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

You have been given the task of manually numbering a 100-page document from **1 to 100**.

Which digit will appear least, and how many times?

**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 & 6th rows contain the following fourteen numbers:

5 8 12 17 18 20 28 33 48 49 55 56 63 64

List five pairs of numbers that have a difference of 15.

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

Which of the following numbers are factors of **254**?

2 4 6 8 10 12 14

[ *Today’s Hint: A number is a multiple of 4 if it is still even when halved *]

**The Mathematically Possible Challenge**

Using **5**, **8** and **11 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

8 16 24 32 40 48 56 64 72 80

#*8TimesTable*

**The Target**** Challenge**

Can you arrive at **254** by inserting **1**, **3**, **5**, **7** and **10** into the gaps below?

- (◯+◯)×◯²–◯×◯ = 254

**Ans****wers **can be found **here**.

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