**The Main Challenge**

There are 62 people employed by a company and all of them travel to work by car, bus or train. If 34 employees either drive or go by bus and the difference between those who drive and those who go by train is nine, find the number of people who use each different mode of transport.

**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 1st & 3rd rows contain the following fourteen numbers:

2 9 13 14 15 22 25 36 40 42 45 66 72 80

What is the average of the three consecutive numbers on the list?

**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?

2 3 5 7 11 13 17 19 23 29

#*Prim**eNumbers*

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

Can you arrive at **306** by inserting **1**, **2**, **3**, **4** and **5** into the gaps below?

- (◯²+(◯+◯–◯)²)×◯² = 306

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

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