A worksheet on multiplying fractions by mixed numbers and mixed numbers by mixed numbers. Detailed solutions are included.

A worksheet on adding, subtracting, multiplying and dividing fractions and mixed numbers. Detailed solutions are included.

A worksheet on factorising algebraic expressions containing variables raised to a power. Solutions are included.

A worksheet on adding, subtracting, multiplying and dividing fractions and mixed numbers. 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 expressing integers as a product of their prime factors using repeated division. Detailed solutions are provided.

A worksheet on expanding the product of two brackets. Detailed solutions are included.

A worksheet on expanding single and double brackets and factorising algebraic expressions. Detailed solutions are included.

A test on equations and formulae. The exercises include multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets and rearranging formulae to change the subject . Detailed solutions are included.

A test on percentages. The exercises include writing amounts as percentages, working out percentages of a given amount, increasing and reducing an amount by a given percentage and working out the percentage increase or decrease in a word problem. Detailed solutions are included.

A worksheet on linear inequalities. Detailed solutions are included.

A test on sequences. The exercises include working out particular terms of a sequence given its nth term, working out the first few terms of a sequence given its first term and its common difference and working out the nth term of a sequence give the first few of its terms. Detailed solutions are included.

A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a_1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.

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 finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.

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 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 linear equations involving negative numbers. Detailed solutions are provided.

A worksheet on negative and fractional indices. 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.