 KS3 Maths Quiz - Level 3-4 Algebra - Powers (Questions)

Powers - the word makes you think of something important. And well it should. Powers are a major part of KS3 Maths, especially in the field of algebra. Powers are the small numbers that appear to the upper right of other numbers. Although small they can make a huge difference!

Powers are also known as indices or exponents. Whichever word you use, they all mean the same thing. Powers are an easy way to show that a number has been multiplied by itself. It's easy to write 2 x 2, or even 2 x 2 x 2. But when it comes to longer multiplications powers save both time and space!

How would you write the number 10 billion? Well, 10 billion is 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000,000. But, it's much easier and quicker to write 1010. This saves a lot of paper when writing out very large numbers!

Test your powers in this quiz. Take your time and read every question carefully before you submit your answers. Good luck!.

1. 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
2. 19 is 1. What is 91?
 [ ] 1 [ ] 9 [ ] 18 [ ] 19
3. To what power does 6 need to be raised to give a value of 216?
 [ ] 2 [ ] 3 [ ] 4 [ ] 5
4. Which of these gives the largest value?
 [ ] 4 + 6 [ ] 4 x 6 [ ] 46 [ ] 64
5. 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
6. If a = 3 and b = 10, what is the difference between a4 and b2?
 [ ] 17 [ ] 19 [ ] 21 [ ] 23
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
8. If x = 2 and y = 8, what is the answer to 8y / x4?
 [ ] 2 [ ] 4 [ ] 8 [ ] 16
9. If a2 = 25, what is the value of a4?
 [ ] 29 [ ] 50 [ ] 125 [ ] 625
10. 111 - x3 = -105. What is the value of x?
 [ ] 3 [ ] 6 [ ] 9 [ ] 12 KS3 Maths Quiz - Level 3-4 Algebra - Powers (Answers)
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?
 [ ] 2 [x] 3 [ ] 4 [ ] 5
63 = 6 x 6 x 6
4. Which of these gives the largest value?
 [ ] 4 + 6 [ ] 4 x 6 [x] 46 [ ] 64
64 = 1,296 whilst 46 = 4,096. We Googled it - did you?
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
3b3 = 3 x 125 = 375
6. If a = 3 and b = 10, what is the difference between a4 and b2?
 [ ] 17 [x] 19 [ ] 21 [ ] 23
a4 = 3 x 3 x 3 x 3 = 81
7. In the equation x3 + y2 - 6 = 51, we are told that the value of x is 2. What is the value of y?
 [x] 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. If x = 2 and y = 8, what is the answer to 8y / x4?
 [ ] 2 [x] 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)
9. If a2 = 25, what is the value of a4?
 [ ] 29 [ ] 50 [ ] 125 [x] 625
a must be 5. a4 therefore must be 5 x 5 x 5 x 5
10. 111 - x3 = -105. What is the value of x?
 [ ] 3 [x] 6 [ ] 9 [ ] 12