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.

A collection of three worksheets on the following topics: Function Operations: adding, subtracting, multiplying and dividing functions and determining the domain of the functions produced Equality of Functions: examining whether two given functions are equal Composition of Functions: composing functions including harder cases on this topic where the domain of the composition has to be determined based on the domains of the two original functions 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 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 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 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 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 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 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 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 four worksheets on logarithms. The following worksheets are included: Basic properties of logarithms Addition and power laws of logarithms Laws of logarithms Changing the base of logarithms Solutions are provided.

A collection of 8 worksheets on functions. The following topics are included: Identifying Graphs of Functions Identifying Functions, Domain and Range-Set of Ordered Pairs Evaluating Functions Even and Odd Functions Equality of Functions Composition of Functions Injective Functions Inverse Functions (harder) Solutions are provided.

A collection of 16 worksheets on fractions. The following topics are included: Equivalent fractions Comparing fractions Simplifying fractions Simplifying fractions (harder) Equivalences between fractions, decimals and percentages Improper fractions and mixed numbers Adding fractions Subtracting fractions Multiplying fractions Dividing fractions Adding, subtracting, multiplying and dividing fractions and whole numbers Addition between fractions and mixed numbers Subtraction between fractions and mixed numbers Multiplication of Fractions and Mixed Numbers Division between fractions and mixed numbers Adding three fractions Solutions are provided.