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 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.

Three worksheets on simplifying algebraic expressions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.

Three worksheets on simplifying algebraic expressions and algebraic fractions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.

A collection of three worksheets on addition, subtraction, multiplication and division of integers and addition and subtraction of positive and negative fractions. Detailed solutions are included.

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

A collection of three worksheets. Two worksheets on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. One worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees. Detailed solutions are included.

Three worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals) and the order of operations in calculations with such numbers. 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 collection of three worksheets on multiplying and dividing mixed numbers. The first is on multiplication, the second is on division and the third is on both operations. Detailed solutions are included.

Three worksheets on finding the midpoint of a line segment joining two points. Solutions are included.

A collection of three worksheets. Two worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular and one 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 collection of three worksheets on the following: determining the gradient of a straight line after rearranging its equation to the slope-intercept form, deciding whether two given lines are parallel, perpendicular or neither and determining whether two lines are parallel, intersect (perpendicularly or not) or coincide using their equation and their gradient. Solutions are provided.

Three worksheets on calculating the distance of the line segment joining two points and the coordinates of their midpoint. One on the midpoint, one on the distance and one on both. Solutions are included.

Three worksheets on factorising perfect squares, the difference of two squares and the sum and difference of two cubes . Solutions are included.

Three worksheets for Year 9 students on the following topics: Metric units for area and volume Metric units for capacity Detailed solutions are included.

Three worksheets on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.

A collection of three worksheets on solving one-step, two-step and harder linear equations. Detailed solutions are included.

Three worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. One of the worksheets has elementary exercises and the other two have harder exercises. Detailed solutions are included.

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.

A collection of six worksheets with GCSE/IGCSE style questions on algebra and number topics such as simplifying algebraic expressions, factorisation, algebraic fractions, operations between fractions, hcf and lcm and surds, Detailed solutions are included.