Free Printable Integers and Indices Revision

1.

Compare: -9 __ -1

a)

>

b)

<

c)

=

2.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

3.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

4.

5-19

a)

14

b)

24

c)

-14

d)

-24

5.

$12-\left(-8\right)=.....$

a)

-20

b)

-4

c)

4

d)

20

6.

The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

a)

3 degrees

b)

12 degrees

c)

11 degrees

d)

10 degrees

7.

$5\times\left(-6\right)=....$

a)

-11

b)

-15

c)

-30

d)

30

8.

$12\div\left(-4\right)\times5=....$

a)

-20

b)

-15

c)

15

d)

20

9.

$-4+5\times2-6=....$

a)

3

b)

2

c)

1

d)

0

10.

A submarine descends below the surface of the water at a rate of 250 feet each minute. What is the depth of the submarine after 4 minutes?

a)

-62.5 feet

b)

-1,000 feet

c)

-246 feet

d)

-254 feet

11.

-15 - 3

a)

12

b)

-12

c)

-18

d)

18

12.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

13.

-9 + (-5)

a)

-14

b)

14

c)

-4

14.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

15.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

16.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

17.

0 + (-100)

a)

100

b)

-100

c)

0

d)

200

18.

An Integer is...

a)

a fraction.

b)

an operation.

c)

a positive or negative whole number.

d)

the answer to a division problem.

19.

A negative integer has a value...

a)

less than zero.

b)

equal to zero.

c)

greater than zero.

20.

When you add zero to any number...

a)

you get zero as your answer.

b)

you get one as your answer.

c)

everything cancels out.

d)

you get the same number you started with.

21.

An integer is...

a)

A whole number that can be positive, negative, or zero

b)

A number and its opposite

c)

All positive and negative numbers

d)

a number that is fractions, decimals, or whole

22.

Which answer has the integers in order from least to greatest?

a)

− 9, -5, -3, 0, 4, 3

b)

− 9, -5, -3, 0, 3, 4

c)

− 5, -9, -3, 0, 4, 3

d)

3, 4, 0, -3, -5, -9

23.

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

24.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

25.

Which lists all the factors of 15?

a)

1, 7, 8, 15

b)

1, 15

c)

1, 3, 5, 15

d)

3, 5, 15

26.

1,2,8 and 16 are all factors of 16. Which factor is missing

a)

3

b)

4

c)

5

d)

6

27.

Which number is a prime number?

a)

8

b)

10

c)

3

28.

Which number is a composite number?

a)

10

b)

5

c)

7

29.

TRUE or FALSE?

A FACTOR is greater than the number you are factoring

a)

TRUE

b)

FALSE

30.

Choose all the PRIME numbers

a)

1

b)

2

c)

3

d)

5

31.

Choose a COMPOSITE number

a)

1

b)

2

c)

3

d)

12

32.

A COMPOSITE number has:-

a)

Exactly 2 factors

b)

Less than 2 factors

c)

More than 2 factors

d)

No factors

33.

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

34.

What are the multiples of 9?

a)

9, 12, 15, 18, 21

b)

9, 18, 27, 36, 45, 54

c)

3, 6, 9, 12, 15, 18

d)

9, 19, 29, 39, 49, 59

35.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

36.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

37.

Find the HCF of 40 and 60?

a)

10

b)

20

c)

30

d)

None of the above

38.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

39.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

40.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

41.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

42.

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)

43.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

44.

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

a)

HCF

b)

LCM

45.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

46.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

47.

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

a)

HCF

b)

LCM

48.

51 is a _____________ of 3

a)

Factor

b)

Multiple

49.

What does LCM stand for

a)

lowest common number

b)

lowest core number

c)

lowest core multiple

d)

lowest common multiple

50.

Wha does HCF stand for?

a)

Highest common factor

b)

Highest core frequency

c)

Highest common frequency

d)

Highest core factor

51.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

52.

Use a number tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

53.

Use a number tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

54.

