A worksheet on the triangle exterior angle theorem. The exercises require to find missing angles by using the triangle exterior angle theorem. Detailed solutions are included.

A large collection of 24 worksheets (253 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Detailed solutions are included.

An introductory worksheet on powers. The exercises require converting a product of factors to a power, calculating the value of a given power, identifying the base and the exponent of a given power and ordering powers. Solutions are included.

A worksheet on determining the gradient and the y-intercept of a straight line from its equation.

A worksheet on converting mixed numbers to improper fractions, consisting of 34 exercises. Detailed solutions are provided.

A worksheet on factorising algebraic expressions using the method of grouping. The first exercise is on factoring algebraic expressions by taking the highest common factor of their terms and the remaining exercises are on factoring by grouping. Detailed solutions are included.

A lesson on factorizing trinomials with leading coefficient 1. The students are first asked to multiply out pairs of brackets containing linear polynomials. Then they are asked to make some observations. They are expected to observe that in the trinomial obtained after multiplying out the brackets the coefficient of x is the sum of the numbers in the brackets and the constant term is their product. Then they are asked to generalize that for any pair of linear polynomials. Once this result has been established, they are given some trinomials with leading coefficient equal to one and are asked to factorize them. In this exercises they must work in the converse way, they must try to find pairs of numbers whose product and sum equal the coefficients of the given polynomial. Finally, there is an exercise on signs, including the four possible combinations of signs for the product and sum of the trinomial. Detailed solutions are provided.

A worksheet on converting between cubic mm, cm, m and ml, cl, l. Solutions are included.

A worksheet on multiplying and dividing surds. Solutions are included.

A worksheet on multiplying and dividing whole numbers and decimal numbers by 10, 100 and 1000. Solutions are included.

A worksheet on dividing whole numbers and decimal numbers by 10, 100 and 1000. 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 simplifying algebraic expressions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.