### 14 Divisors

What is the smallest number with exactly 14 divisors?

### 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?

### Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

# Weekly Problem 40 - 2008

##### Stage: 3 Challenge Level:

A 10p piece has a diameter of roughly 25mm = 0.025m, so there were approximately 25 $\div$ 0.025 = 1000 coins on the line. This means that the class raised about 1000 $\times$ 10 = 10000p = 100 pounds.

This problem is taken from the UKMT Mathematical Challenges.

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