. Find x.
A) 0.2
B) 1/5
C) 7/10
D) 20
E) 40
12. The area A of a trapezoid is given by the formula A = 0.5(b + B)h, where b and B are the sizes of the bases and h the size of the height of the trapezoid. Express B in terms of A, b and h.
A) 0.5Ah – b
B) 2A/h – b
C) (2A – b)/h
D) 2A/h + b
E) (2A + b)/h
13. Tom, Linda and Alex have \$120 dollars. Alex has the third of what Tom has and Linda has twice as much as Alex. How much money, in dollars, does Linda have?
A) 10
B) 20
C) 40
D) 60
E) 80
14. Which of the following is equivalen to 6x 2 – 11x – 2?
A) (6x – 1)(x + 2)
B) (3x – 1)(2x + 2)
C) (3x + 1)(2x – 2)
D) (6x + 1)(x – 2)
E) (x + 1)(6x – 2)
15. Which of the following is a factor of x 2 – 7x – 8?
A) x + 1
B) x + 8
C) x + 7
D) x – 1
E) x – 7
16. (2xy 2 – 3x 2 y) – (2x 2 y 2 – 4x 2 y) =
A) 2x 2 y 2
B) -2x 2 y 2 -7x 2 y – 2x 2 y 2
C) -2x 2 y 2 + x 2 y – 2x 2 y 2
D) 2x 2 y 2 + x 2 y – 2x 2 y 2
E) -2x 2 y 2 + x 2 y + 2xy 2
17. During the same journey, Stuart drove x miles for 2 hours, and 200 miles for 3 hours. Find x if the average speed for the entire journey is 70 miles per hour.
A) 166
B) 167
C) 150
D) 140
E) 120

18. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?

A) (I) and (II)
B) (II) and (III)
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)

19. If f(x) = (x + 1) 2. then f(t + 2) =
A) t 2 + 2t + 4
B) t 2 + 4
C) t 2 + 6t + 9
D) t 2 + 9
E) t 2 + 2t + 1
20. For x 0 and y 0,
( x + y) ( x – y) – ( x – y) 2 =
A) -2 x y – 2y
B) x – y
C) 0
D) -2 x y + 2y
E) 2 x y – 2y
21. What is the slope of the line whose equation is given by
x/2 – y/4 = 7
A) 2
B) 1/2
C) -1/4
D) -1/2
E) -2
22. In a standard rectangular system of axes, point A has the coordinates (2. 1). What must be the coordinates of point B if M(3. 2) is the midpoint of the segment AB?