**The Main Challenge**

The concept behind this challenge is similar to my **Mathelona** number puzzles, so please feel free to click the link for details of my popular pocket book of challenges.

Insert the numbers **1-12**, once each, into the 12 gaps so that all four lines work out:

◯ + ◯ = ◯

◯ + ◯ = ◯

◯ + ◯ = ◯

◯ + ◯ = ◯

**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

What is the difference between the two square numbers listed?

**The Roll3Dice Challenge**

From the seven groups of numbers below, it is possible to make today’s target number of **8 **with six of the groups when each number in the group is used once and + – × ÷ is available.

But, which is the impossible group below that CANNOT make **8**?

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

Visit **Roll3Dice.com** for full details of our family-related maths initiative.

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which FOUR numbers cannot be made from the list below?

10 20 30 40 50 60 70 80 90 100

#*10TimesTable*

**The Target Challenge**

Can you arrive at **8** by inserting **1**, **2**, **4** and **8** into the gaps on each line?

- (◯²×◯²)÷(◯×◯) = 8 (there are 2 ways)
- (◯×◯×◯)÷◯² = 8
- ◯×◯÷√(◯×◯) = 8
- (◯–◯×◯–◯)³ = 8

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

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