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 using the trigonometric identities that convert as sum of two sines or two cosines to a product of sines or cosines. The exercises include using these identities to evaluate expressions and proving other identities. Detailed solutions are included.
A worksheet about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. Detailed solutions are provided.
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 special cases of logarithms and the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.
A worksheet on Venn diagrams, 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) and probability. Detailed solutions are included.
This is a worksheet to help students strengthen their skills in the concept of parallel lines cut by a transversal. The following angle relationships occur in the exercises: complementary angles, supplementary angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive interior angles and corresponding angles.
In the first two exercises, students are given a diagram with two parallel lines cut by a transversal and are required to identify the relationships between some given pairs of angles. In the next exercises, students are given some diagrams with missing angles which are required to find by using their knowledge on the topic. Elementary and harder exercises are included.
Detailed solutions (with reasoning) are provided.
A worksheet on direct and inverse proportion. The problems require to calculate the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other. Detailed solutions are included.
A worksheet on finding the domain and range of a function. The exercises include polynomial functions, rational functions and functions with square roots. Detailed solutions are included.