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 3 worksheets. Two worksheets on writing linear equations in slope-intercept form by rearranging them and one worksheet on identifying the gradient and y-intercept of a straight line given its equation. Solutions are included. From https://mathamaniacs.com/
Three worksheets on Changing Recurring Decimals into Fractions. The first is on recurring decimals with repeating digits, the second is on recurring decimals with repeating and nonrepeating digits and the third covers both cases. Detailed solutions are provided. Good for GCSE/IGCSE students. From: https://placeformath.blogspot.com.cy/
Three worksheets on the following topics: conversions between percentages, fractions and decimals, ratios and equivalent fractions. From https://mathamaniacs.com/
A collection of four worksheets on solving elementary equations. The exercises include linear equations, equations with brackets, equations with fractions and equations with squares. Detailed solutions are included.
Three worksheets on ratio and proportion. The exercises require to write ratios to compare quantities, to simplify ratios, to form proportions by completing missing terms or by using given ratios, solve word problems involving ratios, solve given proportions (easy and harder), divide certain amounts in a given ratio and solve word problems where an amount is divided in a given ratio. Detailed solutions are included.
A collection of three worksheets. Two worksheets on classifying angles as right, straight, acute, obtuse or reflex and a worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral).
Detailed solutions are included.
Three worksheets on sequences, arithmetic sequences and series.
An introductory worksheet on sequences. The exercises require to find the first few terms or terms in specific positions of a sequence by using the nth term formula, find the position of a term in a sequence for which the nth term is known, find the nth term or the recursive formula of a sequence given its first few terms and graph a sequence given its nth term.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic.
A worksheet on the sum of the terms of an arithmetic sequence or arithmetic series. The exercises require to find the sum of a number of terms of an arithmetic sequence given the first terms and the common difference, the first few terms of the sequence, to of the terms of the sequence (by solving a system of simultaneous equations), the first and the last term or the first term and the sum of two other terms.
Detailed solutions are included.
Three worksheets on factorising quadratic expressions including the cases where the square has coefficient 1 or other than 1. Solutions are included. From https://mathamaniacs.com/
A collection of three worksheets on the following:
Prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division.
Prime factorisation. The exercises require to find the prime factorisation of a number using repeated division.
Highest common factor and lowest common multiple. The exercises require to find the prime factorisation of some numbers and then use it to find their HCF and their LCM.
Detailed solutions are included.
A collection of three worksheets on functions.
The first worksheet aims to introduce the concept of functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems.
The second worksheet aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs.
The third worksheet is on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots).
Detailed solutions are included.
Three worksheets on solving linear and quadratic equations by cross multiplication and solving equations with algebraic fractions in which cross multiplication cannot be applied. Detailed solutions are included.
Three worksheets on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. Good for A’ Level students.
A collection of four worksheets on solving quadratic equations using factorisation, the quadratic formula and the method of completing the square. Detailed solutions are provided.
Four worksheets on solving linear equations. The exercises involve simple linear equations, linear equations with brackets and linear equations with fractions. Detailed solutions are included.