** The Main Challenge**

In this particular number puzzle, three UNIQUE digits from **1-9** must be used to arrive at a specified target number; today is **42**.

The formula is always the same; multiply two numbers together, then either add or subtract a third number to achieve your target.

One way to make **42** is (9×4)+6; can you find the only other TWO ways of making 42?

[Note: (9×4)+6 and (4×9)+6 counts as just ONE way.]

**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 5th & 6th columns contain the following fourteen numbers:

7 8 11 14 18 25 30 36 40 44 49 54 64 84

What is the difference between the highest and lowest multiples of 4?

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

**The Mathematically Possible Challenge**

Using **4**, **7** and **11 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100 101 102 103 104 105 106 107 108 109

#*Numbers100to109*

**The Target Challenge**

Can you arrive at **320** by inserting **10**, **20**, **30**, **40** and **50** into the gaps on each line below?

- ◯×◯×(◯–◯)÷◯ = 320
- (◯+◯)×◯÷(◯–◯) = 320
- (◯–◯–◯÷◯)×◯ = 320

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

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