math grade 6 - eduware

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Math Grade 6

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DIRECTIONS: The items in this test are based on the

North Carolina Standard Course of Study

for Math Grade 6. Proceed with the test

on the next page.

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1. When Brooke divided 63 by 6, she got an answer of 10.5. What is the correct answer using estimation?

A 6

B 9

C 10

D 12

2. Using the order of operations, what is the solution to the expression below?

(52 + 3) ÷ 7 ‚ 3

A 16

B 7

C 4

D 1

3. What is the product to the solution below?

7.39 × 3.2

A 0.23648

B 10.65

C 23.648

D 106.5

4. How are 4312312, 4

520520, and 410

401040 alike?

A All are less than 4.

B All are less than 41414.

C All are greater than 41212.

D All are equal to 41414.

5. Lindsay bought 21515 Liters of water, 21

212

Liters of apple juice, 23

434 Liters of orange juice, and 27

10710 Liters

of milk. Of which drink did she buy the greatest amount?

A water

B apple juice

C orange juice

D milk



6. Marshall must buy hot dogs and hot dog buns for a picnic. Hot dogs are sold in packages of 8 and buns in packages of 12. What are the least number of packages of hot dogs and hot dog buns that Marshall can buy to have an equal number of hot dogs and buns?

A 2 packages of hot dogs and 3 packages of hot dog buns

B 3 packages of hot dogs and 2 packages of hot dog buns

C 4 packages of hot dogs and 6 packages of hot dog buns

D 6 packages of hot dogs and 4 packages of hot dog buns

7. A school baseball team won 8 out of 30 games during a season. Which of the following represents the fraction of the games that the team did not win?

A 415

B 830

C 1115

D 23

8. Bobby is sorting some nails by their lengths. The lengths of the nails are 2 1212 inches, 2 34

34 inches, 34

34 inch, 3 12

12 inches,

and 2 1414 inches. Which list of lengths is

in order from shortest to longest ?

A

B

C

D

9. Find the location of the four fractions on the number line below.

What is the order of the fractions from least to greatest?

A 710710

3434

2323

3535

B 3535

2323

710710

3434

C 2323

3434

710710

3535

D 3535

3434

710710

2323



10. Tiffany bought 6 5858 lb of pears and 5 34

34 lb

of grapes. How many more pears did she buy than grapes?

A 1 7878 lb

B 1 5858 lb

C 1 1212 lb

D 7878 lb

11. In gym class, Preston jumped 31313 feet

and Barbara jumped 42525 feet in the

standing jump event. How much farther did Barbara jump than Preston?

A 115115 feet

B 1115115 feet

C 11515 feet

D 11212 feet

12. Brianne ran 4 1616 mi on Friday, 2 56

56 mi on

Saturday, and 3 3636 mi on Sunday. What is

the total distance that Brianne ran?

A 9 1521615216 mi

B 9 918918 mi

C 10 1212 mi

D 10 5656 mi

13. Cynthia has 41212 slices of pizza that she

wants to split evenly among six of her friends. How much pizza does each friend receive?

A 11414

B 34

C 35

D 4112112

14. Using the proper order of operations, what is the solution to the expression below?

2(75 ÷ 5) × 4 ‚ (8 ‚ 3)2

A 35

B 95

C 103

D 110

15. What is the solution to the expression below?

2 + (8 ‚ 4) + 32 ] 6262?

A 36

B 35

C 33

D 24



16. What is the product of 2 and 4?

A 15

B 825

C 12

D 65

17. What is 12 expressed in lowest terms? 60

A 18

B 16

C 15

D 14

18. c + 21212

Which situation could be described by the expression above?

A Lia jogged c miles yesterday, and 21212 miles farther today.

B Lia jogged c miles yesterday, and 21212 miles fewer today.

C Lia jogged 21212 miles yesterday, and c

miles fewer today.

D Lia jogged 21212 miles yesterday, and c

times as far today.

19. Samantha baked a dessert for her class using the recipe shown below.

Samantha used the least amount of which ingredient?

A A

B B

C C

D D


5

5


20. The length of a room is 5.048 × 102 cm. Which number is equivalent to this length?

A 0.005048 cm

B 0.05048 cm

C 504.8 cm

D 504,800 cm

21. The sun is 93,000,000 miles from the earth. Express this in proper scientific notation.

A 9.3 × 107 mi

B 93 × 107 mi

C 9.3 × 10-8 mi

D 9.3 × 10-7 mi


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22. Corrine has a dog whose rectangular cage is 32

525 ft long and 4 710

710 ft wide. What

is the perimeter of the dog cage?

A 16 1515 ft

B 15 2727 ft

C 11 1212 ft

D 8 110110 ft

23. The community pool is 4/7 full. There are currently 24,000 gallons in the pool. How many gallons must be added to fill the pool?

A 14,000 gallons

B 15,000 gallons

C 17,000 gallons

D 18,000 gallons

24. At the spring concert the winner of the dance contest was sitting in the chair numbered with the least common multiple of 15, 30, and 12. Which of the following is the number of the chair?

A 60

B 45

C 120

D 90

25. Which decimal is greater than 4545?

A 0.55

B 0.75

C 0.80

D 0.95

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26. The table below shows the weekly sales from Melissa and Sandra's lemonade stand.

