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 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.
Three worksheets on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. Solutions are included.
A worksheet on the following circle theorems:
Angle at the centre theorem
Angles in the same segment theorem
Angles in a semicircle theorem
Cyclic quadrilateral theorem
Central angle and corresponding arc theorem
Arcs between parallel chords theorem
Detailed solutions are included.
A worksheet on polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Detailed solutions are included.
A collection of three worksheets on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. Detailed solutions are included.
A worksheet on similar polygons. The exercises require to decide if given pairs of polygons are similar, to find the perimeter or the area or the lengths of the sides of a polygon given some information about a similar polygon. Detailed solutions are included.
A worksheet on the triangle inequalities that state that:
The sum of any two sides of a triangle is always greater than the third side.
The modulus of the difference of any two sides of a triangle is always smaller than the third side.
The side opposite to the larger angle is longer, in any triangle.
Detailed solutions are included.
