 # 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!

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