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

Firstly, allocate each letter of the English alphabet a numerical value as follows: **A=1**** B=2**** C=3 … Z=26**. When the values of the individual letters are added together, calculate the total value of our popular maths card game, **FlagMath**.

**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 & 7th rows of the playing board contain the following fourteen numbers:

2 4 9 11 14 15 22 24 27 30 40 70 72 77

What is the sum of the square numbers present on the list?

**T****he 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 EIGHT different ways to make **227 **when using *Lagrange’s Theorem*. How many can you find?

**The Mathematically Possible Challenge**

Using **2**, **4** and **8 **once each, with + – × ÷ available, which SEVEN numbers is it possible to make from the list below?

4 8 12 16 20 24 28 32 36 40

#*4TimesTable*

**The Target Challenge**

Can you arrive at **227** by inserting **3**, **8**,** 10** and **15** into the gaps on each line?

- (◯+◯)×◯–◯ = 227
- (◯+◯)×◯+◯³ = 227

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

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