Ratios, Proportions, Percentages, Fractions

1. Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?

2017 April(74F) Math Question 1

2013 December(71E) Math Question 1

1. A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter, When the ingredients in this recipe are increased proportionally, how many cups of butter are required for the recipe to yield 72 cookies?

2016 April(72E) Math Question 1

2011 April(67F) Math Question 1

2020 June(C02) Math Question 1

2012 December(71A) Math Question 2

2010 December(69A) Math Question 2

2. The table below shows the income earned by 5 students from selling tickets for a school fund-raiser. Each student earned the same amount for each ticket sold. Another student, Francis, also earned that same amount for each ticket sold, for an income earned of $123.25 from selling tickets. How many tickets did Francis sell?

2015 April(73G) Math Question 2

Because of rising expenses, a motel manager raises the room rate of $80.00 by 20% to get the new room rate for the motel. What is the new room rate?

2024 June(G20) Math Question 2

2009 June(67C) Math Question 3

3. Consider the equation k = 7/5j + 54. For what value of j is the value of k equal to 40 ?

2017 December(A10) Math Question 3

2020 July(C01) Math Question 3

3. What is the least common denominator of the fractions

Least Common Multiple (LCM)

2021 June(D06) Math Question 3

3. Last year at RT University, the ratio of the number of students accepted to the number of students applying for admission was 2 to 7. RT University accepted 630 students last year. Flow many students applied to RT University last year?

2018 April(A09) Math Question 3

2011 April(67F) Math Question 3

For which of the following fractions does the decimal expansion require 1 repeating nonzero digit?

2025 October(J08) Math Question 3

4. Esteban and his family are making care packages to send to children at summer camp. Each complete care package contains 5 pens, 2 notebooks, 3 envelopes, 12 cookies, and 5 candy bars. Esteban and his family have already made 7 complete care packages and the following materials remain:

2017 June(74C) Math Question 4

2012 June(70C) Math Question 4

2009 December(68A) Math Question 4

4. Given that 5 pounds of coffee makes exactly 210 servings, how many pounds of coffee makes exactly 70 servings?

Ratios

2021 April(D05) Math Question 4

2012 December(71A) Math Question 5

2010 December(69A) Math Question 5

2010 June(68C) Math Question 5

Students voted for either Option A or Option B. For every vote Option A received, Option B received 4 votes. Given that there was a total of 20 votes, how many votes did Option B receive in total?

2026 April(R4A) Math Question 5

2020 July(C01) Math Question 6

6. What is the least common multiple of 60, 70, and 90 ?

2020 December(D03) Math Question 6

2018 April(A09) Math Question 7

2019 June(72F) Math Question 7

2011 June(69F) Math Question 7

7. Shown below is a regular hexagon inscribed in a circle whose radius is 4 inches. What is the perimeter, in inches, of the hexagon?

2017 December(A10) Math Question 7

7. On a map, 1/2 inch represents 10 actual miles. Two

2016 December(74H) Math Question 7

2019 April(B04) Math Question 7

7. What is the least common multiple of 50, 70, and 90 ?

2015 April(73G) Math Question 7

What is the value of y − x when y = −11/16 and x = 18/32?

2023 September(G01) Math Question 7

2009 April(66F) Math Question 8

Next year, there will be 3,432 high school students in a certain district. Each of these students will attend either East High School or West High School but not both. Because of the facilities, the ratio of the number of East High School students to the number of West High School students must be 11 to 13. How many of these students will attend East High School?

2025 October(J08) Math Question 8

Ms. Clark is scoring her class's geography test. The test had 30 questions, each worth 1 point. Ms. Clark is currently scoring Tomás's test paper. So far, she has marked 24 of his answers correct and 3 incorrect. What is the maximum percent correct, to the nearest percent, that Tomás can earn on the test?

2023 September(G01) Math Question 8

What number, when added to 1/3, gives a sum that is equal to the sum of 1/4 and 1/6?

2024 June(G20) Math Question 8

9. Let a and 17 be positive prime numbers. Which of the following numbers must be a factor of both a and b ?

2013 June(71C) Math Question 9

9. In a poll of 500 registered voters, 337 voters favored a proposal to increase funding for local schools. Suppose the poll is indicative of how the 22,000 registered voters will vote on the proposal. Which of the following values is closest to how many of the 22,000 registered voters will be expected to vote in favor of the proposal?

2018 June(A11) Math Question 9

2019 April(Z15) Math Question 9

9. Property valued at $56,000 is assessed at 3/4 of its value. If the yearly tax is calculated as $3 per $100 of assessed value, what is the yearly tax on this property?

2016 December(74H) Math Question 9

2019 April(B04) Math Question 9

2019 December(C03) Math Question 9

2019 June(72F) Math Question 9

2012 June(70C) Math Question 9

2010 December(69A) Math Question 9

9. When 5 4/9 is written as an improper fraction in lowest terms, the numerator of the fraction is:

2015 December(72E) Math Question 9

9. According to the United States Department of Commerce, the approximate area of Rhode Island is 1.5 × 103 square miles and the approximate area of Alaska is 6.6 × 105 square miles. Using these measurements, which of the following is closest to the ratio of the area of Alaska to the area of Rhode Island?

