**The Main Challenge**

. . . is a *Kakuro*-type puzzle. As well as **9321** (or 9+3+2+1), there are FIVE other ways of combining and adding together four unique digits from **1-9** to make **15**. Can you list those five ways?

**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 2nd & 4th rows contain the following fourteen numbers:

3 8 10 17 28 32 35 44 48 54 55 60 63 64

What is the sum of the factors of 60?

**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 **22 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

2 3 5 7 11 13 17 19 23 29

#*PrimeNumbers*

**The Target Challenge**

Can you arrive at **22** by inserting **3**, **4**, **5** and **6** into the gaps on each line?

- ◯×◯+◯÷◯ = 22
- ◯×◯+◯–◯ = 22
- ◯²+◯+◯+√◯ = 22

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

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