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 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.
A worksheet that 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. Detailed solutions are provided.
An introductory worksheet on 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. Detailed solutions are provided.
A worksheet on using differentiation in order to determine the gradient (and the equation) of the tangent of a function at a given point. Detailed solutions are provided. Good for GCSE/IGCSE students.
A worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. Solutions are included.
Three worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals) and the order of operations in calculations with such numbers. The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. Solutions are included.
A worksheet introducing the students to addition of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and decide whether some statements are true or false. Solutions are included.
A worksheet introducing the students to subtraction of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and compare numerical expressions. Solutions are included.
A worksheet on recurring decimals. The exercises require converting recurring decimals to fractions, comparing numbers and examining whether a given fraction can be converted to a decimal number with finitely many decimals. Detailed solutions are provided.
A collection of three worksheets. Two worksheets on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. One worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees. Detailed solutions are included.
A collection of three worksheets. A worksheet on evaluating powers of positive and negative integers.
A worksheet on evaluating powers of positive and negative fractions.
And a worksheet on evaluating powers with negative (integer or fraction).
The exponents in these powers are positive integers or zero.Solutions are included.
A 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. Good for introduction to this subject. Solutions are included.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a_1 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. Detailed solutions are included.
A worksheet on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. Detailed solutions are included.
A worksheet on solving linear equations involving various cases such as: one-step and two-step linear , linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.
Three worksheets on operations and linear equations with positive and negative numbers.
A worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations.
And two worksheets on solving linear equations involving various cases such as: one-step and two-step linear , linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.
A worksheet on evaluating powers of positive and negative integers. The exponents in these powers are positive integers or zero. Solutions are included.
A worksheet on evaluating powers of positive and negative fractions. The exponents in these powers are positive integers or zero. Solutions are included.
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, two 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.
A worksheet on solving proportions using cross multiplication and dividing amounts in a given ratio. The exercises require to 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.