Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
A worksheet on adding, subtracting, multiplying and dividing functions and determining the domain of the functions produced. Detailed solutions are included.
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. Solutions are included.
A worksheet on solving simultaneous equations using their graphs. The exercises require to find the solutions of given pairs of equations by identifying the point of intersection of their graphs which are given or must be drawn. 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.
A worksheet on composing functions. It includes harder exercises 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. 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:
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 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 worksheet 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. 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 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 worksheet on multiplying fractions by fractions, fractions by mixed numbers, fractions by whole numbers, mixed numbers by mixed numbers and mixed numbers by whole numbers. Detailed solutions are included.
A worksheet on nth roots. The exercises include evaluating nth roots, simplifying expressions and solving equations involving nth roots. 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.