Free Printable Revision y7

1.

find LCM and HCF of 90 and 120

(a)

2.

Find the HCF of 40 and 60?

a)

10

b)

20

c)

30

d)

None of the above

3.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

4.

Prime factorization of 240 are . . . .

a)

2³ x 3 x 5

b)

2⁴ x 3 x 5

c)

2⁵ x 3 x 5

d)

2⁶ x 3 x 5

5.

Which shows the prime factorization of 84?

a)

$2\times2\times3\times7$

b)

$2\times2\times3\times3\times7$

c)

$4\times21$

d)

$7\times21$

6.

The Lowest Common Multiple (LCM) of 24 and 60 is:

a)

90

b)

120

c)

30

d)

10

7.

Prime factorization of 240 are . . . .

a)

2³ x 3 x 5

b)

2⁴ x 3 x 5

c)

2⁵ x 3 x 5

d)

2⁶ x 3 x 5

8.

HCF and LCM of 20 and 14 are...

a)

2 dan 140

b)

2 dan 70

c)

3 dan 140

d)

3 dan 70

9.

$5\times7$

a)

Positive

b)

Negative

10.

$5\times\left(-7\right)$

a)

Positive

b)

Negative

11.

$\left(-5\right)\times\left(-7\right)$

a)

Positive

b)

Negative

12.

$5\times7$

a)

Positive

b)

Negative

13.

$5\times\left(-7\right)$

a)

Positive

b)

Negative

14.

$\left(-5\right)\times\left(-7\right)$

a)

Positive

b)

Negative

15.

$\left(-5\right)\times7$

a)

Positive

b)

Negative

16.

Multiplying two negative integers

a)

Positive

b)

Negative

17.

Dividing two negative integers

a)

Positive

b)

Negative

18.

Multiplying one positive and one negative

a)

Positive

b)

Negative

19.

Same sign

a)

Positive

b)

Negative

20.

Different Signs

a)

Positive

b)

Negative

21.

-18 ÷ (-2)

a)

9

b)

-9

c)

-20

d)

10

22.

(-6)(5)

a)

30

b)

-30

23.

-24 ÷ (-8)

a)

32

b)

-3

c)

-16

d)

3

24.

(-8) x (-4) =

a)

-28

b)

28

c)

32

d)

-32

25.

$-20\div5$

a)

-4

b)

4

c)

-100

d)

100

26.

(-1)(-1)(-1)(-2)

a)

2

b)

-2

c)

-5

d)

5

27.

(-2)(-4)(-3)

a)

24

b)

-24

c)

8

d)

-21

28.

(10 × -4) ÷ 5

a)

8

b)

-8

c)

40

d)

-40

29.

(-3 + -7) × (-5) ÷ (-2)

a)

-50

b)

50

c)

25

d)

-25

30.

If there are an odd number of negatives in a problem, the answer is
Example: (-4)(-5)(-2)

a)

Positive

b)

Negative

31.

Even number of negatives in a problem means the answer will be

a)

Positive

b)

Negative

32.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

33.

-9 + (-5)

a)

-14

b)

14

c)

-4

34.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

35.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

36.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

37.

-8 - 8 =

a)

16

b)

0

c)

-16

d)

9

38.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

39.

-4 + 10 + (-2)

a)

-4

b)

4

c)

-16

d)

14

40.

18 - 41

a)

23

b)

-23

c)

59

d)

-59

41.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

42.

Calculate the value of √49

a)

5

b)

6

c)

7

d)

8

43.

Calculate the value of √49

a)

5

b)

6

c)

7

d)

8

44.

Calculate the value of √64

a)

6

b)

7

c)

8

d)

9

45.

Calculate the value of √81

a)

8

b)

9

c)

10

d)

11

46.

Calculate the value of √100

a)

9

b)

10

c)

11

d)

12

47.

Calculate the value of √121

a)

10

b)

11

c)

12

d)

13

48.

Calculate the value of √144

a)

11

b)

12

c)

13

d)

14

49.

