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ACT Math : Arithmetic

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Example Questions

Example Question #161 : Arithmetic

Sally earns 3% commission on a house she sold for $150,000. How much money did she earn?

Possible Answers:

$\$5,000$

$\$7,500$

$\$9,000$

$\$1,500$

$\$4,500$

Correct answer:

$\$4,500$

Explanation:

$\$\ sales \times \% \ commission = \$ \ commission$

So the equation to solve becomes $150,000 \cdot 0.03$ or $\$4.500$ earned.

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Example Question #3 : Other Percentage

What number is 125% of 160?

Possible Answers:

225

200

250

180

240

Correct answer:

200

Explanation:

Verbal cues include "is" and "of." "Is" means equals and "of" means multiply.

So the equation to solve becomes $x = 1.25\cdot160$ or 200 .

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Example Question #1232 : Act Math

A high school student spends a total of 90 minutes per day studying for the ACT, Monday through Friday, then 2 hours a day on the weekend. What percent of their week is spent studying for the ACT?

Possible Answers:

7.125%

6.25%

5.5%

6.8%

Correct answer:

6.8%

Explanation:

The number of minutes in a week is:

$24\ hrs./day \times 60\ min./hr. \times 7\ days/week = 10,080 \ min./week$

The number of minutes spent studying is:

$(90\ min./day \times 5) + (120\ min./day \times 2) = 690$

$690/10080 = .68 \times 100 = 6.8$

6.8%

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Example Question #71 : Percentage

Student_activities

Above is a chart showing the students and the different activities they are involved in. What percentage of the students are on the soccer team? Round to the nearest tenth of a percent.

Possible Answers:

32.5%

30.0%

25.0%

37.5%

40.0%

Correct answer:

37.5%

Explanation:

Percentage = Students on Soccer Team / Total Number of Students

= 3/8 = .375 = 37.5%

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Example Question #72 : Percentage

Student_activities

What percentage of the students are involved in both newspaper and soccer?

Possible Answers:

15%

30%

35%

25%

20%

Correct answer:

25%

Explanation:

There are three students involved in soccer. Read across the chart and two of them are also involved in newspaper.

Percentage = 2/Total Number of Students

= 2/8 = .25 = 25%

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Example Question #73 : Percentage

The average person spends 30% of their life sleeping. Assuming the average person lives till the age of 93, how many years will they have spent asleep? Round to the nearest whole number

Possible Answers:

31 years

19 years

30 years

9 years

28 years

Correct answer:

28 years

Explanation:

This problem requires simple arithmetic, 30% of 93 can be obtained by multiply 93 X .30 = 27.9 Rounding yields 28 years.

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Example Question #14 : How To Find Percentage

What is 9% of 8,100?

Possible Answers:

729

2,700

900

836

459

Correct answer:

729

Explanation:

8,100 * 0.09 = 729

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Example Question #1231 : Act Math

76 eleventh-grade students turned in term papers on the United States Constitution. 3 students failed, 26 students recieved C's, 31 students recieved B's. The remaining students earned A's on their papers.

What percentage of students earned A's on their paper? (Round to the nearest percent.)

Possible Answers:

$\dpi{100} \small 25\%$

$\dpi{100} \small 10\%$

$\dpi{100} \small 50\%$

$\dpi{100} \small 21\%$

$\dpi{100} \small 16\%$

Correct answer:

$\dpi{100} \small 21\%$

Explanation:

Subtract 3, 26, and 31 from 76 to figure out how many students got A's (16).

$\dpi{100} \small \frac{16}{76} \times 100$

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Example Question #165 : Arithmetic

What is $73\%$ of 225?

Possible Answers:

60.75

175

200

164.25

180.5

Correct answer:

164.25

Explanation:

To find the percentage of a number, convert the percentage into a decimal by diving the percent by 100.

$\frac{73}{100} = 0.73$ ,

then multiply that decimal by the number.

$225\cdot 0.73 = 164.25$

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Example Question #1238 : Act Math

$\small 15$ is what percent of $\small 48$ ? Round to the nearest hundredth.

Possible Answers:

$\small 31.25\%$

$\small 68.75\%$

$\small 22.95\%$

$\small 3.2\%$

$\small 27.5\%$

Correct answer:

$\small 31.25\%$

Explanation:

For percentage problems, the easiest way to start is by remembering that the word "of" is best translated as a multiplication, while the word "is" is best translated by an equals sign. Thus, for the information provided, we can write the equation:

$\small 15 = x * 48$

Remember, though, that $\small x$ will represent a percentage in a decimal form and will need to be translated. (There are other ways of doing this, but most students remember to do this translation at the end naturally.)

Solving for , you get:

$\small x=\frac{15}{48}=0.3125$

This is $\small 31.25\%$ .

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ACT Math : Arithmetic

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #161 : Arithmetic

Example Question #3 : Other Percentage

Example Question #1232 : Act Math

Example Question #71 : Percentage

Example Question #72 : Percentage

Example Question #73 : Percentage

Example Question #14 : How To Find Percentage

Example Question #1231 : Act Math

Example Question #165 : Arithmetic

Example Question #1238 : Act Math

All ACT Math Resources

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