Reasoning about numbers, with challenges and simplifications

The activities in this booklet should help children to:

• solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict;
• explain methods and reasoning orally and in writing;
• suggest extensions by asking 'What if'?

Many of the activities have supplementary objectives, such as:

• add several numbers;
• use known number facts and place value to add, subtract, multiply or divide mentally;
• recognise multiples.