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.
Three tests on fractions, decimals and percentages.
The exercises in the first include converting fractions to percentages, converting decimals to percentages, converting percentages to fractions, working out percentages of given quantities, word problems on percentages and percentage increase and decrease.
The exercises in the second 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. The exercises in the third 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 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 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 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 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 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.
Three tests on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.
Three tests on percentages. The exercises include writing amounts as percentages, calculating simple interest, working out percentages of a given amount, increasing and reducing an amount by a given percentage, working out the percentage increase or decrease in a word problem and reverse percentage problems. Detailed solutions are included.
A collection of 10 worksheets on the following topics: equivalent fractions, comparing fractions, simplifying fractions, improper fractions and mixed numbers, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, adding, subtracting, multiplying and dividing fractions and whole numbers and missing operations between fractions. Detailed solutions are included.
A worksheet on adding and subtracting positive and negative integers and fractions. Good introductory exercises for this topic. 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 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 equations and formulae. The exercises include multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets and rearranging formulae to change the subject . Detailed solutions are included.
Four tests on percentages. The exercises include writing amounts as percentages, calculating simple interest, working out percentages of a given amount, increasing and reducing an amount by a given percentage, working out the percentage increase or decrease in a word problem and reverse percentage problems. Detailed solutions are included.
Three tests on equations and formulae. One elementary test on solving simple linear equations, linear equations with the variable on both sides, linear equations with brackets or fractions and rearranging formulae. And two tests on multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets and rearranging formulae to change the subject. Detailed solutions are included. Can be used as a worksheet.