A worksheet on composite functions. Solutions are included.

A worksheet on using polynomial long division to factor polynomials. In some of the exercises, 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. Detailed solutions are included.

A worksheet on determining whether two lines are parallel or not. The equations of the two lines are given and using them students can derive their gradients and then conclude if they are parallel or not. Detailed solutions are included.

A worksheet about converting recurring decimals to fractions. Detailed solutions are provided. Good practice for GCSE/IGCSE students.

A worksheet 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.

A worksheet on multiplying numbers by 25 and 15 and dividing numbers by 25, 20 and 16 mentally. Detailed solutions are included.

A worksheet 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 lowest common multiple. Detailed solutions are included.