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Name:__________________ Date:__________

Cumulative test Review Direction: Show the necessary work to solve the following problems 1) An airplane travels 18,032 miles in 45 2) An auditorium can hold 572 people. If 109 people have come in through the hours. Determine the plane’s speed in north entrance, and 218 people have miles per hour by long division. come in through the south entrance, about how many more people can fit in the auditorium?

3) Kaitlin’s family is planning a trip from Washington, D.C., to New York City. New York City is 227 miles from Washington, D.C., and the family can drive an average of 55 mi/h. About how long will the trip take?

4) Owen has completed the following division problem and has made a mistake. Find the mistake and explain what Owen has done wrong. Then solve the division problem correctly. 561.22 45 25245.00  225 275  270 55  45 100 90  100  90 100

Direction: Find each quotient. 5) 6) 278 ÷ 12

1,607 ÷ 24

7)

4815 ÷ 15

8)

12956 ÷ 38

9) The school cafeteria can seat 660 people. If there are 55 tables and each table seats the same number of students, how many seats are at each table?

Directions: Write each expression in exponential form. 10) 4 × 4 × 4 × 4

11) 10 × 10 × 10

12) 6 × 6 × 6 × 6

Directions: Find each value. 13)

23

14)

52

15)

44

16)

11 2

Directions: Simplify each expression. (use order of operation) 17)

12 + 8 ÷ 2

18)

3  × 5 + 10 − 7

19)

12 + (28 − 15) × 4 ÷ 2

20)

7 + (6 × 52 + 3)

21)

20 ÷ 4 x 6 - 5 

22)

12+129 – 3(9 - 4)2

23) The New York Philharmonic Orchestra performs at Avery Fisher Hall in New York City. It seats 2,738 people. The Boston Symphony Orchestra performs at Symphony Hall in Boston, Massachusetts. It seats 2,625 people. Which hall seats more people?

Directions: Order the decimals from least to greatest. 24) 12.16, 12.307, 12.067

25) 3.005, 3.5, 3.028

Directions: Evaluate the following 27) `7.08 + 4.5 + 13.27 28) 6.21 + 5.8 + 21.01

26) 0.10301, 0.10318, 0.10325

29) 8.0954 + 0.792 + 3.218

30) 18 − 11. 032

31) 7.001 − 2.0785

32) 5.35 − 9.235 + 4.906

33) 4 × 2.36

34) 0.6 × 0. 012

35) 9.7 × 1.084

36) 34.65 ÷ 9

37) 62.73 ÷ 1.2

38) 185 ÷ 0.3

39) Marisol bought six sweaters on sale for a total of $126.24. How much did each sweater cost if they were all marked down to the same price?

40) . A one-way trip on the South worth Fauntleroy ferry takes 0.75 hours. How many one-way trips can the ferry make in 12 hours? (Assume the ferry departs immediately after reaching its destination.

41) The weights of three backpacks are 15.8 pounds, 18.1 pounds, and 16.7 pounds. About how many pounds do the backpacks weigh all together?

42) Daisy buys a shirt that costs $21.64 after tax. She gives the cashier $25. How much, in dollars, does she get back in change?

43) Gretchen wants to add a wallpaper border along the top of the walls of her square room. The distance around her room is 20.4 meters. b) c) The price of wallpaper border is a) What is the length of each $1.25 per meter. What is the total cost wall of Gretchen’s room? to add the border to her room?

45) Ken wants to fence his square garden. He will need 6.4 meters of fence to enclose all four sides of the garden a) How long is each side of his b) The price of fencing is $2.25 per garden? meter. What is the total cost to fence Ken’s garden?

Directions: Find the least common multiple (LCM). 46) 10 and 15

47) 4, 6, and 18

48) 9, 10, and 12

49) 6, 15, and 20

Directions: Add or subtract. Write the answer in simplest form.  

 

51) 1





55)  + 

50) 4 − 2

54) 4  − 2 



 

+3



 

52)  − 





53) 2  −

 

 

57)  − 

56) +







 



58) On Saturday, Cecelia ran 3  miles. On Sunday, she ran

 4 

miles. How much farther did Cecelia run on Sunday than on Saturday?

60) Quincy needs 6

 

feet of rope to tie

down the things he is hauling in his truck. He finds a 9-foot-long rope in his garage. How much extra rope does Quincy have?

Direction: Find the reciprocal of:  63) 7 62) 

59) Michael studied social studies for hour, Spanish for 1

   

70) 3 ÷ 1





 

71) × 1

 

of an 

hours, and math for 1  hours. How many hours did Michael spend studying all three subjects?

61) Byron purchased a box of candy at the store. On his way home he ate ¼ of the candy in the box. At dinner with friends later that night he served ½ of what was left. If there are 6 chocolates now left in the box, how many did the box contain to start with?





65) 

64) 

Directions: Multiply or divide. Write the answer in simplest form.       68) 2 × 2 66) 1 × 67) 1 ×  

 

 





 

 

72) 3 ÷ 1

69)

 ÷ 

 

73) ×

2

 

74) A recipe for granola bars  requires 1 cups of flour. 

How much flour is needed to make a triple batch of granola bars?

75) Jessica purchased a bag of cat food. She feeds her cat 1 cup of cat food each day. After 7 days, she has fed her cat

 

of the food in

the bag. How many cups of food were in the bag of cat food when Jessica bought it?

76) Seth earns $560 per week. He has 15 of his income withheld for federal taxes, 1 15 of his income withheld for state taxes, and 125 of his income withheld for medical coverage. How much income is left each week after those deductions?

77) A bolt extends through ¾” thick plywood, a washer that is ⅛” thick, and a nut that is 316 ” thick. The bolt should be ⅝” longer than the sum of the thickness of the plywood, washer and nut. What is the minimum length of the bolt?

78) A recipe for French toast that serves 6 calls for ¾ cup granulated sugar, 1 cup of evaporated milk, ⅓ teaspoon of vanilla, and 12 thick slices of French bread. How much of each ingredient is needed to serve only three?

79) Gabriel wants to make five banners for the parade. He has 75 feet of material. The size   of four of the banners are: 12 ft., 16 ft.,  



11  ft., and 14  ft. How much material is left for the fifth banner?...