A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.

A worksheet on determining the sign of a trinomial in each interval by using the real roots that it has and the sign of its leading coefficient and solving quadratic inequalities using this method. Solutions are provided.

A worksheet on factorising quadratic expressions in which the coefficient of the leading term is one and the other two coefficients are greater than zero. Solutions are provided.

A worksheet on solving equations with one, infinite and no solutions. Detailed solutions are included.

A worksheet on solving simultaneous equations using the methods of substitution and elimination. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.

A worksheet on identifying the first few terms of an arithmetic sequence given the nth term formula or the first term and the common difference and finding the nth term formula of a given linear sequence. Solutions are included. From https://mathamaniacs.com/

A worksheet on solving simple linear equations including the cases where there are fractions and brackets. Detailed solutions are included.

A worksheet on simplifying expressions with surds and rationalising the denominator of a fraction. Appropriate for GCSE/IGCSE students. From https://mathamaniacs.com/

A worksheet on adding, subtracting, multiplying and dividing positive and negative numbers. Solutions are included.

A worksheet on factoring quadratics including the cases of factoring by taking a common factor, factoring perfect squares, factoring difference of two squares and factoring quadratics with the coefficient of the square being 1 or greater. Detailed solutions are provided.

A worksheet on factoring quadratics. Including quadratic expressions that can be factored by taking out the highest common factor of their terms, trinomials with leading coefficient one or greater and the special cases of perfect squares and difference of two squares. Good for GCSE/IGCSE students. Detailed solutions are provided.

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

A worksheet on equivalent fractions, addition, subtraction, multiplication and division of fractions. Solutions are included.

A worksheet on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor and their lowest common multiple. Detailed solutions are included.

A worksheet on solving equations involving fractions. Detailed solutions are provided.

A worksheet on recognising numbers in standard form, writing ordinary numbers in standard form and vice versa. Solutions are included.

A worksheet on expressing ordinary numbers in standard form and vice versa and performing calculations with numbers in standard form. Solutions are provided. Appropriate for GCSE/IGCSE students.

A worksheet on multiplying mixed numbers and whole numbers. Detailed solutions are provided. From https://mathamaniacs.com/

A worksheet on generating a sequence given its nth term and finding the nth term given the first few terms of a sequence. Detailed solutions are provided. From https://mathamaniacs.com/

A worksheet on solving linear equations involving various cases such as: linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.