SAS 6th Grade Math Review 1-10

1. A rectangular patio is partially covered by a triangular section of a roof. The shaded portion in the diagram below represents the roof, and the entire rectangle represents the patio. What percent of the area of the patio is covered by the roof?

• 17%

• 30%

• 33%

• 60%

2. The point (5, 1) is plotted on the coordinate plane.

Esteban plots a second point that has the same x-coordinate but opposite y-coordinate as the given point. He then plots a third point that has the same y-coordinate as the given point but the opposite x-coordinate. What is the area, in square units, of the triangle created by these three points?

• 10

• 12

• 20

• 30

3. Tony asked his classmates how many kinds of cereal they had at home. The data set is shown in the list below.

0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7

Tony calculates the mean, median, mode, and range of this data. He then excludes the values of 0 from the data and recalculates the mean, median, mode, and range. Which measure remains the same as it was for the original data set?

• Mean

• Median

• Mode

• Range

4. Points P, Q, and R are plotted on the coordinate plane. Point S will be plotted so that the four points create a trapezoid with an area of 18 square units. Which coordinate pair could be point S?

• (-2, -2)

• (2, -6)

• (2, 0)

• (4, -2)

5. Which net forms a cube with each pair of its opposite sides adding up to 7?

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6. Peter and Marcia set up chairs in a room for a meeting. Peter sets up 5 rows of chairs with 3 chairs in each row. Marcia sets up 8 rows of chairs with 3 chairs in each row. Which expression could be used to show the total number of chairs Peter and Marcia set up for the meeting?

• 3(5 + 8)

• 3(5 + 24)

• 3(15 + 8)

• 3(15 + 24)

7) A number cube has side lengths of 1¹/₄ inches. What is the volume, in cubic inches, of the number cube?

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8) The temperature inside a freezer is 2 degrees Celsius. What change can be made to the temperature inside the freezer so that it is 0 degrees Celsius?

• (A) increase the temperature by 2 degrees Celsius

• (B) decrease the temperature by 2 degrees Celsius

• (C) divide the temperature, in degrees Celsius, by 2

• (D) multiply the temperature, in degrees Celsius, by 2

9) A city planner has an ⁸/₉-acre plot of land to develop for the city. She will use the land to make separate sections that each have an area of ¹/₄ acre for gardens. What is the greatest number of ¹/₄ -acre sections that can be made from the ⁸/₉-acre plot of land?

• 1

• 2

• 3

• 4

10) It takes Carleen 2 hours to paint 5 posts. Which equation could be solved to determine how many hours, h, it takes Carleen to paint f posts at this rate?

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