A collection of 5 worksheets on Calculus based on the GCSE 9-1 specification. In these worksheets students are taught to understand the concept of a variable rate of change, differentiate integer powers of x, determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs, distinguish between maxima and minima by considering the general shape of the graph and apply calculus to linear kinematics and to other simple practical problems). Detailed solutions are included.

A collection of 4 worksheets on arithmetic sequences based on the GCSE 9-1 specification. In these worksheets students are taught to understand and use common difference (d) and first term (a) in an arithmetic sequence, know and use nth term =a+(n-1)d and find the sum of the first n terms of an arithmetic series. Detailed solutions are included.

A collection of 6 worksheets on angles, lines and triangles based on the GCSE 9-1 specification. The following worksheets are included: Types of angles Complementary, supplementary and opposite angles Angles in parallel lines Sum of angles in a triangle Exterior Angles of a Triangle Isosceles, Equilateral and Right-Angled Triangles Detailed solutions are included.

A collection of 3 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: Solving simultaneous equations using elimination Solving simultaneous equations using substitution Graphical Solution of Simultaneous Equations Detailed solutions are included.

A collection of 4 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: Changing the subject of a formula Changing the subject of a formula (harder questions) Equations with variables on both sides Linear equations with brackets and the variable in both sides Detailed solutions are included.

A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification. The following worksheet are included: Multiplying out two brackets Multiplying three brackets Factorising quadratics Simplifying algebraic fractions Operations with algebraic fractions Completing the square Detailed solutions are included.

A collection of three worksheets on the following topics: Domain and Range of a Function:The exercises include polynomial functions, rational functions and functions with square roots. Injective Functions: The exercises require to decide whether a function is injective or not given its equation or its graph. Inverse Functions: The exercises require to decide whether a given function is invertible, find the inverse function and the domain of the inverse function. Detailed solutions are included.

A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification. The following worksheet are included: Introduction to ratios: converting ratios to fractions, writing and simplifying ratios Simplifying ratios Ratios: simplifying ratios and dividing an amount in a given ratio Dividing amounts in a given ratio Direct proportion: calculating the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other Detailed solutions are included.

A collection of 7 worksheets on percentages based on the GCSE 9-1 specification. The following are included: Expressing one quantity as a percentage of another (non-calculator) Expressing one quantity as a percentage of another (calculator) Percentages, fractions and decimals: conversions between the three of them and word problems Percentage of a quantity (non-calculator): finding the percentage of a quantity without the use of a calculator Increasing or decreasing an amount by a percentage (non-calculator): increasing or decreasing an amount by a given percentage without using a calculator Reverse percentage Compound interest Detailed solutions are included.

A collection of three worksheets on multiplying and dividing fractions by fractions, fractions by mixed numbers, fractions by whole numbers, mixed numbers by mixed numbers and mixed numbers by whole numbers. One worksheet on multiplication, one on division and one on both operations. Detailed solutions are included.

A collection of 4 worksheets on set language and notation based on the GCSE 9-1 specification. The following are included: An introductory worksheet on sets. The exercises require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to. A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. A worksheet on the union and intersection of two or more sets and the complement of a set. A worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.

A collection of 12 worksheets on fractions based on the GCSE 9-1 specification. The following topics are included: Equivalent fractions Simplifying fractions Mixed numbers to improper fractions Improper fractions to mixed numbers Ordering fractions Fraction of an amount Adding and subtracting fractions and mixed numbers Equivalences between fractions, decimals and percentages Multiplying fractions Dividing fractions Multiplying and dividing mixed numbers Multiplying and dividing fractions and mixed numbers Detailed solutions are included.

A collection of eight worksheets on integers based on the GCSE 9-1 specification. The following topics are included: Place value-Ordering numbers: ordering sequences of five numbers with up to 6 digits Operations with directed numbers: performing the four operations with directed numbers Ordering and comparing integers: putting integers in ascending order and comparing integers using the symbols < and > Order of operations in calculations with positive and negative numbers: evaluating expressions involving the four operations between positive positive and negative numbers (addition, subtraction, multiplication, division and exponents) Identifying Prime Numbers: finding the factors of given numbers, identifying the numbers that are prime and making general conclusions about prime numbers Prime factors of an integer using division: expressing integers as a product of their prime factors using repeated division Factors and multiples: identifying the factors and the multiples of given numbers Highest common factor, lowest common multiple and product of primes: evaluating the highest common factor and the lowest common multiple of numbers after expressing them as a product of primes Detailed solutions are included.