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

A worksheet on the union and intersection of two or more sets and the complement of a set. Detailed solutions are included.

A worksheet on laws of indices with harder exercises on this topic, that require to fill the missing terms or numbers in given calculations. Solutions are included.

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

A worksheet on sequences. The exercises include writing down the next terms of a given sequence, writing down the first few terms of a sequence given its nth term, identifying the nth term of a given sequence, calculating the sum of a number of terms of a given sequence and finding the missing terms in a given sequence. Detailed solutions are included.

A worksheet with word problems on dividing amounts in a given ratio. Detailed solutions are included.

A worksheet on direct proportion. The problems require to decide whether two quantities are directly proportional or not given two pairs of their values and determine the values of two directly proportional quantities . Detailed solutions are included.

A test on elementary probability. The exercises require the use of theoretical probability, that is probability written as a ratio of the number of favorable outcomes to the number of possible outcomes. 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 algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.

A test on percentages. The exercises include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change and reverse percentage problems. Detailed solutions are included.

A test on the following topics: multiplying and dividing positive and negative numbers, finding the factors of a given number, finding the HCF and the LCM of two given numbers and finding the prime factorisation of a number. Detailed solutions are included.

A test on elementary probability. The exercises require the use of theoretical probability, that is probability written as a ratio of the number of favorable outcomes to the number of possible outcomes. Detailed solutions are included.

A test on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.

A worksheet on proving algebraic identities 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 test on fractions including the following topics: equivalent fractions, comparing fractions, adding and subtracting fractions, mixed numbers and improper fractions and adding and subtracting mixed numbers. Detailed solutions are included. Can be used as a worksheet.

A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers (to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. Detailed solutions are included.

A worksheet on simplifying algebraic expressions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.

A worksheet on linear inequalities. Detailed solutions are included.

A worksheet on factorising quadratic expressions in which the coefficient of the leading term is one and the constant term is less than zero. Solutions are provided.