**Th****e Main Challenge**

Read the following five clues:

- I am a 2-digit number,
- My 1st digit is bigger than my 2nd digit,
- I am less than 50,
- I am an odd number,
- I am not a prime number.

and work out which number I am.

**Th****e**** 7puzzle Challenge**

The playing board of **the 7puzzle game** is a 7-by-7 grid of 49 different numbers, ranging from **2 **up to **84**.

The 1st & 5th rows contain the following fourteen numbers:

2 6 7 9 14 15 16 21 22 40 50 72 81 84

Which of the two multiples of 10 has more factors?

**The Lagrange Challenge**

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

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

Show how you can make **160**, in TWO different ways, when using *Lagrange’s Theorem*.

**The Mathematically Possible Challenge**

Based on our best-selling arithmetic board game.

Using the three digits **3**, **5** and **8** once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

11 22 33 44 55 66 77 88 99 110

#*11TimesTable*

**The Target Challenge**

Can you arrive at **160** by inserting **5**, **8**, **10** and **12** into the gaps on each line?

- ◯×◯+◯×◯ = 160
- ◯²+◯×◯÷◯ = 160
- ◯×◯×(◯–◯)² = 160

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

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