A worksheet on equations involving algebraic fractions. Detailed solutions are provided.

A worksheet on solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.

A worksheet that aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs. Detailed solutions are provided.

A worksheet on solving simultaneous equations using substitution. Solutions are included.

A worksheet on solving quadratic equations by using the method of completing the square. Detailed solutions are included.

A worksheet on solving cubic equations using the factor theorem and long division of polynomials. Detailed 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 finding the highest common factor and the lowest common multiple of given pairs of numbers and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.

A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.

A worksheet on the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1. The exercises require to use these identities to evaluate expressions and trigonometric ratios and prove other identities. Detailed solutions are included.

A worksheet on The Basic Proportionality Theorem also known as Thales’ Theorem which states that if three or more parallel lines intersect two transversals, then they cut off the transversals proportionally. The exercises require to apply the theorem to find missing lengths or prove other statements. Detailed solutions are included.

A worksheet on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.

A worksheet on integrating functions involving powers, sums and differences. In some cases the expressions require to be simplified before integrating. Detailed solutions are provided.

A worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.

A worksheet on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. Good for A’ Level students.

A worksheet on deciding whether a given pair of triangles are congruent using the three rules: The three sides are equal (SSS) Two angles are the same and a corresponding side is the same (ASA) Two sides are equal and the angle between the two sides is equal (SAS) Detailed solutions are included.

A worksheet on expanding and factorizing algebraic expressions (including quadratics) and simplifying algebraic expressions (including algebraic fractions). Good for GCSE/IGCSE students. Detailed solutions are provided.

A worksheet on finding the equation of a line given a its gradient and a point on it and the equation passing through a point which is parallel/perpendicular to a given line. Detailed solutions are provided.

A worksheet on quadratic functions of the form f(x) = ax² + bx + c and equations of the form ax² + bx + c=0. The exercises require to use the graph of such functions to determine the sign of the discriminant and the solution or solutions if they exist, find the sign of a, the value of c the range of f, the line of symmetry of the graph and the maximum value of f. In addition, functions or equations of this form with parameters in them are given and the students are required to determine the values of the parameters so that the value has specific solutions, a given line of symmetry, a given number of roots or a given point of intersection with the y-axis. Detailed solutions are included.