FreeExam

California Assessment of Student Performance and Progress Mathematics Grade 5

One hundred eight questions on fractions, decimals, volume, and order of operations.

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 baker in Solvang stirs 1/2 cup of rye flour into 1/3 cup of barley flour for cardamom dough. How many cups of flour is that altogether?

  2. 2.At a rest stop on the John Muir Trail, hikers finish 3/4 pound of dried apricots and then 1/6 pound of almonds. How many pounds do they eat in all?

  3. 3.Painters finishing a mural in San Francisco's Mission District pour 5/8 gallon of turquoise and 1/4 gallon of gold. How much paint is used together?

  4. 4.Kayakers on Tomales Bay paddle 2/3 mile along the shore and then 1/5 mile across a cove. How long is the whole route?

  5. 5.By midafternoon a Julian bakery still has 7/8 of an apple pie. Visitors buy an amount equal to 1/2 of a whole pie, taken from what is left. What fraction of a pie remains?

  6. 6.A cutter in the Los Angeles Fashion District has 5/6 yard of silk and uses 1/3 yard for a collar. How much silk is left?

  7. 7.Repair work on the Santa Cruz wharf joins a 3/10-meter oak strip to a 2/5-meter strip. What is the combined length?

  8. 8.A beekeeper outside Davis bottles 3/5 gallon from the orchard hive and 1/4 gallon from the garden hive. How many gallons is that?

  9. 9.An Oakland community garden opens a seed packet that is 11/12 full. Volunteers plant an amount equal to 2/3 of a packet. What fraction of a packet is left?

  10. 10.At a juice counter in Venice, a blend uses 1/3 cup of mango puree and 3/8 cup of pineapple juice. How many cups are in the blend?

  11. 11.A skiff leaving Channel Islands Harbor starts with 7/10 of a tank and burns 1/2 of a tank before the pier. What fraction of a tank remains?

  12. 12.On the trail toward the General Sherman tree, a canteen started with 4/5 liter. At the next switchback, 1/2 liter was still inside. How much had been drunk?

  13. 13.A kitchen remodel in Sierra Madre uses 1/6 box of cobalt tile and 3/4 box of white tile. How many boxes are used in all?

  14. 14.Cleanup crews on a Santa Barbara beach bag 7/8 ton of debris, then send 1/4 ton of it to recycling. How many tons stay in the bags?

  15. 15.For a seated dinner in Napa, a caterer needs 2/3 of a 12-cup pot of vegetable broth. How many cups is that?

  16. 16.Decorators in Pasadena cut a banner that stretches 3/5 of the way along a 15-foot railing. How many feet long is the banner?

  17. 17.A grower near Fresno reserves 4/5 of 40 orchard rows for almonds. How many rows are reserved?

  18. 18.On a morning ferry out of Larkspur, 3/8 of the 64 passenger seats are held as reservations. How many seats are reserved?

  19. 19.Shade covers 1/2 of a section that is itself 3/4 of a Palm Springs courtyard. What fraction of the courtyard is shaded?

  20. 20.A designer in Brentwood uses 2/3 of a 5/6-yard linen remnant for a cuff. How many yards are used?

  21. 21.Before noon, a nursery in Encinitas sells 5/6 of its 18 succulent trays. How many trays are sold?

  22. 22.A house in Eureka has a window of 21 square feet, and film covers 3/7 of it. How many square feet does the film cover?

  23. 23.A North Beach baker feeds a starter with 2/5 of the 3/4 liter of water in a measuring cup. How many liters of water are used?

  24. 24.Friends in San Diego's Little Italy eat 1/3 of the 3/5 of a pizza that was left after lunch. What fraction of the whole pizza do they eat?

  25. 25.Crews in Golden Gate Park gravel 4/9 of a path segment that is 3/8 mile long. How long is the graveled part?

  26. 26.On Saturday, a stand in Ojai sells 3/4 of 28 bags of lemons. How many bags are sold?

  27. 27.At a Healdsburg market, a customer takes 0.5 of a 0.6-pound cheese wedge. How many pounds does the customer take, written through hundredths?

  28. 28.A marine lab in Moss Landing divides 3.6 liters of seawater into samples of 0.6 liter each. How many samples does that make?

  29. 29.A kelp blade measured off La Jolla is 1.25 meters long. A student records 0.4 of that length. How many meters is the recorded piece, through hundredths?

  30. 30.Each rental scooter at Santa Monica Pier uses 0.35 gallon of fuel. How much fuel do 6 scooters use, written through hundredths?

  31. 31.A grocer in Kingsburg fills a basket with 0.8 kilogram of plums, and a customer buys 0.25 of the basket. How many kilograms is that purchase, through hundredths?

  32. 32.A technician in Sunnyvale cuts 4.8 meters of network cable into pieces that are each 0.8 meter long. How many pieces is that?

