Three worksheets on converting fractions to decimal numbers and vice versa. Solutions are included.

A collection of 5 worksheets on sets: set notation, Venn diagrams, union and intersection, empty set, complement of a set and 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.

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.

A collection of three worksheets on the order of operations in calculations with integers (positive and negative). One of the worksheets is on positive integers only and the other two on both positive and negative integers. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.

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.