Three worksheets on calculating the distance of the line segment joining two points and the coordinates of their midpoint. One on the midpoint, one on the distance and one on both. Solutions are included.

Three worksheets on factorising perfect squares, the difference of two squares and the sum and difference of two cubes . Solutions are included.

Three worksheets on expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. Solutions are included.

Three worksheets on sets. An introductory worksheet with exercises that require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to. A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. And a worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.

Three worksheets on negative and fractional indices . Detailed solutions are included.

Four worksheets on order of operations. Two of them are elementary and the other two are more advanced. They contains exercises involving brackets, powers and the four basic operations between whole numbers. Solutions are included.

Three worksheets on simplifying expressions and functions by using the rules of indices related to multiplication and division of powers with the same base, raising a power to another power and raising a product to a power. Detailed solutions are included. Good for A level students.

Three worksheets on simplifying expressions with indices using the multiplication and division laws of indices. Detailed solutions are provided.