**The Main Challenge**

This 10-step number trail, involving the four arithmetical operations, may leave you in sixes and sevens!

Start with the number 6, then:

- add 7
- –6
- multiply by 6
- +7
- divide by 7
- subtract 6
- +6
- ÷7
- add 6
- –7

What is your final answer?

**T****he**** 7puzzle Challenge**

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

The 2nd & 7th rows contain the following fourteen numbers:

4 8 11 17 24 27 28 30 48 55 63 64 70 77

List the four pairs of numbers that have a difference of 13.

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

**The Mathematically Possible Challenge**

Using **3**, **7** and **9 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

2 3 5 7 11 13 17 19 23 29

#*PrimeNumbers*

**The Target**** Challenge**

Can you arrive at **272** by inserting **4**, **6**, **6**, **8** and **10** into the gaps below?

- (◯+◯–◯÷◯)×◯² = 272

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

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