The problems in this feature offer students the chance to identify number patterns, make conjectures and create convincing mathematical proofs.

Many of the problems in this feature include proof sorting activities which challenge students to rearrange statements in order to recreate clear, rigorous proofs. These tasks aim to introduce students to the formality and logic of mathematical proof.

You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

The last day for students to send in their solutions to the live problems is Monday 31 January.

Plus magazine has a selection of interesting articles about proofs here.

### Three neighbours

### Three consecutive odd numbers

### Adding odd numbers

### What does it all add up to?

### Different Products

### Impossible sums

### Difference of odd squares

### Adding odd numbers (part 2)

### KS5 Proof shorts

### Direct logic

*We are very grateful to the Heilbronn Institute for Mathematical Research for their generous support for the development of these resources.*