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 three worksheets. A worksheet on simplifying expressions with indices, a worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices and a worksheet on manipulating surds using the product and quotient rule. Detailed solutions are included. Good for A level students.
Six worksheets on expanding a square of a sum or a difference of two algebraic terms. One one the sum, one on the difference and one on both. Solutions are included.
Three worksheets on rational exponents. The exercises include converting written in exponential form to radical form and vice versa and simplifying powers with rational exponents. Solutions are provided.
Three worksheets on simplifying, adding, subtracting multiplying and dividing algebraic fractions. Detailed solutions are included. From https://mathamaniacs.com/
Three worksheets on expanding and factorising quadratics (binomials, trinomials ,differences of two squares and perfect squares) and simplifying algebraic fractions. Detailed solutions are provided.
Three worksheets on expanding and factorising perfect squares (of sums and differences). Detailed solutions are provided. From https://mathamaniacs.com/
A collection of five worksheets on the following algebra topics: adding and subtracting polynomials, arithmetic sequences, changing the subject of a formula, equations with algebraic fractions and solving quadratic equations.
Detailed solutions are included.
A collection of three worksheets on logarithms. An introductory worksheet on logarithms with exercises that require converting expressions from exponential to logarithmic form and evaluating given logarithms, a worksheet on equations with logarithms and a worksheet on using 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.
A collection of five worksheets on differentiating:
constant functions
functions with powers
sums of functions
products of functions
quotient of functions
exponential and logarithmic functions
composite functions (chain rule)
trigonometric functions
Detailed solutions are provided.
Five worksheets on factorising quadratics including the cases of factorising by taking a common factor, factorising perfect squares, factorising difference of two squares and factorising quadratics with the coefficient of the square being 1 or greater. In addition one worksheet includs exercises on simplifying algebraic fractions. Good for GCSE/IGCSE students. Detailed solutions are provided. From https://mathamaniacs.com/
Three worksheets on the following topics: Percentages, fractions and decimals, reverse percentage and compound interest. Solutions are included. From https://mathamaniacs.com/
Five worksheets on the following topics from algebra: factoring difference of two squares, factorising polynomials, rearranging formulae (easy and harder) and simplifying algebraic fractions. Detailed solutions are provided.
Three worksheets on simplifying algebraic fractions and solving equations with algebraic fractions. Detailed solutions are provided. Good for GCSE/IGCSE students.
A collection of 4 worksheets on set language and notation based on the GCSE 9-1 specification.
The following are included:
An introductory worksheet on sets. The exercises require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to.
A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc.
A worksheet on the union and intersection of two or more sets and the complement of a set.
A worksheet on Venn diagrams and 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).
Detailed solutions are included.
A collection of three worksheets on the following methods of proof:
Direct Proof
Proof By Contradiction
Proof By Induction
Detailed solutions are included.