Integers, powers and roots Quiz - Mathematics Number

Free practice quiz: Integers, powers and roots (Mathematics Number). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Number practice quiz has 12 multiple-choice questions on Integers, powers and roots, and 12 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Work out √36 + 2 × 5

   1. 11
   2. 26
   3. 16
   4. 40
   Show answer

   Answer: C. 16

   √36 = 6, 2 × 5 = 10, so 6 + 10 = 16.

2. Estimate 39 × 61 by rounding each number to 1 significant figure

   1. 2000
   2. 2400
   3. 2800
   4. 3000
   Show answer

   Answer: B. 2400

   Round to 40 × 60 = 2400.

3. Which number is rational but not an integer?

   1. √2
   2. 2/5
   3. 0
   4. −3
   Show answer

   Answer: B. 2/5

   2/5 is a fraction, so rational. It is not a whole number.

4. Work out (−9)²

   1. −81
   2. −18
   3. 9
   4. 81
   Show answer

   Answer: D. 81

   Negative × negative = positive: 81.

5. Work out (−4)² − 4²

   1. 32
   2. 0
   3. −32
   4. 8
   Show answer

   Answer: B. 0

   (−4)² = 16 and 4² = 16. 16 − 16 = 0.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Work out (−6) × (−7)
2. Write 60 as a product of prime factors
3. Which number is an integer?
4. Work out 5⁰
5. Work out −√49
6. Find the cube root of −27
7. Work out (−2)³

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