Four worksheets on simplifying expressions with surds and rationalising the denominator of a fraction.

A collection of three worksheets. One on factorising perfect squares and two on factorising the difference of two squares. Detailed solutions are included.

Three worksheets on identifying the gradient and y-intercept of a line given its equation, finding the gradient of a line that passes through two points, finding the equation given the gradient and y-intercept or given the gradient and one point or given two points. Detailed solutions are included. Good for GCSE/ IGCSE students.

A collection of three worksheets on the following: Simplifying ratios, solving introductory word problems with ratios and dividing an amount in a given ratio. Solving linear equations (proportions) by cross multiplication. Solving 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 three worksheets on functions. The first worksheet aims to introduce the concept of functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems. The second worksheet 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. The third worksheet is on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.

A collection of three worksheets on differentiating using the basic rules for functions that are constant, powers of a variable or sums of powers of a variable, products of a constant and another function, products or quotients of two functions. The two worksheets are on functions that are powers of a variable or sums of powers of a variable and the third is on all the above rules. Detailed solutions are provided.

A collection of three worksheets on the order of operations in calculations with integers (positive and negative). One of the worksheets is on positive integers only and the other two on both positive and negative integers. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.

Three worksheets on finding missing numbers in calculations involving addition and subtraction with integers. Solutions are included.

Three worksheets on adding and subtracting positive and negative fractions with common and different denominators. Solutions are included.