**The Main Challenge**

From the numbers 1-20, eliminate all:

- square numbers
- prime numbers
- triangular numbers
- multiples of 6

When adding together the numbers that remain, what is your 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 & 4th rows of the playing board contain the following fourteen numbers:

2 3 9 10 14 15 22 32 35 40 44 54 60 72

From this list, what is the sum of the multiples of 8?

**The Mathematically Possible Challenge**

Based on our best-selling arithmetic board game.

Using the three digits **2**, **6** and **9** once each, with + – × ÷ available, which are the only TWO numbers it’s possible to make from the list below?

5 10 15 20 25 30 35 40 45 50

#*5TimesTable*

**The Target Challenge**

Can you arrive at **142** by inserting **4**, **9**, **10** and **13** into the gaps on each line?

- ◯×◯+◯×◯ = 142
- ◯×◯+◯×√◯ = 142

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

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