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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Indices A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.
• Indices Pairs The traditional pairs or pelmanism game adapted to test knowledge of indices.
• Indices Video Indices, exponents and powers can all be used as a short way to describe repeated multiplication.
• Power Play Exercises on powers and roots and simplifying index expressions involving numbers of the same base.
• Indices True False Arrange the given statements involving indices to show whether they are true or false.
• Dr Tim's Indices Challenge Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra.

Here are some exam-style questions on this statement:

• "Simplify the following expressions:" ... more
• "Without using a calculator, show clearly that \(27^{\frac23}\) is equal to \(9\)." ... more
• "Work out the exact value of \(n\)." ... more
• "Without using a calculator find the values of the following:" ... more
• "(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)" ... more
• "If a, b and c are positive integers use the following statements to find the values of a, b and c." ... more
• "\(y = a \times b^{x – 2}\) where \(a\) and \(b\) are numbers." ... more

See all these questions

Here are some Advanced Starters on this statement:

• Eight to the Unknown
  Solve the equation using the laws of indices more
• Same Three Digits
  Find expressions which contain indices and evaluate to numbers containing the same digits. more
• Seventeen Camels
  Explain the mathematics of the classic ninteenth century fraction sharing story. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Indices Where do many fish live? Indices (in the seas!) This topic involves the use of the index, power or exponent. The concept is easily misunderstood and a surprisingly large number of pupils will evaluate 62 as 12 and not 36. After having mastered positive integer indices pupils should move on to negative indices and fractional indices. Exploring this topic in both numeric and algebraic ways will provide understanding and competence in this important concept.