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Level 3-4 Algebra - Powers
Power through this quiz to get full marks!

Level 3-4 Algebra - Powers

Powers – it sounds important, right? Well, they are a big deal in KS3 Maths, especially in algebra. Powers are those small numbers hanging out on the top right of other numbers. Don't let their size fool you – powers pack a punch!

You might hear them called powers, indices, or exponents – but it's all the same cool stuff. Powers are like magic shortcuts, showing a number multiplied by itself. Instead of writing 2 x 2 x 2, we just say 23. See, powers save time and space!

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Imagine writing 10 billion – that's 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000,000. – it's a mouthful! But with powers, we just say 1010. Easy peasy, right? Test your power skills in this quiz. Go slow, read each question carefully, and give it your best shot. Good luck!

1.
Which of these gives the largest value?
4 + 6
4 x 6
46
64
64 = 1,296 whilst 46 = 4,096. We Googled it - did you?
2.
To what power does 6 need to be raised to give a value of 216?
2
3
4
5
63 = 6 x 6 x 6
3.
If a = 4 and b = 5, which of these is the largest value?
4a2
3b3
a + a + a + a
b + b + b + b + b + b + b + b + b + b + b + b
3b3 = 3 x 125 = 375
4.
19 is 1. What is 91?
1
9
18
19
5.
If a = 3 and b = 10, what is the difference between a4 and b2?
17
19
21
23
a4 = 3 x 3 x 3 x 3 = 81
6.
If a2 = 25, what is the value of a4?
29
50
125
625
a must be 5. a4 therefore must be 5 x 5 x 5 x 5
7.
In the equation x3 + y2 - 6 = 51, we are told that the value of x is 2. What is the value of y?
7 or -7
8 or -8
9 or -9
11 or -11
Experiment with different values for y until you find the correct answer
8.
111 - x3 = -105. What is the value of x?
3
6
9
12
9.
How would you work out the value of 36?
3 + 6
6 + 3
3 x 6
3 x 3 x 3 x 3 x 3 x 3
Answer is 729
10.
If x = 2 and y = 8, what is the answer to 8y / x4?
2
4
8
16
Be careful not to mix up multiplying numbers together (as in 8y) when finding the value of numbers with powers (as in 24)
You can find more about this topic by visiting BBC Bitesize - Power and roots

Author:  Frank Evans

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