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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.

• Fractionagons Calculate the missing fractions in these partly completed arithmagon puzzles.
• In Terms of Pi Circle related questions requiring the answer to include a multiple of pi rather than an approximation.
• Surds Learn that a surd is an irrational number and how to simplify expressions including surds. This video is to help you do the online exercise.
• Surds A self-marking exercise on calculating, simplifying and manipulating surds (also known as radicals).

Here are some exam-style questions on this statement:

• "A circular dart board has radius of 30 cm." ... more
• "(a) Express \( \sqrt{5} + \sqrt{20} \) in the form \( a \sqrt{5} \) where \(a\) is an integer." ... more
• "(a) Write this list of numbers in order, smallest first." ... more
• "The cosine of acute angle \( \alpha \) is \( \frac{1}{ \sqrt 5} \)" ... more

See all these questions

Here are some Advanced Starters on this statement:

• Seventeen Camels
  Explain the mathematics of the classic ninteenth century fraction sharing story. more
• Single Fraction
  Simplify an expression involving fractions, exponents and a square root. more
• Test Scores
  Explore the misconception that when adding fractions you add both the numerators and the denominators more

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

• Roots Pupils should learn how to find real roots associated with integer powers (square root, cube root and higher). They should also learn to distinguish between exact representations of roots and their decimal approximations. Just how do you find the cube root of a number? By trial and improvement, iterative calculations or by learning to use a calculator efficiently?