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Worksheets

Grade 6 DOK I MCA Samplers

Total questions: 79

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
a)

M

b)

N

c)

O

d)

P

2.

A number sentence is shown.

0.007 > ___

Which number makes the number sentence true?

a)

0.06

b)

0.006

c)

0.08

d)

0.008

3.

Dana has 3 pieces of wood trim for her hallway. She needs to hang them in order from shortest to longest. Which choice shows the lengths in order from shortest to longest?

a)

b)

0.006

c)

0.08

d)

0.008

4.

A hall in a school had 100 lockers. Twenty-five of the lockers were new. What percent of the lockers were new?

a)

0.04%

b)

25%

c)

0.25%

d)

40%

5.



(a)  

6.

Dave earns $10 each time he mows the lawn. His goal is to earn $100. Dave mows the lawn 5 times. What percent of his goal has Dave earned?

a)

5%

b)

10%

c)

50%

d)

100%

7.

There are 100 people sitting in a movie theater. Twenty of them are wearing baseball caps. What percent of the people are wearing baseball caps?

a)

0.20%

b)

2.0%

c)

20%

d)

200%

8.

Elsa got 90% of the questions correct on a test. Which statement explains her score?

a)

Elsa got 10 out of 100 questions wrong.

b)

Elsa got 9 out of 100 questions correct.

c)

Elsa got 90 out of 100 questions wrong.

d)

Elsa got 100 out of 100 questions correct.

9.

A customer gives an 18% tip to a server. What is this percent written as a decimal?

NO CALCULATOR

a)

0.018

b)

0.18

c)

1.8

d)

18

10.

In an apartment building, 3/10 of the apartments are not rented. What percent of the apartments is rented?

NO CALCULATOR

a)

0.7%

b)

7.0%

c)

70%

d)

700%

11.

What is 3.5% written in decimal form?

NO CALCULATOR

a)

0.0035

b)

0.035

c)

0.35

d)

3.5

12.

Roberto made 75% of his free throws. Which fraction is equivalent to 75%?

a)

3/25

b)

8/12

c)

12/16

d)

7/5

13.

Which factor tree shows the prime factorization of 648?

a)

b)

c)

d)

14.

What is the prime factorization of 72?

a)

2 • 2 • 2 • 2 • 3 • 3

b)

2 • 2 • 2 • 2 • 3 • 3 • 3

c)

2 • 2 • 2 • 3 •3

d)

2 • 2 • 3 • 3 • 3

15.

What is the least common multiple of 5, 12, and 15?

16.

What is the greatest common factor of 10, 12, and 16?

NO CALCULATOR

a)

2

b)

4

c)

8

d)

60

17.

What is the value of 43?4^3?

NO CALCULATOR

18.

Which mixed number is equivalent to 17/6?

NO CALCULATOR

a)

1 761\ \frac{7}{6}

b)

2 562\ \frac{5}{6}

c)

3 163\ \frac{1}{6}

d)

11 1611\ \frac{1}{6}

19.

Which expression is equivalent to 2×2×2×5?

NO CALCULATOR

a)

252^5

b)

22×52^2\times5

c)

23×52^3\times5

d)

32×53^2\times5

20.

Which expression is equivalent to 2×2×2×2×2×2?

NO CALCULATOR

a)

2 • 6

b)

6 • 4

c)

626^2

d)

262^6

21.

Kyle reads a 360-page book in 8 hours. What is the average number of pages Kyle reads per hour?

22.

Nina bounces a ball 300 times in 6 minutes. How many times does she bounce the ball per minute?

a)

30

b)

50

c)

1,800

d)

3,000

23.

Robby grew 6 inches in 8 months. What is his average growth rate per month?

NO CALCULATOR

a)

1/4 inch

b)

1/3 inch

c)

3/4 inch

d)

4/3 inch

24.

Jane washed 25 windows in 2 3/4 hours. How many windows did she wash per hour?

a)

7

b)

9

c)

11

d)

15

25.

About 1 in 5 people need glasses. The population of Monroeville is 595. About how many people in Monroeville need glasses?

a)

20

b)

30

c)

119

d)

149

26.

The ratio of the number of students to the number of parking spaces on a college campus is 4:1. Which expression could be used to find the number of parking spaces on the campus if there are 2,240 students?

a)

2240 • 3

b)

2240 • 4

c)

2240 ÷ 3

d)

2240 ÷ 4

27.

A sloth can travel about 15 feet in 1 minute. At this speed, about how many feet can a sloth travel in 5 minutes?

a)

3

b)

60

c)

75

d)

90

28.

Multiply

7.2 • 2.1

NO CALCULATOR

29.

How is 37÷85\frac{3}{7}\div\frac{8}{5} written as a multiplication problem?

Drag the number to its box

30.

Divide

58÷83\frac{5}{8}\div\frac{8}{3}

NO CALCULATOR

31.

What is the value of 0.825×18?

NO CALCULATOR

32.

What is 83÷4\frac{8}{3}\div4 ?

NO CALCULATOR

33.

What is 2/5 of 15/8?

NO CALCULATOR

a)

16/75

b)

6/20

c)

30/40

d)

59/40

34.

What is 7.5% of 50?

NO CALCULATOR

a)

3.75

b)

6.67

c)

15

d)

37.5

35.

In April, 2.3 inches of rain fell. The amount of rain in May was 150% of the amount of rain in April. How many inches of rain fell in May?

(a)  

36.

Claire found 2 spools of ribbon. One spool had 16.25 yards of ribbon and the other had 22.375 yards of ribbon. What is the total number of yards of ribbon Claire found?

37.

The cost of a taxi ride was shared equally by 5 friends. The total cost was $16.00. What amount did each friend pay?

