A collection of three worksheets on the following methods of proof: Direct Proof Proof By Contradiction Proof By Induction Detailed solutions are included.

A collection of 7 worksheets on percentages based on the GCSE 9-1 specification. The following are included: Expressing one quantity as a percentage of another (non-calculator) Expressing one quantity as a percentage of another (calculator) Percentages, fractions and decimals: conversions between the three of them and word problems Percentage of a quantity (non-calculator): finding the percentage of a quantity without the use of a calculator Increasing or decreasing an amount by a percentage (non-calculator): increasing or decreasing an amount by a given percentage without using a calculator Reverse percentage Compound interest Detailed solutions are included.

A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification. The following worksheet are included: Introduction to ratios: converting ratios to fractions, writing and simplifying ratios Simplifying ratios Ratios: simplifying ratios and dividing an amount in a given ratio Dividing amounts in a given ratio Direct proportion: calculating the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other Detailed solutions are included.

A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification. The following worksheet are included: Multiplying out two brackets Multiplying three brackets Factorising quadratics Simplifying algebraic fractions Operations with algebraic fractions Completing the square Detailed solutions are included.

A collection of three worksheets on the following topics: Domain and Range of a Function:The exercises include polynomial functions, rational functions and functions with square roots. Injective Functions: The exercises require to decide whether a function is injective or not given its equation or its graph. Inverse Functions: The exercises require to decide whether a given function is invertible, find the inverse function and the domain of the inverse function. Detailed solutions are included.

A collection of 3 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: Solving simultaneous equations using elimination Solving simultaneous equations using substitution Graphical Solution of Simultaneous Equations Detailed solutions are included.

A collection of 6 worksheets on angles, lines and triangles based on the GCSE 9-1 specification. The following worksheets are included: Types of angles Complementary, supplementary and opposite angles Angles in parallel lines Sum of angles in a triangle Exterior Angles of a Triangle Isosceles, Equilateral and Right-Angled Triangles Detailed solutions are included.

A collection of three worksheets on identifying equivalent fractions. Solutions are included.

A collection of four worksheets on the following topics: nth Roots Properties of Roots Powers with rational exponents Surds-Rationalising the Denominator Detailed solutions are provided.