An introductory worksheet on functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems. Detailed solutions are provided.

A worksheet on negative and fractional indices. Detailed solutions are included.

A worksheet on the following triangle and parallel lines theorems: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. The median to the hypotenuse of a right triangle is equal to half of the hypotenuse In a right triangle the side opposite the 30 degree angle is half the length of the hypotenuse. If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. Detailed solutions are included.

A worksheet on solving exponential equations of the form a^x=b or harder. Detailed solutions are included. Good for A level students.

An introductory worksheet on logarithms. The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations. Detailed solutions are included.

An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios, to associate the sine or cosine of an angle to the cosine or sine of its complementary angle and and to solve word problems using trigonometric ratios. Detailed solutions are included.

A worksheet on converting from one metric unit of area or volume to another. Solutions are included.

A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms, the cube of a sum or a difference of two terms and the difference of two squares. It included some more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.

A worksheet on evaluating missing angles or sides in a given right-angled triangle. Detailed solutions are included.

A worksheet on differentiation rules: power rule, constant rule and sum rule. Good for GCSE/IGCSE students.

A worksheet on rationalising the denominator of a given expression. Solutions are provided.

A worksheet on similar polygons. The exercises require to decide if given pairs of polygons are similar, to find the perimeter or the area or the lengths of the sides of a polygon given some information about a similar polygon. Detailed solutions are included.

A worksheet on using the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.

A worksheet on changing the subject of a formula. Detailed solutions are included.

A worksheet on inverse functions with harder exercises on this topic. Detailed solutions are included.

A worksheet on calculus. Good for GCSE/IGCSE students.

A worksheet on determining whether a function is even, odd or neither given its equation or graph. Detailed solutions are included.

A worksheet on deciding whether a function is injective or not given its equation or its graph. Solutions are included.

A worksheet on examining whether two given functions are equal. Detailed solutions are included.

A worksheet on changing the base of logarithms. Detailed solutions are included. Good for A level students.