Free Printable 6TH GRADE MATH DCA REVIEW

1.

What is the missing value in the table?

a)

11

b)

24

c)

8

d)

9

2.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

3.

5⁴

a)

20

b)

625

c)

265

d)

24

4.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

5.

What is the solution to the equation
x − 6 = 3?

a)

3

b)

9

c)

18

6.

What is the value of s in the equation
s − 3.84 = 7.62?

a)

3.78

b)

4.22

c)

10.46

d)

11.46

7.

Which expression is the same as 9 more than 6 times a number?

a)

6n + 9

b)

9n + 6

c)

6 + n + 9

d)

6n x 9

8.

Ms. Taylor is knitting socks. It takes her $\frac{1}{4}$ hour to knit one pair of socks. She has a meeting to go to in 3 $\frac{1}{2}$ hours. How many pairs of socks can she knit before her meeting?

a)

28 pairs of socks

b)

14 pairs of socks

c)

10 pairs of socks

d)

$\frac{7}{8}$ pairs of socks

9.

Alex bought $9\ \frac{2}{3}$ pounds of hamburger meat for a cookout. He plans to make $\frac{1}{3}$ pound hamburgers. What is the maximum number of $\frac{1}{3}$ pound hamburgers Alex can make?

a)

29 burgers

b)

27 burgers

c)

5 burgers

d)

3 burgers

10.

$7,896\div16\ =?$

a)

494

b)

493.5

c)

493

d)

492.5

11.

What is 1.34 multiplied by 0.32 when rounded to the nearest hundredth?

a)

0.42

b)

0.428

c)

0.429

d)

0.43

12.

Which integer represents this situation? You hike 100 feet down a mountain.

a)

100

b)

-100

c)

10

d)

-10

13.

What is the opposite number of -6

a)

|-6|

b)

6

c)

|6|

d)

-6

14.

Order the integers from least to greatest. 4, –4, –2, 2, –8

a)

4,-4,-2,2,-8

b)

4, 2, -2, -4, -8

c)

-8, -4, -2, 2, 4

d)

8, 2, -24, -4

15.

Rewrite this expression using the distributive property: 24 - 16

a)

4 ( 6 + 4)

b)

8 ( 3 - 16)

c)

8 ( 2 - 1)

d)

8 ( 3 - 2)

16.

What is the least common multiple (LCM) of 2 and 3?

a)

6

b)

8

c)

20

d)

10

17.

Find the Greatest Common Factor (GCF) OF 32 and 64.

a)

1

b)

2

c)

4

d)

32

18.

A graph is ______________when most of the data points are clustered near high values.

a)

skewed left

b)

skewed right

c)

symmetrical

d)

peak

19.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

20.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

21.

What range has the most values?

a)

50-55

b)

55-60

c)

70-75

d)

100

22.

21. How many students are represented by the histogram?

a)

Cannot be determined

b)

9

c)

31

d)

35

23.

Which interval has 4 students?

a)

56-59

b)

60-63

c)

60-67

d)

48-51

24.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

25.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

26.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

27.

What is the IQR of the following Data Set:

1, 3, 4, 5, 5, 7, 9

a)

Q1: 3

Q2: 4

Q3: 6

IQR: 6 - 3 = 3

b)

Q1:3.5

Q2: 5

Q3: 8

IQR: 8 - 3.5 = 4.5

c)

Q1: 3

Q2: 5

Q3: 7

IQR: 7 - 3 = 4

28.

What is the IQR of the following Data Set:

32, 35, 35, 36, 39, 40, 44, 48, 49

a)

Q1: 35

Q2: 39

Q3: 46

IQR: 46 - 35 = 11

b)

Q1: 35

Q2: 39

Q3: 44

IQR: 44 - 35 = 9

c)

Q1: 35

Q2: 39

Q3: 48

IQR: 48 - 35 = 13

d)

Q1: 35

Q2: 39

Q3: 46

IQR: 39 - 35 = 4

29.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

30.

