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Powers, roots and integers

Grade 7 · Math · 16 questions

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Worksheet: Powers, roots and integers

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Answer the questions.

  1. What is (-6) × 4?
    a) -10b) -2c) -24d) 24
  2. What is (-36) ÷ (-9)?
    a) -4b) -45c) 27d) 4
  3. A negative number multiplied by a negative number gives a positive number.
    a) Trueb) False
  4. What is (-5) × (-3) × (-2)?
    a) -10b) -30c) 10d) 30
  5. What is the square root of 81?
    a) 18b) 40.5c) 8d) 9
  6. The number 50 is a square number.
    a) Trueb) False
  7. What is 12 squared?
  8. What is the cube of 3?
    a) 27b) 6c) 81d) 9
  9. What is the cube root of 125?
    a) 15b) 25c) 4d) 5
  10. What is the cube root of 1000?
  11. What is 2⁵ written as an ordinary number?
    a) 10b) 16c) 25d) 32
  12. How do you write 7 × 7 × 7 × 7 using index notation?
    a) 28b) 4⁷c) 7 × 4d) 7⁴
  13. 3⁴ and 4³ have the same value.
    a) Trueb) False
  14. Which shows 60 as a product of its prime factors?
    a) 2 × 2 × 3 × 5b) 2 × 3 × 10c) 2 × 5 × 6d) 4 × 3 × 5
  15. Which number has prime factors 2 × 2 × 2 × 3 × 3?
  16. Which number is NOT used in the prime factor decomposition of 30?
    a) 2b) 3c) 5d) 6

Answers

  1. -24
  2. 4
  3. True
  4. -30
  5. 9
  6. False
  7. 144
  8. 27
  9. 5
  10. 10
  11. 32
  12. 7⁴
  13. False
  14. 2 × 2 × 3 × 5
  15. 72
  16. 6