### Consecutive Numbers

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

### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Counting Factors

Is there an efficient way to work out how many factors a large number has?

# Product of Fractions

##### Age 11 to 14 ShortChallenge Level

Answer: $11$

\begin{align}1\frac23\times1.8\times1\frac17\times1.75\times1\frac56&= 1\frac23\times1\frac45\times1\frac17\times1\frac34\times1\frac56\\ &\ \\ &=\ \frac53\ \times\ \frac95\ \times\ \frac87\ \times\ \frac74\ \times\ \frac{11}6\\ &\ \\ &=\quad \ \ \ \ 3\ \quad \ \ \ \times\ \quad \ \ 2\quad \ \ \ \ \times\ \ \frac{11}6\\ &\ \\ &=11\end{align}

You can find more short problems, arranged by curriculum topic, in our short problems collection.