**The Main Challenge**

Using the numbers **2**, **5** and **10** once each, with + – × ÷ available, which ELEVEN target numbers from **1-30** are mathematically possible to achieve?

This is a number puzzle associated with our board game, **Mathematically Possible**, an excellent resource involving mental arithmetic and strategy. Click the above link for details of our excellent board game.

**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 & 4th columns contain the following fourteen numbers:

3 4 6 12 15 17 20 35 42 63 72 77 80 81

What is the difference between the square roots of the two square numbers shown above?

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

**The Mathematically Possible Challenge**

Using **4**, **7** and **11 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

50 51 52 53 54 55 56 57 58 59

#*NumbersIn50s*

**The Target Challenge**

Can you arrive at **318** by inserting **1**, **2**, **4**, **9** and **10** into the gaps below?

- (◯+◯)²+(◯+◯)²+√◯ = 318