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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?

Pentagon Ring

Stage: 3 Short Challenge Level: Challenge Level:1

Each pentagon has a turn of 36o to pack against its neighbour.

Therefore it will take 10 (x36o) turns to complete a full-turn, i.e. 10 pentagons

Therefore 7 more pentagons are needed.

chain of 10 pentagons around a circle

This problem is taken from the UKMT Mathematical Challenges.
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