Directions
Solve each problem carefully. Calculators are not permitted. For written-response items, show your steps and explain your reasoning using complete sentences.
This is an original practice resource for Grade 5 Math, calibrated to SBA Claim 1 priority targets (1A-1K). It is not an official SBA test.
Test 1: Decimal Operations
Operations41. What is 4.62 + 3.875?
42. What is 12.4 - 5.78?
43. What is 3.6 × 0.4?
44. Written Response: Explain how you decide where to place the decimal point in your answer to a multiplication problem like 2.3 × 1.5. Use one example.
Test 2: Fractions Word Problems
Applied Math45. Maria runs 3/4 of a mile each day for 5 days. How many miles does she run in total?
46. A recipe calls for 2/3 cup of flour. Jordan wants to make 1/2 of the recipe. How much flour does he need?
47. A board is 5/6 yard long. It is cut into 5 equal pieces. How long is each piece?
48. Written Response: Choose one problem from this test and write the equation you used. Explain how multiplying or dividing fractions models the situation.
Test 3: Volume and Measurement
Concepts49. What is the volume of a rectangular prism that is 4 cm long, 3 cm wide, and 5 cm tall?
50. How many milliliters are in 2.5 liters?
51. Which expression represents "the volume of a box with edge length s in inches"?
52. Written Response: A water tank is 6 feet long, 4 feet wide, and 3 feet deep. Explain in steps how to find the volume and what unit your answer should be in.
Test 4: Coordinate Plane and Patterns
ReasoningA class is plotting points on the coordinate plane. They start at the origin (0, 0). The first rule is "add 1 to x and add 2 to y" each step. The second rule is "add 1 to x and add 4 to y" each step. They plot four points for each rule.
53. After 3 steps using the first rule, the y-value is which of the following?
54. How does the y-value of the second rule compare to the first rule at the same step?
55. Which ordered pair would be on the line described by the second rule after 4 steps?
56. Written Response: Explain why the points produced by the second rule rise faster on the coordinate plane than the points from the first rule. Refer to the rules.
Test 5: Mixed Review
Mixed Review57. Which is equivalent to 0.7?
58. Round 8.476 to the nearest hundredth.
59. Evaluate: 12 ÷ (2 + 1) × 3
60. Written Response: Compare 3/4 and 0.8. Show which is larger and explain the strategy you used to compare a fraction with a decimal.
Answer Key & Sample Written Responses
Test 1
41. C 42. A 43. B
44. Sample: Teacher or parent review recommended.
Test 2
45. B 46. B 47. A
48. Sample: Teacher or parent review recommended.
Test 3
49. D 50. C 51. C
52. Sample: Teacher or parent review recommended.
Test 4
53. C 54. C 55. B
56. Sample: Teacher or parent review recommended.
Test 5
57. A 58. C 59. C
60. Sample: Teacher or parent review recommended.