Ratios, Proportions, Percentages, Fractions

Percents & Fractions

2011 April(67F) Math Question 1

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

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

2009 December(68A) Math Question 4

2011 June(69F) Math Question 7

2019 April(B04) Math Question 7

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

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

2020 June(C02) Math Question 9

2012 April(70G) Math Question 10

2013 December(71E) Math Question 11

2012 December(71A) Math Question 11

2020 July(C01) Math Question 11

2011 April(67F) Math Question 12

2012 April(70G) Math Question 12

2018 December(B05) Math Question 13

2010 April(68G) Math Question 13

2009 April(66F) Math Question 13

2019 December(C03) Math Question 14

2009 December(68A) Math Question 14

2009 December(68A) Math Question 15

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

2017 June(74C) Math Question 16

2011 June(69F) Math Question 17

2019 April(B04) 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

2019 June(72F) Math Question 20

2019 April(B04) Math Question 21

2019 June(72F) Math Question 21

22. An experiment consisted of rolling a 6-sided cube with the digits 1 through 6 on its faces, 1 digit per face. The cube was rolled 50 times, and after each roll, the number appearing on the top face was recorded. The number of times each digit was recorded is represented in the bar graph shown below. In what percent of the total number of rolls did a 5 appear on the top face of the cube?

2015 December(72E) Math Question 22

2020 June(C02) Math Question 22

23. The sum of 2 and 200% of 1 has the same value as which of the following calculations?

2018 June(A11) Math Question 23

2010 April(68G) Math Question 23

2017 April(74F) Math Question 23

2013 June(71C) Math Question 25

26. Ava starts with a long list of numbers, each of which she must multiply by 3 and then divide by She could get the same results by multiplying each number on her list by which of the following numbers?

2013 June(71C) Math Question 26

27. Last month, Lucie had total expenditures of $900. The pie chart below breaks down these expenditures by category. The category in which Lucie's expenditures were greatest is what percent of her total expenditures, to the nearest 1 % ?

2014 June(72C) Math Question 27

2013 April(71G) Math Question 27

2019 April(B04) Math Question 28

28. 40% of 250 is equal to 60% of what number?

2015 June(73C) Math Question 28

29. What positive number when divided by its reciprocal has a result of 4/25 ?

2016 April(73E) Math Question 29

30. Maria ordered a pizza. She ate only 2/9 of it and gave the remaining pizza to her 3 brothers. What fraction of the whole pizza will each of Maria's brothers receive, if they share the remaining pizza equally?

2017 April(74F) Math Question 30

30. Adams High School has 120 students, and 1/3 of thestudents are taking Literature. Of the students NOT taking Literature, I are taking Composition. No students are taking both Literature and Composition. How many students are taking Composition?

2018 April(A09) Math Question 30

2019 April(Z15) Math Question 30

30. A family’s budgeted items are expressed as a fraction of their weekly income in the chart below.

2021 June(D06) Math Question 30

2017 June(74C) Math Question 31

31. Shown below; a board 5 feet 6 inches long is cut into 2 equal parts. What is the length, to the nearest inch, of each part?

2018 June(A11) Math Question 31

2011 June(69F) Math Question 31

2018 December(B05) Math Question 31

2019 April(B04) Math Question 31

32. A company that builds bridges used a pile driver to drive a post into the ground. The post was driven 18 feet into the ground by the first hit of the pile driver. On each hit after the first hit, the post was driven into the ground an additional distance that was 3 the distance the post was driven in the previous hit. After a total of 4 hits, the post was driven how many feet into the ground?

2018 June(A11) Math Question 32

2009 December(68A) Math Question 32

2019 April(B04) Math Question 34

34. The length of the south side of the park is what percent of the length of the north side?

2017 April(74F) Math Question 34

2019 April(Z15) Math Question 35

36. The roller coaster is at a height of at least 235 feet for a total of 5 seconds during each complete ride. Which of the following is closest to the percent of the time during a complete ride that the roller coaster is at a height of at least 235 feet?

