** The Main Challenge**

A number puzzle associated with our board game, **Mathematically Possible**, an excellent resource involving mental arithmetic and strategy. Further details can be found by clicking the link.

Using the numbers **1**, **3** and **6** once each, with + – × ÷ available, which one of the following numbers is NOT mathematically possible to make?

2 4 6 8 10 12 15 18 21 24

**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 & 7th columns contain the following fourteen numbers:

5 9 13 21 22 24 27 28 32 50 55 56 60 66

Which two numbers become square numbers when 9 is added to them?

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

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which are the only TWO numbers it is 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 **323** by inserting **2**, **3**, **3**, **4** and **4** into the gaps below?

- ◯⁴+◯³+◯²–◯×◯ = 323

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

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