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# Conjecturing and Generalising - Short Problems

### Bishop's Paradise

### Little Difference

### Producing an Integer

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This is part of our collection of Short Problems.

You may also be interested in our longer problems on Conjecturing and Generalising.

Age 11 to 14

ShortChallenge Level

Weekly Problem 37 - 2013

Which of the statements about diagonals of polygons is false?

Age 14 to 16

ShortChallenge Level

What is the value of $2015 \times 2017 - 2016 \times 2016$?

Age 14 to 16

ShortChallenge Level

Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?