### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### 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?

# Silver Line

##### Stage: 3 Short 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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