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Use the area of a triangle to find a length.

Use Pythagoras' theorem twice where a right-angled triangle is inscribed into another.

Use Pythagoras' theorem to find the area of a triangle.

Use Pythagoras' theorem to solve problem involving movement in cardinal directions.

Expand a single bracket with surds, where simplification of surds is required.

Multiply or divide surds with algebra.

Equate the area of fractions of circles or full circles to determine a length.

Find the exact perimeter of a simple fraction of a circle.

Find the exact circumference of a full circle.

Determine the circumference of a circle given the area or perimeter of an enscribing square.

Determine a cost involving the circumference of a full circle.

Simplify (a / √b)^n where n is large.

Simplify expressions of the form (a + √b) / √c

Compare coefficients of surds and non-surds to determine values of variables.

Divide two surds that require simplifying.

Expand an expression of the form (ax+b)^3+(cx+d)^2

Expand expressions of the form (ax+b)^2 - (cx+d)^2

Expand an expression of the form (ax+b)^2(cx+d)

Expand expressions of the form (a+b/x)^2

Expand two brackets in the form ax(bx+c)(dx+e).

Round a whole number to a given number of significant figures.

11 How to complete an assigned task homework

10 The student view

5 How to set flexible questions as a task