**The Main Challenge**

This challenge has been taken from our series of **Mathelona** number puzzle pocket books.

Can you complete this task so all three lines work out arithmetically when inserting the digits **0 0 1 1 1 2 3 4 5 6 7** and **8** into the 12 gaps below?

◯ + ◯ = 6 = ◯ – ◯

◯ + ◯ = 15 = ◯ × ◯

◯ + ◯ = 1 = ◯ ÷ ◯

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

**As an added challenge,**

. . . can you also complete this successfully if the 12 digits to be inserted were **0 1 1 2 3 4 5 6 7 8 8** and **9**?

**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 & 4th columns of the playing board contain the following fourteen numbers:

2 3 6 10 16 20 33 42 45 48 63 70 72 77

What is the sum of the multiples of 3?

**Make 324 Challenge**

Can you arrive at **324** by inserting **1**, **2**, **3**, **4** and **5** into the gaps on both lines below?

- (◯×◯+◯+◯–◯)² = 324
- ◯³×◯×(◯+◯)÷◯ = 324

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

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