  33. 33.Monday's rainfall in Eureka was 0.45 inch. Tuesday's rainfall was 0.2 times Monday's amount. How many inches fell on Tuesday?

  34. 34.Each box of harbor tile in a San Pedro warehouse weighs 1.6 kilograms. What is the weight of 15 boxes?

  35. 35.A bottling line in Modesto splits 7.2 liters of peach juice into bottles that each hold 0.4 liter. How many bottles are filled?

  36. 36.A zine shop in Oakland's Temescal neighborhood prices a poster at $2.45. What is the cost of 3 posters?

  37. 37.A shop in Carmel cuts ribbon in lengths of 0.55 meter. What is the total length of 8 lengths, written through hundredths?

  38. 38.Aquarium staff in Monterey portion 2.5 kilograms of aquarium salt into packets of 0.25 kilogram. How many packets do they fill?

  39. 39.A lumberyard in Redding sells boards that are 2.75 meters long. What is the combined length of 6 boards, written through hundredths?

  40. 40.A nursery in Woodland divides 4.5 pounds of wildflower seed into bags of 0.15 pound. How many bags is that?

  41. 41.A driver pays a $7.00 Bay Bridge toll and then $2.35 to park near the Embarcadero. What is the combined cost?

  42. 42.At a Ferry Building stall, a wedge of cheese costs $6.48 and a loaf costs $3.75. What is the total?

  43. 43.A visitor at Balboa Park pays with a $20.00 bill for a $13.67 ticket. How much change is due?

  44. 44.The afternoon high at Furnace Creek was 41.80 degrees Celsius, and the morning reading was 28.45 degrees Celsius. What is the difference?

  45. 45.A shopper in Stockton spends $8.90, then returns an item priced at $2.15. How many dollars were spent after the return?

  46. 46.Two notebooks at a campus store in Irvine cost $3.29 and $4.86. What is their combined price?

  47. 47.At the Port of Long Beach, 24 crates are stacked on each of 36 pallets. How many crates is that?

  48. 48.A theater in Sacramento has 18 rows with 45 seats in each row. How many seats are in the theater?

  49. 49.A mason in San Luis Obispo sets 27 tiles in each of 14 rows on a courtyard wall. How many tiles are set?

  50. 50.For a science fair, 32 buses leave Visalia, and each bus carries 48 students. How many students ride?

  51. 51.A printer in Emeryville runs 125 copies of a booklet that has 16 pages. How many pages are printed?

  52. 52.An orchard near Reedley has 46 rows with 23 trees in each row. How many trees are in the orchard?

  53. 53.A stationer in San Francisco's Chinatown packs 64 envelopes with 15 stickers in each. How many stickers are packed?

  54. 54.An apartment block in Marina del Rey has 19 floors, and each floor has 28 windows facing the marina. How many marina-facing windows is that?

  55. 55.A mail carrier in Alameda walks 37 miles on each of 15 delivery days. How many miles is that?

  56. 56.A dairy in Petaluma fills 125 bottles in each of 8 crates. How many bottles are filled?

  57. 57.A box office in San Diego has 936 programs to split evenly among 12 ushers. How many programs does each usher get?

  58. 58.Workers in Watsonville pack 864 apples into cartons that hold 24 apples each. How many cartons do they fill?

  59. 59.A bindery in San Leandro gathers 1,260 pages into books of 28 pages each. How many books is that?

  60. 60.At a rally on the Capitol Mall in Sacramento, 1,155 students form equal groups of 15. How many groups are there?

  61. 61.Technicians in San Jose cut 2,016 meters of fiber into 32-meter lengths. How many lengths do they get?

  62. 62.Students in Morro Bay sort 728 shells into trays of 14 shells. How many trays do they fill?

  63. 63.A bakery in Los Olivos packs 945 cookies into tins that hold 35 cookies each. How many tins are filled?

  64. 64.Bricklayers at a school rebuild in Glendale stack 1,512 bricks with 36 bricks in each layer. How many layers is that?

  65. 65.A donation drive in Clovis bundles 1,008 pencils with 18 pencils in each bundle. How many bundles are made?

  66. 66.A shop in Mendocino winds 1,326 meters of yarn into skeins of 26 meters. How many skeins is that?

  67. 67.During a night program at Griffith Observatory, a guide writes 10 to the third power. What is that value?

  68. 68.A model card at the California State Railroad Museum compares a weight with 10 to the fourth power. What is 10 to the fourth power?

  69. 69.A seating chart for a stadium in Pasadena marks one section as 6 times 10 to the second power. What is that number of seats?

  70. 70.A researcher in Livermore writes the measurement 4.7 times 10 to the third power. What is that number in standard form?

  71. 71.A visitor table at the California State Capitol lists 53,000 people. What is 53,000 divided by 10 to the second power?

  72. 72.Sections of the Redondo Beach pier are counted by 8 times 10 to the first power. What is that count?

