ACT Math : Percentage

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #4 : How To Find Percentage

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:

6.25%

7.125%

6.8%

5.5%

8%

Correct answer:

6.8%

Explanation:

The number of minutes in a week is:

The number of minutes spent studying is:

6.8%

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%

25.0%

30.0%

40.0%

37.5%

Correct answer:

37.5%

Explanation:

Percentage = Students on Soccer Team / Total Number of Students

= 3/8 = .375 = 37.5%

Example Question #71 : Percentage

Student_activities

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

Possible Answers:

35%

25%

20%

30%

15%

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%

Example Question #1231 : Act Math

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:

19 years

9 years

31 years

28 years

30 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.

Example Question #72 : Percentage

What is 9% of 8,100?

Possible Answers:

729

2,700

836

459

900

Correct answer:

729

Explanation:

8,100 * 0.09 = 729

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 50\%

\dpi{100} \small 21\%

\dpi{100} \small 25\%

\dpi{100} \small 16\%

\dpi{100} \small 10\%

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

Example Question #14 : Other Percentage

What is  of 

Possible Answers:

Correct answer:

Explanation:

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

,

then multiply that decimal by the number. 

Example Question #71 : Percentage

 is what percent of ? Round to the nearest hundredth.

Possible Answers:

Correct answer:

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:

Remember, though, that  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:

This is .

Example Question #16 : Other Percentage

What is  of  of ?

Possible Answers:

Correct answer:

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:

Solving for , you get:

Alternatively you could first calculate  of , which is , and then calculate  of that, and you would arrive at the same answer.

Example Question #17 : Other Percentage

A computer originally sold for  dollars. Its price was reduced by  and then again by . What was the final sale price for the computer? Round to the nearest cent.

Possible Answers:

Correct answer:

Explanation:

The most common way to do a problem like this is to begin by applying the first discount, calculating the amount to be removed from the original price. This is done by multiplying the original price by . This gives you . This is then subtracted from  to give you . Once again, this new number is multiplied, now by . This gives you . When subtracted from , this gives you a final price of , or the rounded value of .

A simpler way to do this is to realize that the first price reduction makes the new price to be  of the original. The second will then make the price to be  of the intermediary price. Thus, you could easily compute:

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