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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.

• 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) Without using a calculator, show that \(\sqrt{28}=2\sqrt7\)

  (b) The point \(X\) is shown on the unit grid below. The point \(Y\) is \(\sqrt17\) units from \(X\) and lies on the intersection of two grid lines. Mark one possible position for \(Y\)." ... 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

See all these questions

Here are some Advanced Starters on this statement:

• Paper Ratio
  Calculate the ratio of the sides of an A4 sheet of paper without any measuring. more
• Paper Surprising Perimeter
  Find the perimeter of a folded sheet of A4 paper as described in this short video. 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?