FREE ACT Math Question and Answers

Question 1

A automobile gets 27 miles per gallon on average. Which of the following best approximates how much gas would cost for this automobile to travel 2,727 average miles at a price of $4.04 per gallon?

Accepted Answer

$408.04

Answer

$444.40

Answer

$118.80

Answer

$109.08

Answer

$44.44

Question 2

How much does the value of 3x2 - 2y surpass the value of 2x2 - 3y when x = 3 and y = 5?

Accepted Answer

14

Answer

20

Answer

16

Answer

4

Question 3

When 2x + 3 Equals 3x - 4 what is the value of x?

Accepted Answer

7

Answer

-1

Answer

1

Answer

-7

Question 4

What do 42, 126, and 210 have in common most?

Accepted Answer

42

Answer

14

Answer

21

Answer

6

Question 5

A company's revenues increased by $3 million from the first to the second year, and they doubled from the third to the second year. What were sales in millions of dollars for the first year if sales for the third year were 38 million?

Accepted Answer

16

Answer

22

Answer

20.5

Answer

17.5

Question 6

Mines that have been abandoned often fill with water. The water must be drained out of an abandoned mine before it can be reopened. The size of the pump needed will depend on the mine's depth. If a pump that pumps a minimum of + 4D - 250 gallons per minute is needed to pump out a mine that is D feet deep, how many gallons per minute would be needed to pump out a mine that is 150 feet deep?

Accepted Answer

1,250

Answer

1,750

Answer

800

Answer

500

Question 7

A box's length in inches is 3 inches shorter than its width in inches. Which of the following calculations converts the box's width, w inches, into its length, l inches?

Accepted Answer

l = 2w – 3

Answer

l =  w – 3

Answer

l = ½w + 3

Answer

l =  w + 3

Question 8

Between 1 and 6, how many irrational numbers are there?

Accepted Answer

Infinitely many

Answer

10

Answer

4

Answer

3

Question 9

A high school student typically eats 67.5 pounds of sugar annually. Each track team member intends to reduce their sugar intake by at least 20% over the course of the upcoming year as part of a new nutrition strategy. What is the maximum amount of sugar that each member of the track team may take in the upcoming year, assuming that they will follow this plan and consume sugar at the same rate as the average high school student?

Accepted Answer

54

Answer

66

Answer

44

Answer

48

Question 10

When a screw is spun one full turn, the lead is the distance that the screw travels in a straight line. How many full revolutions would it take a screw with a lead of 1/8 inch and a length of 212 inches to insert it all the way into a piece of wood?

Accepted Answer

20

Answer

15

Answer

10

Answer

5

A automobile gets 27 miles per gallon on average.Which of the following best approximates how much gas would cost for this automobile to travel 2,727 average miles at a price of $4.04 per gallon?

A automobile gets 27 miles per gallon on average.
Which of the following best approximates how much gas would cost for this automobile to travel 2,727 average miles at a price of $4.04 per gallon?