**The Main Challenge**

Can you find the **4-digit number** that has all these properties?

- its second digit is twice the first,
- its fourth digit is three times the third,
- all its digits are different,
- no two of its digits are consecutive.

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

7 13 21 22 27 30 36 40 49 54 55 56 60 64

Which two numbers, when each is doubled, also appear on the list?

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

**The Mathematically Possible Challenge**

Using **1**, **3** and **9 **once each, with + – × ÷ available, which THREE numbers are NOT possible to make from the list below?

3 6 9 12 15 18 21 24 27 30

#*3TimesTable*

**The Target Challenge**

Can you arrive at **344** by inserting **1**, **2**, **3**, **4** and **5** into the gaps below?

- ◯⁵+◯×◯²+◯–◯ = 344

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

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