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 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 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 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 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 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 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 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 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 worksheet on 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 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.