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).
Three worksheets with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html
A collection of three worksheets, on expanding perfect squares and evaluating expressions involving differences of two squares and one on expanding squares of trinomials. Solutions are included.
Three worksheets on order of operations. They contain exercises involving brackets, powers and the four basic operations between whole numbers. Solutions are included.
Three worksheets on factorising algebraic expressions. The exercises require factorising simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.
Three worksheets on algebraic identities. A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms. A worksheet on expanding and simplifying expressions using the identity (a+b)(a-b). And a worksheet on expanding and simplifying expressions using the identities for the cube of a sum or a difference of two terms. Solutions are included.
A collection of three worksheets on the following:
factorising simple algebraic expressions by taking a common factor
dividing polynomials using long division
polynomial long division and factorisation( The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. )
Detailed solutions are included.
A collection of three worksheets, one worksheet on finding the domain of a given function and two on finding the domain of a function. Solutions are included.
Five worksheets 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. Good practise for GCSE/IGCSE students.
A collection of three worksheets. Two worksheets on the discriminant of a quadratic equation with exercises for evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph and one worksheet on solving quadratic equations using the quadratic formula… Solutions are provided.
A collection of three worksheets an exponential functions and exponential equations. An introductory worksheet on exponential functions with exercises that include stating whether a given function is exponential or not, evaluating an exponential function at some values and determining the constant term of an exponential function given a point on its graph. A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. A worksheet on solving exponential equations of the form a^x=b. Detailed solutions are included.
Three tests on fractions, decimals and percentages.
The exercises in the first include converting fractions to percentages, converting decimals to percentages, converting percentages to fractions, working out percentages of given quantities, word problems on percentages and percentage increase and decrease.
The exercises in the second include writing amounts as percentages, working out percentages of a given amount, increasing and reducing an amount by a given percentage and working out the percentage increase or decrease in a word problem. The exercises in the third include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change and reverse percentage problems.
Detailed solutions are included.
Four tests on percentages. The exercises include writing amounts as percentages, calculating simple interest, working out percentages of a given amount, increasing and reducing an amount by a given percentage, working out the percentage increase or decrease in a word problem and reverse percentage problems. Detailed solutions are included.
Four worksheets on direct and inverse proportion. The problems require to determine whether two variables are in direct proportion, inverse proportion or neither given a table of values, 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. From https://placeformath.blogspot.com/p/worksheet-shop.html
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.
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.
A collection of three worksheets. One on factorising perfect squares and two on factorising the difference of two squares. Detailed solutions are included.