NO CALCULATOR

a)

$3.01

b)

$3.10

c)

$3.20

d)

$4.00

38.
a)

36.18

b)

37.8

c)

39.69

d)

50.4

39.

Tom cut a piece of string into 6 pieces that were each 8.8 centimeters long. What was the length of the string before Tom cut it?

NO CALCULATOR

a)

46.2

b)

48

c)

48.48

d)

52.8

40.

When Hans multiplies 4.6 by 8.3, his answer is 3818 before he puts in the decimal point. What is the final answer?

NO CALCULATOR

a)

3.818

b)

38.18

c)

381.8

d)

3813

41.

Simplify.

NO CALCULATOR

42.

Nolan earns $20 each time he mows a lawn. He pays $50 to repair his lawn mower. He creates an equation to help him determine the amount of money he earns mowing lawns. Which piece of information could Nolan represent in his equation using a variable?

a)

A. The amount he earns for mowing each lawn

b)

B. The amount he pays for lawn mower repairs

c)

C. The number of days in a week

d)

D. The number of lawns he mows

43.

Which table shows values for the equation y=3x+2?

a)

b)

c)

d)

44.
a)

b)

c)

d)

45.

What is the first step when simplifying the expression 3.7+20×3−4+6.3?

a)

3.7 + 20

b)

20 • 3

c)

3 - 4

d)

4 + 6.3

46.

Simplify.

650−( 325+190+75 )+2 • 400−15

a)

830

b)

845

c)

1,375

d)

1,495

47.

Simplify.

12−4•2+8•2

a)

20

b)

32

c)

48

d)

160

48.

Solve for x.

3x=6+9

(a)  

49.

An expression is shown.

6÷3×4−2( 7+9 )+5

Which operation should be performed first when simplifying the expression?

a)

3 • 4

b)

4 - 2

c)

7 + 9

d)

9 + 5

50.

Solve for b.

3b = 12

(a)  

51.

The equation 24b = t is used to find b, the cost of 1 bottle of water when sold in a 24‐pack case with a case price of t dollars. What is the cost of 1 bottle of water when the case price is $7.50?

a)

$0.31

b)

$1.80

c)

$3.20

d)

$16.50

52.

Daniel has hats and shirts.

  • He has 1 black hat, 1 tan hat, and 1 blue hat.

  • He has 1 white shirt, 1 green shirt, and 1 red shirt.

How many different outcomes are possible if Daniel chooses 1 hat and 1 shirt?

53.

A teacher put 1 pen and 1 index card on each student’s desk. Which tree diagram could be used to find all possible color combinations of a pen and an index card?

a)

b)

c)

d)

54.

Ted has 2 cans of tomato soup, 1 can of chicken soup, and 1 can of vegetable soup. He picks 1 can without looking. What is the probability he picks a can of tomato soup?

a)

1/4

b)

1/3

c)

2/4

d)

3/4

55.

The tree diagram shows all possible combinations of toast that Rex can eat for breakfast. How many different combinations are possible?

a)

3

b)

7

c)

12

d)

21

56.

Andre has a spinner with 3 equal sections labeled 1–3 and a game piece with 9 sides labeled 1–9. He spins the spinner and rolls the game piece and multiplies the results together. Which is the greatest outcome that is possible?

a)

12

b)

14

c)

27

d)

81

57.

The area of the base of a triangular prism is 24 cm224\ cm^2 . The height of the prism is 10 cm. What is the volume of the prism?

a)

34

b)

120

c)

240

d)

480

58.

A block of ice shaped like a cube has a volume of 125 cubic units. What is the length of 1 edge of the block?

a)

5

b)

11

c)

25

d)

42

59.

The surface area of a cube is 24 square inches. What is the length of 1 edge of the box?

a)

2

b)

4

c)

6

d)

8

60.

Jeri has a rectangular sandbox that is 8.5 feet long and 4.5 feet wide. What is the area of the sandbox?

a)

13

b)

26

c)

38.25

d)

72.25

61.
a)

16

b)

17

c)

20

d)

30

62.
a)

8

b)

9

c)

10

d)

15

63.

A family just bought a new sofa. Which measurement is the best estimate of the length of the sofa?

a)

26 inches

b)

76 inches

c)

226 inches

d)

376 inches

64.

Which measurement could be the width of a piece of paper?

a)

9 feet

b)

9 inches

c)

9 miles

d)

9 yards

65.

Which measurement units are used for each type of measurement?

Categorize the following

Centimeter

Kilogram

Meter

Pint

Gram

Liter

Yard

Pound

Weight/Mass
Length
Capacity
66.

The main rotating blade on top of a helicopter makes about 450 rotations per minute. How many rotations does the blade make per second?

(a)  

67.

Cathy needs 24 ounces of nuts for a cooking class. How many pounds of nuts does Cathy need?

a)

1 pound

b)

1.5 pounds

c)

2 pounds

d)

2.5 pounds

68.

What is the sum of the angles in a hexagon?

a)

600º

b)

720º

c)

1,080º

d)

2,160º

69.
a)

J and N

b)

K and L

c)

K and M

d)

L and N

70.
a)

12º

b)

22º

c)

78º

d)

102º

71.
a)

b)

c)

d)

72.
a)

22º

b)

112º

c)

158º

d)

292º

73.
a)

35º

b)

45º

c)

55º

d)

135º

74.
a)

Angle M and angle N are supplementary angles.

b)

Angle M and angle N are vertical angles.

c)

Angle M and angle N are obtuse angles.

d)

Angle M and angle N are complementary angles.

75.

Marco has a triangle with 2 angles that are each 65°. What is the measure of the third angle?

a)

25º

b)

50º

c)

65º

d)

115º

76.
77.
78.
a)

45º

b)

90º

c)

135º

d)

180º

79.
a)

25º

b)

65º

c)

75º

d)

115º