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Grade 6 Final Revision Sheet

Total questions: 158

Worksheet time: 11hrs 33mins

Name
Class
Date
1.
In the expression 25, what is the BASE?
a)
2
b)
5
2.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

34

c)

81

d)

32

3.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
4.

181 =

a)

18

b)

0

c)

324

d)

1

5.

What is equivalent to 64?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

46

6.
Write the product as a power:                9 x 9 x 9
a)
729
b)
27
c)
93
d)
39
7.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

8.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

53

d)

35

e)

125

9.

In the exponent 34, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

10.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
11.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
12.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
13.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
14.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
15.
What is 5^3?
a)
50
b)
75
c)
25
d)
125
16.
Evaluate.
25
a)
10
b)
25
c)
32
d)
Answer Not Given
17.
Solve.
(1/2)3
a)
1/8
b)
3/6
c)
3/8
d)
Answer Not Given
18.
103 =
a)
1,000,000
b)
1000
c)
10
d)
1021
19.

This number tells how many times to take the base as a factor

a)

base

b)

exponent

c)

perfect square

d)

( )

20.

An exponent of 3 is also called

a)

prime

b)

perfect

c)

cubed

d)

squared

21.
In the expression 25, what is the EXPONENT?
a)
5
b)
2
22.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

23.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

24.

The product of a number and seven.

(a)  

25.

The quotient of a number and thirteen.

(a)  

26.

Two-thirds less than a number.

(a)  

27.

A number tripled.

(a)  

28.

The difference of twenty-seven and a number.

(a)  

29.

The sum of five and a number.

(a)  

30.

A number divided by eight.

(a)  

31.

Four-fifths of a number.

(a)  

32.

One half plus a number

(a)  

33.

The quotient of fifteen and a number.

(a)  

34.

Write an algebraic expression to represent the situation.

Olivia has 15 videogames downloaded to her device. Her friend has "x" more videogames than her. How many songs does her friend have?

(a)  

35.

Write an algebraic expression to represent the situation.

Trevor has "x" tickets from a local arcade. His brother has 15 times more tickets than Trevor. How many tickets does his brother have?

(a)  

36.

Write an algebraic expression to represent the situation.

James earned 60 points while playing a card game. Arthur earned "x" fewer points than James. How many points did Arthur earn?

(a)  

37.

Write an algebraic expression to represent the situation.

Javier has 28 books and wants to put an equal number of books on "x" bookshelves. How many books go on each shelf?

(a)  

38.

Write an algebraic expression to represent the situation.

Francesca has a plant that measures "h" inches tall last week. This week, the plant is 12 inches tall. What is the difference between the plant this week and last week?

(a)  

39.

Write an algebraic expression to represent the situation.

Valerie had "x" dollars and spent $5 on lunch.

(a)  

40.

Write an algebraic expression to represent the situation.

In a class of 18 students, each student earns "x" amount of prizes.

(a)  

41.

Write an algebraic expression to represent the situation.

Jaime has 150 stickers that she wants to split evenly among "y" friends.

(a)  

42.

Write an algebraic expression to represent the situation.

Joshua had "k" dollars and earned $19 more for mowing his neighbor's lawn.

(a)  

43.

Write an algebraic expression to represent the situation.

Tony has to complete 62 hours of community service and has completed "h" hours for helping at the food pantry.

(a)  

44.

Evaluate the expression if

a = 3, b = 4, c = 12, and d = 1

c - d

(a)  

45.

Evaluate the expression if

w = 3, x = 2, y = 5, z = 10

y - 1

(a)  

46.

Evaluate 10x2     when     x=310x-2\ \ \ \ \ when\ \ \ \ \ x=3  

a)

2424  

b)

1010

c)

88  

d)

2828  

47.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
48.

If a = 2, b = 1 and c = 5 find:

a + b + c

a)

7

b)

9

c)

10

d)

8

49.

If a = 2 and b = -3 find:

4a - 2b

a)

14

b)

2

c)

-2

d)

-14

50.
a- b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
51.

Evaluate the Expression if p = 7

17 - p

a)

24

b)

-10

c)

10

d)

-7

52.

If a = 2 and b = -3 find:

2a + 3b

a)

10

b)

-2

c)

2

d)

22

53.

Evaluate the expression if

a = 3, b = 4, c = 12, and d = 1

b - a

a)

1

b)

8

c)

11

d)

2

54.

If a = 2 find:

a + 3

a)

5

b)

6

c)

23

d)

1

55.

Evaluate the expression if

w = 3, x = 2, y = 5, z = 10

10 + z

(a)  

56.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
57.

If a = 2 and b = -3 find:

2a + 3b

a)

10

b)

-5

c)

2

d)

22

58.

Evaluate the expression 16 + 36 ÷ b. For b = 4

a)

56

b)

25

c)

24

d)

13

59.

