Hello KS3 students! Welcome to an exciting Maths quiz on Indices and Roots. This quiz will test your Maths magician skills and show you how much of a numbers ninja you are. Enjoy exercising your brain muscles with 10 power-packed questions. Don't stress; remember: every question is a step closer to becoming an mathematics master! Good luck!

1 .

What is the cube root of 64?

8

6

10

4

The cube root of 64 is 4. This because 4 x 4 x 4 = 64.

2 .

How do we write '10 squared' in index form?

10^{2}

10 x 10

20

2 x 10

10 squared is written in index form as 10^{2}. The '2' is the index or power, which means multiplying 10 by itself.

3 .

What number is equivalent to 2^{3}?

8

6

2

3

2^{3} is calculated as 2 x 2 x 2 which gives the answer 8.

4 .

Which of the following is a square number?

25

45

10

15

25 is a square number as it is the product of 5 squared (5 x 5).

5 .

What is √ 16 ?

2

4

16

16^{2}

The square root of 16 is 4 because 4 x 4 = 16.

6 .

What is the value of 3^{2} x 3^{3}?

36

108

243

81

3^{2} is 9 and 3^{3} is 27. Multiplying 9 by 27 gives 243. When multiplying with same bases, you add the powers. So, 3^{2} x 3^{3} = 3^{2+3} = 3^{5} = 243.

7 .

What is the value of 4^{-2}?

-8

-2

0.0625

8

An index of -2 means finding the reciprocal of the square of the number. So, for 4^{-2}, we work out 1 ÷ (4^{2}) which equals 0.0625. That's ^{1}⁄_{16}.

8 .

If 10^{4} = 10,000, what is 10^{-4}?

-10,000

0.0001

1,000

-100

A negative power means finding the reciprocal. So, 10^{-4} is the same as ^{1}⁄_{10}^{4}. Thus, 10^{-4} equals 0.0001.

9 .

What is the square root of 121?

10

11

12

13

The square root of 121 is 11 because 11 x 11 equals 121.

10 .

What is the value of 5^{0}?

1

0

5

None of the above

Any number raised to the power of 0 is 1. So 5^{0} equals 1.

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