** The Main Challenge**

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

Using these three numbers once each, with + – × ÷ available, it is possible to make SEVEN target numbers in the range **1-10**, as indicated below.

Can you place **2**, **5** and **6** into the gaps on each line so that all seven calculations work out?

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

For full details, click **Roll3Dice** 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 contains the following seven numbers:

3 9 25 27 33 64 81

Another 2-part challenge for the final day of the year:

*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.

**T****he Daily 7 Challenge**

Using the four numbers **2**, **3**, **4** and **5** once each, with + – **×** ÷ available, can you arrive at our daily target answer of **7**?

**The Mathematically Possible Challenge**

Using **4**, **8** and **12 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

90 91 92 93 94 95 96 97 98 99

#*NumbersIn90s*

**The Target 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 maths tuition.**