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

rebelmaths

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.

An introduction to terminology about the surjective property of a function.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

Graphs are given and students are required to match them with their equation.

This question asks the student to find the inversed composite function finding the inverses of two functions then composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers.

This exam covers 

• laws of indices
• using surds and rationalising the denominator
• expanding brackets
• simplifying expressions
• solving linear inequalities
• finding common factors
• dividing a polynomial with remainders, using algebraic division
• factor theorem
• remainder theorem
• inverse and composite functions

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Applied questions that could be done with modulo arithmetic.

Credits to : Ben Brown.

used under a CC-BY 4.0 licence. https://creativecommons.org/licenses/by/4.0/

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

Solving quadratic equations using a formula,