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

When each letter of the English alphabet is given a numerical value, **A=1 B=2 C=3 . . . Z=26**, and the values of the individual letters are added together, which day of the week has the highest total and which has the lowest total?

**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 sum of the four biggest numbers?

**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 SIX ways of making **97 **when using *Lagrange’s Theorem*. Can you find them?

**The Mathematically Possible Challenge**

Using **5**, **7** and **10 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

10 20 30 40 50 60 70 80 90 100

#*10TimesTable*

**The Target Challenge**

Can you arrive at **97** by inserting **2**, **3**, **5** and **10** into the gaps on each line?

- ◯×◯×◯–◯ = 97
- ◯³×◯²+(◯–◯)² = 97
- ◯²×◯+◯+◯ = 97

**An****swers **can be found **here**.

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