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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?

Alphabetical Discovery

Stage: 2 and 3 Short Challenge Level: Challenge Level:1
In the word DISCOVER the distinct pairs of letters DC, IE, SO, VR occur in reverse alphabetical order, so we must delete at least one of the letters in each pair, in other words remove at least four letters. In fact this is all we need to remove e.g. DISV is in alphabetical order.

This problem is taken from the UKMT Mathematical Challenges.
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