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 order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are included.
Three worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. One of the worksheets has elementary exercises and the other two have harder exercises. Detailed solutions are included.
A collection of three worksheets on the order of operations in calculations with integers (positive and negative). One of the worksheets is on positive integers only and the other two on both positive and negative integers. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.
A worksheet on the order of operations in calculations with integers (positive and negative). The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.
A worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. Detailed solutions are included.
A worksheet on differentiating using the basic rules for functions that are constant, powers of a variable or sums of powers of a variable, products of a constant and another function, products or quotients of two functions. Detailed solutions are provided. Good for GCSE/IGCSE students.
An introductory worksheet on differentiating functions from first principles using the definition of the derivative as the limit of the quotient f(x+h)-f(x)/h as h tends to zero. Detailed solutions are included.
An introductory worksheet on differentiating simple functions from first principles using the definition of the derivative at x0 as the limit of the quotient f(x)-f(x0)/x-x0 at this point. 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.
A worksheet introducing the students to division 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 evaluating powers of positive and negative integers. The exponents in these powers are positive integers or zero. 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.
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.
Three worksheets 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 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 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 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 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.
