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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?

Would You Like a Jelly Baby?

Stage: 3 Short Challenge Level: Challenge Level:1

If Tom takes 12 jelly babies then he will have taken at least one of each flavour unless he takes all 8 watermelon jelly babies and either all 4 vanilla jelly babies or all 4 butter popcorn jelly babies. In this case the 4 remaining jelly babies will all be of the flavour he has yet to take, so taking one more jelly babies ensures that he will have taken at least one of each flavour.

Therefore Tom should take 13 jelly babies.



This problem is taken from the UKMT Mathematical Challenges.
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