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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?

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Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

Packing Boxes

Stage: 3 Short Challenge Level: Challenge Level:1

In one hour, Harry and Christine together pack $18$ boxes. Harry and Betty together pack $12$ boxes. Christine and Betty together pack $9$ boxes.

Therefore Harry packs $3$ more boxes than Christine, looking at the rates when they're each with Betty.

In one hour Christine would therefore pack $7\frac{1}{2}$ boxes.

This problem is taken from the UKMT Mathematical Challenges.

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