** The Main Challenge**

What is the biggest number you can make when using the four digits **1 2 3 4 **and following these rules:

- you can use brackets and + – × ÷ as often as you like,
- you cannot use any number more than once,
- you must use all four numbers exactly once each,
- you cannot use powers/indices,
- you cannot put numbers together (using 1, 2 and 3 to make 123, for example).

Good luck and enjoy!

**T****he**** 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 4th & 7th rows contain the following fourteen numbers:

3 4 10 11 24 27 30 32 35 44 54 60 70 77

Find three different numbers that have a sum of 100.

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

**The Mathematically Possible Challenge**

Using **8**, **10** and **12 **once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

5 10 15 20 25 30 35 40 45 50

#*5TimesTable*

**The Target**** ****Challenge**

Can you arrive at **289** by inserting **2**, **3**, **4**, **6** and **7** into the gaps below?

- (◯×◯–◯)²+◯²–◯² = 289

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

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