ACT Mathematics Practice Test 1

Question 1

The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?

Accepted Answer

$342

Answer

$310

Answer

$340

Answer

$350

Answer

$380

Question 2

On a particular road map, 1/2 inch represents 18 miles. 2 About how many miles apart are 2 towns that are 2 1/2  inches apart on this map?

Accepted Answer

90

Answer

18

Answer

22

Answer

36

Answer

45

Question 3

Given f = cd3, f = 450, and d = 10, what is c ?

Accepted Answer

0.45

Answer

4.5

Answer

15

Answer

45

Answer

150

Question 4

If f (x) = (3x + 7)2, then f (1) = ?

Accepted Answer

100

Answer

10

Answer

16

Answer

58

Answer

79

Question 5

Jorge’s current hourly wage for working  at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge’s new hourly wage?

Accepted Answer

$12.72

Answer

$12.06

Answer

$12.60

Answer

$18.00

Answer

$19.20

Question 6

The  first term is 1 in the  geometric sequence 1, −3, 9, −27, …. What is the SEVENTH term of the geometric sequence?

Accepted Answer

729

Answer

−243

Answer

-30

Answer

81

Answer

189

Question 7

The shipping rate for customers of Ship Quick consists of a fee per box and a price per pound for each box. The table below gives the fee and the price per pound for customers shipping boxes of various weights. Gregg wants Ship Quick to  ship 1 box that weighs 15 pounds. What is the shipping rate for this box?

Accepted Answer

$19.75

Answer

$ 9.75

Answer

$16.50

Answer

$20.00

Answer

$24.50

Question 8

A computer chip 0.32 cm thick is made up of layers of silicon. If the top and bottom layers are each 0.03 cm thick and the inner layers are each 0.02 cm thick, how many inner layers are there?

Accepted Answer

13

Answer

15

Answer

16

Answer

52

Answer

64

Question 9

The table  shows the number of cars Jing sold each month last year. What is the median of the data in the table?

Accepted Answer

23.5

Answer

13

Answer

16

Answer

19

Answer

20.5

Question 10

Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at  1-second  intervals  from  t = 0 seconds to  t = 5 seconds. Which of the following equations represents this relationship between d and t ?

Accepted Answer

d = 6t + 14

Answer

A.	d =	t + 14

Answer

B.	d = 6t + 8

Answer

d = 14t + 6

Answer

E.	d = 34t