So, now you're buddies with powers and square numbers, let's dive into another cool term you'll bump into a lot in KS3 Maths – square roots.

No, we're not talking about plants with cube-shaped parts! Square roots are like the opposite of square numbers. Check it out:

Click to See How Quizzes Help Learning1.

Which of these figures does not have a whole number as a square root?

25

35

49

64

The square root of 35 is 5.916079783099616

2.

The √ sign is referred to as what?

Square

Squared

Square root

Square rooted

It's important you get to know what the square root sign looks like

3.

What is the square root of 100?

2 or -2

10 or -10

25 or -15

50 or -50

Minus numbers multiplied by themselves always give a positive answer. So, strange as it seems, -10 x -10 = 100

4.

You are given the two numbers '9 squared' and '81'. How do they relate to each other?

81 is the larger number

9 squared is the larger number

They are both the same

They are in no way related

9 x 9 = 81

5.

What is the square of 9?

3

6

9

81

Did you spot that we asked for the 'square' and NOT the 'square root'?

6.

What is the square root of 16?

2 or -2

4 or -4

6 or -6

8 or -8

Both 4 x 4 and -4 x -4 = 16

7.

What is the quickest way to find the square root of 8?

Divide 8 by 2

Multiply 8 x 2

Take 2 from 8

Use a calculator

Some square roots are not whole numbers and can be very difficult to work out. The square root of 8 is approximately 2.828427. We used a calculator to find out!

8.

Which of these numbers has a whole number as a square root?

30

32

34

36

6 x 6 = 36

9.

You are given the two numbers '3 squared' and 'the square root of 100'. How do they relate to each other?

3 squared is the larger number

The square root of 100 is the larger number

They are both the same

There is no way of telling

The square root of 100 could be either 10 or -10 and we have no way of knowing which square root the question requires!

10.

What is the square root of 81?

3 or -3

6 or -6

9 or -9

12 or -12

9 x 9 = 81 AND -9 x -9 = 81

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