  73. 73.A coin note at Sutter's Fort says that one hundredth of a dollar is 1 divided by 10 to the second power. What is that amount in dollars?

  74. 74.A shipping crate at the Port of Oakland is a rectangular prism 4 units long, 3 units wide, and 2 units high. What is its volume?

  75. 75.A food cooler cached in Yosemite Valley is a rectangular prism 5 feet long, 2 feet wide, and 3 feet high. What is its volume?

  76. 76.A storage bin at a Lake Tahoe marina is a rectangular prism 8 units long, 4 units wide, and 2 units high. What is the volume of the bin?

  77. 77.A planter box beside Shasta Dam is a rectangular prism 6 feet long, 3 feet wide, and 2 feet high. What is the volume of the box?

  78. 78.A specimen box packed for a Catalina Island camp is a rectangular prism 10 centimeters long, 5 centimeters wide, and 4 centimeters high. What is its volume?

  79. 79.A trailside storage box near Lone Pine is a rectangular prism 9 feet long, 2 feet wide, and 3 feet high. What is its volume?

  80. 80.A beach locker in Avila is a rectangular prism 7 units long, 3 units wide, and 3 units high. What is the volume?

  81. 81.A rectangular water tank in Needles is 12 units long, 5 units wide, and 2 units high. What is the volume?

  82. 82.On a first-quadrant map of Joshua Tree, a campsite is plotted at the point (3, 5). How is that point located from the origin?

  83. 83.On a first-quadrant grid of Angel Island, a picnic site is 4 units right and 2 units up from the origin. Which ordered pair names the site?

  84. 84.A well on a Turlock farm grid is plotted at (6, 1) in the first quadrant. Which description matches that point?

  85. 85.On a first-quadrant chart of San Diego Bay, two buoys sit at (2, 5) and (7, 5). How many units apart are they horizontally?

  86. 86.On a coordinate grid of a campground near Bishop, the ranger station is on the vertical axis, 4 units above the origin. Which ordered pair names it?

  87. 87.A hiker on a Point Reyes map starts at (1, 2) and walks 3 units right and 4 units up. At which point does the hiker stop?

  88. 88.On a first-quadrant grid of stalls at Alemany Farmers' Market, one stall is at (8, 1) and another is at (3, 9). Which point is farther to the right?

  89. 89.Above Crissy Field, one kite is plotted at (5, 2) and another at (5, 8). How many units apart are the kites vertically?

  90. 90.A scoreboard operator at a Sacramento ballpark evaluates 2 + 3 × 4. What is the value?

  91. 91.A clerk at a bookstore in Berkeley evaluates (8 - 3) × 5. What is the value?

  92. 92.A referee at a youth tournament in Winters evaluates 20 - 12 ÷ 3. What is the value?

  93. 93.A florist at a Pacific Grove flower stall evaluates 6 × 2 + 4 × 3 while counting stems. What is the value?

  94. 94.Scorekeepers in a Lodi gym evaluate (9 + 7) ÷ 4. What is the value?

  95. 95.A lifeguard tower log in Malibu shows the expression 5 + 4 × 2 - 3. What is its value?

  96. 96.A lab notebook in Goleta shows 18 ÷ 3 × 2. What is the value?

  97. 97.A harbor clerk in Ventura evaluates 4 × (6 - 2) + 5. What is the value?

  98. 98.A ferry leaves Sausalito at 1:40 and docks in San Francisco at 2:25. How many minutes is the crossing?

  99. 99.Replacement planks for a Muir Woods footbridge are sold by the centimeter. The span they must cover is 3 meters. What is that span in centimeters?

  100. 100.Before the start horn, a Lake Tahoe swim guide rewrites a 2-kilometer lane in meters. What length should the guide announce?

  101. 101.A cellar log in Napa will not accept liters. A 5-liter tank sample has to be entered in milliliters. Which number belongs on the log?

  102. 102.A scale near the Golden Gate shows 4 kilograms for a cable sample. The inspection sheet wants grams. What mass should be written?

  103. 103.City forms for Pismo Beach list walkway lengths in feet. This walkway was measured as 6 yards. What length goes on the form?

  104. 104.Painter's tape near Big Sur is marked in inches, and the trail sign to be edged is 4 feet wide. How many inches wide is the sign?

  105. 105.The Salinas harvest clock is punched in hours, but the payroll sheet wants minutes. A shift lasts 3 hours. What should payroll record?

  106. 106.Field cards at Crescent City use millimeters. A shell spans 8 centimeters. What measurement goes on the card?

  107. 107.Campers at Folsom Lake pour from a cooler labeled 6 quarts and count the water by the pint. How many pints can they pour?

  108. 108.A tide-pool walk in Laguna Beach starts at 9:15 a.m. and ends at 11:00 a.m. How many minutes long is the walk?