Katherine Tomlinson

Several quadratics are given and students are asked to complete the square.

Several quadratics are given and students are asked to complete the square.

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Solve a quadratic equation by completing the square. The roots are not pretty!

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Practice finding parallel and perpendicular lines to a given line.

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Obtain the equation of a straight line that passes through 2 points.

Given one point and the gradient determine the equation of the line.

Identifying y=mx+b given two points

Calculate the midpoint of two points.

Calculate the distance between two points.

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Indices

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This question aims to test understanding and ability to use the laws of indices.

Rationalising Denominator (complex)

Rationalising the Denominator (Simple)

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In this question the student will be asked to manipulate surds and rationalise the denominator of a fraction when it is a surd.