GCSE Maths

GCSE Maths Powers and Roots Exam Questions

Free GCSE Maths exam questions on Powers and Roots, with full model answers. Covers squares, cubes, square roots, cube roots and index notation.

Powers and Roots exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About GCSE Maths Powers and Roots

Powers and Roots is a Grade 1+ GCSE Maths topic, so it mostly comes up on Foundation tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.

What you need to know

  • Squares and cubes Know squares to 15² and cubes 1, 8, 27, 64, 125, 1000.
  • Roots Square root is the inverse of squaring.
  • Index notation 5³ means 5 x 5 x 5.

Common mistakes in Powers and Roots

  • Thinking 5³ is 5 x 3.
  • Forgetting negative square roots exist.

Try two Powers and Roots exam-style questions

1. Work out 4³. (1 mark)

Show the mark scheme answer

64

2. Work out √81 + 2². (1 mark)

Show the mark scheme answer

13

Powers and Roots FAQs

Which exam boards include Powers and Roots?

These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Powers and Roots in GCSE Maths?

It is a Grade 1+ topic, so it mostly appears on Foundation tier papers.

How should I use these Powers and Roots questions?

Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.