**The Main Challenge**

From the even numbers in the range **2-40** inclusive, eliminate:

- multiples of 4,
- single-digit numbers,
- numbers which are next to (one away from) a prime number or square number.

Which is the only number that remains?

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

2 9 13 14 15 22 25 36 40 42 45 66 72 80

What is the product of the two prime numbers?

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

**The Mathematically Possible Challenge**

Using **3**, **8** and **10 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

80 81 82 83 84 85 86 87 88 89

#*NumbersIn80s*

**The Target**** ****Challenge**

Can you arrive at **308** by inserting **2**, **4**, **6**, **8** and **10** into the gaps below?

- (◯²×◯÷◯)–(◯×√◯) = 308

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

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