Three worksheets on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor and their lowest common multiple. Detailed solutions are included.From https://mathamaniacs.com/

A collection of three worksheets on the following topics: Identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers. Prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations. Finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor. Detailed solutions are included.

A collection of three worksheets on the following topics: Dividing polynomials using long division Using division to factor polynomials Factorising a polynomial using the factor theorem In the first worksheet, students are required to perform long division for some given pairs of polynomials. In the second worksheet, students must use polynomial division to find the remaining linear factors of a polynomial, given one of its factors. In other exercises, students must find a polynomial using multiplication given all its factors, find the highest common factor of given algebraic expressions and find missing terms in factorized expressions. In the third worksheet, students are required to check whether a given polynomial is a factor of another polynomial by using the factor theorem and then in some other exercises they are required to factor cubic polynomials by first finding one of its linear factors (by checking given polynomials or inspecting using the factor theorem) and then using long division to find the remaining linear factors. Detailed solutions are included.

A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. Detailed solutions are included.

A collection of five worksheets on adding, subtracting, multiplying and dividing polynomials. Detailed solutions are included.

A collection of four worksheets on adding, subtracting, multiplying and dividing polynomials. Detailed solutions are included.

Three worksheets on adding, subtracting, multiplying and dividing polynomials. Solutions are included.

Twelve worksheets on quadratic factorisation including expressions with the coefficient of the square equal to 1 and greater than 1, perfect squares and difference of two squares. Solutions are included. Good for GCSE/IGCSE students.

Three worksheet on factorising quadratics including the special cases of perfect squares and difference of two squares. Detailed solutions are provided.

Five worksheets on factorising quadratics including the cases of factorising by taking a common factor, factorising perfect squares, factorising difference of two squares and factorising quadratics with the coefficient of the square being 1 or greater. In addition one worksheet includs exercises on simplifying algebraic fractions. Good for GCSE/IGCSE students. Detailed solutions are provided. From https://mathamaniacs.com/

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.

A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification. The following worksheet are included: Multiplying out two brackets Multiplying three brackets Factorising quadratics Simplifying algebraic fractions Operations with algebraic fractions Completing the square Detailed solutions are included.