### 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?

# Triangle of Squares

##### Stage: 3 Short Challenge Level:

The number at the end of the $n$th row is $n^{2}$,
so $400$ will lie at the end of the $20$th row.

The row below will end in $21^{2}$, i.e. $441$

So the number directly below $400$ will be $440$.

This problem is taken from the UKMT Mathematical Challenges.
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