** The Main Challenge**

If you allocate each letter of the English alphabet a numerical value as follows: A=1 B=2 C=3 . . . Z=26, the value of the word ‘CAT’ would be **24**, simply calculated by doing 3+1+20.

Following this rule, what is the value of the word ‘**PUZZLED**‘?

**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 & 2nd rows contain the following fourteen numbers:

2 8 9 14 15 17 22 28 40 48 55 63 64 72

What is the sum of the multiples of 6?

**The Roll3Dice Challenge**

From six of the seven groups of numbers below, it is possible to make today’s target number of **4 **when each number in the group is used once and + – × ÷ is available:

- 1 1 2
- 1 2 4
- 1 4 5
- 2 4 4
- 3 3 3
- 4 4 5
- 5 6 6

Which is the only group that CANNOT make **4**?

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

6 12 18 24 30 36 42 48 54 60

#*6TimesTable*

**The Target Challenge**

Can you arrive at **4** by inserting **1**, **3**, **5** and **7** into the gaps on each line?

- (◯+◯)–(◯+◯) = 4
- (◯+◯)÷(◯×◯) = 4
- √(◯×◯–◯×◯) = 4
- (◯–◯)×(◯–◯) = 4
- (◯²×◯+◯)÷◯ = 4 (there are 2 ways)

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

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