**The Main Challenge**

Can you complete this task so the three lines work out arithmetically when inserting the digits 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8 and 9 into the 12 gaps below?

◯ + ◯ = 7 = ◯ – ◯

◯ + ◯ = 12 = ◯ × ◯

◯ + ◯ = 4 = ◯ ÷ ◯

Further details of our pocket book of challenges can be found by clicking **Mathelona**.

**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

How many pairs of consecutive numbers are listed?

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

Which of the following numbers, if any, are factors of **252**?

3 4 5 6 7 8 9 10 11 None of them

[ *Today’s Hint: A multiple of 9 will always have its digits adding up to 9, 18, 27… *]

**The Mathematically Possible Challenge**

Based on our best-selling arithmetic board game.

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

6 12 18 24 30 36 42 48 54 60

#*6TimesTable*

**The Target**** Challenge**

Can you arrive at **252** by inserting **3**, **5**, **7**, **9** and **11** into the gaps below?

- (◯+◯)×◯×◯²÷◯ = 252

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

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