** The Main Challenge**

… is from the excellent card game, *24game*. Using the numbers **2**, **4**, **6** and **8** once each, and with all four operations + – × ÷ available, show how you can reach the target number of **24**.

**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 3rd & 4th rows contain the following fourteen numbers:

3 10 13 25 32 35 36 42 44 45 54 60 66 80

From the list, find the THREE pairs of numbers that have a sum of 57.

**The Roll3Dice Challenge**

From six of the seven groups of numbers below, it is possible to make today’s target number of **9 **when each number in the group is used once and + – × ÷ is available:

- 1 2 3
- 1 3 4
- 2 2 5
- 3 3 4
- 3 5 6
- 4 5 5
- 4 6 6

Which is the only group that CANNOT make **9**?

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

11 22 33 44 55 66 77 88 99 110

#*11TimesTable*

**The Target Challenge**

Can you arrive at **9** by inserting **3**, **4**, **5** and **6** into the gaps on each line?

- ◯×◯–(◯+◯) = 9
- ◯+◯×(◯–◯) = 9
- ◯²–◯×(◯÷◯)² = 9
- ◯+(◯+◯)÷◯ = 9

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

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