Name _________________________________ Summer Math Practice 2017 For Incoming Sixth Grade MATH Students in the Upper Level Math Course Directions: To receive credit for this Summer Math Practice, you MUST show work on the pages in this packet or attach work to the packet. You may use a calculator. This packet is due on September 8, 2017. An assessment may be given on these Math topics in early September. 1.

A dozen apples cost $3.36. At this rate, how much would 9 apples cost? a. $40.32 b. $30.24 c. $2.52 d. $0.28

2. Consider the equation y = 2x – 9. Find y if x = 4. a. 17 b. 34 c. 1 d. -1 3. Order from least to greatest 7/8, 3/7, 10%, 2/3, 25%, 0.54 A. B. C. D.

10%, 10%, 10%, 10%,

3/7, 25%, 2/3, 7/8, 0.54 3/7, 25%, 0.54, 2/3, 7/8 25%, 3/7, 0.54, 2/3, 7/8 3/7, 25%, 0.54, 2/3, 7/8

4. 4/5 + 2/3 = a. b. c. d.

6/8 7/15 1 3/4 1 7/15

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5. What is the least common multiple of 9,18, and 21? A. 3 B. 81 C. 126 C. 3,402

6. If y = 5 + 3x, what is the value of y when x = 10? a. b. c. d.

35 40 45 80

a. b. c. d.

1/3 2 1/3 4 7/40 2 7/40

a. b. c. d.

15/70 4/5 56/10 87/70

7.

8.

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9.

a. b. c. d.

7/16 8/14 7/14 8/16

2+7*5

10. Solve: a. b. c. d.

40 37 70 45

11. Tommy scored 43 out of 46 possible points on a quiz. Which of the following is closest to the percent of the total number of points that Tommy scored? a. 0.93% b. 1.07% c. 43% d. 93%

12. You pay $8.40 for 14 bagels. What is the unit price? a. $0.50 per bagel b. $0.06 per bagel c. $0.60 per bagel d. $0.76 per bagel Page 3 of 12

13. Of the 80 teachers at school, 4 teach mathematics. What percent of the teachers at the school teach mathematic? a. 4% b. 5% c. 50% d. 80%

14. Roger is on the basketball team at Ocean View Middle School. In eleven games he scored the following number of points: 8, 10, 16, 17, 13, 8, 5, 6, 7, 10, and 8. Which statement is correct about the points Roger scored? A. Mean = mode B. Mean < mode C. median = mode D. median < mode

15. Joseph needs to calculate how much grass seed he needs to cover his lawn which measures 40 feet across and 15 feet wide. One pound of seed covers an area of 100 square feet and the seed is sold in five-pound bags. How many bags will he need? A. 1 B. 2 C. 3 D. 5

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16. The table below shows the relationship between the hours Joe works and the money he earns.

How much money does Joe earn if he works 10 hours? A. B. C. D.

$50.00 $62.50 $75.00 $100.00

17. The line graph below shows the increase in Marco’s height over a five-year period.

How many inches did Marco’s height increase between age 5 and age 10? A. 7 inches B. 8 inches C. 14 inches D. 16 inches

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18. Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? A. 756 B. 1,260 C. 2,520 D. 7,560

19. At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken per pound? A. $2.75 B. $3.75 C. $5.75 D. $6.75 20. Tom received a $75 gift certificate for the local sporting goods store. He bought two baseballs for $1.79 each, a baseball glove for $49.99, and a baseball bat for $12.19. About how much will he have left on the gift certificate? A. $9.00 B. $11.00 C. $64.00 D. $66.00 21. Clara’s class is going on a trip to the local science museum. Twenty-five students, one teacher, and three parents are going on the trip. The museum charges $3.50 admission for each student and $5.00 for each adult. How much will it cost for all the students and the adults to enter the museum? A. $87.50 B. $101.50 C. $102.50 D. $107.50

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22. Hummingbirds migrate across the Gulf of Mexico. If the distance across the Gulf of Mexico is about 525 miles and hummingbirds fly at a speed of 25 miles per hour, how long does it take a hummingbird to cross the Gulf of Mexico? A. 8.75 hours B. 10.5 hours C. 21.0 hours D. 25.0 hours

23. Manuel and Jerry are trying to find the value of the expression (5+7)2. Jerry plans to first square 5, then square 7, and then add the products together. Manuel plans to add five and seven then square the sum. Which statement is true? A. B. C. D.

Only Jerry has a correct strategy. Only Manuel has a correct strategy. Both Manuel and Jerry have a correct strategy. Neither Manuel nor Jerry has a correct strategy.

24. The expression 1/15 ÷ (4/15 + 1/3) is equivalent to A. 1/9 B. 9 C. 1/5 D. 5

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25. Which figure below represents a rectangle with vertices (3, 2), (-1, 2), (-1, -1), and (3, -1)?

26. What is “two more than the quotient of six and a number, n,” written as an algebraic expression? A. 6n + 2 B. 6n -2 C. 6/n + 2 D. 6/n -2

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27. Sarah builds a dollhouse. The floor of the dollhouse is square. Sarah covers the floor with 144 square inches of tile. How long, in inches, is one side of the dollhouse floor? A. 12 B. 38 C. 72 D. 144

28. A city council recorded the number of new trees planted at seven of the city’s parks. The number of trees planted is recorded below. 29, 11, 13, 29, 7, 21, 16 What is the median number of trees? A. B. C. D.

16 18 21 29

29. The list below shows the number of large bags of popcorn sold each day at a movie theater over five days. 18, 19, 22, 18, 23 What is the mean (average) number of large bags of popcorn sold over the five days? A. B. C. D.

18 19 20 22

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30. What are the coordinates of point P?

A. B. C. D.

(2,3) (3,2) (-2, 3) (3,-2)

31. What value of x makes the equation below true? 6x -9 = 39 A. B. C. D.

5 8 13 24

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32. Every day at 7am, Tamara recorded the outside temperature in degrees Fahrenheit (˚F). She placed the data for one week in the table below.

What is the range for the temperatures given in the table? A. 19 ˚F B. 22 ˚F C. 38 ˚F D. 61 ˚F

33. Peter has 6 sweaters, 4 pairs of jeans, and 3 pairs of shoes. How many different outfits can Peter make using one sweater, one pair of jeans, and one pair of shoes? A. 13 B. 36 C. 72 D. 144

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34. What is the prime factorization of 144 written in exponential form?

A. B. C. D.

22 42 24 32 23 42 23 32

35. An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to m aintain the same proportion? A. B. C. D.

3 10 40 45

36. The list below shows the number of dogs that stayed at Doggy Daycare over an eight-day period. 40, 31 ,43 ,43, 26, 31, 26, 43 What is the mode of these numbers? A. B. C. D.

40 43 26 and 31 31 and 43

You have finished your Math packet! Enjoy the rest of your Summer!

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