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SAT Math: Problem-Solving and Data Analysis

Ratios, percentages, statistics, and probability.

SAT is a trademark of the College Board. FreeExam is not affiliated with the College Board, and these questions are original practice, not an official test.

  1. 1.A winter coat priced at $80 is discounted by 25%. What is the sale price?

  2. 2.What is the mean of 4, 6, 8, and 10?

  3. 3.A bag contains 12 marbles, and 3 of them are red. One marble is drawn at random. What is the probability that it is red?

  4. 4.A costume shop cuts a 4-yard length of trim. How many inches of trim is that?

  5. 5.A trail mix uses 3 cups of almonds for every 5 cups of raisins. How many cups of almonds go with 20 cups of raisins?

  6. 6.A cyclist covers 48 miles in 3 hours at a steady speed. What is that speed in miles per hour?

  7. 7.Harbor Middle has 240 students, and 15% of them ride the city bus. How many students ride the bus?

  8. 8.A seedling measured 20 inches. A month later it measured 25 inches. What was the percent increase in height?

  9. 9.A laptop price falls from $640 to $480. What is the percent decrease?

  10. 10.Five quiz scores are 3, 9, 4, 7, and 11. What is the median?

  11. 11.The high temperatures, in degrees Fahrenheit, on five days were 62, 71, 58, 66, and 74. What is the range?

  12. 12.A spinner is divided into 8 equal sections. Five sections are blue and three are yellow. What is the probability of landing on yellow?

  13. 13.A farmer inspects 40 tomato plants from a field of 800 and finds blight on 10 of them. If that sample represents the field, about how many of the 800 plants have blight?

  14. 14.A 12-ounce bottle of juice costs $3.60. What is the price per ounce?

  15. 15.A glaze is mixed from 2 parts blue pigment and 3 parts white base. What fraction of the glaze is blue pigment?

  16. 16.Five matching notebooks cost $12.50 altogether. At that same price for each notebook, what do 8 notebooks cost?

  17. 17.A museum ticket costs $40. The museum raises that price by 15%. What is the new price?

  18. 18.A lamp is discounted 20%. A coupon then takes 10% off the discounted price. The final price is what percent of the original price?

  19. 19.The mean of five numbers is 12. Four of the numbers are 8, 10, 14, and 15. What is the fifth number?

  20. 20.A bookstore log shows 18 books sold on Monday, 24 on Tuesday, 15 on Wednesday, and 21 on Thursday. How many more books were sold on Tuesday than on Wednesday?

  21. 21.A scatterplot shows hours of clarinet practice on the x-axis and recital scores on the y-axis. The points rise from left to right and stay close to a straight line. Which description fits the plot?

  22. 22.A lakeside path is 2.5 kilometers long. How many meters is that? Use 1,000 meters in a kilometer.

  23. 23.The forecast says the probability of rain tomorrow is 0.35. What is the probability that it does not rain?

  24. 24.A printer finishes 90 pages in 6 minutes at a steady pace. How many pages does it print per minute?

  25. 25.Two clubs split $180 in the ratio 2:3. The second club receives the larger share. How many dollars does that larger share equal?

  26. 26.Four lap times, in seconds, are 14, 6, 19, and 11. What is the median?

  27. 27.A beekeeper sets aside 8% of a 250-pound honey harvest for a winter market. How many pounds are set aside?

  28. 28.In a random sample of 50 fish from a lake, 12 are trout. Which is the best estimate of the percent of fish in the lake that are trout?

  29. 29.A wall shelf is 5 feet long. How many inches long is the shelf?

  30. 30.A regional train covers 210 miles in 3.5 hours. What is its average speed in miles per hour?

  31. 31.A breakfast survey drew 80 responses, and 32 people chose the morning shift. What percent of the responses chose the morning shift?

  32. 32.A salad dressing for 4 servings uses 6 tablespoons of olive oil. How many tablespoons of oil are needed for 10 servings at the same rate?

  33. 33.The values 5, 8, 8, 9, and 15 are recorded. What is the mean?

  34. 34.A jar has 4 green beads, 5 white beads, and 6 black beads. One bead is drawn at random. What is the probability that it is green or white?

  35. 35.A sack of birdseed weighs 3.5 pounds. How many ounces is that? Use 16 ounces in a pound.

  36. 36.A town's population grows from 8,000 to 8,400. What is the percent increase?

