Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
A worksheet on simplifying expressions by collecting like terms. The exercises require to find the missing terms in given expressions. Answers are included.
A worksheet on evaluating powers of positive and negative integers. The exponents in these powers are positive integers or zero. Solutions are included.
A collection of three worksheets on the following methods of proof:
Direct Proof
Proof By Contradiction
Proof By Induction
Detailed solutions are included.
A worksheet on simplifying composite numerical fractions i.e. fractions in which the numerator or the denominator or both is a fraction. Detailed solutions are included.
A worksheet on linear equations of the form x=a, y=b and y=ax. The exercises require the students to find the equations of some lines given their graphs, the points of intersection of these lines and generalize their findings. Solutions are included.
A worksheet on dividing fractions by fractions, fractions by mixed numbers, fractions by whole numbers, mixed numbers by mixed numbers and mixed numbers by whole numbers. 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.
