**The Main Challenge**

Consider the four groups of numbers **3 3 3**, **4 4 4**, **5 5 5** and **6 6 6**.

There are only six target numbers it is possible to make in the range **10-30** when + – × ÷ is available to use.

One of these is **12**, which can be made by doing either **3×3+3** or **4+4+4**. Can you find the other FIVE target numbers it is possible to make using one or more of these four groups?

**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 2nd & 5th rows contain the following fourteen numbers:

6 7 8 16 17 21 28 48 50 55 63 64 81 84

Which number is the product of two other numbers on the list?

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

**The Mathematically Possible Challenge**

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

9 18 27 36 45 54 63 72 81 90

#*9TimesTable*

**The Target Challenge**

Can you arrive at **313** by inserting **1**, **3**, **5**, **7** and **9** into the gaps below?

- ◯³–(◯–◯)×◯×◯ = 313

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

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