** T****h****e Main Challenge**

Starting with the number **70**, keep on subtracting consecutive prime numbers from the previous total (**2**, **3**, **5**, …) until your answer first becomes negative. What is this negative number?

**The**** 7puzzle Challenge**

The playing board of **the 7puzzle game** is a 7-by-7 grid of 49 different numbers, ranging from **2 **up to **84**.

The 2nd & 7th rows contain the following fourteen numbers:

4 8 11 17 24 27 28 30 48 55 63 64 70 77

What is the sum of the multiples of 6?

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

**The Mathematically Possible Challenge**

Using **3**, **7** and **9 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

30 31 32 33 34 35 36 37 38 39

#*NumbersIn30s*

**The Target**** Challenge**

Can you arrive at **273** by inserting **1**, **3**, **5**, **7** and **9** into the gaps below?

- (◯+◯–◯)×◯×◯ = 273

**A****nswers **can be found **here**.

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