If one fifth of the sales is used to buy more lemons, and each girl gets half of the remaining amount, how much money will each girl receive for the week?

A $75

B $65

C $52

D $26

27. In Mickey's classroom the student with the desk numbered with the greatest common factor of 18, 24, and 36 won a raffle. What is the number on the winning desk?

A 12

B 9

C 6

D 3

28. Mary assembles computers. She purchases hard drives in sets of 12 and monitors in sets of 15. If Mary does not want to have any leftover parts, what is the smallest number of monitors and hard drives she can buy?

A 24

B 36

C 48

D 60

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29. Which of the following fractions is equivalent to 0.25?

A 39

B 93

C 28

D 82

30. Gwen cleaned her whole house in 3 hours. She has 6 rooms in her house and each room took the same amount of time to clean. How long did it take her to clean one room?

A 15 minutes

B 30 minutes

C 60 minutes

D 45 minutes

31. Wanda walks to school 4 days a week. The walk to school takes 10 minutes and the walk home takes 13 minutes. How much time does it take Wanda to walk to school and home each week?

A 32 minutes

B 1 hour and 2 minutes

C 1 hour and 12 minutes

D 1 hour and 32 minutes

32. After school, Marcello wants to meet his friend at the mall for 1 12

12 hours. He

usually eats dinner for 1 hour and does about 1 34

34 hours worth of homework. He

will also read and watch television for 1 hour. If he has to be in bed by 9:30 P.M., what time can Marcello meet his friend?

A 3:45 P.M.

B 4:00 P.M.

C 4:15 P.M.

D 4:25 P.M.

33. Which of the following is in order from least to greatest?

A 2 , 0.65, 1 , 0.40 3 2

B 0.40, 0.65, 1 , 2 2 3

C 0.40, 1 , 0.65, 2 , 2 3

D 0.65, 2 , 0.40, 1 , 3 2

34. What is the greatest common factor of 56 and 72?

A 4,032

B 16

C 8

D 4

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35. Bronson made a factor tree for 144 and found that the prime factorization was 2 ] 3 ] 2 ] 2 ] 3 ] 2. Which of the following correctly represents the prime factorization of 144 using exponents?

A 26

B 24 ] 32

C 23 ] 33

D 22 ] 34

36. How do 0.458 and 0.498 relate to each other?

A 0.458 is three thousandths less than 0.498

B 0.458 is greater than 0.498

C 0.458 is less than 0.498

D 0.458 is three tenths less than 0.498

37. What is the relationship between 1.50 and 3.60?

A 3.60 is 2 greater than 1.50

B 1.50 is 2 and one hundredth less than 3.60

C 1.50 is 2 and one tenth less than 3.60

D 3.60 is 2 and one thousandth greater than 1.50

38. Using exponents, how would the following expression be simplified?

2 × 2 × 2 × 3 × 3 × 4 × 4

A 22 × 32 × 42

B 23 × 32 × 43

C 23 × 32 × 42

D 22 × 33 × 42

39. Charlie builds a tree-house with his dad that is 25 ft long and 30 ft wide. What is the area of the tree-house?

A 65 ft2

B 110 ft2

C 150 ft2

D 750 ft2

40. A soccer team has $90.00 to buy soccer balls. If one soccer ball costs $15.60, what is the greatest number of soccer balls the team can buy?

A 4

B 5

C 6

D 7

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41. Javier bought 9 pounds of ground beef. He saved $8.37 by using a store coupon. How much did he save per pound of ground beef?

A $0.89

B $0.93

C $1.08

D $75.33

42. Veronica can type 28 words per minute. At this rate, how many words can Veronica type in 5.5 minutes?

A 154

B 157

C 159

D 162

43. Maurice talked on the telephone to two friends. He talked to Sherry for 14

14 hour,

and to Gabriel for 1313 hour. How much

time did Maurice spend on the telephone?

A 1 hour 6

B 2 hour 7

C 5 hour12

D 7 hour12

44. Hector can throw a ball 503535 feet. Lee

can throw the same ball 481313 feet. How

much farther can Hector throw the ball than Lee?

A 2215215 feet

B 2415415 feet

C 23535 feet

D 24545 feet

45. Which of the following numbers has a value between 0 and 1?

A 1.001

B 1110

C 4 3

D 8 9

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46. Last Saturday, a store owner gave customers discount coupons to use toward future purchases. The number of coupons the customer received was based on the total amount the customer spent in the store that day, as shown below.

If the number of coupons continued to increase by one for each multiple of $10.00 spent, how many coupons should a customer who spent a total of $142.79 have received?

A 6

B 10

C 14

D 15

47. Which pair of operations will make the equation below true when inserted into the blank spaces in the order shown?

2310310 _____ 1.5 _____ 2 = 1.8

A - and +

B × and +

C + and -

D × and -

48. Cathleen must use the order of operations to evaluate the following expression.

24 + (16 - 3 × 2) 3

What should be the last step Cathleen performs if she uses the correct order of operations?

A 21 × 2

B 8 × 10

C 8 + 10

D 8 + 26

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49. Nan lives 131212 miles from the airport.

Felipe lives 61414 miles from the airport.

How many more miles does Nan live from the airport than Felipe?

A 71818

B 71616

C 71414

D 71212

50. Paulie multiplies two numbers whose product is 1. If one of the numbers is 2, what is the other number?

A 21

B 12

C 1

D 0

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