Calculate the value of √169

a)

13

b)

14

c)

15

d)

16

50.

Calculate the value of ∛27.

a)

2

b)

3

c)

4

d)

5

51.

Find the value of ∛125.

a)

5

b)

15

c)

20

d)

25

52.

Calculate the value of ∛216.

a)

6

b)

8

c)

9

d)

12

53.

Find the value of √196.

a)

12

b)

13

c)

14

d)

15

54.

Calculate the value of ∛64.

a)

3

b)

4

c)

5

d)

6

55.

If ∛y = 4, what is the value of y?

a)

16

b)

32

c)

48

d)

64

56.

If ∛y = 3, what is the value of y?

a)

9

b)

27

c)

35

d)

45

57.

2⁵÷ 2²

a)

1

b)

2³

c)

2⁷

d)

2¹²

58.

Which number is the base in... $6^5$

a)

6

b)

5

59.

Write 25 using Index notation,

with base 5

a)

$5^2$

b)

$2^5$

c)

5 x 5

d)

2x2x2x2x2

60.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

61.

Which number is the index/power in... $6^5$

a)

6

b)

5

62.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

63.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

64.

Simplify 4⁰

a)

1

b)

4

c)

0

65.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

66.

Write 5³ in long form

a)

125

b)

5 x 5 x 5

c)

5³

67.

Write 12 x 12 x 12 x 12 x 12 x 12 x 12 in index form

a)

12⁶

b)

12⁷

c)

12⁸

d)

12⁵

68.

Simplify 9⁰

a)

1

b)

-1

c)

-9

d)

9

69.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

70.

3²x 3⁵

a)

3⁶

b)

3⁷

c)

3⁸

d)

3¹⁰

71.

2⁵÷ 2²

a)

1

b)

2³

c)

2⁷

d)

2¹²

72.

a⁵÷ a⁵

a)

a¹

b)

a⁵

c)

1

d)

a

73.

The words Index & Power mean the same thing

a)

True

b)

False

74.

Simplify...

a)

a⁹

b)

a²⁰

c)

a¹

d)

a^-1

75.

Simplify: 3⁵ x 3⁷

a)

3¹²

b)

9¹²

c)

3³⁵

d)

9³⁵

76.

Simplify: 2⁸ ÷ 2²

a)

2⁶

b)

2⁴

c)

2¹⁰

d)

1

77.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

78.

Writing this expression in Index form 7x7x7 would give...

a)

$7^3$

b)

$3^7$

c)

343

d)

$7^x$

79.

Evaluate the following... $5^3$

a)

125

b)

5 x 5 x 5

c)

3 x 3 x 3 x 3 x 3

d)

15

80.

Simplify $3\left(x-5\right)$

(a)

81.

Simplify $2\left(3x+y\right)$

(a)

82.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

83.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

84.

Expand -2(x-2)

a)

-2x+4

b)

2x-4

c)

-2x-4

d)

2x-2

85.

Expand 4(x+2)

a)

4x+4

b)

4x+2

c)

4x+8

d)

4x+6

86.

Expand 3(x-3)

a)

3x+6

b)

3x-3

c)

3x+9

d)

3x-9

87.

Expand -3(x+3)

a)

-3x+9

b)

3x+6

c)

-3x-6

d)

-3x-9

88.

Simplify $2\left(x+4\right)$

(a)

89.

Simplify 6(5-x)

(a)

90.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

91.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

92.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

93.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

94.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

95.

8(x + 5)

a)

8x + 13

b)

8x + 5

c)

8x + 40

d)

13x

96.

3(2y - 7)

a)

6y - 7

b)

6y - 21

c)

5y - 7

d)

5y - 21

97.

Simplify the expression: -8 + 2(x + 4)

a)

2x

b)

2x - 4

c)

2x + 12

d)

2x + 4

98.

6(3x + 5) + 2x

a)

20x + 5

b)

20x + 30

c)

20x + 11

d)

5x + 30

99.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

100.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

101.

Factor completely 12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

102.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

103.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

104.

Factorise 4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

105.

