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California Assessment of Student Performance and Progress Mathematics Grade 6

One hundred eight questions on ratios, percents, integers, and expressions.

These questions are original. This is not an official California Assessment of Student Performance and Progress test, and FreeExam is not affiliated with the California Department of Education.

  1. 1.A family drives 180 miles from Sacramento toward Lake Tahoe in 3 hours at a steady pace. What is the unit rate in miles per hour?

  2. 2.At a farm stand outside Fresno, 5 pounds of almonds sell for 15 dollars. What is the price of 1 pound?

  3. 3.On a Central Valley road map, 2 centimeters stand for 50 kilometers of highway. How many kilometers does 1 centimeter stand for?

  4. 4.A blender near Venice Beach holds 3 cups of orange juice and 5 cups of mango juice. What is the ratio of orange juice to mango juice?

  5. 5.Hikers on a John Muir Trail stretch finish 12 cups of water during 4 hours. How many cups do they drink each hour?

  6. 6.Mural painters in Oakland use 8 cans of paint to cover 2 walls of the same size. How many cans does one of those walls take?

  7. 7.Ferry tickets from San Francisco to Alcatraz are sold 4 adults for every 1 child. If 12 adults board at that same ratio, how many children board?

  8. 8.A mechanic's log in Davis shows 18 inner tubes replaced from Monday through Saturday, six days in all. What daily rate matches that log?

  9. 9.A kettle in a Napa kitchen uses 2 cups of broth for every 6 cups of vegetables. Which ratio of broth to vegetables is equivalent to 2 to 6?

  10. 10.A gardener in Pasadena sets 5 tulips for every 4 irises. The bed she just finished has 20 tulips. How many irises are in that bed?

  11. 11.Along a Big Sur switchback, a hiker covers 9 miles in 1.5 hours. What speed, in miles per hour, matches that trip?

  12. 12.A Stockton market sells strawberry baskets at 4 baskets for 12 dollars. At that same rate, what is the cost of 7 baskets?

  13. 13.For every 3 laps a swimmer finishes in a Santa Barbara pool, the coach schedules 2 minutes of rest. How many rest minutes go with 12 laps?

  14. 14.Nine minutes after it leaves the valley floor, a Yosemite tram is 450 feet higher. What unit rate, in feet per minute, describes the climb?

  15. 15.A field guide at a bookstore in Berkeley costs 80 dollars. What is 20 percent of 80?

  16. 16.Of 60 visitor stickers printed for a museum in Los Angeles, 15 percent are blue. How many stickers are blue?

  17. 17.Volunteers count 48 sea stars in a La Jolla tide pool, and 25 percent of them are orange. How many sea stars are orange?

  18. 18.On a school-tour morning, 250 visitors enter the capitol in Sacramento, and 10 percent of them are sixth graders. How many sixth graders enter?

  19. 19.A packing shed in Modesto has 86 almond crates, and 50 percent of them ship before noon. How many crates ship before noon?

  20. 20.Students in Irvine collected 30 cans, and 6 of those cans were crushed. What percent of the cans were crushed?

  21. 21.A household in Bakersfield set aside 200 gallons during a dry week and used 5 percent of that water on garden plants. How many gallons went to the plants?

  22. 22.A jacket on a rack in Santa Monica is priced at 40 dollars, and the tag takes 30 percent off that price. How many dollars does the discount remove?

  23. 23.A nursery in Humboldt County starts 16 redwood seedlings, and 75 percent of them survive the first month. How many seedlings survive?

  24. 24.Researchers near the Channel Islands count 900 harbor seals, and 1 percent of them are pups on one rock. How many pups are on that rock?

  25. 25.A pizza counter in San Jose logs 35 lunch orders, and 40 percent of them include basil. How many of the orders include basil?

  26. 26.A rental hut in Huntington Beach owns 15 surfboards. What is 200 percent of that number of boards?

  27. 27.On a trail in Sequoia National Park, 12 of 40 hikers turned back at the creek. What percent of the hikers turned back?

  28. 28.A school fair in Palo Alto collects 50 dollars, and 8 percent of the money is set aside for poster paper. How many dollars go to poster paper?

  29. 29.A chocolatier in Santa Cruz has 3/4 of a pound of chocolate and divides it into portions of 1/8 pound. How many portions does that make?

  30. 30.A baker in Sonoma splits 1/2 pound of butter into pats that each weigh 1/4 pound. How many pats is that?

  31. 31.A dockhand in Sausalito cuts 2/3 of a meter of rope into pieces that are each 1/6 of a meter long. How many pieces does the rope make?

