KS3 Algebra | Learn how to Calculate Square Roots of Numbers

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Maths Quiz - Level 3-4 Algebra - Square Roots (Questions)

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:

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The square of 3 is 9, so the square root of 9 is 3. Easy, right? But it gets a tad trickier – the square root of 6 is 2.449489742783178. Got a calculator handy?

This Maths quiz is your guide to untangle squares and square roots. Read each question carefully, take your sweet time picking answers. Trust yourself – you've got this! Good luck!

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The √ sign is referred to as what?

[ ]	Square
[ ]	Squared
[ ]	Square root
[ ]	Square rooted

What is the square root of 16?

[ ]	2 or -2
[ ]	4 or -4
[ ]	6 or -6
[ ]	8 or -8

What is the square root of 81?

[ ]	3 or -3
[ ]	6 or -6
[ ]	9 or -9
[ ]	12 or -12

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

[ ]	30
[ ]	32
[ ]	34
[ ]	36

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

[ ]	25
[ ]	35
[ ]	49
[ ]	64

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

What is the square of 9?

[ ]	3
[ ]	6
[ ]	9
[ ]	81

What is the square root of 100?

[ ]	2 or -2
[ ]	10 or -10
[ ]	25 or -15
[ ]	50 or -50

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

10.

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

You can find more about this topic by visiting BBC Bitesize - Power and roots

Maths Quiz - Level 3-4 Algebra - Square Roots (Answers)

The √ sign is referred to as what?

[ ]	Square
[ ]	Squared
[x]	Square root
[ ]	Square rooted

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

What is the square root of 16?

[ ]	2 or -2
[x]	4 or -4
[ ]	6 or -6
[ ]	8 or -8

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

What is the square root of 81?

[ ]	3 or -3
[ ]	6 or -6
[x]	9 or -9
[ ]	12 or -12

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

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

[ ]	30
[ ]	32
[ ]	34
[x]	36

6 x 6 = 36

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

[ ]	25
[x]	35
[ ]	49
[ ]	64

The square root of 35 is 5.916079783099616

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

[ ]	Divide 8 by 2
[ ]	Multiply 8 x 2
[ ]	Take 2 from 8
[x]	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!

What is the square of 9?

[ ]	3
[ ]	6
[ ]	9
[x]	81

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

What is the square root of 100?

[ ]	2 or -2
[x]	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

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
[x]	They are both the same
[ ]	They are in no way related

9 x 9 = 81

10.

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
[x]	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!