What is the median?

a)

62

b)

58

c)

66

d)

60

31.

Which box and whisker plot has the smallest lower quartile (Q1)?

a)

Top plot

b)

Bottom plot

32.

Which best represents the Interquartile Range

a)

15

b)

93

c)

85

d)

78

33.

Which expression is not equivalent to 18r + 36q?

a)

9(2r + 4q)

b)

36q + 18r

c)

6(6q + 3r)

d)

18(r + 2)

34.

Write
4p - 7 + 6p + 10
in simplest form.

a)

-2p + 3

b)

10p + 3

c)

10p - 17

d)

10p - 3

35.

Which expression is equivalent to 4(x - 6y)

a)

24xy

b)

-24xy

c)

4x + 24y

d)

4x - 24y

36.

Which of the following describes the number 6 in the equation 6z=12

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

37.

What is the value of the expression 2(3n-15) when n=14?

a)

27

b)

54

c)

69

d)

99

38.

Use the distributive property to factor and rewrite the expression 20 + 28

a)

5(4 x 5)

b)

4(5 x 7)

c)

4(5 + 7)

d)

4(5 - 7)

39.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

4

d)

8.75

40.

Write an equation:

Katelyn has 4 boxes of cookies. Every day she goes to the store and buys 2 more. Let x represent amount of days and let y represent the number of boxes Katelyn has.

a)

y=4x-2

b)

y=2x+4

c)

y=4x+2

d)

y=2x-4

41.

Which expression is equivalent to 3x + 5 + 7x + 2?

a)

10x + 7

b)

17x

c)

17

d)

15x + 2

42.

Simplify:

14 - 8 + 4 ⋅ 2³

a)

60

b)

38

c)

30

d)

12

43.

Six more than some number equals 52

a)

6 + x = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

44.

20 = t + 7

a)

27

b)

13

c)

5

d)

12

45.

14³

a)

967

b)

1,744

c)

2,744

46.

3^{2 +}5³

a)

321

b)

134

c)

132

47.

a)

q≤46

b)

q<46

c)

q≥46

d)

q<46

48.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

49.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

50.

$21>12+x$

a)

$32>x$

b)

$x<9$

c)

$9>x$

d)

$x<32$

51.

$10y<60$

a)

$y>600$

b)

$y<600$

c)

$y>6$

d)

$y<6$

52.

Solve 4t + 3.5 = 12.5

a)

t = 2

b)

t = 2.25

c)

t = 9

d)

t = 8

53.

How many terms are in the following expression?

x²+7x-13

a)

1

b)

2

c)

3

d)

6

54.

Which expression is equivalent to 15x + 10 - 6x - 1?

a)

9x + 9

b)

18x

c)

15x - 3

d)

9x + 11

55.

Find the area of this parallelogram

a)

12cm²

b)

35cm²

c)

17.5cm²

d)

30cm²

56.

Find the area of this parallelogram

a)

64m²

b)

80m²

c)

32m²

d)

64cm²

57.

Find the area of this parallelogram

a)

38.5cm²

b)

63cm²

c)

99cm²

d)

77cm²

58.

What is the area of the triangle shown?

a)

44.4 mm²

b)

8.5 mm²

c)

8.88 mm²

d)

17.76 mm²

59.

What is the area?
(A=hb÷2)

a)

12cm²

b)

14

c)

14cm²

d)

145

60.

Find the area.

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

61.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

62.

FInd the Surface area of the shape below?

a)

258 m²

b)

268 m²

c)

248 m²

d)

278 m²

63.

Find the area of a parallelogram with a base of 66 ft. and a height of 21 ft.

a)

1386 ft

b)

1638 ft²

c)

1836 ft²

d)

1386 ft²

64.

Find the area of a parallelogram with a base of 3.1 ft. and a height of 8 ft.

a)

248 ft²

b)

24.8 ft²

c)

2.48 ft²

d)

2480 ft²

65.

Find the area of a parallelogram with a base of 66 ft. and a height of 21 ft.

a)

1386 ft

b)

1638 ft²

c)

1836 ft²

d)

1386 ft²

66.