  32. 32.A costume shop in Malibu divides 5/6 of a yard of fabric into lengths of 1/3 yard. What is 5/6 divided by 1/3?

  33. 33.Ribbon measuring 7/8 of a meter is separated into lengths of 1/2 meter at a shop in Laguna Beach. What is 7/8 divided by 1/2?

  34. 34.After a Fresno mural, 1/5 gallon of glaze remains, and each jar holds 2/5 gallon. What is 1/5 divided by 2/5?

  35. 35.A diner in Ojai mixes 9/10 of a liter of orange juice and portions it into glasses of 3/10 of a liter. How many glasses does that fill?

  36. 36.A community garden in Riverside shares 4/5 of a bag of soil equally between 2 planters. What fraction of a bag does each planter get?

  37. 37.A beekeeper in Julian has 3/2 cups of honey and fills jars that each hold 3/4 cup. How many jars can be filled?

  38. 38.Trail mix packed in Bishop measures 2 cups, and each hiker snack uses 1/3 cup. How many snacks can be packed?

  39. 39.An electrician in Needles has 11/12 of a spool of wire and cuts pieces that are each 1/6 of a spool. What is 11/12 divided by 1/6?

  40. 40.A pantry in Petaluma has 2/9 pound of oats in a small jar and 4/9 pound in a large jar. What is the small amount divided by the large amount?

  41. 41.At dawn in Truckee the thermometer read -8 degrees, then the temperature rose 15 degrees by noon. What was the noon temperature?

  42. 42.A diver off Catalina Island is at -18 feet and then goes 7 feet deeper. What is the new position?

  43. 43.A scoreboard in Sacramento shows a lead of 14 points. What is the opposite of 14?

  44. 44.A trail log in Death Valley records a change of -6 meters followed by another change of -9 meters. What is the combined change?

  45. 45.The tide staff at Half Moon Bay starts at 4 feet and then the water falls 11 feet. Where is the water level after that fall?

  46. 46.A mountain station in the Sierra records a temperature change of -3 degrees each hour for 5 hours. What is the total change?

  47. 47.A research boat near Monterey divides a depth change of -20 meters evenly across 4 equal stages. What is the change for one stage?

  48. 48.During a number-line lesson in Fresno, students compute the product (-2) × (-8). What is that product?

  49. 49.Two overnight lows in South Lake Tahoe were -3 degrees and -9 degrees. Which temperature is greater?

  50. 50.An account balance in Oakland changes by the calculation -12 − (-5). What is the result?

  51. 51.A chess club in Berkeley records a gain of 4 points and then a change of -4 points. What is the sum 4 + (-4)?

  52. 52.A classroom in Redding lists morning temperatures of -5, 2, -1, and 0 degrees. Which list puts them in order from least to greatest?

  53. 53.A student club in Chico has 18 dollars and then spends 25 dollars. What is the new balance?

  54. 54.A crane log at the port of Long Beach shows the quotient (-36) ÷ (-6). What is that quotient?

  55. 55.The overnight low at a cabin in Mammoth Lakes is -7 degrees. What is the absolute value of -7?

  56. 56.A station in Ventura computes |-4| + |3| while checking two wind-shift readings. What is that sum?

  57. 57.Which number has the greater absolute value, -15 or 8, on a thermometer card from Bishop?

  58. 58.On a number line in a San Luis Obispo classroom, one dot sits at -2 and another sits at 5. How many units apart are the dots?

  59. 59.In a classroom model in San Diego, a submarine is at -30 feet and a drone is at 18 feet. Which object is farther from sea level, where sea level is 0?

  60. 60.A packing crew in Salinas uses the expression 4n + 1 for the number of labels it prints. What is the value when n = 6?

  61. 61.A harbor ferry in San Pedro charges 3 dollars for each passenger and a 10-dollar dock fee. Which expression gives the cost for p passengers?

  62. 62.A formula for loaded crates in Watsonville is 2(x − 5). What is the value when x = 9?

  63. 63.A grower in Ventura County describes a lemon count as 6 less than twice the number of trees, y. Which expression matches that description?

  64. 64.A bike-share note in West Hollywood uses the expression 5k + 3 + 2k. Which expression combines the like terms?

  65. 65.An expression on a whiteboard in Arcata is m/4. What is its value when m = -12?

  66. 66.A stationery shop in Carmel already has 8 postcards packed and then adds 2 postcards for each box b. How many postcards is 8 + 2b when b = 7?

  67. 67.A student in Eureka rewrites 3(n + 4). Which expression is equivalent?

