Indices Maths Questions

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)

Examples:

1. Work out 56¹ - 56⁰
2. Explain why 27^1/3 = 3
3. Write 27^-1/3 as a fraction.
4. Work out the value of 64^2/3
5. Work out all solutions of the equation 8¹ = 2^m2
6. Show clearly that 4^3/2 = 8. Hence, or otherwise, work out the value of y if 4^y = 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 × 64^1/2
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 8^4/3.

• Show Video Lesson

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

• Show Video Lesson

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

• Show Video Lesson

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

• Show Video Lesson

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

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