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

Here’s a 2-part, 7-step number trail involving all four arithmetical operations.

*Part 1*: When starting with the number **15**, what is your final answer?

- –1
- +2
- ×3
- ÷4
- +5
- –6
- ×7

*Part 2*: In a separate calculation, what must your starting number be to make your final answer **3.5**?

**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

Which number, when 11 is added to it, becomes a square number?

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

Which of the following numbers are factors of **255**?

2 3 4 5 6 7 8 9 10

[ *Today’s Hint: A number is a multiple of 5 if it ends in a 5 or 0 *]

**The Mathematically Possible Challenge**

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

9 18 27 36 45 54 63 72 81 90

#*9TimesTable*

**The Target**** Challenge**

Can you arrive at **255** by inserting **2**, **4**, **5**, **6** and **10** into the gaps below?

- (◯×◯+◯÷◯)×◯ = 255

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

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