  68. 68.The expression 10 − 3t gives a temperature drop tracked in Barstow. What is the value when t = 4?

  69. 69.A postcard equation from a shop in San Diego is 3x + 5 = 26. What is the value of x?

  70. 70.A cable-car count in San Francisco fits the equation x + 9 = 21. What is x?

  71. 71.Solve n − 6 = 14 for the number of glass floats a shop in Avalon still needs to unpack.

  72. 72.A vineyard tally in Lodi uses 5y = 45. What is y?

  73. 73.A coastal cleanup in Mendocino uses the equation p/3 = 8. What is p?

  74. 74.A gauge near the Salton Sea satisfies x + (-4) = 7. What is x?

  75. 75.A kayak count in Morro Bay fits 2x + 1 = 15. What is x?

  76. 76.A grain scale in Delano satisfies 18 = 6k. What is k?

  77. 77.Solve 4x = -28 for a temperature model used near Mono Lake.

  78. 78.A fog sensor near the Golden Gate records the inequality -4m > 12. Which solution describes m?

  79. 79.A ticket window in Anaheim uses the inequality x + 4 > 10. Which solution describes x?

  80. 80.A ranger count in Kings Canyon fits 3n ≤ 18. Which solution describes n?

  81. 81.A cold-night model in Bridgeport uses -2y < 8. Which solution describes y?

  82. 82.A reservoir reading near Oroville satisfies y − 7 ≥ -2. Which solution describes y?

  83. 83.A trail quota in Point Reyes uses p/4 < 3. Which solution describes p?

  84. 84.Solve -5x ≥ 20 for a budget inequality used by a club in Pomona. Which solution describes x?

  85. 85.Which number is a solution of t + 3 ≤ 8, an inequality from a seating chart in Santa Cruz?

  86. 86.A trail marker in Joshua Tree is a triangle with base 10 inches and height 6 inches. What is its area?

  87. 87.A sign in Pacific Grove is a parallelogram with base 8 centimeters and height 5 centimeters. What is its area?

  88. 88.A window in Solvang is a triangle with base 14 inches and height 4 inches. What is its area?

  89. 89.A parallelogram painted on a sidewalk in Cambria has area 36 square feet and base 9 feet. What is the height?

  90. 90.A triangular pane in a Los Olivos shop has area 24 square inches and base 8 inches. What is the height?

  91. 91.A garden bed in St. Helena is a parallelogram with base 12 meters and height 7 meters. What is its area?

  92. 92.A small sail measured in Marina del Rey is a triangle with base 9 feet and height 8 feet. What is its area?

  93. 93.A student finds the area of a parallelogram with base 11 meters and height 3 meters by computing one half of 11 times 3, which is 16.5. What is the correct area in square meters?

  94. 94.A surf check in Santa Cruz recorded the counts 4, 9, 2, 9, and 6. What is the median?

  95. 95.A lifeguard in Newport Beach records 3, 7, and 8 rescues on three days. What is the mean?

  96. 96.The ages of three volunteers at a library in Sacramento are 8, 1, and 5. What is the median age?

  97. 97.Four temperature checks in Palm Springs read 10, 10, 4, and 8 degrees. What is the mean?

  98. 98.A docent in San Juan Capistrano lists tour sizes of 12, 3, 7, and 9. What is the median?

  99. 99.Quiz scores in a classroom in Woodland were 2, 4, and 6. The score of 4 is changed to 9. What is the new median?

  100. 100.Five tide readings at a pier in Crescent City are 1, 2, 3, 4, and 10. What is the mean?

  101. 101.A map grid for downtown San Jose places a library at (3, -2). In which quadrant is that point?

  102. 102.On a coordinate grid of a park in Oakland, a fountain is plotted at (-4, 5). In which quadrant is the fountain?

  103. 103.A campsite map in Anza-Borrego uses the point (-6, -1) for a trailhead. In which quadrant does that point lie?

  104. 104.From a fire lookout plotted on a Santa Monica Mountains grid, a peak sits at (2, 7). Which quadrant contains (2, 7)?

  105. 105.A lighthouse plot at (4, -3) is reflected across the x-axis on a coastal grid near Pigeon Point. What are the coordinates of the reflection?

  106. 106.On a city grid in Sacramento, one stop is at (-2, 5) and another stop is at (-2, -1). How many units apart are the stops?

  107. 107.Which point lies in quadrant III on a grid of mission grounds in San Juan Bautista?

  108. 108.Starting at the origin on a map of Old Town in San Diego, a student moves 5 units right and 3 units down. What are the coordinates of the ending point?