Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Powers 1 (Questions)

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Powers are powerful in Algebra! They are the small numbers that appear to the upper right of other numbers. Although small they can make a huge difference as in 1010 which is 10,000,000,000 or 10 billion!

Test your knowledge in this Math quiz.

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
Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Powers 1 (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
Answer is 729
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