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rms.056 Math Grade 8 Benchmark Window #02 December 2020

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1.

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to the volume of water in the fishbowl in cubic inches?

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2.

Based on the scatterplot, what is the best prediction of the speed of sound when the air temperature is 50°C?

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3.

Which list shows these lengths in order from greatest to least?

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5.

Which measurement is closest to the shortest distance in miles from Natasha’s house to the library?

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7.

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

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9.

The container has a height of 15 centimeters. What is the lateral surface area of the container in square centimeters?

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10.

Which statement is true?

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11.

Which function is best represented by this graph?

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13.

Based on the diagrams, which statement is true?

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14.

Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

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15.

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?

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16.

Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that have passed, x?

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17.

Which rule best represents the dilation that has been applied to triangle JKL to create triangle J K′ ′L′?

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18.

Which statement is true?

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20.

Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?

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21.

Which rule describes this transformation?

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23.

What is the solution to this equation?

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24.

An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interest. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 10 years?

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25.

Which statement about the volumes of the cone and the cylinder is true?

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26.

Which situation can be represented by this equation?

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27.

Which measurement is closest to the length of QR in units?

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28.

Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?

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30.

Which situation could NOT represent a proportional relationship?

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32.

Based on the scatterplot, what is the best prediction of the number of hours one of Phil’s friends spends sleeping when the friend spends 1 hour playing video games?

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34.

How many gallons of water will the dishwasher use to wash 10 loads of dishes?

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35.

Which representation shows y as a function of x?

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36.

Which proportion must be true?

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38.

What is the slope of the line that models this situation?

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39.

Which measurement is closest to the total surface area of the container in square inches?

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40.

Which scatterplot does NOT suggest a linear relationship between x and y?

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41.

Which value is best represented by point Q?

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42.

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?

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4.

Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

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6.

A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?

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8.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

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12.

An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?

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19.

What is the mean absolute deviation for these numbers?

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22.

Which list shows these numbers in order from least to greatest?

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29.

If ( , x y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

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31.

Which rule best describes this transformation?

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33.

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

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37.

Which amount is closest to the minimum that the student will need to save every month in order to pay off the remaining cost at the end of 12 months?