Find the area of a parallelogram with a base of 30 m and a height of 25 m

a)

750 m²

b)

375 m²

c)

705 m²

d)

110 m²

67.

Find the area

a)

430 in²

b)

215 in²

c)

41.5 in²

d)

1.5 in²

68.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

69.

Find the volume

a)

48 cubic inches

b)

17 cubic inches

c)

18 cubic inches

d)

144 cubic inches

70.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

71.

a)

46.2 ft²

b)

92.4 ft²

c)

46.2 ft

d)

92.4 ft

72.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

73.

Determine which statement or statements are true.

texts sent = 2 , calls made = 6

A. For every 6 texts sent there were 2 calls made

B. For every 6 calls made there were 2 texts sent

C. The ratio of calls made to texts sent was 2:6

D. The ratio of texts sent to calls made was 6:2

a)

A and B

b)

B

c)

A and C

d)

C and D

74.

What is the volume of the cereal box?

a)

23 in³

b)

97 in³

c)

132 in³

d)

288 in³

75.

Calculate the Volume.

a)

165 ft³

b)

330 ft³

c)

2,145 ft³

d)

1,072.5 ft³

76.

Jose travelled 70 kilometers in7 days. What is the rate he travelled per day?

a)

Jose travels 9 kilometers per day.

b)

Jose travels 7 kilometers per day.

c)

Jose travels 10 kilometers per day.

d)

Jose travels $\frac{1}{10}$ of a kilometer per day.

77.

Dax made $10 dollars when a group of 2 people entered his museum. This is a rate of ___ dollar per person.

a)

$12 per person

b)

$8 per person

c)

$5 per person

d)

$4 per person

78.

What is the rule?

a)

Add 1

b)

Subtract 1

c)

Divide by 1

d)

Multiply by 1

79.

Find the missing value (number).

a)

56

b)

40

c)

38

d)

48

80.

Morgan has 16 liters of milk. About how many gallons of milk does Morgan have? (1 gallon ≈ 3.8 liters)

a)

64

b)

60

c)

8

d)

4

81.

There are 16 ounces in one pound. How many ounces are in one ton?

a)

12,000

b)

22,000

c)

32,000

d)

52,000

82.

a)

A

b)

B

c)

C

d)

D

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

How do you find percent when given the whole

a)

part x 100 divided by percent

b)

part divided by whole

c)

percent x whole

d)

Percent x whole/2

86.

25% of 150 is

a)

37.5

b)

37

c)

75

d)

75.5

87.

5% of x is 30, then x is

a)

150

b)

160

c)

600

d)

60

88.

What is 0.54 as a percent?

a)

45

b)

54

c)

27

d)

21

89.

What is 48% in decimal?

a)

0.12

b)

0.24

c)

0.36

d)

0.48

90.

Calculate 10% of $40

a)

$40

b)

$4

c)

$400

d)

$0.4

91.

A T-shirt costs $50. You get 10% off in the sales. How much do you pay for the T-shirt ?

a)

$5

b)

$15

c)

$45

d)

$35

92.

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

93.

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

a)

1

b)

2

c)

3

d)

4

94.

What integer could represent a loss of 9 pounds?

a)

9

b)

-9

95.

What integer could represent a deposit of $50?

a)

50

b)

- 50

96.

In which quadrant is the following point?
(-3, 12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

97.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

98.

Name the quadrant where POINT A is located.

a)

Quadrant I

b)

Quadrant IV

c)

No Quadrant

d)

Quadrant II

99.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

100.

What is the reflection of D (4, 3) over the y-axis?

a)

D' (3, 4)

b)

D' (-3, -4)

c)

D (-4, 3)

d)

D (-4, -3)

101.

In which quadrant of the coordinate plane will you find...

(-8, -7)

a)

QI

b)

QII

c)

QIII

d)

QIV

6TH GRADE MATH DCA REVIEW

Total questions: 101

Worksheet time: 3hrs 22mins

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