Use a number tree to find the prime factorization of 42

a)

4x4x3

b)

6x7

c)

7x3x2

d)

5x4x2

55.

Use a number tree to find the prime factorization of 64

a)

4x4x4

b)

4x4x2x2

c)

2x2x2x2x2x2

d)

4x4x2x1

56.

Use a number tree to find the prime factorization of 33

a)

33

b)

11x3

c)

10x3

d)

3x3x3x2

57.

Use a number tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

58.

Use a number tree to find the prime factorization of 48

a)

4x2x6

b)

4x2x2x3

c)

3x2x2x2x2

d)

12x4

59.

Find the prime factorization of 18

a)

2 • 9

b)

2² • 3

c)

2 • 3²

d)

3 • 6

60.

Find the prime factorization of 30

a)

2² • 5 • 7

b)

2 • 3²

c)

2 • 3 • 7

d)

2 • 3 • 5

61.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

62.

What are the missing factors?

a)

2 and 3

b)

3 and 6

c)

3 and 3

d)

1 and 9

63.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

64.

(-8) / (+2)

a)

-10

b)

+10

c)

+4

d)

-4

65.

(+4) / (-2)

a)

+8

b)

-8

c)

+2

d)

-2

66.

(-8) x (-6)

a)

56

b)

-48

c)

+48

d)

-56

67.

-3 x (-5) - 16

a)

-8

b)

24

c)

-24

d)

-1

68.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

69.

What are the steps to solve the following expression?
50 − 16 ÷ 2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

70.

Solve the following:
3 + 27 ÷ (-3)

a)

-6

b)

-10

c)

10

d)

-12

71.

2 + (9²- 4)

a)

16

b)

77

c)

79

72.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

73.

-4 x (-1 + 8)

a)

-36

b)

28

c)

-28

74.

-56 ÷ (-7) - (-3)

a)

5

b)

11

c)

-5

75.

8 - 30 + 25

a)

47

b)

-47

c)

3

76.

Solve the following:
8 + (-4) ÷ 4

a)

-7

b)

1

c)

-1

d)

7

77.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

78.

Solve the following:

-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

79.

True or False?

2 x 3 + 10 ÷ 2 = 8

a)

True

b)

False

80.

What are the steps to solve the following expression?

50 − 16 ÷ 2 x (12 + 4)

a)

brackets

multiplication

subtraction

division

b)

brackets

multiplication

division

subtraction

c)

brackets

division

multiplication

subtraction

d)

brackets

subtraction

multiplication

division

81.

4 + [5² + (-4 - 1)] ÷ 10

a)

2.4

b)

4

c)

6

d)

7

82.

(-7) - 3²

a)

21

b)

63

c)

-16

d)

-62

83.

(-5) - (-3) x (-4)

a)

60

b)

-60

c)

-17

d)

7

84.

10 x (-5) + (-6)²

a)

56

b)

72

c)

-72

d)

-14

85.

Which operation must be performed first?
5² + (9 - 1) ÷ 4 × 10 + 1

a)

5²

b)

9 - 1

c)

4 × 10

d)

10 + 1

86.

True or false: all addition must be simplified before any subtraction

a)

True

b)

False

87.

10 + 45 ÷ 9 - (14 ÷ 2) =

a)

9

b)

7

c)

53

d)

18

88.

The only factors that prime numbers have are:

a)

0 and 1

b)

0 and itself

c)

1 and itself

d)

1

89.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

90.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

91.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

92.

Factors of 18 are 1, 2, 3, 6, 9, 18.

Prime factors of 18 are.....

a)

1, 2 and 3

b)

2 and 3

c)

2, 3 and 6

d)

3, 9 and 18

93.

Find the prime factorisation of 40

a)

2² x 5

b)

2 x 20

c)

5 x 8

d)

2³ x 5

94.

What is the prime factorization of 100 in exponential form?

a)

$2\times5^3$

b)

$2^3\times5$

c)

2*5

d)

$2^2\times5^2$

95.

