### Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

### Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

### More Mods

What is the units digit for the number 123^(456) ?

##### Stage: 2, 3 and 4 Challenge Level:

Daniel  (Age 10, Anglo-Chinese School, Singapore) pointed out a fact about the way the numbers are placed on dice. This is particularly important to remember if you don't have any real ones to work with.

I have put everyone's solutions together into a table so that it will be easy to check whether you have found a new one or not.

Kieran  (Age 10) & Carl  (Age 9, Moorgate C.P. School) - 1 solution
Christina  (Age 11, Marlborough Primary School) - 1 solution
Caroline & Sarah  (Year 7, The Mount School, York) - 4 solutions
Leah  (Age 10) & Sophie Simpson (Age 11, Moorgate C.P. School) - 11 solutions
Edward  (Age 10, Tattingstone School) - 14 solutions - Well done!!

TOTAL TOP NUMBERS FRONT NUMBERS
5 2 2 1 1 1 3
6 1 4 1
2 2 2
3 2 1
4 1 1
7 1 4 2
2 3 2
2 1 4
1 5 1
8 2 5 1 1 4 3
9 5 2 2
3 3 3
2 1 6
1 4 4
1 2 6
1 5 3
10 6 3 1
3 6 1
5 4 1
4 2 4
2 3 5
4 1 5
11 5 4 2 1 6 4
12 4 4 4
5 6 1
5 2 5
1 6 5
4 5 3
4 4 4
13 5 3 5
6 2 5
1 6 6
3 4 6
14 5 4 5
6 2 6
3 5 6
3 6 5
15 6 6 3
5 6 4
6 3 6
4 6 5
4 5 6
5 5 5
16 5 6 5 6 6 4

During 2015 we had another solution sent in showing other numbers on the dice that would work, here it is.
Yr 3/4 children from St Peter Julian Eymard in Australia sent in these

 Total Top Side 7 142 223 9 243 351 9 252 333 9 423 216 10 622 343 10 262 154 12 516 624 12 426 264 14 662 554 14 446 554

Thank you year 3/4 from St. Peter Julian Eymard