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 collection of three worksheets on HCF and LCM. The exercises require to find the prime factorisation of a set of 2 or 3 numbers using repeated division and use it to evaluate their HCF and their LCF, decide whether a given pair of numbers are relatively prime (coprime), simplify fractions as much as possible by dividing their numerator and denominator by their HCF , add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.
A test on fractions including the following topics: equivalent fractions, comparing fractions, adding and subtracting fractions, mixed numbers and improper fractions and adding and subtracting mixed numbers. Detailed solutions are included. Can be used as a worksheet.
A worksheet on percentage word problems which are solved using a ratio table. The exercises require to find the percentage of an amount, express a quantity as a percentage of another quantity and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.
A collection of four worksheets on differentiation. The questions require the use of basic rules for functions that are powers of a variable or sums of powers of a variable and application of differentiation to problems on kinematics. Detailed solutions are included.
A worksheet on inverse proportion. The problems require to calculate 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 finding the nth term and a partial sum of an arithmetic sequence (with positive difference) using the formulas. Detailed solutions are included. Good for GCSE/IGCSE students.
A worksheet on finding the highest common factor and the lowest common multiple of given pairs of numbers and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.
A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.
Four test for Year 9 maths, on the following topics: percentages, equations and formulae, fractions and mixed numbers and algebra. 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, reverse percentage problems, multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets, rearranging formulae to change the subject, adding, subtracting, multiplying and dividing fractions, multiplying and dividing fractions and mixed numbers, expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.
A worksheet on calculus. The exercises require to differentiate given equations, find the coordinates of the point at which the gradient of a curve takes a specific value, find the gradient of a curve at a given point, find the turning points of a curve (given its equation) and find the velocity and the acceleration given the equation of the displacement with respect to time. Good for GCSE/IGCSE students. Detailed solutions are provided.
