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6th Grade Review – Due 5/15/15 1. What is 1,476 divided by 12? Record your answer on the bubbles 2. Use grid paper to find out what ordered pair represents a point at (-5,6) that is reflected across the Y-axis. a. (-6,-5) b. (-5, -6) c. (5,6) d. (6,5) 3. Rachel earns a constant hourly rate working part time at a clothing store. The graph below shows her earnings. 50 45 40 35 30 25 20 15 10 5 0 Amount $ 1 2 3 4 5 6 7 8 9 10 Number of Hours Which equation represents the relationship between the number of hours Rachel worked, x¸ and her earnings, y. a. y = 10x b. y = 20x c. y = x + 10 d. y = x + 20 3. What is the product of 14.5 and 20.2? Record your answer. 4. Stephan is gathering data about the growths of saplings in the local forest for a biology project. Which most likely describes how Stephan collected the data? a. He measured the distances between different saplings b. He counted the total number of saplings. c. He recordd the types of saplings in the forest. D. He measured the heights of the saplings. 5. Which point on the number line best represents – 6/8? A -2 a. point A B -3/2 -1 b. point B C -1/2 0 c. point C 1/2 1 d. point D D 3/2 2 6. An art student is mixing blue paint with yellow paint to create a custom color. The table below shows the amount of blue and yellow paint that is mixed together. Blue paint 6 12 18 30 What number is missing? a. 15 b. 16 c. 20 d. 45 Yellow Paint 4 8 12 ? 7. Which situation could not be correctly described using a negative integer? a. change in temperature b. time spent working on a project c. distance from sea level d. race time compared to world record 8. Jason has a collection of 12 model planes. His father added to the collection and the number of place Jason has now can be modeled by the equation 12 + p = 32, where p represents the number of new planes. How many new planes did Jason’s father give him? a. 44 b. 20 c. 12 d. 10 9. The students in a shop class at a middle school are building a giant wooden L for t heir school. The figure is shown below. 2 ft. 6 ft. 2 ft. 8 ft. What is the area of the wooden L? a. 48 square feet b. 32 square feet c. 28 square feet d. 24 square feet 10. Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 + n. What could the variable n in the expression not represent? a. the number of cans all four collected in the afternoon b. the number of cans collected the next day c. the number of cans either Andy or Fergus collected d. the number of cans Margaret collected in the afternoon 11. There are 3/4 of a gallon of water in a container. That is 6/7 of the total container. How much liquid is in a whole container? a. 7/8 gallon b. 3/4 gallon c. 2/3 gallon d. 9/14 gallon 12. A rectangular box has a base area of 12 square centimeters. The height of the box is 3 2/3 centimeters. What is the volume of the box? a. 15 2/3 cm3 b. 39 3/11 cm3 c. 44 cm3 d. 72 cm3 13. The table below shows the amount of nuts needed for a certain number of servings of trail mix. Cups of Nuts Number of Servings 3 9 9 27 Which ratio is equivalent to the ratio of cups of nuts to the number of servings as shown in this table? a. 6:16 b. 21:63 c. 8:32 d. 21:56 14. The combination to a safe has 3 numbers. The first number is the greatest common factor of 16 and 40. The second number is the greatest common factor of 25 and 75. The third number is the greatest common factor of 27 and 36. What is the combination to the safe? a. 2, 25, 6 b. 4, 5, 6 c. 8, 5, 9 d. 8, 25, 9 15. What is the expression (0.3)2 – (0.2)3 ٠ (0.5) simplified? 16. Which expression is equivalent to 12x + 15? a. 3(4x +15) b. 4(3x +15) c. 3(4x +5) d. 4(3x + 5) 17. A search team is looking underwater. They’ve mapped out a rectangular search area of the ocean. The coordinates of the search are (-1, 4), (-1, 8), (-5, 4), (-5, 8). What is the area of the search? a. 9 units2 b. 18 units2 c. 40 units2 d. 41 units2 18. George spent 70% of his savings to buy a camera. The camera cost $574. How much did he originally have in savings? a. $644 b. $738 c. $800 d. $820 19. What is the surface area of the right triangular prism formed by this net? 32 in. 8 in. 10 in. 6 in. 2 a. 768 in. 8 in. b. 792 in. 2 c. 816 in. 2 d. 864 in. 2 20. Which result is the value of the expression x + 3y2 when x = 5 and y = 2? a. 77 b. 17 c. 14 d. 11 21. A printer in the school computer lab prints 56 pages in 4 minutes. At this rate, how many pages does it print in 7 minutes? a. 84 pages b. 88 pages c. 98 pages d. 108 pages 22. Which expression shows how many 1/8 cup servings there are in 3/4 cup salad dressing? a. 1/8 + 3/4 b. 1/8 ÷ 3/4 c. 3/4 x 1/8 d. 3/4 ÷ 1/8 23. A rectangular prism has a height of 4 1/2 inches. If the length of the prism is 8 1/2 inches and the width is 3 inches, what is the volume of the prism? a. 64 in. 3 b. 103 in. 3 c. 114 3/4 in.3 d. 154 1/2 in.3 24. The sum of 28 and 42 can be expressed in two different ways using the distributive propery. 28 + 42 = (2 + 3) = 7(4 + ) Which numbers complete the equation? a. 7 and 1 b. 7 and 3 c. 12 and 6 d. 14 and 6 25. Simplify. m+m+m+m+m+n+n a. 5m + 2n b. 2m + 5n c. 5m + n d. m + 5n 26. Rafael unfolded a cardboard gift box as shown. The box was a rectangular prism. 6 in. 6 in. 12 in. What is the surface area? Record your answer. 27. Mr. Stevens asked four students in his math class to find the least common multiple of 4 and 6. Grace answered 2, Lyra answered 3, Samuel answered 12, and Branden answered 24. Who is correct? ________ 28. An elevator can carry at most 13 people at a time. Which inequality represents the number of additional people, n, who can get on if there are 5 people on already? a. n > 13 b. n > 8 c. n < 13 d. n < 8 29. Use the formula below to find the number of hours, t, it took the Doyle family to travel d miles at a speed of r miles per hour including a rest break. T = 0.5 + d/r If their average speed was 50 mph, how many hours did it take the Doyles to travel 240 miles? ______