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

Allocate each letter of the English alphabet a numerical value, **A=1 B=2 C=3 . . . Z=26**. When adding the individual letters, find the total value of these four important words:

- KNOWLEDGE
- HARD WORK
- RESILIENCE
- ATTITUDE

If these were percentage values, there is a message for students here!

**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 1st & 6th rows contain the following fourteen numbers:

2 5 9 12 14 15 18 20 22 33 40 49 56 72

Which six numbers listed can each be made by adding three others from 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 TWO ways of making **71 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **4**, **6** and **12 **once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

8 16 24 32 40 48 56 64 72 80

#*8TimesTable*

**The Target Challenge**

Can you arrive at **71** by inserting **3**, **5**, **7** and **9** into the gaps on each line?

- ◯×◯+◯+◯ = 71
- ◯²+◯×◯–◯ = 71
- (◯+◯)×◯–◯² = 71

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

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