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 the angle sum and difference trigonometric identities for sine and cosine (sin(a+b), sin(a-b), cos(a+b) and cos (a-b). The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.
From https://mathamaniacs.com/
A worksheet on the angle sum and difference trigonometric identities for tangent and cotangent. The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.
A worksheet on solving linear equations. The exercises include one-step equations, two-step equations, equations with brackets and equations with fractions. Detailed solutions are included.
From https://mathamaniacs.com/
A collection of three worksheets on the following topics:
angle sum and difference trigonometric identities for sine and cosine
angle sum and difference trigonometric identities for tangent and cotangent
double angle identities for sine, cosine, tangent and cotangent
The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.
A worksheet on double angle identities for sine, cosine, tangent and cotangent. The exercises require to evaluate the exact values of such trigonometric numbers and prove identities involving them. Detailed solutions are included.
A collection of three worksheets on solving linear equations. The exercises include one-step equations, two-step equations, equations with brackets and equations with fractions. Detailed solutions are included.
A collection of three worksheets on the following topics:
Sine Rule
Cosine Rule
Area of a Triangle Using The Sine Formula
Detailed solutions are included.
A worksheet on solving linear equations. The exercises involve simple linear equations, linear equations with brackets and linear equations with fractions. Detailed solutions are included.
A worksheet on linear equations of the form x=a, y=b and y=ax. The exercises require the students to find the equations of some lines given their graphs, the points of intersection of these lines and generalize their findings. 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 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 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 quadratic functions of the form f(x) = ax² + bx + c and equations of the form ax² + bx + c=0. The exercises require to use the graph of such functions to determine the sign of the discriminant and the solution or solutions if they exist, find the sign of a, the value of c the range of f, the line of symmetry of the graph and the maximum value of f. In addition, functions or equations of this form with parameters in them are given and the students are required to determine the values of the parameters so that the value has specific solutions, a given line of symmetry, a given number of roots or a given point of intersection with the y-axis.
Detailed solutions are included.
