A worksheet on sum and product of roots of quadratics. The exercises require to find the sum or product of the roots of a given quadratic equation, evaluate parameters in a given quadratic equation so that its roots have a specific sum or product, find a quadratic equation given its roots, factorise quadratic expressions and simplify algebraic fractions involving quadratic expressions. Detailed solutions are included.

A worksheet on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. Detailed solutions are included.

A worksheet on nth roots. The exercises include evaluating nth roots, simplifying expressions and solving equations involving nth roots. Solutions are provided.

A worksheet on expressing trigonometric ratios in terms of trigonometric ratios of acute angles. Solutions are included.

A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. Detailed solutions are included.

A worksheet on solving equations with algebraic fractions. It consists of 10 questions. In each of these, an equation with algebraic fractions is given and after removing the denominators it leads to either a linear or a quadratic equation whose solution or solutions are either rational numbers or expressions with surds. Detailed solutions are provided.

A worksheet on factorising simple algebraic expressions and quadratic expressions involving trinomials with leading coefficient one or greater. Solutions are included. Good for GCSE/IGCSE students.

A worksheet on simplifying algebraic fractions. Detailed solutions are provided. From https://mathamaniacs.com/

A worksheet on checking whether two given lines are perpendicular or not. Detailed solutions are included.

A worksheet on completing the square and solving quadratic equations by completing the square. Detailed solutions are included.

A worksheet on rearranging formulae with detailed solutions. Contains harder questions on this topic. Good for GCSE students.

A worksheet on factorising cubic polynomials using the factor theorem. Solutions are included.

A worksheet on formulae and equations. Exercises involve substitution into formulae, changing the subject of a formula, simplifying expressions by collecting like terms, expanding brackets and simplifying, simplifying expressions with indices and solving linear equations. Good revision for GCSE/IGCSE students.

A long worksheet on performing the four operations between whole numbers, fractions and mixed numbers consisting of 16 exercises. Detailed solutions are included.

A worksheet on double angle identities for sine, cosine, tangent and cotangent. The exercises require to evaluate the exact values of such trigonometric numbers and prove identities involving them. Detailed solutions are included.

An introductory worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included.

A worksheet on the angle sum and difference trigonometric identities for tangent and cotangent. The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.

A worksheet on differentiating a function of a function using the chain rule. Detailed solutions are included. From https://mathamaniacs.com/

A worksheet on the cosine rule. Detailed solutions are included.

A worksheet on proving theorems using direct proof. Detailed solutions are included.