MATH
TEST TIPS
An actual ACT Mathematics Test contains 60 questions to be answered in 60 minutes.
Read each question carefully to make sure you understand the type of answer required.
If you choose to use a calculator, be sure it is permitted, is working on test day, and has reliable batteries.
Use your calculator wisely.
Solve the problem.
Locate your solution among the answer choices.
Make sure you answer the question asked.
Make sure your answer is reasonable.
Check your work.
Calculator Tips
Review the latest information on permitted and prohibited calculators.
You are not required to use a calculator. All the problems can be solved without a calculator.
If you regularly use a calculator in your mathematics work, use one you're familiar with when you take the mathematics test. Using a more powerful, but unfamiliar, calculator is not likely to give you an advantage over using the kind you normally use.
DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document.
Do not linger over problems that take too much time. Solve as many as you can; then return to the others in the time you have left for this test.
You are permitted to use a calculator on this test. You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.
Note: Unless otherwise stated, all of the following should be assumed.
Illustrative figures are NOT necessarily drawn to scale.
Geometric figures lie in a plane.
The word line indicates a straight line.
The word average indicates arithmetic mean.
1.
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
Individual Question
$44.44
$109.08
$118.80
$408.04
$444.40
Submit
2.
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
Individual Question
4
14
16
20
50
Submit
3.
What is the value of x when 2x + 3 = 3x – 4 ?
Individual Question
-7
1
7
Submit
4.
What is the greatest common factor of 42, 126, and 210 ?
Individual Question
2
6
14
21
42
Submit
5.
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
Individual Question
16
17.5
20.5
22
35
Submit
6.
In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
Individual Question
are equal.
are NOT equal.
sum to 30°.
sum to 45°.
sum to 60°.
Submit
7.
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
Individual Question
362
500
800
1,250
1,750
