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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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14 Divisors

What is the smallest number with exactly 14 divisors?

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Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

The Mad Hatter's Watch

Stage: 3 Short Challenge Level: Challenge Level:1


The watch will show the correct time when the minute hand is next in the correct position. The minute hand gains half a minute every minute on the correct time. It will show the correct time when it has gained an hour.

This will take two hours, so the next correct time will be at 5pm.

This problem is taken from the UKMT Mathematical Challenges.

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