Scientific Notation

2021 April(D05) Math Question 9

2020 June(C02) Math Question 9

2013 April(71G) Math Question 10

2012 April(70G) Math Question 10

2011 April(67F) Math Question 10

10. Katerina runs 15 miles in 2 1/2 hours. What is the average number of minutes it takes her to run 1 mile?

Speed, Distance, and Time

Unit Conversions (Feet to inches, miles to feet, hours to seconds)

2021 April(Z04) Math Question 10

There were 425 students in the 10th grade at Hayes County High School this year. Of these students, 3/5 were enrolled in geometry. Of the students enrolled in geometry, 1/5 earned a grade of A in geometry this year. How many of the geometry students earned a grade of A in geometry this year?

2024 December(H31) Math Question 10

2018 December(B05) Math Question 11

2013 December(71E) Math Question 11

2012 December(71A) Math Question 11

2020 July(C01) Math Question 11

For an architecture class project, Lizette is making a scale drawing of Mr. Patel's classroom, which is rectangular with a width of 25 feet and a length of 30 feet. Lizette draws a 3-inch line segment to represent the width of the rectangle. How long a line segment, in inches, should Lizette draw to represent the length of the rectangle?

2023 April(F11) Math Question 11

2013 December(71E) Math Question 12

2011 April(67F) Math Question 12

2009 April(66F) Math Question 12

12. The ratio of 30 to 24 is the same as the ratio of 40 to what number?

2014 December(72G) Math Question 12

2019 April(B04) Math Question 12

2012 April(70G) Math Question 12

Which of the following expressions gives the number of revolutions a tire with a diameter of d feet will make in a trip m miles long? (Note: 1 mile = 5,280 feet)

2024 December(H31) Math Question 12

2018 December(B05) Math Question 13

2010 April(68G) Math Question 13

2009 April(66F) Math Question 13

13. Jake wants to build a scale model of his house. The house is 48 feet long and 32 feet wide, and it is 30 feet tall at the highest point. Jake wants the model to be 8 inches long. How wide, in inches, should his model be?

Rectangular solids

2021 April(D05) Math Question 13

2019 December(C03) Math Question 14

2009 December(68A) Math Question 14

Rafael has made a scale model of City Park, shown below, in which 3 lengths are given in inches. On the model, BC represents an actual length of 90 feet in the park. On the model, DE represents what actual length, in feet, in the park?

2024 June(G20) Math Question 14

A vertical rod 42 feet tall casts a shadow 14 feet long, and at the same time a nearby vertical flagpole casts a shadow 42 feet long. How many feet tall is the flagpole?

2024 December(H31) Math Question 14

15. The ratio of Jane’s age to her daughter’s age is 9:2. The sum of their ages is 44. How old is Jane?

2017 June(74C) Math Question 15

2019 December(C03) Math Question 15

2009 December(68A) Math Question 15

2021 April(Z04) Math Question 15

Which of the following expressions is equal to 1/3 + 2/9 + 1/10?

2023 April(F11) Math Question 15

16. Chelsea’s car travels an average of 32 miles per gallon of gas used, and she pays an average of $2.25 per gallon of gas. Chelsea will drive her car along Highway H from Marville to Bright City. To the nearest $1, what will be the total cost of gas that her car uses for the drive?

2014 April(71H) Math Question 16

16. For the next school year, a college will use of the

2017 June(74C) Math Question 16

16. In this survey, what is the ratio of the number of students who selected Athletics to the number of students who selected Soccer?

2013 June(71C) Math Question 16

2013 December(71E) Math Question 16

2009 June(67C) Math Question 16

17. What value of x makes the proportion below true?

2017 June(74C) Math Question 17

2011 June(69F) Math Question 17

2019 April(B04) Math Question 18

2010 April(68G) Math Question 18

19. The counselors at Lakewood High School interviewed 200 students to determine placement in 3 different honors courses: Math, Chemistry, and Literature. The numbers of these students placed in these honors courses are shown in the Venn diagram below. Of these 200 students, 10% were placed into all 3 honors courses, and 35% were placed into exactly 2 honors courses. What percent of the students were placed into exactly J. honors course?
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2013 June(71C) Math Question 19

2019 April(B04) Math Question 19

2012 December(71A) Math Question 19

20. A survey about 3 issues affecting Bluff City Park was given to 60 residents. The results of the survey are shown below.

2016 December(74H) Math Question 20

2019 June(72F) Math Question 20

2013 April(71G) Math Question 20

2010 June(68C) Math Question 20

One neon sign flashes every 6 seconds. Another neon sign flashes every 8 seconds. Given that the signs sometimes flash simultaneously, how many seconds are there between consecutive simultaneous flashings?

Ratios, Proportions, Percentages, FractionsThere are 244 ACT math questions under Ratios, Proportions, Percentages, Fractions

Sub-topics

2017 April(74F) Math Question 1

2013 December(71E) Math Question 1