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Problem Solving

Claim 2 Smarter Balanced Sample Items Grade 5. Problem Solving. Questions courtesy of the Smarter Balanced Assessment Consortium Item Specifications – Version 3.0 Slideshow organized by SMc Curriculum – www.ccssmathactivities.com. #1.

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Problem Solving

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  1. Claim 2Smarter Balanced Sample ItemsGrade 5 Problem Solving Questions courtesy of the Smarter Balanced Assessment Consortium Item Specifications – Version 3.0 Slideshow organized by SMc Curriculum – www.ccssmathactivities.com

  2. #1 Luke buys a bicycle that is of the original price. The sale price is $80 less than the original price. What is the original price, in dollars, of the bicycle? Enter your answer in the response box.

  3. #1 Answer Rubric: (1 point) The student enters the correct original price. Answer: 160

  4. #2 A rectangular box is filled with 48 same-sized cubes. Julie opens the top of the box and sees 16 cubes. Julie closes the top and then opens the right side of the box. How many cubes should she see? Enter your answer in the response box.

  5. #2 Answer Rubric: (1 point) The student provides the correct number of cubes for the right side of the box. Answer: 12

  6. #3 Use the Connect Line tool to draw a rectangle with area 1575 square units and one side with length 45 units.

  7. #3 Answer Rubric: (1 point) The student draws a rectangle with correct dimensions. Answer: 45 by 35

  8. #4 The figure shown was created by joining two rectangular prisms. What is the total volume, in cubic inches, of the figure? Enter your answer in the response box.

  9. #4 Answer Rubric: (1 point) The student correctly enters the total volume of the figure in cubic inches. Answer: 168

  10. #5 The four figures shown represent a sequence. Enter your answer for Figure 5 in the first response box. Figure 40 in this sequence contains 820 squares. How many squares are needed to make Figure 41? Enter your answer for Figure 41 in the second response box.

  11. #5 Answer Rubric: (2 points) The student is able to correctly determine the number of squares in both figures. (1 point) The student is able to correctly determine the number of squares in one figure, but not both. Answer: 15; 861

  12. #6 Shelbi builds a platform with wooden boards. Each board is 100 millimeters wide. Shelbi places the boards side by side to build the platform. The platform has a total width of 12 meters. What is the fewest number of boards that Shelbi needs to build the platform? Enter your answer in the response box.

  13. #6 Answer Rubric: (1 point) Student enters the correct number. Answer: 120

  14. #7 Carl feeds his dog 2cups of dog food every day. Each bag contains 64 cups of dog food. What is the maximum number of days that Carl can feed his dog exactly 2 cups of dog food from one full bag?

  15. #7 Answer Rubric: (1 point) The student is able to determine the maximum number of servings from one bag of food and interpret the remainder as not being enough for another serving. Answer: 25

  16. #8

  17. #8Answer Rubric: (1 point) The student enters the most reasonable choice. Answer: B

  18. #9 Tonya must completely fill a shipping box with as many packages as possible. Each package measures 1 inch by 2 inches by 1 inch. The shipping box she must use measures 4 inches by 8 inches by 4 inches. What is the greatest number of packages that can fit into the shipping box? Enter your answer in the response box.

  19. #9Answer Rubric: (1 point) The student enters the number of packages that can fit into the box. Answer: 64

  20. #10 Mia is traveling along a road toward Clarksburg and sees the following sign. A gas station is located halfway between Weston and Clarksburg as shown on this diagram. How many miles is it from Weston to Clarksburg? Enter your answer in the first response box. How many miles is it from the sign to the gas station? Enter your answer in the second response box.

  21. #10 Answer Rubric: (2 points) The student enters the correct distances for each question. (1 point) The student enters only one correct distance. Answer: 30 or 20

  22. #11 Graciela walked her dog every day for the last 5 days. The time for each walk was between and of an hour. Make an estimate for the total number of minutes she walked her dog in the last 5 days. Enter your estimate, in minutes in the response box.

  23. #11 Answer Rubric: (1 point) The student enters a value in the correct range. Answer: Any number from 150 to 225, inclusive.

  24. #12 Rectangle A (shown) is as long as rectangle B (not shown). How long is rectangle B? • 2 cm • 6 cm • 8 cm • 32 cm

  25. #12 Answer Rubric: (1 point) The student selects the correct option. Answer: D

  26. #13 Plot the value of on the number line below. Add more tick marks and make sure the point is on a tick mark.

  27. #13 Answer Rubric: (1 point) The student chooses a refinement of the number line that includes sixths and correctly plots a point. Answer: with a graphing tolerance of +/-

  28. #14 Scott is buying water bottles and apples for his soccer team. The cost of buying packs of water bottles and bags of apples is shown in the table. What is the least amount of money that he can spend on whole packs of water bottles and bags of apples so that all 18 players on his team can have both a bottle of water and an apple? Enter your answer, in dollars, in the response box.

  29. #14 Answer Rubric: (1 point) The student enters the correct minimum cost. Answer: $27.20

  30. #15 Six students ran a race. The graph shows the ages and times of the six students. What was Petra’s time in seconds?

  31. #15 Answer Rubric: The student correctly identifies Petra’s time. Note: Accept a tolerance of +/- 0.2 seconds. Answer: 14.8

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