What is the prime factorization of 225 in exponential form?

a)

$3^4$

b)

$3^{3\ }\times5$

c)

$3^2\times5^2$

d)

$2^2\times3^2$

96.

What is the prime factorization of 3150 in exponential form?

a)

$2^2\times3^2\times5^2$

b)

$2\times3^2\times5^2\times7$

c)

$2\times3^3\times7$

d)

$5^2\times3^2\times11$

97.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

98.

What are the missing factors?

a)

2 and 3

b)

3 and 6

c)

3 and 3

d)

1 and 9

99.

What is the prime factorization of 90 in exponential form?

a)

$2^2\times3\times5$

b)

$2\times3^2\times5$

c)

$2\times3\times5^2$

d)

$3^3\times5$

100.

If the expanded form is 2x2x2x3x3x5x7 what would the exponential form be?

a)

2x3x5x7

b)

2³x3²x5x7

c)

2²x3²x5x7

d)

8x9x35

101.

^Solve:
√81

a)

18

b)

3

c)

9

d)

11

102.

Evaluate.

a)

5

b)

7

c)

25

d)

49

103.

$\sqrt{16}$ =

a)

16

b)

$4\times4$

c)

4

d)

$\sqrt{16\times16}$

104.

9 + 5 - 6 x 2

a)

2

b)

16

c)

26

d)

20

105.

write $8^2\times5^3$ in expanded form.

a)

8 x 8 x 5 x 5 x 5

b)

8 x 5

c)

16 x 15

d)

8 x 2 x 5 x 3

106.

In 3⁴, the 3 represents the ____________ ?

a)

power

b)

base

c)

exponent

d)

integers

107.

\left(-10\right)\times2-\left(-7\right)^2

(a)

108.

\left(-8\right)\times\left(-6\right)-\left(-5\right)^2

(a)

109.

2^2\times\left(-9\right)-9

(a)

110.

5-\left(-4\right)\times\left(-3\right)^2

(a)

111.

\left(7-8\right)\times2^2

(a)

112.

6\times5+\left(-4\right)^2

(a)

113.

8-5\times4^2

(a)

114.

3\times\left(9+\left(-8\right)\right)^2

(a)

115.

10\times\left(-5\right)+\left(-6\right)^2

(a)

116.

\left(-7\right)\times\left(-4\right)+2^2

(a)

117.

\left(10+2-5\right)\times\left(6^2\div\left(8-4\right)\right)

(a)

118.

8\div\left(10-9\right)^3\times7+4^2

(a)

119.

\left(8+5^2\right)\times\left(\left(9-7\right)^2\div2\right)

(a)

120.

10+8-6^2\div\left(3^2\times4\right)

(a)

121.

10x(3x-2)=

(a)

122.

4 x 5 - 2 + 4

a)

14

b)

16

c)

22

d)

28

123.

Model this situation with an integer number sentence aswell as provide a final answer. Australia was 50 runs behind, then made another 63 runs.

(a)

124.

There has been a record drop in temperature overnight in Winterfell. At 6pm, the temperature was 10 degrees and by 4am it had fallen 25 degrees. What was the temperature at 4am?

(a)

125.

Evaluate the Following: 25 + (-36)

a)

-61

b)

11

c)

61

d)

-11

126.

From the ground level, a lift went down 2 floors, then down another 3 floors to a level 5 floors below the ground. Describe this in an expression.

(a)

127.

7+-4- -2=

a)

9

b)

13

c)

5

d)

-5

128.

In a local footy match, where a goal counts for 6 points and a behind is worth 1 point, a forward kicked 4 goals 3 behinds. Formulate the expression and the total amount of points scored by the player.

(a)

129.

Calculate: -6 - -9

(a)

130.

Evaluate the following:

-16 / $\left(-2\right)^2$

(a)

131.

Which number is greatest?

a)

-1

b)

-4

c)

-6

Integers and Indices Revision

Total questions: 131

Worksheet time: 5hrs 42mins

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