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 inverse proportion. The problems require to 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.
You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.
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.
A collection of three worksheets on special cases of logarithms and 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. Good for A level students.
A worksheet on reverse percentages including exercises on calculating the original value given the value after a percentage increase or decrease. Detailed solutions are included.
A worksheet on finding the missing operations in calculations involving addition, subtraction, multiplication and division between fractions. Answers are included.
Three worksheets on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. Good for A’ Level students.
A worksheet on using polynomial long division to factor polynomials. In some of the exercises, students must use polynomial division to find the remaining linear factors of a polynomial, given one of its factors. In other exercises, students must find a polynomial using multiplication, given all its factors, find the highest common factor of given algebraic expressions and find missing terms in factorized expressions. Detailed solutions are included.
Four test for Year 9 maths, on the following topics: percentages, equations and formulae, fractions and mixed numbers and algebra. The exercises 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, reverse percentage problems, multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets, rearranging formulae to change the subject, adding, subtracting, multiplying and dividing fractions, multiplying and dividing fractions and mixed numbers, expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.
