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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

Question 1

In the diagram above, FDCB is a rectangle. Line ED is six units long, line AB is ten units long, and the
measure of angle ECD is 60º.

What is the length of line AE?

A.

B.

C.

D. 20
E. 8

Question 2

If p < 0, q > 0, and r > p, then which of the following must be true?

A. r + q > q
B. p + r > 0
C. rp < rq
D. p + r < r + q
E. pr < rq

Question 3

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

A. 30°
B. 60°
C. 15°
D. 72°
E. 45°

Question 4

A pair of Jump sneakers costs $60 and a pair of Speed sneakers costs $45.
For the two pairs of sneakers to be the same price

A. the price of a pair of Jump sneakers must decrease by 25%.
B. the price of a pair of Jump sneakers must decrease by 15%.
C. the price of a pair of Speed sneakers must increase by 15%.
D. the price of a pair of Speed sneakers must increase by 25%.
E. the price of a pair of Jump sneakers must decrease by 33%.

Question 5

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

A. $300
B. $800
C. $500
D. $600
E. $200

Solutions: