### Dodecamagic

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

### A Flying Holiday

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

### 28 and It's Upward and Onward

Can you find ways of joining cubes together so that 28 faces are visible?

# Let Us Divide!

##### Stage: 2 Challenge Level:

The solutions sent in made for interesting reading, many pupils considered that because there were $8$ children coming to the party there were $8$ altogether. However Jola made it up to $9$.  Swaathi in $5$k from the  Garden International School  in Malaysia  was one of those but sent in a file that showed her interesting working as follows:

I started solving with the first problem that is:
It's Jola's birthday and she is having a party. She has $24$ cup-cakes to share equally between $3$ plates for the party. How many cakes will go on each plate?
My working out

Therefore, there are $8$ cup-cakes on each plate.
Next, I started with the second problem that is:
There are $8$ children coming to the party. They are all going to the cinema. How many cars will they need to take them there? Each car will hold $4$ children and they will each need a driver too.

So, my answer is that there has to be two cars to go to the cinema.

Finally, I finished the last problem:
Jola is going to give everyone some chocolate eggs to take home at the end of the party. They fit into egg boxes which hold 6 eggs each. Will $50$ eggs be enough for each of the $8$ visitors to have a box to take home?

Every visitor will receive a box that contains $6$ eggs but as it is shown on the diagram, there will be $2$ eggs left over.

We also had solutions sent in that  did consider that  the eight visitors would  make $9$ children altogether needing cars. These came  from year $5$ at St Johns C of E Primary  and pupils from 2/3/4  at HSPA  in Australia . Thank you all very much.