### 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 49 - 2010

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

If I place a $6$cm by $6$cm square on a triangle, I can cover up to $60$% of the triangle. If I place the triangle on the square, I can cover up to $2\over 3$ of the square. What is the area of the triangle?

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

This problem is taken from the UKMT Mathematical Challenges.

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