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.

A collection of three worksheets on the following topics: Identifying Graphs of Functions: identifying whether a given graph represents a function Domain and Range of a Function: finding the domain and range of a function ( polynomial functions, rational functions and functions with square roots) Even and Odd Functions Bundle: determining whether a function is even, odd or neither given its equation or graph. 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 three worksheets on the following: writing linear equations in slope-intercept form by rearranging them matching graphs of linear functions to their equations drawing graphs of linear equations. Solutions are included.

A collection of three worksheets. One worksheet on matching graphs of linear functions to their equations and two worksheets on solving simultaneous equations using their graphs. Detailed solutions are included.

A collection of three worksheets on the following topics: Sum of angles in a triangle: a worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees Exterior Angles of a Triangle: a worksheet on the exterior angles of a triangle. The exercises require to use the fact that an exterior angle of a triangle is equal to the sum of the two interior opposite angles. Interior and exterior angles in regular polygons: a worksheet on calculate the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons. Detailed solutions are provided.