  37. 37.A club roster lists 18 members in art, 12 in music, and 20 in drama. What percent of the members are in music?

  38. 38.Store A sells 8 apples for $6. Store B sells 12 apples for $9. Which statement about the price per apple is true?

  39. 39.A scatterplot of car age and resale price slopes downward overall. One point, a 2-year-old car, lies far below the other prices. Which description of that point is best?

  40. 40.A random sample estimates that 62% of voters support a park plan, with a margin of error of 4 percentage points. Which interval matches that estimate and margin of error?

  41. 41.At a shelter, the ratio of dogs to cats is 5:2. There are 15 dogs. How many cats are there?

  42. 42.A garden hose pours 18 gallons in 4 minutes at a steady rate. How many gallons does it pour in 10 minutes?

  43. 43.A shirt priced at $50 is marked 30% off. What is the sale price?

  44. 44.Six students reported books read over break: two students read 3, three students read 5, and one student read 9. What is the mean number of books read?

  45. 45.A fair coin is tossed twice. What is the probability that both tosses land heads?

  46. 46.A parade route is 0.25 mile long. How many feet is that? Use 5,280 feet in a mile.

  47. 47.A mural uses 200 tiles, and 46 of them are glass. What percent of the tiles are glass?

  48. 48.Miles walked on five days were 4, 11, 6, 15, and 8. What is the range?

  49. 49.Of 30 birds in a random sample, 9 are sparrows. What percent of the sample is sparrows?

  50. 50.A soup recipe calls for 7 quarts of broth. How many gallons is that? Use 4 quarts in a gallon.

  51. 51.On a trail map, 1 inch represents 8 miles. Two shelters are 3.5 inches apart on the map. How many miles apart are the shelters?

  52. 52.A ceramic mug goes from $18 to $27. What is the percent increase in price?

  53. 53.Five donations, in dollars, are 15, 25, 40, 40, and 90. What is the median?

  54. 54.A class has 10 boys and 15 girls. Of them, 4 boys and 6 girls play soccer. One student is chosen at random. What is the probability that the student plays soccer?

  55. 55.A window banner is 2.5 feet long. How many inches long is it?

  56. 56.A bottling line fills 240 bottles in 8 minutes at a steady rate. How many bottles does it fill in 3 minutes?

  57. 57.Of 250 auditorium seats, 40% are held for members. Of those held seats, 30% are on the aisle. How many held seats are on the aisle?

  58. 58.A fitted line uses temperature in degrees Fahrenheit as x and bowls of soup sold as y. The slope is 3. What does the slope mean here?

  59. 59.Four quiz scores are 70, 80, 90, and 100. What is the mean?

  60. 60.A fair number cube has faces numbered 1 through 6. It is rolled once. What is the probability of rolling a number greater than 4?

  61. 61.A punch is cranberry juice and apple juice in the ratio 1:4. A bowl holds 15 cups of the punch. How many of those cups are cranberry juice?

  62. 62.Concert attendance falls from 200 people to 170 people. What is the percent decrease?

  63. 63.During a practice run, Ana ran 3 miles in 24 minutes, Ben ran 5 miles in 50 minutes, and Cara ran 2 miles in 14 minutes. Who had the greatest average speed?

  64. 64.A jump rope is 450 centimeters long. How many meters is that? Use 100 centimeters in a meter.

  65. 65.Class A has 20 students and a mean score of 75. Class B has 30 students and a mean score of 85. What is the mean score of all 50 students together?

  66. 66.The variables x and y are proportional, and the graph passes through (0, 0) and (4, 10). What is the value of y when x = 10?

  67. 67.A principal wants a simple random sample of 30 students from a school of 900. Which method gives that kind of sample?

  68. 68.An hourly wage of $64 increases by 12.5%. What is the new hourly wage?

  69. 69.A data set is 18, 22, 22, 31, and 15. What is the range?

  70. 70.A box holds 5 red tiles, 3 blue tiles, and 2 green tiles. One tile is drawn at random. What is the probability that it is not green?

  71. 71.A 16-ounce box of cereal costs $4.80. A 24-ounce box of the same cereal costs $6.00. How much less per ounce is the larger box?

  72. 72.After a 20% raise, weekly pay is $2,400. What was the weekly pay before the raise?

  73. 73.In a survey, 12 ninth graders are in band and 18 are not. Among tenth graders, 16 are in band and 14 are not. What percent of the ninth graders are in band?

