Grade 6 Math Practice Test — Version A

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

1. A car travels 210 miles on 7 gallons of gas. What is the unit rate in miles per gallon?

2. Which fraction is equivalent to 0.75?

3. Evaluate: 4 + 3 × (8 − 5)

4. A recipe uses 2/3 cup of sugar. If you make 4 batches, how many cups of sugar are needed?

5. Which value of x makes 3x + 5 = 20 true?

6. A rectangular garden is 12.5 m long and 8 m wide. What is its area?

7. The temperature dropped from 3°F to −9°F. What was the change in temperature?

8. A bag has 5 red, 3 blue, and 2 green marbles. What is the ratio of red to total marbles?

9. Divide: 3/4 ÷ 1/2

10. Plot the point (−3, 4) in a coordinate plane. Which quadrant is it in?

11. A store sells juice boxes in packs of 6 for $4.20. What is the price per juice box?

12. Which expression is equivalent to 5(x + 3)?

13. The mean of 6, 8, 10, and x is 9. What is x?

14. A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?

15. Which inequality represents "a number n is at least 7"?

16. On a number line, which point is farthest from 0?

17. A triangle has a base of 10 cm and a height of 6 cm. What is its area?

18. Simplify: 18 − 2 × 4 + 6 ÷ 3

19. A school raised $480 for a trip. Each student contributed equally. If there are 24 students, how much did each contribute?

20. What is the median of: 3, 7, 9, 12, 15?

21. A ratio table shows: 2 cups flour for 24 cookies. How many cups for 60 cookies?

22. The surface area of a rectangular prism with length 4, width 3, height 2 is:

23. Which set of numbers is ordered from least to greatest?

24. If y = 2x + 1, what is y when x = 4?

25. A parallelogram has a base of 9 m and a height of 5 m. What is its area?

26. Maya earns $12 per hour babysitting. Write an expression for her earnings after h hours.

27. The range of the data set {4, 7, 7, 9, 13} is:

28. Which coordinate pair is in Quadrant IV?

29. A bag of trail mix weighs 3/8 lb. How many bags can be filled from 3 lb of mix?

30. James has $50. He spends $8.75 on lunch and $14.25 on a book. How much does he have left?

31. A survey of 30 students found 18 prefer soccer. What fraction prefer soccer?

32. Solve for n: n/4 = 7

33. What is the absolute value of −15?

34. A rectangular pool is 15 m long, 8 m wide, and 2 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 recipe calls for a ratio of 2 cups of oats to 3 cups of flour. How many cups of oats are needed with 9 cups of flour?

2. A data set has values 5, 8, 8, 10, 14. What is the mode?

3. Which point on the number line represents −4.5?

4. Keila earns $9.50 per hour. She worked 6 hours. Which expression shows her total earnings?

5. A triangle has vertices at (1,1), (5,1), and (3,4). What is its base?

6. Solve: 5y − 3 = 22

Question 41. 1-credit A store sells 3 notebooks for $5.40. Tomas needs 9 notebooks. How much will he spend? Show your work.

Question 42. 1-credit The temperature in Buffalo was -4 degrees F in the morning. By noon it rose 11 degrees. What was the noon temperature? Show your work.

Question 43. 1-credit A rectangle has a perimeter of 36 cm. Its width is 7 cm. What is its length? Show your work.

Question 44. 2-credit A runner completed a 5-mile race in 40 minutes. Another runner completed the same race in 50 minutes. What is each runner's unit rate in miles per minute? Who ran faster? Explain your reasoning.

Question 45. 2-credit The school garden is a rectangle 14 meters long and 9 meters wide. Students want to add a path around the outside that is 1 meter wide. What is the area of the path only? Show your work.

Question 46. 2-credit Lena has a fish tank shaped like a rectangular prism. It is 60 cm long, 30 cm wide, and 40 cm tall. She fills it 3/4 full of water. How many cubic centimeters of water are in the tank? Show your work.

Question 47. 2-credit Marcus collected daily high temperatures (in degrees F) for one week: 58, 63, 71, 65, 70, 68, 72. Find the mean, median, and range. Show your work.

Question 48. 2-credit A coordinate grid shows points A(2, 3), B(-4, 3), and C(-4, -1). These are three vertices of a rectangle. What are the coordinates of the fourth vertex D? What is the perimeter and area of the rectangle? Show your work.

Question 49. 2-credit A bakery sells muffins for $2.50 each and cookies for $1.25 each. Ava spent exactly $15.00. She bought 2 muffins. How many cookies did she buy? Write and solve an equation to show your work.

Question 50. 3-credit A local park has a walking trail shaped like a composite figure: a rectangle 80 m long and 40 m wide, with a triangular section at one end that has a base of 40 m and a height of 30 m. Part A: What is the total area of the park? Show your work. Part B: The park wants to install a fence along the entire perimeter. The two long sides of the rectangle measure 80 m each. The triangle replaces one short end (40 m is not fenced). The two slanted sides of the triangle each measure 50 m. One short side of the rectangle (40 m) is fenced. What is the total length of fencing needed? Show your work.