Grade 6 Math Practice Test — Version D

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Session 1
Choose the best answer for each question. No calculator.

1. A factory produces 320 items in 8 hours. What is its unit rate in items per hour?

2. A runner finished 5 laps in 20 minutes. What is her speed in laps per minute?

3. Evaluate: 12 + 5 x (6 - 2)

4. A recipe calls for 3/5 cup of oil. How much oil for 5 batches?

5. Solve: 6y + 4 = 40

6. A swimming lane is 50 m long, 2.5 m wide, and 2 m deep. What is its volume?

7. A golfer was 5 under par on day 1 and 3 over par on day 2. What is her total score relative to par?

8. A garden has 6 red flowers for every 4 yellow flowers. If there are 24 yellow flowers, how many red?

9. Divide: 9/10 / 3/5

10. A point is at (2, -6). Which quadrant?

11. Which expression equals 7(2x - 5)?

12. The mean of 7, 11, 15, and x is 12. What is x?

13. A cereal box is 30 cm tall, 20 cm wide, and 8 cm deep. What is its volume?

14. Which inequality represents "t is more than 20"?

15. Which has the greatest absolute value?

16. A trapezoid has bases 8 cm and 12 cm with height 7 cm. What is its area?

17. Simplify: 24 / 4 + 3^2 x 2

18. A school store sold 280 pencils over 4 weeks equally. How many per week?

19. Find the median of: 14, 22, 9, 31, 18

20. A punch uses 5 cups of juice for every 2 cups of soda. How many cups of juice for 6 cups of soda?

21. A rectangular prism has l=9, w=4, h=3. What is its surface area?

22. Which set is correctly ordered greatest to least?

23. If h = 5x + 2, find h when x = 3.

24. A parallelogram has base 11 m and height 6 m. What is its area?

25. A taxi charges $2.50 to start plus $1.75 per mile. Write an expression for m miles.

26. A data set is {5, 9, 11, 14, 21}. What is the range?

27. Which point is on the x-axis?

28. A bolt of fabric is 5 meters. Each piece is 2/5 m. How many pieces?

29. Leo had $200. He paid $67.40 for a jacket and $23.15 for shoes. How much is left?

30. In a class of 36, 27 students own a pet. What fraction own a pet?

31. Solve: 5n + 3 = 33

32. What is the distance on a number line between -6 and 9?

33. A storage unit is 4 m long, 3.5 m wide, and 2.5 m tall. What is its volume?

34. What is |-31|?

Session 2
A calculator may be used for this session.
Choose the best answer for multiple choice. Show all work for open-response questions.

1. A model car is built to a scale of 1:24. The real car is 432 cm long. How long is the model?

2. Data set: 4, 7, 7, 8, 9, 10, 10, 10. What is the mode?

3. A balance of -$45 means:

4. A pool fills at a rate of r gallons per minute. Which expression shows gallons after m minutes?

5. A pentagon has area 30 sq units. A triangle next to it has base 6 and height 4. What is the combined area?

6. Solve: 8p - 6 = 42

Question 41. 1-credit A pack of 4 batteries costs $6.80. A school needs 20 batteries for science lab equipment. How much will they spend? Show your work.

Question 42. 1-credit A diver is at -60 feet. She descends another 25 feet. What is her new depth? Show your work.

Question 43. 1-credit A rectangular yard has an area of 96 square meters. Its width is 8 meters. What is the perimeter? Show your work.

Question 44. 2-credit Brand X laundry detergent: 64 oz for $9.60. Brand Y: 80 oz for $11.20. What is each brand's unit price per ounce? Which is the better buy? Explain.

Question 45. 2-credit A recreation center has a rectangular gym floor 30 m by 20 m. A storage closet in one corner measures 5 m by 4 m. What is the usable floor area? Show your work.

Question 46. 2-credit A storage chest is 120 cm long, 60 cm wide, and 50 cm tall. Sophia fills it 2/3 full of blankets. How many cubic centimeters of space is used? Show your work.

Question 47. 2-credit Weekly steps walked: 8,200; 9,500; 7,800; 10,100; 9,000; 8,600; 9,700. Find the mean, median, and range. Show your work.

Question 48. 2-credit On a coordinate grid, rectangle ABCD has A(-2, 3), B(6, 3), and C(6, -1). What are the coordinates of D? What is the area and perimeter? Show your work.

Question 49. 2-credit A vending machine sells granola bars for $1.50 and juice boxes for $2.00. Ryan spent $11.00. He bought 2 granola bars. How many juice boxes did he buy? Write and solve an equation.

Question 50. 3-credit A city park has two sections. Section A is a rectangle 40 m long and 25 m wide. Section B is a right triangle with legs of 20 m and 15 m, attached to one end of Section A. Part A: What is the total area of the park? Show your work. Part B: The park will be enclosed by a fence. The sides that need fencing are: the two long sides of the rectangle (40 m each), the far short side of the rectangle (25 m), and the two legs of the triangle (20 m and 15 m). The hypotenuse of the triangle is 25 m. What total length of fence is needed? Show your work.