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

1 3 Extra Answer 3 4 Back

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

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

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

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

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: http://mathworld.wolfram.com/TriangleTiling.html 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

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

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 http://www.transum.org/Software/SW/Starter_of_the_day/starter_December25.ASP Answer 4 2 8 Back Extra: Can two shapes have the same area but different perimeters? Yes, e.g.

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: http://www.transum.org/software/SW/Starter_of_the_day/starter_December26.asp 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

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

Replace the questions marks with pudding weights: Have Sum Pudding Replace the questions marks with pudding weights: http://www.transum.org/Software/sw/Starter_of_the_day/starter_December22.asp 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

Christmas Decorations Read the instructions below the pictures and try to complete the puzzle 2 1 7 5 9 7 3 6 1 http://www.teacherspayteachers.com/Product/Warm-ups-Christmas-Math-Deductive-Reasoning-27227 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

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 + + + + + + + + http://www.transum.org/software/SW/Starter_of_the_day/starter_December19.asp#sthash.W9llJvRu.dpuf 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

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

Future problems

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

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

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

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

More ideas Matchsticks style problem to make a christmas tree…how many more needed for …. Layer? What number is missing? (either relationship or arithmagons) http://www.transum.org/Software/SW/Starter_of_the_day/starter_march5.ASP http://www.transum.org/Software/sw/Starter_of_the_day/Starter_December23.asp http://www.transum.org/Software/SW/Starter_of_the_day/starter_December12.ASP 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.