  74. 74.A scatterplot compares hours of video streaming per day with hours of sleep. The points slope downward and show a moderate spread. Which statement does that pattern support?

  75. 75.A bolt of fabric is 9 yards long. How many feet is that? Use 3 feet in a yard.

  76. 76.Weekly amounts saved, in dollars, are 20, 35, 15, and 30. What is the mean amount saved?

  77. 77.Six tiles spell PLANET. One tile is drawn at random. What is the probability that the letter is a vowel?

  78. 78.A tour bus travels at an average speed of 54 miles per hour for 2.5 hours. How many miles does it travel?

  79. 79.A kettle costs $75 before tax. Sales tax is 6% of that price. How many dollars is the tax?

  80. 80.A random sample of 200 trees finds oak wilt on 46 of them. Which value best estimates the proportion of trees in the forest with oak wilt?

  81. 81.A baker keeps flour and sugar in the ratio 5:2. The baker uses 3 cups of sugar. How many cups of flour are used?

  82. 82.Six commute times, in minutes, are 12, 7, 15, 9, 20, and 11. What is the median?

  83. 83.A share price falls from $80 to $64. What is the percent decrease?

  84. 84.In a proportional relationship, y = 18 when x = 6. What is the constant of proportionality, the value of y/x?

  85. 85.A quiz summary lists 28 students who studied and passed, 4 who studied and failed, 10 who did not study and passed, and 8 who did not study and failed. One of these students is chosen at random. What is the probability that the student studied and passed?

  86. 86.A documentary runs for 250 minutes. What is that length in hours and minutes?

  87. 87.At a tasting, 64% of 125 people chose tea. How many people chose tea?

  88. 88.A line on a scatterplot predicts a free-throw success rate of about 70% after 6 weeks of training and about 78% after 10 weeks. By about how many percentage points does the line rise between those two times?

  89. 89.Car A travels 280 miles on 10 gallons. Car B travels 240 miles on 8 gallons. How many more miles per gallon does the more efficient car get?

  90. 90.The mean of 6, 9, 11, and n is 10. What is n?

  91. 91.A spinner has 4 equal sections. Exactly one section is red and exactly one is blue. The spinner is spun twice. What is the probability of red on the first spin and blue on the second?

  92. 92.Three notebooks cost $4 each. A coupon takes 25% off the whole bill. How much is paid after the coupon?

  93. 93.Rainfall, in inches, over four days was 0.4, 1.2, 0.0, and 0.8. What was the total rainfall?

  94. 94.The ratio of red pens to blue pens in a drawer is 7:3. There are 28 red pens. How many pens are in the drawer altogether?

  95. 95.About 18% of the 2,500 people in Millford volunteer at the library. About how many people is that?

  96. 96.Set P is 10, 10, 10, and 10. Set Q is 2, 8, 12, and 18. Both sets have the same mean. Which statement about the range is correct?

  97. 97.In an 80-seat recital room, 12 seats are saved for ushers. What percent of the seats is that?

  98. 98.A parcel weighs 3 pounds 4 ounces. How many ounces is that altogether? Use 16 ounces in a pound.

  99. 99.A pump empties 1,800 gallons from a pool in 45 minutes at a steady rate. How many gallons does it empty per minute?

  100. 100.A playlist has 5 jazz songs, 7 pop songs, and 8 rock songs. One song plays at random. What is the probability that it is pop or rock?

  101. 101.A scatterplot of shoe size and vocabulary-quiz score looks like a formless cloud, with no upward or downward tilt. Which conclusion fits?

  102. 102.A fare increases by 10%, and then that new fare increases by 10% again. The final fare is what percent of the original fare?

  103. 103.Four sale prices, in dollars, are 8, 22, 13, and 13. What is the median?

  104. 104.Inspectors check 25 cans from a shipment of 1,000 and find 2 with dents. If the sample represents the shipment, about how many of the 1,000 cans are dented?

  105. 105.A garden fertilizer is 4 parts nitrogen, 1 part phosphorus, and 3 parts potassium. What fraction of the mix is phosphorus?

  106. 106.Staff receive 15% off the shelf price, and a manager then receives an extra 20% off the staff price. A manager buys an item with a $100 shelf price. What does the manager pay?

  107. 107.A stage crew schedules 3.25 days for a build, with 8 working hours in each day. How many working hours is that?

  108. 108.Four afternoon temperatures, in degrees Fahrenheit, are 71, 68, 74, and 77. What is the mean?