**T**** h****e Main Challenge**

Here’s a special *24game*-type challenge with a difference.

Using the numbers **1**, **3**, **4** and **6** once each, together with + – × ÷ available, it is possible to make lots of different target numbers, not just 24.

For instance:

**to make 1**: (3+4–6)×1 =**1****to make 2**: (3+4–6)+1 =**2****to make 3**: (6–4–1)×3 =**3**. . . and so on.

Using the same four numbers, can you make the target numbers **6**, **12**, **18** and **24**?

**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 & 6th rows of the playing board contain the following fourteen numbers:

5 8 12 17 18 20 28 33 48 49 55 56 63 64

What is the sum of the multiples of 5?

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

Which of the following numbers, if any, are factors of **251**?

2 3 4 5 6 7 8 9 10 None of them

[ *Today’s Hint: An even number cannot divide exactly into an odd number *]

**The Mathematically Possible Challenge**

Using **5**, **8** and **11 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

5 10 15 20 25 30 35 40 45 50

#*5TimesTable*

**The Target**** Challenge**

Can you arrive at **251** by inserting **10**, **20**, **30**, **40** and **50** into the gaps below?

- (quarter of ◯)×◯–((◯+◯)÷◯)² = 251

**A****nswers **can be found **here**.

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