Free Printable INTEGERS, POWERS & ROOTS

1.

Find the missing numbers

a)

2.5

b)

5.5

c)

-2.5

d)

-5.5

2.

Find the value of q,

when p = 1.25 ?

a)

0

b)

1

c)

2

d)

4.75

3.

Find the value of p,

when q = 2 ?

a)

-6.5

b)

-2.5

c)

2.5

d)

6.5

4.

Use the values given above,

Find the value (p + q) x r

a)

-2

b)

-1

c)

3

d)

-4

5.

Use the values given above,
Find the value (p -q ) $\div$ r

a)

-4

b)

-2

c)

2

d)

4

6.

Use the multiplication table above to

calculate -1.5 ×3.2

a)

-8

b)

-4.8

c)

0.9

d)

1.5

7.

Use the multiplication table above to

calculate 1.5 ÷ -0.6

a)

-2.5

b)

-1.5

c)

-0.6

d)

3.2

8.

Which of the following statements is true ?

a)

b)

c)

d)

9.

Write 7^-3 as a fraction

a)

-21

b)

-343

c)

d)

10.

Write 4^-1as a decimal

a)

0.4

b)

0.14

c)

0.25

d)

0.41

11.

Write (2³)⁴as a power of 2

a)

2¹

b)

2⁷

c)

2¹²

d)

2¹⁵

12.

Find the value of n

a)

1

b)

2

c)

3

d)

4

13.

Simplify given fraction

a)

5²

b)

5³

c)

5⁷

d)

5¹⁰

14.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

15.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

16.

6 - (-4)

a)

10

b)

2

c)

-2

d)

-10

17.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

18.

-9 - 5

a)

-14

b)

4

c)

-4

d)

45

19.

-3 +(- 2)

a)

-1

b)

5

c)

-5

d)

-6

20.

12 - (-12)

a)

24

b)

-24

c)

0

d)

-144

21.

-8 - (-6)

a)

2

b)

14

c)

-2

d)

-14

22.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

23.

-32/8

a)

-4

b)

-5

c)

4

d)

24

24.

3 - (-8)

a)

11

b)

-11

c)

5

d)

-5

25.

-2 + (-5)

a)

-3

b)

3

c)

-7

d)

7

26.

-12 - (-7) =

a)

15

b)

6

c)

-5

d)

13

27.

4 x 5

a)

9

b)

30

c)

-9

d)

20

28.

-3 x -8

a)

28

b)

11

c)

24

d)

-24

29.

32 x (-2)

a)

94

b)

-64

c)

30

d)

-16

30.

Square root of 16 is....

a)

8

b)

4

c)

2

d)

3

31.

True or false? 9² is 18

a)

True

b)

False

32.

The square root of 256 is...

a)

15

b)

18

c)

13

d)

16

33.

b²=361
b=...

a)

19

b)

20

c)

16

d)

17

34.

4

a)

Is a perfect square.

b)

Is not a perfect square.

35.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

36.

∛8

a)

2

b)

-2

c)

±2

d)

None

37.

In between which two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

38.

(+9) -(+2) =

a)

-6

b)

6

c)

7

d)

-7

39.

(+9) - (+8) =

a)

1

b)

2

c)

-2

d)

-1

40.

$4^4$

a)

16

b)

64

c)

8

d)

256

41.

$15^2$

a)

2250

b)

625

c)

225

d)

1250

42.

Which of the following is a square number?

a)

9

b)

12

c)

15

d)

20

43.

What is the square root of 49?

a)

7

b)

8

c)

6

d)

5

44.

Which of the following is a cube number?

a)

1

b)

10

c)

9

d)

6

45.

Simplify: 6³ x 6⁴

a)

6¹²

b)

6⁷

c)

6¹

d)

6⁸

46.

Simplify: 7⁹ x 7⁶

a)

7¹⁵

b)

7¹⁶

c)

7³

d)

7¹⁴

47.

Find the cube root of 729.

a)

7

b)

9

c)

27

d)

32

48.

Between which two consecutive integers does the square root of 87 lie?

a)

8 and 9

b)

9 and 10

c)

7 and 8

d)

8 and 10

49.

Solve for x if x² = 144.

a)

12

b)

11

c)

4

d)

14

50.

Write the numbers as powers of 5:

5 x 5 x 5

a)

5²

b)

5³

c)

3⁵

d)

15

51.

(-9)(-8)

a)

-72

b)

72

c)

81

d)

-81

52.

-8(0)=

a)

-8

b)

8

c)

0

d)

-0

53.

-9 x -3

a)

27

b)

-27

c)

-12

d)

12

54.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

55.

Any positive integer raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

56.

Evaluate: 2⁵

a)

64

b)

32

c)

16

d)

8

57.

Which option is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

58.

18¹=

a)

18

b)

0

c)

324

d)

1

59.

Which option is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

60.

Which option is equivalent to 7 x 7 x 7 x 7 x 7 ?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

61.

Write the product form as a power of 9:

9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

62.

Select ALL of the perfect squares

a)

4

b)

10

c)

64

d)

120

e)

144

63.

Which is a perfect square between 36 and 64

a)

25

b)

50

c)

49

d)

61

64.

Is 225 a perfect square?

a)

Yes

b)

No

65.

The square root of 99 falls between which two consecutive whole numbers?

a)

7 and 8

b)

8 and 9

c)

10 and 11

d)

9 and 10

66.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

67.

Simplify:

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

68.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

69.

$if\ \ \ \ \ \ \ \ 5^b\times5^4=5^6$ then b is equal to

a)

2

b)

1

c)

10

d)

6

70.

Fill in the missing number.

-8 x (a) = + 2.4

71.

a)

8

b)

9

c)

10

d)

11

72.

a)

9

b)

3

c)

1/3

d)

1

73.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

74.

Rewrite using a positive exponent/power/index.

7^-10

a)

¹/₇¹⁰

b)

7¹⁰

c)

¹/₇^-10

d)

-70

75.

Simplify given fraction $\frac{5^2\ ·\ 5^{10}}{5^7\ ·\ 5^2}$

a)

5²

b)

5³

c)

5⁷

d)

5¹⁰

76.

In order to multiply powers with the same base, we add their exponents/powers/indices.

a)

True

b)

False

77.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

78.

When dividing powers of the same base, such as x³/x⁵, you will _____________ the exponents/powers/indices.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

79.

When raising a power to a power, such as (x³)⁵ you will __________ the exponents/powers/indices.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

80.

Evaluate:

−48 ÷ (6)

a)

6

b)

−6

c)

−8

d)

8

INTEGERS, POWERS & ROOTS

Total questions: 80

Worksheet time: 3hrs 40mins

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