Level 7-8 Algebra - Powers

1. If a = 4 and b = 9, which is the smallest number from the following?

   • a⁴
   • b³
   • 6a²
   • 9b

2. b⁴ - a² = 621. Given that the value of a is 2, what is a possible value of b?

   • 5
   • 7
   • 9
   • 11

3. If x = 3, what is the value of x³ + x⁴ + x⁵?

   • 27
   • 81
   • 243
   • 351

4. What power needs to be added to 10 to give it a value of a million (1,000,000)?

   • 2
   • 4
   • 6
   • 8

5. What is the easiest way to calculate the value of 16⁹?

   • 16 x 9
   • 9 x 16
   • 16 x 16
   • Use a calculator

6. If a = 3 and y = 7, what is the answer to 4a(2y²)?

   • 176
   • 761
   • 1,176
   • 6,711

7. 400 - x³ = 57. What is the value of x?

   • 3
   • 5
   • 7
   • 9

8. If x = 13 and y = 8, what is the answer to x² - (20y + 9)?

   • 0
   • 8
   • 13
   • 29

9. When a = 11 and b = 15, which of these gives the largest number?

   • a² + 18
   • 10b - 11
   • b² - 86
   • 11a

10. If x = y², and x = 9 then what is a possible value of y?

    • 3
    • 6
    • 9
    • 12

Quiz written by Colin King