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.

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.

A worksheet on negative and fractional indices. Detailed 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.

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

A worksheet on solving linear equations involving negative numbers. Detailed solutions are provided.

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

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

A worksheet on linear inequalities. Detailed solutions are included.

A worksheet on linear inequalities. Detailed solutions are included.

A worksheet on solving equations with one, infinite and no solutions. Detailed solutions are included.

A worksheet on solving equations involving square roots that lead to a linear equation after squaring. Detailed solutions are included.

A worksheet on converting binary numbers to decimal and vice versa. Detailed solutions are included.

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 remainder theorem to find the remainder when a polynomial is divided by a linear polynomial. Solutions are included.

A worksheet on converting binary numbers to decimal and vice versa. Detailed solutions are included.

A worksheet on rationalising the denominator of a given expression. 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 differentiation rules: power rule, constant rule and sum rule. Good for GCSE/IGCSE students.