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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. 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 33%.
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 25%.

2. FILL BLANK
If 2a 2 + b = 10 and - (b/4 + 3a) = 11, what is the positive value of a?

3. Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A) 192
B) 125
C) 208
D) 317
E) 156

4. FILL BLANK
The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?

5. FILL BLANK
If a number is chosen at random from a set that contains only the whole number factors of 24, what is the probability that the number is either a multiple of four or a multiple of six?

Solutions: