A worksheet on simplifying expressions with surds. Solutions are included. Appropriate for GCSE/IGCSE students.

A worksheet on highest common factor, lowest common multiple and product of primes. The exercises require to express given pairs of numbers as products of their prime factors and then using these products find their highest common factor and their lowest common multiple. Detailed solutions are included.

A worksheet on rounding numbers to the nearest tenth, hundredth, thousandth, ten, hundred and thousand. From https://mathamaniacs.com/

A worksheet about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. It consists of 120 problems. Detailed solutions are provided. Good practise for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html

A worksheet on factoring difference of squares with worked solutions.

A worksheet on factorising polynomials by taking out the greatest common monomial factor. Worked solutions are provided. From https://mathamaniacs.com/

A worksheet on changing recurring decimals into fractions including recurring decimals with repeating digits only. Detailed solutions are provided.

A worksheet on adding, subtracting, multiplying, dividing and evaluating powers of positive and negative numbers (integers, fractions and decimals). The exercises include calculations with one of each of the four operations and calculations with more than one operations (where the order of operations must be used). Detailed solutions are included.

A worksheet on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included.

A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. Detailed solutions are included.

A worksheet on equations involving algebraic fractions. Detailed solutions are provided.

A worksheet on percentage word problems. 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 worksheet on solving quadratic equations by using the method of completing the square. Detailed solutions are included.

A worksheet on the sum of the terms of a geometric sequence or geometric series. The exercises require to find the sum of a number of terms of a geometric sequence given the first terms and the common ratio, the first few terms of the sequence, the sum of two pairs of terms of the sequence (by solving a system of simultaneous equations), the first and the last term of the sequence. In addition some exercises require to find the sum to infinity of a given geometric sequence given its first term and its common ratio or its first terms Detailed solutions are included.

A worksheet on solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.

A worksheet on solving simultaneous equations using substitution. Solutions are included.

A worksheet that aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs. Detailed solutions are provided.

A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. Detailed solutions are included.

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 on solving equations with algebraic fractions. It consists of 10 questions. In each of these, an equation with algebraic fractions is given and after removing the denominators it leads to either a linear or a quadratic equation whose solution or solutions are either rational numbers or expressions with surds. Detailed solutions are provided.