A collection of three worksheets 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. The two worksheets are on functions that are powers of a variable or sums of powers of a variable and the third is on all the above rules. 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.

A collection of three worksheets on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. Introductory notes (rules and examples) are included. 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.

Three worksheets on identifying factors and multiples of a number and prime numbers. Detailed solutions are provided. From https://mathamaniacs.com/

Three worksheets on the following topics: conversions between percentages, fractions and decimals, ratios and equivalent fractions. From https://mathamaniacs.com/

Four worksheets on simplifying expressions with surds and rationalising the denominator of a fraction.

A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification. The following worksheet are included: Introduction to ratios: converting ratios to fractions, writing and simplifying ratios Simplifying ratios Ratios: simplifying ratios and dividing an amount in a given ratio Dividing amounts in a given ratio Direct proportion: calculating 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.

Seven worksheets on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.

Three worksheets on writing ordinary numbers in standard form and vice versa. Solutions are included.