TRUE or FALSE?


A FACTOR is greater than the number you are factoring

a)

TRUE

b)

FALSE

60.

Find ALL FACTORS of 24

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

61.

Choose all the PRIME numbers

a)

1

b)

2

c)

3

d)

5

62.

Choose a COMPOSITE number

a)

1

b)

2

c)

3

d)

12

63.

A COMPOSITE number has:-

a)

Exactly 2 factors

b)

Less than 2 factors

c)

More than 2 factors

d)

No factors

64.

List the first (4) multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 24, 32

65.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
66.
Which number is a factor of 24
a)
9
b)
7
c)
11
d)
12
67.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
68.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
69.
Which number is NOT prime?
a)
3
b)
7
c)
17
d)
21
70.
Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
71.

Select all of the multiples of 8.

a)

2

b)

8

c)

32

d)

4

72.

Select all of the prime numbers.

a)

3

b)

9

c)

29

d)

2

73.

Which are factors of 20?

a)

2,10,5,4,1,20

b)

3,5,7,9

c)

40,80,100

d)

15,25,35

74.

Multiples of 4

a)

4,8,12,16,20

b)

2,4,6,8

c)

1,2

d)

3,6,9

75.

Only has 1 Factor Pair and can only be divided by 1 and itself

a)

Composite Number

b)

Prime Number

c)

Factor

d)

Multiple

76.
What are the next three multiples?6, 12, 18, ___ ,___ ,___
a)
24, 30, 34
b)
24, 36, 42
c)
24, 30, 36
d)
22, 28, 34
77.

Which are factors of 20?

a)

2,10,5,4,1,20

b)

3,5,7,9

c)

40,80,100

d)

15,25,35

78.

Which is a multiple of 3

a)

15

b)

4

c)

1

d)

5

79.

What is the LCM (Least Common Multiple) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

80.

What is the GCF (Greatest Common Factor) of 12 and 6?

a)

1

b)

6

c)

2

d)

3

81.

Find the LCM (Least Common Multiple) of 3 and 5.

a)

15

b)

20

c)

30

d)

33

82.

Find the GCF (Greatest Common Factor) of 50 and 40.

a)

5

b)

2

c)

10

d)

8

83.

What is the LCM (Least Common Multiple) of 8 and 12?

a)

48

b)

24

c)

76

d)

96

84.

What is the GCF (Greatest Common Factor) of 12 and 30?

a)

4

b)

2

c)

5

d)

6

85.

Find the LCM (Least Common Multiple) of 18 and 24.

a)

6

b)

72

c)

24

d)

5

86.

Find the GCF (Greatest Common Factor) of 64 and 144.

a)

8

b)

6

c)

16

d)

2

87.

What is the LCM (Least Common Multiple) of 8 and 5?

a)

50

b)

40

c)

5

d)

8

88.

What is the GCF (Greatest Common Factor) of 25 and 15?

a)

5

b)

10

c)

15

d)

20

89.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
90.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
91.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

92.

Find the prime factorization of 56.

a)

2x2x2x7

b)

2x28

c)

3x3x7

93.

The prime factors of 70 are?

a)

3 x 5 x 7

b)

5 x 7 x 7

c)

2 x 5 x 7

94.

Solve the following using PEMDAS


3 x 9 + 7

(a)  

95.

Solve the following using PEMDAS


(67 - 18) ÷ 7 x 3

(a)  

96.
5 x (7 -2) + (8+1)
a)
70
b)
77
c)
42
d)
34
97.
6+(42-1)
a)
21
b)
13
c)
99
d)
22
98.
4-1+5x22
a)
23
b)
16
c)
32
d)
-7
99.

Simplify the expression: 3(x + 2)

a)

3x + 6

b)

3x + 2

c)

3x - 6

d)

3x + 8

100.

Simplify the expression: 2(3x - 4)

a)

6x - 12

b)

6x - 4

c)

6x + 8

d)

6x - 8

101.

Simplify the expression: -4(2x + 5)

a)

-8x - 20

b)

8x - 20

c)

-8x + 20

d)

-8x + 5

102.

