Indices Maths Questions

These lessons help GCSE/IGCSE Maths students learn about indices by working through some examination questions.

Share this page to Google Classroom

Related Pages
Exam Questions On Indices
Rules Of Indices
More GCSE Maths Lessons
Math Worksheets

Indices for GCSE Maths revision
Higher level worked exam questions (include fractional and negative powers)


  1. Work out 561 - 560
  2. Explain why 271/3 = 3
  3. Write 27-1/3 as a fraction.
  4. Work out the value of 642/3
  5. Work out all solutions of the equation 81 = 2m2
  6. Show clearly that 43/2 = 8. Hence, or otherwise, work out the value of y if 4y = 86
  7. Write down the value of 20
  8. Simplify 718 ÷ (73)2. Give your answer as a power of 7.
  9. A patient has a disease. She has 43 body cells affected on day 1. The number of affected cells doubles every day. The disease becomes serious when 210 body cells are affected. On which day does the disease become serious? You must show your working.
  10. Work out 10-2 × 641/2
  11. Write down the square of the cube root of x using index notation.
  12. Given x = 8, what is the value of the square of the cube root of x?
  13. Work out the value of 9-3/2. 14. Evaluate 27-2/3
  14. Explain why 254 = 58
  15. Write 4-1 as a fraction.
  16. Work out 84/3.

Indices GCSE Maths Lesson - All types
This video explain the rules on indices and applying them to several simple questions

GCSE Maths - Rules of Indices
(Negative and Fractional Powers) A Star Higher

Indices Tricky GCSE Further Maths revision
Exam paper practice and help
AQA Further Maths Level 2 (GCSE) June 2012 Paper 1 Question 14

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.