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!
Quizzes: Your Ticket to Fun Learning. Dive In
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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!
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1.
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How would you work out the value of 36? |
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| [ ] |
3 + 6 |
| [ ] |
6 + 3 |
| [ ] |
3 x 6 |
| [ ] |
3 x 3 x 3 x 3 x 3 x 3 |
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2.
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19 is 1. What is 91? |
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| [ ] |
1 |
| [ ] |
9 |
| [ ] |
18 |
| [ ] |
19 |
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3.
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To what power does 6 need to be raised to give a value of 216? |
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4.
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Which of these gives the largest value? |
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4 + 6 |
| [ ] |
4 x 6 |
| [ ] |
46 |
| [ ] |
64 |
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5.
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If a = 4 and b = 5, which of these is the largest value? |
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4a2 |
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3b3 |
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a + a + a + a |
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b + b + b + b + b + b + b + b + b + b + b + b |
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6.
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If a = 3 and b = 10, what is the difference between a4 and b2? |
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17 |
| [ ] |
19 |
| [ ] |
21 |
| [ ] |
23 |
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7.
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In the equation x3 + y2 - 6 = 51, we are told that the value of x is 2. What is the value of y? |
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| [ ] |
7 or -7 |
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8 or -8 |
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9 or -9 |
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11 or -11 |
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8.
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If x = 2 and y = 8, what is the answer to 8y / x4? |
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9.
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If a2 = 25, what is the value of a4? |
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| [ ] |
29 |
| [ ] |
50 |
| [ ] |
125 |
| [ ] |
625 |
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10.
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111 - x3 = -105. What is the value of x? |
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1.
|
How would you work out the value of 36? |
|
| [ ] |
3 + 6 |
| [ ] |
6 + 3 |
| [ ] |
3 x 6 |
| [x] |
3 x 3 x 3 x 3 x 3 x 3 |
|
|
|
2.
|
19 is 1. What is 91? |
|
| [ ] |
1 |
| [x] |
9 |
| [ ] |
18 |
| [ ] |
19 |
|
|
|
3.
|
To what power does 6 need to be raised to give a value of 216? |
|
|
|
|
4.
|
Which of these gives the largest value? |
|
| [ ] |
4 + 6 |
| [ ] |
4 x 6 |
| [x] |
46 |
| [ ] |
64 |
|
|
|
5.
|
If a = 4 and b = 5, which of these is the largest value? |
|
| [ ] |
4a2 |
| [x] |
3b3 |
| [ ] |
a + a + a + a |
| [ ] |
b + b + b + b + b + b + b + b + b + b + b + b |
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6.
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If a = 3 and b = 10, what is the difference between a4 and b2? |
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| [ ] |
17 |
| [x] |
19 |
| [ ] |
21 |
| [ ] |
23 |
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7.
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In the equation x3 + y2 - 6 = 51, we are told that the value of x is 2. What is the value of y? |
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| [x] |
7 or -7 |
| [ ] |
8 or -8 |
| [ ] |
9 or -9 |
| [ ] |
11 or -11 |
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8.
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If x = 2 and y = 8, what is the answer to 8y / x4? |
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9.
|
If a2 = 25, what is the value of a4? |
|
| [ ] |
29 |
| [ ] |
50 |
| [ ] |
125 |
| [x] |
625 |
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|
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10.
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111 - x3 = -105. What is the value of x? |
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