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 test on ratios. The exercises are elementary and aim to introduce students to the concept of ratios. They require writing and simplifying ratios and solving simple word problems involving ratios. Detailed solutions are included. Can be used as a worksheet.
A test on percentages. The exercises include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change and reverse percentage problems. Detailed solutions are included.
A test on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.
A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers (to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. Detailed solutions are included.
A test on elementary probability. The exercises require the use of theoretical probability, that is probability written as a ratio of the number of favorable outcomes to the number of possible outcomes. Detailed solutions are included.
A test on the following topics: multiplying and dividing positive and negative numbers, finding the factors of a given number, finding the HCF and the LCM of two given numbers and finding the prime factorisation of a number. Detailed solutions are included.
A test on percentages. The exercises include writing amounts as percentages, working out percentages of a given amount, increasing and reducing an amount by a given percentage and working out the percentage increase or decrease in a word problem. Detailed solutions are included.
A test on solving simple linear equations, linear equations with the variable on both sides, linear equations with brackets or fractions and rearranging formulae. Detailed solutions are included. Can be used as a worksheet.
A worksheet on percentages, fractions and decimals. The exercises include conversions between the three of them and word problems. 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.
An introductory worksheet on inequalities. The exercises require to use the inequality symbols and list the numbers that satisfy a given double inequality. Answers are included.
A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. 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 worksheet on functions. The exercises include evaluating a function at a given point, identifying the values that should be excluded from the domain of given functions, finding the inverse of a given function and the composition of two given functions. Detailed solutions are included. Good for GCSE/IGCSE students.
A test on the four operations with integers, highest common factor and lowest common multiple. The exercises include adding, subtracting, multiplying and dividing positive and negative integers, writing numbers as a product of their prime factors and identifying the HCF and the LCM of two numbers. Detailed solutions are included.
