**T**** h****e Main Challenge**

Happy **St David’s Day/Dydd Gŵyl Dewi** Hapus.

It’s our National Day in Wales today so try our special alphabet number puzzle; probably the hardest you can ever try!

The longest place name in the UK is a small village on the island of Anglesey. When allocating each letter of the English alphabet a numerical value, **A=1 B=2 C=3 … Z=26** and adding the individual letters, what is the total value of:

LLANFAIRPWLLGWYNGYLLGOGERYCHWYRNDROBWLLLLANTISILIOGOGOGOCH?

If you wish to hear it pronounced properly, click the following links and listen to Hollywood actor **Michael Sheen** and weatherman **Liam Dutton**.

**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 4th & 6th rows contain the following fourteen numbers:

3 5 10 12 18 20 32 33 35 44 49 54 56 60

Which two numbers, when each is tripled, are also on the list?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are THREE ways of making **60 **when using *Lagrange’s Theorem*. Can you find them?

**The Mathematically Possible Challenge**

Using **1**, **6** and **7 **once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

7 14 21 28 35 42 49 56 63 70

#*7TimesTable*

**The Target Challenge**

Can you arrive at **60** by inserting **2**, **3**, **4** and **7** into the gaps on each line?

- (◯+◯)×(◯+◯) = 60
- (◯–◯)×◯×◯ = 60
- ◯²+◯²+◯–◯ = 60
- ◯²×◯²+◯–◯ = 60

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

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