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?

Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number.
Cross out the numbers on the same row and column. Repeat this
process. Add up you four numbers. Why do they always add up to 34?

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21....
How many Fibonacci sequences can you find containing the number 196
as one of the terms?

Weekly Problem 12 - 2009

Stage: 3 Short Challenge Level:

It takes $\frac{s}{r}$ gallons to travel $1$ mile, so it takes
$$\frac{s}{r}\times t= \frac{st}{r} \; \text{gallons}$$
to travel $t$ miles