** T****he Main Challenge**

Of all the whole numbers from **1-100**, find the longest run of consecutive numbers that are NOT prime numbers. What are the lowest and highest numbers in that run?

**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 square numbers?

**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?

1 4 9 16 25 36 49 64 81 100

#*SquareNumbers*

**The Target**** Challenge**

Can you arrive at **271** by inserting **3**, **4**, **4**, **5** and **6** into the gaps below?

- ((◯+◯)²+◯)×◯–◯ = 271

**An****swers **can be found **here**.

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