Five worksheets about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. Detailed solutions are provided. Good practise for GCSE/IGCSE students.

A collection of three worksheets on algebraic fractions. The first is on adding and subtracting algebraic fractions. The second is on multiplying and dividing algebraic fractions. The third is about simplifying algebraic fractions by cancelling the common factors of numerator and denominator and involves factorisation of trinomials using perfect squares and difference of two squares. Detailed solutions are provided. Good practice for GCSE/IGCSE students.

A collection of three worksheets on the following: factorising simple algebraic expressions by taking a common factor dividing polynomials using long division 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. ) Detailed solutions are included.

Three worksheets on factorising simple expressions. Good introduction to this topic. Solutions are included.

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