6th Grade Benchmark
Math 6th - Benchmark

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Directions:

Choose the best answer for each question listed below.




1. What is the standard form of 33

9

6

27

15

2. Which of these correctly represents 81,300 in scientific notation?

8.13 x 104

8.13 x 103

8.13 x 102

8.13 x 105

3. What is the Least Common Multiple of 4 and 6

24

12

10

2

4. Use the model to answer the question. Which equation does the shaded model represent?

0.3 x 0.4 = 0.12

0.3 x 0.4 = 12

0.3 x 0.4 = 0.7

0.3 x 0.4 = 1.2

5. Which result is most reasonable for the problem 45 of 100?

80

70

60

50

6. Solve: 3 + (-12) - 4 = _____

-13

11

-11

19

7. Solve: 5 + _____ = 0

-5

0

5

10

8. Point E is located where on the number line below?

2.8

2 13

1 35

2.4

9. Which number is equivalent to 23


.6


.3


.2


.23

10. Which shows the order from least to greatest?

23, 14, .50, .01

23, .01, 14, .50

14, .50, 23, .01

.01, 14, .50, 23

11. Which fraction is equivalent to 40% ?

25

45

4100

4010

12. Marcia purchases apples for $2.76. She purchased 2.4 pounds of apples. What is the cost per pound?

$11.50

$6.63

$1.15

$.036

13. Solve: 62.9 x 3.7= _____

23.273

23, .01, 14 232.73

14, .50, 23 2,327.3

23,273

14. On the graph shown, where is the solution for this equation located?:

Point A

Point B

Point C

Point D

15. Which pie chart represents the solution to the equation:

4 110 - 2 12







16. Which product is equal to 1?

12 x 12

3 x 23

32 x 13

54 x 45

17. What is the prime factorization of 75?

53

155

3 x 52

32 x 5

18. Which ratio identifies pi?







19. Using the formula C = πd, find the circumference of a circle with a 6.5 meter diameter. Round to the nearest tenth. Choose one:

13.5 m

19.5 m

20 m

20.4 m

20. What is the approximate length of this leaf and the explanation of the answer?

52 mm: The leaf is longer than 50 mm, but shorter than 55mm.

58 mm: The leaf is longer than 55 mm, but shorter than 60mm.

62 mm: The leaf is longer than 60 mm, but shorter than 65mm.

65 mm: The leaf is longer than 60 mm, but shorter than 70mm.

21. Which measure below is nearest to a kilometer?

Yard

Mile

Inch

Foot

22. You are the company President, and you want to prove to your stockholders that sales increased dramatically between November and December. All four graphs contain the same information. Which graph would you use?

a.

b.

c.

d.

23. Carrie and David are playing a game with a number cube with faces numbered 1 through 6. Whoever rolls the higher number wins. If the players roll the same number, it is a tie. David rolls a 4. What is the probability that Carrie will win?

16

26

36

46

24. You want to see how many times you will roll a 5 with a number cube. You roll the cube 50 times and you tally in the table below. What is the experimental probability that you will roll a 5?

15

16

4050

1040

25. Which table best represents the equation y = 2x ?

a.

b.

c.

d.

26. Which expression represents the change in the number of students wearing school colors each day. n = the number of students wearing colors on the previous day

13 - n

13 + n

n * 13

n - 13

27. What is another way to write 4 ^ 3?

43

34

12

1

28. Evaluate 33B - 40 when B=11

-37

-18

290

323

29. Solve for x: 3x = 15

5

12

18

45

30. Rectangle PQRS is shown on the graph. If Rectangle PQRS rotates 180 degrees around Point P, what are the new coordinates of point R?

a. (2,0)

b. (-1,0)

c. (0,-1)

d. (0,2)

31. Which number is on the midpoint of the line segment?

0

2

3

4

32. What does C represent in the drawing below?

radius

diameter

circumference

center

33. What is the value of x in this triangle?

48o

86o

106o

76o

34. Which angle is vertical to angle 1 ?

8

7

3

2

35. What is the measure of EBC if ABD is equal to 58o ?

a. 32o

b. 90o

c. 122o

d. 148o

36. What is the surface area of the cylinder? (Use π = 3.14)

a. 96 m2

b. 134 m2

c. 144 m2

d. 153 m2

37. Which scatter plot correctly displays the data from the table?

a.

b.

c.

d.

38. What is the area of the circle?

18.08642

72.34562

4.5216m2

15.0722