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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.

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