**T**** he Main Challenge**

When using the numbers **2**, **5** and **7** once each, with + – × ÷ available, can you list the TWELVE target numbers from **1-30** that are mathematically possible to achieve?

**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 3rd & 7th rows contain the following fourteen numbers:

4 11 13 24 25 27 30 36 42 45 66 70 77 80

Which three different numbers have a sum of 77?

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

**The Mathematically Possible Challenge**

Using **5**, **8** and **11 **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

#*PrimeNumbers*

**The Target**** Challenge**

Can you arrive at **257** by inserting **2**, **4**, **5**, **8** and **9** into the gaps below?

- ◯²×◯+◯×(7+◯+◯) = 257

**A****nswers **can be found **here**.

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