The collections below contain short problems which require students to think mathematically.

You may also be interested in our longer problems in our Developing Mathematical Thinking collection.

For short problems organised by curriculum areas, visit our collection of Short Problems.

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### Exploring and Noticing - Short Problems

A collection of short Stage 3 and 4 problems on Exploring and Noticing.

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### Working Systematically - Short Problems

A collection of short Stage 3 and 4 problems on Working Systematically.

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### Conjecturing and generalising - Short Problems

A collection of short Stage 3 and 4 problems on Conjecturing and Generalising

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### Visualising and Representing - Short Problems

A collection of short Stage 3 and 4 problems on Visualising and Representing.

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### Reasoning, Convincing and Proving - Short Problems

A collection of short Stage 3 and 4 problems requiring Reasoning, Convincing and Proving.