ACT-Math by ACT Valid Free Exam Practice Test

Question 1

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In the circle above, the measure of

is
80º and the length of arc AB is 28πunits.
What is the radius of the circle?

Correct Answer:

63

Question 2

If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder:

A. becomes half as large. B. becomes four times smaller. C. remains the same. D. becomes twice as large. E. becomes four times larger.

Correct Answer: A

Question 3

The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15.
To the nearest whole number, what is the mean of the list?

A. 26 B. 30 C. 25 D. 20 E. 27

Correct Answer: A

Question 4

Mario plays basketball on a town league team. The table below gives Mario's scoring statistics for last season.

How many points did Mario score playing basketball last season?

A. 330 B. 380 C. 129 D. 213 E. 190

Correct Answer: D

Question 5

What is the slope of the line -3y = 12x - 3?

A. 12 B. 4 C. -3 D. -4 E. 1

Correct Answer: D

Question 6

In the diagram above, triangle ABC is a right triangle and the diameter of circle O is 2/3 the length of AB.

Which of the following is equal to the shaded area?

A. 24 - 4π square units B. 48 - 4π square units C. 48 - 16π square units D. 20π square units E. 24 - 16π square units

Correct Answer: A

Question 7

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If -6 b + 2 a - 25 = 5 and

, what is the value of

?

Correct Answer:

1/4

Question 8

The point (6, -3) could be the midpoint of which of the following lines?

A. a line with endpoints at (0, -1) and (12, -2) B. a line with endpoints at (-6, 3) and (-6, -3) C. a line with endpoints at (3, 3) and (12, -6) D. a line with endpoints at (2, -3) and (6, 1) E. a line with endpoints at (6, 0) and (6, -6)

Correct Answer: E

Question 9

Gil drives five times farther in 40 minutes than Warrick drives in 30 minutes.
If Gil drives 45 miles per hour, how fast does Warrick drive?

A. 30 mph B. 9 mph C. 15 mph D. 6 mph E. 1 2 mph

Correct Answer: E

Question 10

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
What is the area of the rectangle in square centimeters?

A. 15 B.

C.

D. 50 E. 200

Correct Answer: D

Question 11

What is the greatest common factor of 52, 156, and 260?

A. 4 B. 52 C. 36 D. 18

Correct Answer: B

Question 12

At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?

A. 9 B. 3/2 C. 9/2 D. 6 E. 1

Correct Answer: C

ACT American College Testing: Math Section - ACT-Math Exam Practice Test