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These are the Transum resources related to the statement: "Pupils should be taught to calculate exactly with fractions, {surds} and multiples of π ; {simplify surd expressions involving squares [for example √12 = √(4 × 3) = √4 × √3 = 2√3] and rationalise denominators}".

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 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

Here is an Advanced Starter on this statement:

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

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