**The Main Challenge**

Using the numbers on a traditional clock face, ** 1** to **12**, find the following number:

- it is half of one of the numbers on the clock face,
- it is also two-thirds of another number on the clock face,
- … and three-quarters of another!

**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 & 2nd rows contain the following fourteen numbers:

2 8 9 14 15 17 22 28 40 48 55 63 64 72

What is the total when adding together the prime numbers and square numbers?

**The Roll3Dice Challenge**

From six of the seven groups of numbers below, it is possible to make today’s target number of **2 **when each number in the group is used once and + – × ÷ is available:

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

Which is the only group that CANNOT make **2**?

**The Mathematically Possible Challenge**

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

4 8 12 16 20 24 28 32 36 40

#*4TimesTable*

**The Target Challenge**

Can you arrive at **2** by inserting **2**, **3**, **5** and **7** into the four gaps on each line?

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

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

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