A collection of three worksheets on the following topics: Factorising algebraic expressions involving trinomials (quadratics) and perfect squares. Solving equations of second or higher degree using factorisation and the quadratic formula. Simplifying algebraic fractions. Detailed solutions are included.

A collection of four worksheets on multiplying out brackets. The first is on multiplying brackets by a single number or a single variable (positive or negative). The second is on multiplying out two brackets and simplifying the answer by collecting like terms. The third is on multiplying brackets by a term which can be a single number or variable (positive or negative) or a combination of a number with a variable. The fourth is on multiplying out two brackets and simplifying the answer by collecting like terms and contains harder exercises. Detailed solutions are included.

A collection of three worksheets on the following topics: Polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. Factorising algebraic expressions involving differences of two squares or differences and sums of two cubes. Detailed solutions are included.

Three worksheets on substituting given values into algebraic expressions. Good introductory exercises for this topic. Detailed solutions are provided. From https://mathamaniacs.com/

Three worksheets on the triangle angle theorem and triangle exterior angle theorem. The exercises require to find missing angles by using the two theorems. Detailed solutions are included. There is one worksheet on each theorem and one worksheet on both theorems.

Three worksheets on the following topics. Parts of a Circle: A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them. Circumference and area of a circle: A worksheet on finding the circumference and area of a circle given its radius or diameter. Relative Position of Two Circles: A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centers. Detailed solutions are included.

Three worksheets on operations and linear equations with positive and negative numbers. A worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. And two worksheets on solving linear equations involving various cases such as: one-step and two-step linear , linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.

Three worksheets on Venn diagrams, set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set) and probability. Detailed solutions are included. From https://mathamaniacs.com/

Three worksheets on expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. Solutions are included.

A collection of three worksheets. A worksheet on evaluating powers of positive and negative integers. A worksheet on evaluating powers of positive and negative fractions. And a worksheet on evaluating powers with negative (integer or fraction). The exponents in these powers are positive integers or zero.Solutions are included.

Three worksheets on expanding a cube of a sum or difference of two algebraic terms. One worksheet on the sum, one on the difference and one on both. Solutions are included.

Four worksheets introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and compare numerical expressions. Solutions are included.

A collection of four worksheets on expanding differences of two squares, perfect squares, perfect cubes and the square of a trinomial. Solutions are included.

A collection of four worksheets on operations with positive and negative numbers. Detailed solutions are included.

A collection of three worksheets on factorising quadratic expressions with the coefficient of the leading term being one. Solutions are provided.

A collection of 5 worksheets on Calculus based on the GCSE 9-1 specification. In these worksheets students are taught to understand the concept of a variable rate of change, differentiate integer powers of x, determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs, distinguish between maxima and minima by considering the general shape of the graph and apply calculus to linear kinematics and to other simple practical 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.

Three tests on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.

Three worksheets on solving simultaneous equations using their graphs. Detailed solutions are included.

A collection of three worksheets on multiplying and dividing mixed numbers by mixed numbers, mixed numbers by fractions and vice versa, mixed numbers by whole numbers and vice versa and fractions by whole numbers and vice versa. The first is on multiplication, the second is on division and the third is on both operations. Detailed solutions are included.