**The Main Challenge**

Using the numbers **4**, **4** and **8** once each, with + – **×** ÷ available, what is the lowest whole number it is not possible to achieve?

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

2 4 10 12 15 16 17 33 35 45 48 70 80 81

How many pairs of numbers have a sum of 50?

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

**The Mathematically Possible Challenge**

Using **1**, **3** and **9 **once each, with + – × ÷ available, which is the ONLY number it is 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 **349** by inserting **6**, **7**, **8**, **9** and **10** into the gaps below?

- (◯²+◯²)×³√◯–(◯+◯) = 349

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

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