The mathematics section is designed to cater for a wide range of ability. Each part is divided into levels so pupils do not have to absorb too much information at once. Different schools use different methods of calculation. The various methods are explained to help pupils and parents and several examples of each calculation method are given. Colour coding helps to explain the method. Watchpoints indicate places where pupils frequently make mistakes.

Understand the examples before attempting the sums. Where possible the sums are divided into columns (lettered) and rows (numbered). Each part has 6 columns (a - f), but the number of rows depends on how complex the level is. This does not apply to addition and subtraction tables sections and the first levels of multiplication and division. Here all sums should be completed to help pupils learn their tables.

Row 1 is the easiest row and column a) is the easiest column. A few very bright pupils who master the level easily need only do column f). Most pupils will have to do more than one column and many will need to do all six columns. Pupils who have not mastered a level after working through all six columns should repeat the level until they are confident. There is no point in proceeding to a higher level until you have a firm grounding in previous levels.

With individual tuition some bright pupils will master each part in a one hour lesson. This knowledge must be backed up with frequent revision. Columns are ideal for revision.

At the end of each level there are some problems based on the sums. The lower levels have explanations on how to approach problems. These are written in italics.

Apart from the in addition section the problems are divided into two sections. The first section is based on the work the pupil has just learnt. The second is based on all the previous sections and involves doing two or more calculations.