ACT Math Practice Test Pool 1

Question 1

A number is divided by four. The result is divided by three, for a final result of two. What was the original number?

Accepted Answer

24

Answer

6

Answer

12

Answer

18

Answer

36

Question 2

Which of the following is true about the number 0.6666 ?

Accepted Answer

It is a rational number.

Answer

It is an irrational number.

Answer

It is correctly gridded as “.66”.

Answer

It is equivalent to 67\/100.

Answer

It was a little devil last night.

Question 3

The price of a shirt is increased by 20%, and the price of a $40 pair of shoes is decreased by 40%. If the new price of the shirt now equals the new price of the shoes, what was the original price of the shirt?

Accepted Answer

$20

Answer

$16

Answer

$24

Answer

$28

Answer

$32

Question 4

Three consecutive integers are such that four times the smallest is three times the largest. What is the largest of these three integers?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Answer

14

Question 5

Let f(x) = 4x − 3. If f(a) = 9 and f(b) = 5, then what is f(a + b) ?

Accepted Answer

17

Answer

5

Answer

7

Answer

14

Answer

16

Question 6

In a box containing only purple and green marshmallows, 6 marshmallows are purple. If the probability of choos- ing a purple marshmallow from the box is 1\/3 , how many green marshmallows are in the box?

Accepted Answer

12

Answer

2

Answer

6

Answer

9

Answer

18

Question 7

In a particular card game, the minimum score a player can achieve in a single game is 20, and the maximum score possible in a single game is 52. If a player plays three games and scores a total of 141 points, what is the least number of points that the player could have scored in one of the games?

Accepted Answer

37

Answer

35

Answer

36

Answer

38

Answer

39

Question 8

What is the sum of the four times the largest negative integer and the small- est positive integer?

Accepted Answer

-3

Answer

-2

Answer

-1

Answer

0

Answer

1

Question 9

When a number x is subtracted from 36 and the difference is divided by x, the result is 2. What is the value of x ?

Accepted Answer

12

Answer

2

Answer

4

Answer

6

Answer

18

Question 10

Which of the following is NOT a positive multiple of 9 + 3 ?

Accepted Answer

3

Answer

12

Answer

24

Answer

48

Answer

60