Welcome, KS3 students to the world of Maths indexing and roots! If you ever wondered what powers and square roots are all about, this fun-filled quiz is for you! Simple indices and roots are not hard to understand once you get going - let’s kick off your adventure with this 10-question quiz. Power up and root down!

1 .

What is the square root of 64?

6

8

10

12

The square root of a number is the value that, when multiplied by itself, gives the original number. So since 8 x 8 is 64, the square root of 64 is 8.

2 .

Define 4^{0}?

0

1

4

Undefined

In maths, anything raised to the power of 0 is always 1. Therefore, 4^{0} equals 1.

3 .

What is the value of 8 to the power ^{2}⁄_{3}?

2

4

3

None of the above

When calculating an index that involves fractions, the top number (numerator) is the power and the bottom number (denominator) is the root. So the question is asking for the cube root of 8 squared. The cube root of 8 is 2, and 2 squared is 4.

4 .

What is the cube root of 27?

4

5

6

3

The cube root of a number is a value that, when cubed (multiplied by itself twice), gives the original number. So the cube root of 27 is 3, because if you cube 3 (3 x 3 x 3), it equals 27.

5 .

Which is greater: 2^{5} or 5^{2}?

2^{5}

5^{2}

Both are equal

Neither

2^{5} means multiplying 2 by itself 5 times, which equals 32. While 5^{2} means multiplying 5 by itself 2 times, which equals 25. So, 2^{5} is greater than 5^{2}.

6 .

What is 2 raised to the power of 3 (2^{3})?

4

6

8

10

When a number raised to a power, it is the number multiplied by itself the 'power' times. So 2 cubed (or 2^{3}) is 2 x 2 x 2 which equals 8.

7 .

Which of the following numbers is irrational?

3

√ 2

0.75

Irrational numbers cannot be expressed as a simple fraction and they have never-ending, non-repeating decimal representations. The square root of 2 is irrational.

8 .

What value is represented by 10^{-1}?

1

0.1

-1

10

Negative indices represent the reciprocal of a number. So 10^{-1} equals ^{1}⁄_{10} which is 0.1.

9 .

What is 100^{0}?

0

1

100

Undefined

Remember, any number raised to the power of 0 is always 1. So, What is 100^{0} equals 1.

10 .

What is 16 raised to the power of 0.5?

2

3

4

5

A number raised to the power of 0.5 is the same as taking its square root. So 16 ^{0.5} equals the square root of 16, which is 4.

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