A worksheet on expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate. Detailed solutions are provided.

A worksheet on substituting given values into algebraic expressions. Good introductory exercises for this topic. Detailed solutions are provided.

A worksheet on expanding brackets and factoring algebraic expressions. The first exercise requires to multiply brackets by a term which can be a number, a variable or a combination of both and then simplify the resulting expression by collecting like terms. The second exercise requires to factor some expressions by taking out the highest common factor of their terms. Detailed solutions are provided.

A worksheet on factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. Detailed solutions are included.

A worksheet on solving equations with algebraic fractions. Detailed solutions are provided.

A worksheet on the triangle inequalities that state that: The sum of any two sides of a triangle is always greater than the third side. The modulus of the difference of any two sides of a triangle is always smaller than the third side. The side opposite to the larger angle is longer, in any triangle. Detailed solutions are included.

A worksheet on adding and subtracting mixed numbers. Detailed solutions are included.

A worksheet on finding the midpoint of a line segment joining two points. Solutions are included. From https://mathamaniacs.com/

A worksheet on simplifying expressions by collecting like terms. Good introductory worksheet to this topic. Solutions are included.

A worksheet on writing fractions in their simplest form. Answers are included.

An introductory worksheet on vectors and the notions of magnitude of a vector, parallel vectors, like vectors, unlike vectors, equal vectors and opposite vectors.Detailed solutions are included.

A worksheet on polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Detailed solutions are included.

A worksheet on calculating the angles of the sectors in a pie chart. Solutions are included.

A worksheet on finding the appropriate multiplier to calculate a percentage, and increase or decrease an amount by a percentage. Solutions are included.

A worksheet on multiplying and dividing decimals and whole numbers by 10, 100 and 1000. It consists of three exercises. The first exercise is on multiplication, the second on division and the third has mixed calculations on both multiplication and division. Solutions are provided.

A worksheet on solving linear equations by clearing fractions. Detailed solutions are provided.

A worksheet on solving equations involving two operations. Detailed solutions are included.

A worksheet on calculating percentages of given amounts. Detailed solutions are included.

A worksheet on decreasing an amount by a percentage. No calculator is needed for finding the answers. Detailed solutions are provided.

A worksheet introducing students to the concept of ratios. The exercises include converting ratios to fractions, writing and simplifying ratios. Solutions are included.