Grade 6 Math Practice Test — Version B

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

1. A cyclist rides 48 miles in 3 hours. What is her unit rate in miles per hour?

2. Which decimal is equivalent to 3/8?

3. Evaluate: 6 x (9 - 4) + 3

4. A tank holds 5/6 gallons. If 3 identical tanks are filled, how many gallons in total?

5. Solve: 4x - 7 = 17

6. A poster is 2.5 m wide and 1.8 m tall. What is its area?

7. An account balance was -$15. After a deposit of $22, what is the new balance?

8. In a class of 28 students, 7 are left-handed. What is the ratio of left-handed to right-handed students?

9. Divide: 5/6 / 1/3

10. A point is located at (4, -2). Which quadrant is it in?

11. If a train travels 240 miles in 4 hours, how far will it travel in 7 hours at the same speed?

12. Which expression is equivalent to 3(2x - 4)?

13. The mean of 5, 9, 11, and x is 10. What is x?

14. A cube has edges of 4 cm. What is its volume?

15. Which inequality means "p is less than 12"?

16. Which number has the greatest absolute value?

17. A trapezoid has bases of 6 cm and 10 cm, and a height of 5 cm. What is its area?

18. Simplify: 3 + 4^2 - 2 x 5

19. A movie theater sold 540 tickets over 3 days equally. How many tickets per day?

20. Find the median of: 2, 5, 8, 11, 14, 17

21. A punch recipe uses 4 liters of juice for every 1 liter of soda. How many liters of juice for 3 liters of soda?

22. A box has length 6 cm, width 4 cm, height 3 cm. What is its surface area?

23. Which list is in order from greatest to least?

24. If y = 3x - 2, what is y when x = 5?

25. A rhombus has diagonals of 8 cm and 6 cm. What is its area?

26. A plumber charges $45 per hour. Write an expression for the total charge after h hours.

27. The range of the data {12, 18, 21, 25, 33} is:

28. Which point is in Quadrant III?

29. A pizza is cut into 2/5-pound slices. A pie weighs 2 pounds. How many slices?

30. Carlos saved $120. He bought sneakers for $47.50 and socks for $8.25. How much is left?

31. Out of 40 students surveyed, 24 prefer reading. What fraction prefer reading?

32. Solve: n/6 = 9

33. What is |-23|?

34. A swimming pool is 25 m long, 10 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 map uses a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?

2. A data set has values 3, 6, 6, 9, 11, 11, 11. What is the mode?

3. Which represents a temperature below freezing?

4. Mira earns $11 per hour. She worked h hours. Which shows her earnings?

5. A triangle on a grid has base 8 units and height 5 units. What is its area?

6. Solve: 6m + 4 = 34

Question 41. 1-credit A 6-pack of water bottles costs $4.80. A class needs 30 bottles for a field trip. How much will they spend? Show your work.

Question 42. 1-credit A submarine dove to -120 feet below sea level. It then rose 45 feet. What is its new position? Show your work.

Question 43. 1-credit A square has a perimeter of 52 cm. What is its area? Show your work.

Question 44. 2-credit Printer A prints 120 pages in 4 minutes. Printer B prints 175 pages in 7 minutes. What is each printer's unit rate in pages per minute? Which printer is faster? Explain your reasoning.

Question 45. 2-credit A community garden is a rectangle 20 m by 12 m. A fountain in the center takes up a 4 m by 3 m space. What is the area available for planting? Show your work.

Question 46. 2-credit A shipping container is 8 m long, 2.5 m wide, and 3 m tall. Workers have already loaded 30 cubic meters of cargo. How many more cubic meters can fit? Show your work.

Question 47. 2-credit A math quiz had scores of 72, 85, 90, 78, 92, 88, and 65. Find the mean, median, and range of the scores. Show your work.

Question 48. 2-credit Points P(-1, 4), Q(5, 4), and R(5, -2) are three vertices of a rectangle. What are the coordinates of vertex S? What is the area and perimeter? Show your work.

Question 49. 2-credit A frozen yogurt shop charges $3.00 for a cup and $0.75 per topping. Jayla paid $5.25 total. How many toppings did she get? Write and solve an equation.

Question 50. 3-credit A running track surrounds a rectangular field that is 100 m long and 60 m wide. The track itself is 5 m wide all the way around. Part A: What is the total area enclosed by the outer edge of the track? Show your work. Part B: What is the area of the track only (not the field)? Show your work.