Three worksheets on the following basic properties of logarithms: log_a 1=0 log_a a=1 log_a a^x=x a^{log_a x}=x product rule division rule power rule/exponential rule change of base rule Detailed solutions are included.

A collection of three worksheets on converting from one metric unit of volume (cubic mm, cm, m and km) to another and converting between cubic mm, cm, m and ml, cl, l. 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 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 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.

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 rounding numbers, significant figures and calculator use. Good for GCSE/IGCSE students. 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.

Three worksheets on factoring the sum and difference of two cubes . Solutions are included.

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 multiplying and dividing fractions and whole numbers. Detailed solutions are provided.

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.

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, one worksheet on finding the domain of a given function and two on finding the domain of a function. Solutions are included.

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.

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 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.

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.

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.

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.