** The Main Challenge**

Follow the rules and eliminate every number, except one.

From the numbers **1-50**, eliminate:

- all numbers containing
**1**,**3**,**5**or**7** **even**numbers**square**numbers

There is just one number left, which one?

**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 3rd & 5th columns contain the following fourteen numbers:

4 8 11 12 14 15 17 18 25 35 44 80 81 84

What is the difference between the highest multiples of 8 and 9?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **2**, **9** and **12 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100 101 102 103 104 105 106 107 108 109

#*Numbers100to109*

**The Target Challenge**

Can you arrive at **343** by inserting **1**, **2**, **3**, **4** and **5** into the gaps on each line below?

- (◯+◯+◯–◯–◯)³ = 343
- (◯×◯×◯–◯×◯)³ = 343

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

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