Squares, cubes and roots

Sample Squares, cubes and roots questions

A few of the 38 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 1-3
   Work out $7^2$.
   Show the worked solution

   $7^2 = 7 \times 7 = 49$

What are the common mistakes in Squares, cubes and roots?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Divides a number by the root's index instead of finding the actual root

  Confuses a cube root with dividing by 3, calculating $216 \div 3 = 72$ instead of finding the number that multiplies by itself three times to give 216.

• Doubles a number instead of squaring it

  Doubled 10 instead of squaring it - "squared" means multiply the number by itself, not by 2

• Mishandles the sign when raising a negative base to an odd power

  Gave a positive answer, but an odd power (here, power 3) of a negative number is always negative

Quick answers about Squares, cubes and roots

How many Squares, cubes and roots practice questions are there?

There are 38 self-marking GCSE and IGCSE Maths questions on Squares, cubes and roots, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Squares, cubes and roots?

No. You can start practising Squares, cubes and roots straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.