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THE AMAZING MATHEMATICAL MYSTERY TOUR You have been chosen to go on a magical mathematical mystery tour. On your journey you have to solve a series of problems to find some clues. When you have completed each puzzle successfully you will be given a letter. These must be pieced together to solve this riddle: My spells are ingenious, I’m clever and wise! If you find my home, you may well get a prize! Before your journey: There are 5 envelopes each with two different digit cards numbered from 0-9. The sum of the cards is written on each envelope. 3 5 15 8 14 Which 2 cards are inside the 8 envelope? Is it 6 & 2, 0 & 8 or 5 & 3? Trail through the wood: You must find a route through the wood. The wood is divided into 36 squares, 6 wide and 6 deep. Each of the squares is numbered to show how many trees are in it. You can travel any way through the wood but you must count the number of trees in the squares you go through. Find a path with the fewest trees. 4 5 8 7 5 7 Start 7 3 8 8 1 7 6 9 4 5 1 3 8 2 8 9 3 2 Finish 2 4 6 9 1 4 9 6 9 2 8 5 The River: You have to cross the river, there are different coloured stepping stones set out in a repeating pattern blue, orange, purple, green, yellow, red, blue, orange……. Clue 4 will be found under the 36th stone, what colour is it? The Wizard’s Gate: There is a grid on the wizard’s gate with the numbers 1, 2, 3, 4, 5, 6, 7, 8 & 9. These numbers need to be placed on the grid so that both the horizontal, diagonal and vertical lines add up to 15. Which number goes in the middle? The Wizard’s wardrobe: The wizard has 3 different coloured hats, green, blue and purple, 3 different coloured cloaks, green, blue and purple and 3 different coloured wands, green, blue and purple. How many different outfits does the wizard have? The Wizard’s breakfast: The wizard likes 5 slices of toast for his breakfast. There is only room on the grill to toast one side of two slices of bread in two minutes. How long will it take to grill the wizard’s toast? The Wizard’s rabbits: The wizard has some pet rabbits that help him out with his spells. They are kept in hutches. If 7 rabbits are put in each rabbit hutch, one rabbit is left over. If 9 rabbits are put in each hutch, one hutch is left empty. Can you find how many rabbits and how many hutches there are?