2. Imagine moving the coloured pieces
Extra
Adapted from Transum.org
Answer
Help

3. 1 3
Extra
Answer
3 4
Back

4. Mirror Arithmetic Complete the reflections and work out the sums
=49
=34
=63 =4
I’ve done the first one for you!
Answer
Help
Extra: how many capital letters can you think of that have lines of symmetry?
Back
A, B, C, D, E, H, I, K, M, O, T, U, V, W, X, Y

5. Transformed World The letters below have been rotated
Transformed World The letters below have been rotated. Can you work out what country they spell? U U H H H H Z Z A A
To say ‘Happy Christmas’ here you might say:
'Sheng Dan Kuai Le’
圣诞快乐’
Answer
Help
Back

6. How many mistakes can you find?
Broken Mirror The picture on the right is meant to be a reflection of the picture on the left.
How many mistakes can you find?
Adapted from MEP
You should be able to find 6!
Answer
Help
Back

7. Read the riddle below, can you figure it out?
Bad Timing
Read the riddle below, can you figure it out?
two mathematicians are going on a date and agree to meet at a restaurant for a rather late dinner.
They are both trying to be very precise, and try to arrive at exactly the right time, but arrive 29 minutes apart.
What time did they agree to meet?
Think about 24 hour clocks! E.g. 19:23
The time is between 10pm and 11pm
Answer
Help
Help
Back

9. Tree Triangles How many triangles can you see hidden in the picture below?1 16 7 3 1
= 27!! 3
Look at different sized triangles!
More info: 5
Answer
Help 7
Back
Extra: How many triangles will be on the next layer of the tree? 9
How many triangles will there be overall? 48

10. Click individual pictures for answers
Say what you see!
All the pictures make well known words or phrases. Can you work them all out?
Potatoes
Foreign Language
Snowball
Excuse me
Good Looking
Fork in the road
Click individual pictures for answers
Back

11. Which table has the larger area?
Christmas Tables
Carol’s trying to plan a Christmas dinner, and wants to use her largest table
Which table has the larger area?
They’re the exact same!
Taken from
Answer 4 2 8
Back
Extra: Can two shapes have the same area but
different perimeters?
Yes, e.g.

12. Wrapped Up
All presents are wrapped in cube boxes. Can you work out the missing information?
2cm
11cm
Length = 5cm
Volume =
Length = Volume = 8cm3
Length = 4cm Volume =
Length = Volume = 1331cm3
125cm3
64cm3
Adapted from:
Volume = length x base x height
(for cubes all 3 are the same)
Doubling length makes the volume 8 times bigger! (x 2 x 2 x 2)
Answer
Help
Extra:
Back
The little snowman took 7kg of snow to make. How much snow would be needed to make one twice the size?
56kg

13. Use the clues to work out how much was spent on presents
Average Gifts
Use the clues to work out how much was spent on presents
The median amount spent is £5
The mode amount spent is £9
The range of amounts spent is £6.50
The mean amount spent is £6
Lil’ Brother
Big Sis’
Best friend
Mum
Dad
£2.50
£4.50 £5 £9 £9
Median is middle Mode is most frequent
Answer
Help
Back
Extra: I also decide to buy my maths teacher a present, and the mean changes to £7. How much was the present?
£12

15. Replace the questions marks with pudding weights:
Have Sum Pudding
Replace the questions marks with pudding weights:
Can also change the numbers
713
547
713
547
651
547
651
460
Answer
713
460
713
651
Back
713
460
547
460
547
460
547
651

16. Christmas Decorations
Read the instructions below the pictures and try to complete the puzzle 2 1 7 5 9 7 3 6 1 4 6 5
Answer 8
Help 2 4 3
Arrange the digits 1 to 7 so that each side of the box adds up to the same number
Arrange the digits 1 to 9 so that all sides add up to the same total
Back

17. Read the clues and try to work out the answer to the following:
The Cost of Christmas
Read the clues and try to work out the answer to the following:
Add them all together + + + + + + + +
2red + 2purple + 2blue +2yellow + 2green
cost £144
Answer
Help
1red + 1purple + 1blue +1yellow + 1green
cost £72
What do you get if you add everything together?
Back
Extra: can you work out how much each present costs?
red = £17, purple = £13, blue = £7, yellow = £24, green = £11

18. Work out as many questions as possible before it’s too late
Snowed Under
Work out as many questions as possible before it’s too late
The sum of all the numbers from 1 to 31
496
The lowest common multiple of 12 and 14 84
23 ×17
391
59 squared
3481
1778 −245
1533
The number of sides in 3 octagons and 7 pentagons 80
Drag the snow image to the side if you want to change the questions, and then put back at the end
Answers
981 ÷9
109
47−4×6 23
Back
The number of days in 9 weeks
12+100−8 63
104

20. Future problems

21. (kock snowflake, area, perimeter, sides etc.)
Snowflakes
(kock snowflake, area, perimeter, sides etc.)
Median is middle Mode is most frequent
Answer
Help
Back

22. Add it all up!!! x
3 gold rings
11x
-4b 6b 2x 5 7b
2 gold rings 7 12

25. Starter – how many squares are there on a chessboard
The total is 208! 8 x 8 = 64 7 x 7 = 49 6 x 6 = 36 5 x 5 = 25 4 x 4 = 16 3 x 3 = 9 2 x 2 = 4 1 x 1 = 1

26. 120 Burgers can be bought in packs of 8
Starter
Burgers can be bought in packs of 8
Buns can be bought in packs of 12
Cheese slices can be bought in packs of 10
Make more christmassy
How many cheese burgers should I make if I don’t want any leftover ingredients?
120
15 packs of burgers
10 packs of buns
12 packs of cheese slices

27. More ideas
Matchsticks style problem to make a christmas tree…how many more needed for …. Layer?
What number is missing? (either relationship or arithmagons)
Possible future puzzles/problems:
1) Similar shapes - Rescaling a basic Christmas shape (snowflake, christmas tree) with measurements given, and find the new area. Extension could be two similar snowmen, and finding a new volume.
2) I am giving my baby son a mathematical present... He is going to get some wooden blocks (cubes), and each face of each cube is going to be coloured either red or green.  How many different blocks are possible? (More of a challenge is 3 colours or 4 colours...)
3) How about a Gas,Water,Electricity type problem, where various Christmas characters walk through a snow-filled park from one entrance to a place in the park, but their tracks in the snow are not allowed to cross.