2018 April(A09) Math Question 36

2012 June(70C) Math Question 36

2010 April(68G) Math Question 36

36. What percent of the volunteers actually carry Yq77 ?

Percentages

2021 April(Z04) Math Question 36

2010 April(68G) Math Question 37

37. One number is 25% of a second number, and the second number is 70% of a third number. The first number is what percent of the third number?

2021 June(D06) Math Question 37

2019 April(Z15) Math Question 37

38. What fraction of these nonstudent residents replied that they disapproved of the change in hours?

2017 June(74C) Math Question 38

38. Which of the following. operations will produce the
largest result· when substituted for the blank in the
expression 14 -., -(- ~)?

2019 June(B02) Math Question 38

2019 December(C03) Math Question 38

38. Use the following information to answer questions 38–40. A website about birds made the 4 claims below about American robins. 1. The population of American robins in 2015 was 320 million. 2. The wingspans of all American robins can be fit to a normal distribution model that has a mean of 36.00 cm and a standard deviation of 2.50 cm. 3. The maximum reported flight speed for an American robin is 3,168 feet per minute. 4. A certain conservation organization will only consider American robins threatened if the total number of American robins declines by at least 30% over a 10-year period. 38. Suppose the population of American robins increased each year from 2005 to 2015. The conservation organization will consider American robins threatened provided that their population in 2025 is no greater than what number?

Percentage Increase / Decrease

2020 December(D03) Math Question 38

39. Mrs. Neeson, a science teacher, told her students that 30.0% of their final semester grades will come from their homework averages, and the remaining 70.0% will come from their test averages. She also said that the final exam will count for 20.0% of the test average. What percent of the science final semester grade is the final exam grade?

2021 June(D06) Math Question 39

40. After constructing the table, it was discovered that the student status of 15 residents who replied that they approved had been incorrectly classified as nonstudents. After correcting the errors, exactly 60% of the college students had replied that they approved. To the nearest 1%, what percent of high school students replied that they approved?

2017 June(74C) Math Question 40

40. The area of the garden is what percent of the area of the yard?

2016 December(74H) Math Question 40

2019 April(Z15) Math Question 41

2019 June(72F) Math Question 41

2019 April(Z15) Math Question 42

2010 April(68G) Math Question 42

2019 December(C03) Math Question 42

45. The notebook supplier is offering Jin’s a Style D notebook that has 60% more sheets than the Style C notebook has. How many sheets does the Style D notebook have?

2014 April(71H) Math Question 45

46. Mary, James, and Carlos sold 1/4 -page advertisements for the school yearbook. Mary sold twice as many as Carlos did, and James sold 3  times as many as Mary did. What fraction of these advertisements did Carlos sell?

Ratios

2021 April(Z04) Math Question 46

2011 April(67F) Math Question 47

48. Sani’s course grade in his chemistry class is based on 3 tests and 1  final exam. Each of the 3  test scores is weighted as 20% of the course grade, and the final exam score is weighted as 40% of the course grade. Sani’s 3  test scores are 78, 86, and 82, respectively. What is the minimum score that Sani will have to earn on the final exam in order to receive a course grade of at least 86 ?

2021 December(E23) Math Question 48

2019 June(72F) Math Question 50

2009 April(66F) Math Question 50

2019 April(Z15) Math Question 52

2009 April(66F) Math Question 52

54. There are 66 calories in 15 grams of grated Parmesan cheese, and 59% of those calories are from fat. When measuring Parmesan cheese, 5 grams is equal to 1 tablespoon. Which of the following is closest to the number of calories from fat per tablespoon of grated Parmesan cheese? .

2018 April(A09) Math Question 54

2019 June(72F) Math Question 55

55. Size 5 units can be subdivided to form other sizes of units. What is the greatest number of Size 1 units that can be formed from a single Size 5 unit?

2015 April(73G) Math Question 55

2018 December(B05) Math Question 57

2009 December(68A) Math Question 57

57. There are 100 fractions in the following set. Each fraction after the first is found by adding 3 to the preceding fraction’s numerator and denominator. What is the product of these 100 fractions?

Percents & FractionsRatios, Proportions, Percentages, FractionsACT math questions

2011 April(67F) Math Question 1

2015 April(73G) Math Question 2