**Today’s Challenge**

You are playing **Roll3Dice** and have just rolled 2, 5 and 6 with your three dice.

Using 2, 5 and 6 once each, with + – × ÷ available, it is possible to make seven target numbers from 1-10, as shown below. Place the three numbers into the gaps on each line so that all seven calculations work out:

- ◯+◯–◯ = 1
- ◯–◯÷◯ = 2
- ◯+◯–◯ = 3
- ◯×◯–◯ = 4
- ◯×◯–◯ = 7
- ◯+◯÷◯ = 8
- ◯+◯–◯ = 9

For full details, visit **Roll3Dice.com** or the hashtag #Roll3Dice.

**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 Bottom-Left to Top-Right diagonal of the playing board contains the following seven numbers:

3 9 25 27 33 64 81

For the final day of the year, a 2-part **7puzzle** challenge:

*Part 1*: How many of the listed numbers are neither square numbers nor cube numbers?

*Part 2*: Use these seven numbers exactly once each, with + – × ÷ available to use in your calculation, to arrive at our favourite target number of 7.

**Make 366 Challenge**

Can you arrive at 366 by inserting 1, 3, 3, 6 and 6 into the gaps below?

[◯²+(◯–◯)²]×(◯²–◯) = 366

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

**Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.**