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Bob lives in a street with 33 houses. (33 is a palindromic number). He notes that the total sum of all the numbers of all the even numbered houses in the street is also palindromic. What is it? |
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Some small sweets, rather like Smarties, are packed into cylindrical tubs of the same height. The tub of diameter 10cm holds about 800 sweets. How many sweets would you expect in a tub of diameter 15cm? |
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It has three digits. It is a multiple of 11. All the digits are odd. The sum of its digits is a perfect square. What number is it? |
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Julie works in a supermarket and likes displaying cans in pyramids. She makes a triangular based pyramid with one tin on top, then three, then six, then ten and so on. How many tins are needed for a pile ten layers high? |
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In a pack of Brownies, each “Six” knitted an equal number of small squares, under 400. The Elves made a large square, the Imps four smaller squares, the Pixies a rectangle 27 squares long and the Gnomes a rectangle 36 squares long. How many squares did each “Six” make? |
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