Simplify the expression: 3(2x + 1) + 2(3x - 2)

a)

12x + 1

b)

6x + 2

c)

9x - 2

d)

12x - 1

103.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
104.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
105.
4(k + 7)
a)
4k + 28
b)
4k - 28
c)
-4k + 28
d)
4k - 28
106.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
107.
9(2g +  3)
a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
108.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
109.
5(4 + 6)
a)
50
b)
55
c)
56
d)
57
110.
q (4 + 7)
a)
4q + 7q
b)
Q + 7
c)
4s + 7q
d)
4q + 8q
111.
Which of the following is equivalent to 5(2x + 3)?
a)
52x + 53
b)
7x + 10
c)
10x + 15
d)
10x + 3
112.
Distribute: 2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
113.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
114.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
115.
Fill in the blanks:
__(5x + 1) = 10x + 2
a)
2
b)
5
c)
10
d)
x
116.
Fill in the blank:
3x(2y + 1) = __ + 3x
a)
6xy
b)
6x
c)
6y
d)
6x2
117.
6(x + 3y) is equivalent to:
a)
6 + 18y
b)
6x + 18
c)
24xy
d)
6x + 18y
118.
8 x 53 = 8(50+3)
a)
468
b)
424
c)
743
d)
653
119.
y + y + y
a)
2y
b)
12y
c)
6y
d)
3y
120.
4(n +5)
a)
4n - 20
b)
4n + 20
c)
4 + n - 20
d)
4n x 20
121.
12(2y - 3) 
a)
24y x 36
b)
24y + 36
c)
24y - 36
122.

What is the Area of this Parallelogram?

a)

56 cm

b)

32 cm2

c)

56 cm2

d)

19 cm

123.

What would you do to find the Area of this Parallelogram?

a)

Multiply 10 in. times 9 in.

b)

Multiply 15 in. times 10 in.

c)

Multiply 15 in. times 9 in.

124.

What is the area of this Parallelogram?

a)

50 in2

b)

30 in2

c)

60 in2

d)

21 in2

125.

What is the Area of this Parallelogram?

a)

68 cm2

b)

14 cm

c)

48 cm2

d)

56 cm2

126.

What is the Area of this Parallelogram?

a)

300 square units

b)

37 square units

c)

50 square units

d)

20 square units

127.

Which measurement is the height?

a)

5

b)

4

c)

8

d)

32

128.

What is the Area of this Parallelogram?

a)

150 m2

b)

15 m

c)

15 m2

d)

150 m

129.

In this Parallelogram, 15 in. is the...

a)

height

b)

base

c)

area

d)

unnecessary measurement

130.

What is the Height of this Parallelogram?

a)

3

b)

4

c)

5

d)

2

131.

What is the Area of this Parallelogram?

a)

5 units

b)

45 units2

c)

40 units2

d)

8 units

132.
a)
4 km2
b)
16 km2
c)
64 km2
d)
8 km2
133.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
134.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
135.
Area
a)
12 in sq
b)
12 in
c)
24 in sq
d)
6 in sq
136.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
137.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
138.
Find the area of a triangle with a height of 4 mm and a base of 6 mm?
a)
5 mm squared
b)
6 mm squared
c)
12 mm squared
d)
24 mm squared
139.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
140.
Find the area of the figure:
a)
30 ft2
b)
60 ft2
c)
16 ft2
d)
36 ft2
141.
What is the area of a triangle with a base of 10 cm and a height of 14 cm?
a)
24 cm squared
b)
12 cm squared
c)
70 cm squared
d)
140 cm squared
142.
a)
46.2 ft2
b)
92.4 ft2
c)
64.2 ft
d)
92.4 ft
143.
Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.
a)
18 
b)
36
c)
72
d)
40
144.
Find the area of a trapezoid with bases of 12 meters and 6 meters, and a height of 5 meters. 
a)
90
b)
18
c)
45
d)
36
145.
 Find the area of a trapezoid with bases of 17 centimeters and 19 centimeters, and a height of 2 centimeters. 
a)
18
b)
45
c)
32
d)
36
146.
Find the area of a trapezoid with bases of 3 in and 7 in, with a height of 6 in?
a)
60
b)
32
c)
30
d)
36
147.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
148.
Find the area
a)
41
b)
45
c)
44
d)
43
149.
Name that shape.
a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
150.
Find the area of the figure
a)
30 cm2
b)
44 cm2
c)
88 cm2
d)
22 cm2
151.
Find the Area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
152.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
153.
Find the volume of the prism.
a)
585 cm2
b)
585 cm3
c)
27 cm3
d)
27 cm2
154.
Find the volume of the prism.
a)
27 m2
b)
27 m3
c)
10.5 m3
d)
10.5 m2
155.
What is the volume of the box if the box has a length of 30 inches, a width of 12 inches, and a height of 24 inches?
a)
8,640 in2
b)
8,640 in3
c)
66 in3
d)
66 in2
156.
A rectangular plant holder is 8 inches long, 7 ½ inches wide and 5 inches high. How much potting soil can the planter hold?
a)
300 in2
b)
300 in3
c)
20.5 in3
d)
20.5 in2
157.

Which measurement could NOT be used to measure volume?

a)

cm3

b)

cubic inches

c)

m2

d)

mm3

158.

A classroom is 26 feet wide, 32 feet long, and 9 feet high. The volume of the classroom is

a)

67 square feet

b)

67 cubic feet

c)

7488 square feet

d)

7488 cubic feet