**The Main Challenge**

This is a number trail involving ten arithmetical steps. Be careful with your calculations – and no calculators please!

Start with the number **40**, then:

- multiply by 4
- +10%
- subtract 15
- divide by seven
- add nine
- 1/2 of this
- +87
- double this
- –96
- ÷10

What is your final answer?

**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 & 4th columns contain the following fourteen numbers:

3 6 13 20 21 22 27 42 55 56 60 63 72 77

What is the product of the highest number and lowest number?

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

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which FIVE numbers is it possible to make from the list below?

2 3 5 7 11 13 17 19 23 29

#*PrimeNumbers*

**The Target Challenge**

Can you arrive at **330** by inserting **3**, **5**, **10**, **11** and **15** into the gaps below?

- ◯×◯×(◯–◯–◯) = 330

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

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