Factorise 6b + 8

a)

4(2b+2)

b)

2(3b+4)

c)

2(b+4)

d)

4(3b+2)

106.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

107.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

108.

Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct?

a)

Yes

b)

No

109.

What is the first step when factoring ?

a)

Replace x by a number

b)

Find the GCF

c)

Combine like terms

d)

Distribute the product

110.

Factor 4x + 30y.

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

cannot be factored

111.

The area of a rectangle is (18x - 12) ft². Write an expression that represents the side of the length of the rectangle in feet.

a)

The length is 6(3x - 2)

b)

The length is 6(3x + 2)

c)

The length is (3x - 3)

d)

The length is (12x + 6)

112.

Find the GCF of the pair of monomials: 28 and 42x

a)

14

b)

28

c)

2

d)

12

113.

Find the GCF of 30w and 120w.

a)

10w

b)

No GCF

c)

30w

d)

5w

114.

Use the GCF to factor the expression. If the expression cannot be factored, choose "cannot be factored."

36x+24

a)

cannot be factored

b)

$12\left(3x+2\right)$

c)

$3\left(12x+8\right)$

d)

$4\left(9x+6\right)$

115.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

116.

Solve:

$4x+7=23$

a)

$x=16$

b)

$x=4$

c)

$x=9$

d)

$x=12$

117.

Solve:

6n+4=-26

a)

$n=-6$

b)

$n=-5$

c)

$n=8$

d)

$n=-4$

118.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

119.

Solve:

-6w+1=-11

a)

$w=2$

b)

$w=1.2$

c)

$w=12$

d)

$w=-2$

120.

Solve:

$33=4a-7$

a)

$a=-10$

b)

$a=10$

c)

$a=4.5$

d)

$a=-7$

121.

Solve:

$20=2-a$

a)

$a=18$

b)

$a=-18$

c)

$a=-10$

d)

$a=12$

122.

Solve each equation for the following variable.
1. x - 4 = 12

a)

x = 8

b)

x = 16

c)

x = -8

d)

x = 3

123.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

124.

The model represents the equation 2x - 9 =5. What is the value of x?

a)

x = 14

b)

x = 7

c)

x = 4

d)

x = -4

125.

x + 10 = -30

a)

x = -20

b)

x = -40

c)

x = 20

d)

x = 3

126.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

127.

2 (x - 4) =18

a)

x = 20

b)

x = 7

c)

x = 11

d)

x = 13

128.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x = 0

d)

x = -12

129.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

130.

$q-12=1$

a)

-11

b)

-13

c)

13

d)

11

131.

a)

b)

c)

132.

-7b=49

a)

B=7

b)

B=-7

c)

B=2

133.

Solve -5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 12

134.

9f - 9 = 18

a)

f = 3

b)

f = -3

c)

f = 8

d)

f = -8

135.

6p - 5 =13

a)

p = 12

b)

p = 15

c)

p = 3

d)

p = -3

136.

The answer to a division question is called . . .

a)

Divisor

b)

Multiplier

c)

Quotient

d)

Sum

137.

735÷5=

a)

67r5

b)

9r2

c)

147

d)

123

138.

498÷9=

a)

67

b)

167

c)

55r3

d)

47r2

139.

4,458 ÷ 24

a)

185

b)

186

c)

186 R6

d)

186 R9

140.

46÷5=

a)

7 r6

b)

8 r4

c)

9 r1

d)

9 r4

141.

82÷6=

a)

13 r4

b)

12 r4

c)

13

d)

11 r8

142.

235÷6=

a)

28 r5

b)

34 r1

c)

39 r1

d)

45r 8

143.

353 ÷ 18

a)

11 R17

b)

18 R29

c)

11 R19

d)

19 R11

144.

What is a remainder?

a)

The number that divides the dividend

b)

The number that is being divided

c)

The number that divides the dividend

d)

What's left over

145.

186÷31

a)

7 R4

b)

5 R21

c)

7

d)

6

Revision y7

Total questions: 145

Worksheet time: 6hrs 36mins

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