6th Math Benchmark

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6th Math Benchmark

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1. Aidan is filling a new kiddie pool with water. The pool is the shape of a rectangular prism and is 3/4 foot deep, 6 1/2 feet wide, and 8 feet long. What is the volume of the kiddie pool?
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A. 35 ft3

B. 39 ft3

C. 42 3/4 ft3

D. 45 1/2 ft3

2. A museum recorded the number of visitors that came each day for 10 days. The data is shown in the table below.

Which are the range and the interquartile range (IQR) for the museum’s number of visitors over those 10
days?

A. range: 12,251; IQR: 4,564

B. range: 12,251; IQR: 4,890

C. range: 25,306; IQR: 4,890

D. range: 25,306; IQR: 5,599

3. The figure below is the net of a three-dimensional figure.
If the net were folded along the dashed lines, what three-dimensional figure would it form?
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A. triangular prism

B. rectangular prism

C. square pyramid

D. triangular pyramid

4. A state trooper kept track of the number of speeding tickets he gave out each week over the course of seven weeks. His data is shown in the table below.

Which of the following statements best describes the data in the table?

A. The variability of the data is shown by the mean, which is 43.

B. The center of the data is shown by the mean, which is 43.

C. The variability of the data is shown by the mean, which is 38.

D. The center of the data is shown by the mean, which is 38.

5. Eva stores art supplies in a box that fits under her bed. The dimensions of the box are shown below.
Which equation can be used to find the volume of the box in cubic inches?
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A. V = 18 × 5 1/4

B. V = 72 × 5 1/4

C. V = 126 × 5 1/4

D. V = 630 × 5

6. Below is a net of the sugar cube that Ms. Temple put in her morning tea.
What is the surface area of the sugar cube? Show your work.
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A. 1/2 in.2

B. 1 1/2 in.2

C. 6 1/4 in.2

D. 9 in.2

7. Chamique recorded the low temperature each day for 9 days. She then created the table below to display her data.
What are the mean and the median low temperatures that Chamique recorded?
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A. mean: 39°F; median: 38°F

B. mean: 38°F; median: 39°F

C. mean: 39°F; median: 37°F

D. mean: 37°F; median: 38°F

8. A shipping crate carrying e-readers has a length of 19 1/3 feet, a width of 7 2/3 feet, and a height of 7 5/6 feet.

What is the volume of the shipping crate?

A. 931 5/27 cubic feet

B. 932 5/6 cubic feet

C. 1,161 2/27 cubic feet

D. 1,216 cubic feet

9. The figure below is the net of a three-dimensional figure.
If the net were folded along the dashed lines, what three-dimensional figure would it form?
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A. rectangular prism

B. cube

C. triangular prism

D. rectangular pyramid

10. For his birthday, Travis received a field guide to local birds. He went to a nearby park on the weekends to see how many different kinds of birds he could spot. He recorded the number of birds he saw each day in the list below.
6, 15, 7, 14, 11, 13, 15, 15
What is the mean absolute deviation of Travis’s data?
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A. 2

B. 3

C. 8

D. 12

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