Grade 6 Math Practice Test — Version C

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

1. A hiker walked 15 miles in 5 hours. What is her average speed in miles per hour?

2. Which fraction is equivalent to 0.6?

3. Evaluate: 2 x 5^2 - 3 x 4

4. A jug holds 7/8 of a gallon. How many gallons in 4 jugs?

5. Which value of k makes 2k + 9 = 23?

6. A sandbox is 3.5 m long, 2.4 m wide, and 0.2 m deep. What is its volume?

7. A mountain is 782 feet above sea level. A nearby valley is at -35 feet. How much higher is the mountain than the valley?

8. A bouquet has 4 roses for every 3 daisies. If there are 12 daisies, how many roses are there?

9. Divide: 7/8 / 1/4

10. A point at (-5, -3) is in which quadrant?

11. If 4 pounds of apples cost $6.00, how much do 10 pounds cost?

12. Expand: 4(3x + 2)

13. The mean of 4, 6, 8, 10, and x is 8. What is x?

14. A rectangular suitcase is 70 cm x 45 cm x 25 cm. What is its volume?

15. Which means "a number z is at most 15"?

16. Order from least to greatest: -4, 3, -7, 1, 0

17. A circle has a diameter of 10 cm. Using pi = 3.14, what is its area?

18. Simplify: 50 - (3 + 7) x 4

19. A company packs 144 jars into boxes of 12. How many boxes are needed?

20. Find the median of: 11, 4, 7, 19, 13

21. A car uses 2 gallons of gas every 50 miles. How many gallons to drive 175 miles?

22. A rectangular prism has l=7, w=3, h=2. What is its surface area?

23. Which value is between -3 and -1 on the number line?

24. If f(x) = 4x - 3, find f(6).

25. A triangle has base 14 cm and height 9 cm. What is its area?

26. A dog groomer charges $35 per dog. Write an expression for the charge for d dogs.

27. A data set is {8, 12, 15, 15, 20}. What is its range?

28. Which coordinate is on the y-axis?

29. A ribbon is 6 meters long. Each piece needs to be 3/4 m. How many pieces can be cut?

30. Nadia has $75. She buys art supplies for $32.60 and a sketchbook for $11.99. How much does she have left?

31. In a poll of 50 people, 35 prefer hiking. What fraction prefer hiking?

32. Solve: 3n - 6 = 18

33. What is the distance between -8 and 5 on a number line?

34. A fish pond is 6 m long, 4 m wide, and 1.5 m deep. What is its volume?

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 lemonade recipe uses 3 lemons for every 2 cups of water. How many lemons for 8 cups of water?

2. Test scores: 80, 85, 85, 90, 95, 95, 95. What is the mode?

3. Which represents a depth below sea level?

4. A bakery makes b batches per hour. Each batch has 24 muffins. Which expression gives total muffins after h hours?

5. A rectangle on a grid has corners at (1,2), (7,2), (7,6), (1,6). What is its area?

6. Solve: 7k - 5 = 30

Question 41. 1-credit A bag of 8 oranges costs $5.60. A school needs 40 oranges for a health fair. How much will they spend? Show your work.

Question 42. 1-credit A mountain climber starts at an elevation of -200 feet. She climbs up 350 feet. What is her new elevation? Show your work.

Question 43. 1-credit The perimeter of an equilateral triangle is 39 cm. What is the area of a square with the same side length as one side of the triangle? Show your work.

Question 44. 2-credit Store A sells 5 pounds of birdseed for $8.75. Store B sells 8 pounds for $12.80. What is each store's unit price per pound? Which is the better deal? Explain your reasoning.

Question 45. 2-credit A school courtyard is a rectangle 25 m by 18 m. A stage area in one corner measures 6 m by 5 m. What is the area of the courtyard that remains after removing the stage area? Show your work.

Question 46. 2-credit An aquarium is 90 cm long, 45 cm wide, and 50 cm deep. It is filled to 4/5 capacity. How many cubic centimeters of water are in the aquarium? Show your work.

Question 47. 2-credit Heights of 7 plants (in cm): 14, 19, 22, 18, 25, 17, 21. Find the mean, median, and range. Show your work.

Question 48. 2-credit A coordinate grid shows a rectangle with vertices at A(-3, 5), B(4, 5), C(4, -2). What are the coordinates of vertex D? What is the area and perimeter? Show your work.

Question 49. 2-credit A bookstore sells hardcovers for $18.00 and paperbacks for $9.00. Deon spent $63 total. He bought 2 hardcovers. How many paperbacks did he buy? Write and solve an equation.

Question 50. 3-credit A school lobby has an L-shaped floor plan. One section is 12 m long and 8 m wide. The other section is 6 m long and 5 m wide. Part A: What is the total floor area of the lobby? Show your work. Part B: The school wants to tile the floor. Tiles cost $4.50 per square meter. What is the total cost of tiling the lobby? Show your work.