Grade 6 Math Assessment Test 9/17

1. Jason has a coupon for $2.50 off any electronic book from an online book store. If the original price, in dollars, of an electronic book is p and the discounted price, in dollars, is d. which table shows the relationship between p and d?

2. Which pair of expressions below are equivalent?

3. An art teacher had 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?

4. The coordinates of point F are (1, 0.5) and the coordinates of point G are (- 1, – 0.5). Which coordinate plane below correctly shows the locations of points F and G?

5. Last year, Chesa made 32 one-cup servings of soup for a school party. This year, she will make two times the amount of soup that she made last year. How many gallons of soup will Chesa make this year?

6. A shelf has four books on it. The weight, in pounds, of each of the four books on the shelf is listed below.

2.5, 3.2, 2.7, 2.3

Which inequality represents the weight, w, of any book chosen from the shelf?

17. The area of the triangle below is 2/5 square foot.

What is the length, in feet, of the base of the triangle?

8. Point M represents the opposite of -(1/2) and point N represents the opposite of 5/2 . Which number line correctly shows points M and N?

9. The weight of an object on the moon, m, is about 1/6 of the object’s weight on Earth, e. Which equation represents the approximate weight of an object on the moon in terms of the object’s weight on Earth?

10. The table below shows different possibilities for the number of games a team would need to win to maintain a certain percentage of wins.

Which ratio of the number of games won to the number of games played could also be included in this table?

11. The table below lists the coordinates of four points

If x represents any number in the first column, which expression can always be used to find the value of y in the second column?

12. Which expression is represented by the phrase “the square of y decreased by the quotient of 28 and 7″?

13. A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water?

14. Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps?

15. John’s friend told him that he could earn $49 for handing out flyers at a local concert. John wants to calculate the hourly rate. If he works a total of 3.5 hours, the equation 3.5x = 49 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars?

16. Theo made sails for a model boat. He cut along the diagonal of a rectangular piece of cloth to make two sails, as shown below.

What was the area, in square feet, of one sail?

17. The area of an airplane’s wings is related to the airplane’s lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces.

The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y?

18. Simon used 3 pears and 9 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the fruit salad?

19. The summit of a volcano is 10 kilometers (km) above the ocean floor, as shown below.

If the ocean floor has an elevation of -5 kilometers, which statement describes the elevation of sea level and the summit?

20. The Frenchtown Roller Rink charges a $5 entrance fee and an hourly rate for roller skating. The total cost for roller skating depends on the number of hours a person skates. The table below represents the total cost of skating for different numbers of hours.

Which equation represents the relationship between the cost, c, and the number of hours, h?

21. Fei Yen’s dog eats 8 ounces of dog food each day. Fei Yen bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food?

22. Point A and point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement about point B is true?

23. Chakan worked at the warehouse after school. He earned $9.25 per hour stacking boxes. Which equation correctly relates Chakan’s total earnings, d, to the number of hours he worked, h ?

24. Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4.400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center?

25. Maddy had a piece of ribbon that was 3(1/2) yards long. She used this ribbon to make bows. Each bow was made from a piece of the ribbon that was (3/4) yard long. This situation can be represented by the equation (3(1/2)) ÷ (3/4)  = 4(2/3) . Which statement best describes what the quotient 4(2/3) represents in the situation above?

26. The figure below shows the net of a triangular pyramid. The given height is rounded to the nearest hundredth.

If all the triangles are equilateral, what is the surface area of the pyramid in square centimeters?

27. Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma.

Which expression represents the amount of change Zelma should receive?

28. The table below lists four masses and their corresponding approximate weights on Earth.

The ratio of weight to mass is constant. Which statement describes the ratio of weight to mass and the value of x in the table?

29. What value of y makes the equation below true?

y + 2.9 = 11

30. A scientist studied the migration patterns of two types of whales.

• The humpback whales traveled 2,240 miles in 28 days
• The gray whales traveled 2,368 miles in 32 days.

If the humpback whales had traveled at the same rate for 32 days, how many more miles would they have traveled than the gray whales?