**The Main Challenge**

You’ve rolled the numbers **3**, **5** and **6** with three dice. Using these once each, with + – × ÷ available, which three target numbers from **1-10** are NOT possible to make?

Visit **Roll3Dice.com** and the hashtag #Roll3Dice for details.

**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 & 7th rows of the playing board contain the following fourteen numbers:

4 6 7 11 16 21 24 27 30 50 70 77 81 84

What is the sum of the multiples of 10?

**T****he Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are TEN different ways to make **241 **when using *Lagrange’s Theorem*. How many of them can you find?

**The Mathematically Possible Challenge**

Based on our best-selling arithmetic board game.

Using **2**, **5** and **10 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

8 16 24 32 40 48 56 64 72 80

#*8TimesTable*

**The Target**** Challenge**

Can you arrive at **241** by inserting **1**, **3**, **5**, **7** and **9** into the gaps on each line?

- ◯³+(◯+◯)²+(◯–◯)² = 241
- ◯³+(◯+◯)²+double(◯–◯) = 241
- ◯³+(◯+◯)²+treble(◯–◯) = 241

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

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