** The Main Challenge**

Which is the only **2-digit** number to have exactly SEVEN factors?

. . . and an additional challenge for the number puzzle enthusiast; which is the only **3-digit** number to have exactly SEVEN factors?

**The 7puzzle Challenge**

The playing board of **the 7puzzle game** is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 4th & 5th rows contain the following fourteen numbers:

3 6 7 10 16 21 32 35 44 50 54 60 81 84

What is the sum of the two square numbers?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **3**, **8** and **10 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

6 12 18 24 30 36 42 48 54 60

#*6TimesTable*

**The Target**** ****Challenge**

Can you arrive at **299** by inserting **8**, **9**, **10**, **11** and **12** into the gaps below?

- (◯+◯)×◯+(◯×◯) = 299

**Answers **can be found **here**.

**Click Paul Godding for details of online maths tuition.**