A worksheet on calculating the distance of the line segment joining two points and the coordinates of their midpoint. Solutions are included.

A worksheet on factoring the sum of two cubes. Solutions are included.

A worksheet on expanding a cube of a difference of two algebraic terms. Solutions are included.

A worksheet on expanding a cube of a sum of two algebraic terms. Solutions are included.

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. Solutions are included.

A worksheet on solving linear equations including harder cases involving brackets or fractions. Detailed solutions are included.

A worksheet on adding, subtracting, multiplying and dividing monomials. Five pages of exercises are included and their solutions follow.

A worksheet on expanding algebraic expressions of the form (a+b)(a-b). Solutions are included.

A worksheet on expanding algebraic expressions of the form (a+b)(a-b). Solutions are included.

A worksheet introducing the students to 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 worksheet introducing the students to subtraction 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 worksheet introducing the students to addition 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 decide whether some statements are true or false. Solutions are included.

A worksheet 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 and add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators. Detailed solutions are included.

A worksheet introducing the students to multiplication 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 worksheet on multiplying and dividing fractions and whole numbers. Detailed solutions are provided.

A worksheet on prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division. Detailed solutions are included.

A worksheet 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. Detailed solutions are provided. Good for GCSE/IGCSE students.

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 centres. Detailed solutions are included.

A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.

A worksheet on rational exponents. The exercises include converting written in exponential form to radical form and vice versa and simplifying powers with rational exponents. Solutions are provided.