### 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?

# Operational Decision

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

Which symbol ($+$, $-$, $\div$ or $\times$) should replace $\oplus$ to make the following equation true?

$$1\times 2\times \left(3\oplus 4 + 5\right) \times \left(6\times 7 + 8+ 9\right) = 2006$$

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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