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 the order of operations in calculations with integers (positive and negative). The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.

A worksheet on evaluating the limit of a polynomial or rational function. The exercises aim to teach students that in order to find the limit of such functions you substitute the value of the limit and in the cases where the denominator is zero you simplify the function if possible and then substitute. Detailed solutions are provided.

An introductory worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. Detailed solutions are included.

A worksheet on examining whether two given functions are equal by examining their domain and their value at each element of their domain. Detailed solutions are included.

A worksheet on examining whether a function is one-to-one, given its equation, mapping diagram, set of ordered pairs or graph. Detailed solutions are included.

A worksheet on adding, subtracting, multiplying and dividing functions and determining the domain of the functions produced. Detailed solutions are included.

A worksheet on prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division. Detailed solutions are included.

A worksheet introducing the students to the concept of absolute value. Solutions are included.

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

A worksheet on prime factorisation. The exercises require to find the prime factorisation of a number using repeated division. Detailed solutions are included.

A worksheet on HCF and LCM. The exercises require to find the prime factorisation of a set of 2 or 3 numbers using repeated division and use it to evaluate their HCF and their LCF, decide whether a given pair of numbers are relatively prime (coprime), simplify fractions as much as possible by dividing their numerator and denominator by their HCF and add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators. Detailed solutions are included.

A worksheet on determining whether a number belongs in the sets of natural numbers, integers, rational numbers and real numbers. It consists of a table to be completed. Solutions are included.

A worksheet introducing the students to division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and compare numerical expressions. Solutions are included.

A worksheet introducing the students to multiplication of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and compare numerical expressions. Solutions are included.

A worksheet on the sum of the terms of a geometric sequence or geometric series. The exercises require to find the sum of a number of terms of a geometric sequence given the first terms and the common ratio, the first few terms of the sequence, the sum of two pairs of terms of the sequence (by solving a system of simultaneous equations), the first and the last term of the sequence. In addition some exercises require to find the sum to infinity of a given geometric sequence given its first term and its common ratio or its first terms Detailed solutions are included.