**The Main Challenge**

The American maths card game, *24game*, can be both frustrating and addictive.

Your task is to arrive at the target answer of **24** by using the four digits shown in each of the three groups below, just once each per calculation. You also have + – **×** ÷ available to use.

It is possible to reach **24** with two of them, but one group is impossible. Which one?

- 2 3 3 4
- 2 3 3 5
- 2 3 3 6

**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 column contains the following seven numbers:

13 21 22 27 55 56 60

Using all seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of **100**?

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

**The Mathematically Possible Challenge**

Using **4**, **8** and **12 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

6 12 18 24 30 36 42 48 54 60

#*6TimesTable*

**The Target Challenge**

Can you arrive at **358** by inserting **1**, **2**, **3**, **4** and **6** into the gaps below?

- ◯⁵+◯⁴+◯³+◯²–◯ = 358

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

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