Kindly provided by UKMT
Fiona wants to draw a 2-dimensional shape whose perimeter passes through all of the points (P, Q, R, S) on the grid of squares shown. Which of the following can she draw? (i) A circle (ii) An equilateral triangle (iii) A square Kindly provided by UKMT 2009 unit cubes are glued together to form a cuboid. A pack, containing 2009 stickers, is opened, and there are enough stickers to place 1 sticker on each exposed face of each unit cube.
How many stickers from the pack are left? Kindly provided by UKMT A figure in the shape of a cross is made from five 1 x 1 squares, as shown. The cross is inscribed in a large square whose sides are parallel to the dashed square, formed by four vertices of the cross.
What is the area of the large outer square? Kindly provided by UKMT Peter wishes to write down a list of different positive integers less than or equal to 10 in such a way that, for each pair of adjacent numbers, one of the numbers is divisible by the other.
Puzzle created and kindly supplied by Michael Jørgensen. The number 142857 has the nice property that multiplying it by 3 is equivalent to simply moving the first digit to the end of the number (see image on left)
Can you find a number which, when multiplied by 3, gives an answer equivalent to moving its last digit to the front? (see image on right) This puzzle is kindly provided by UKMT. A kangaroo is sitting in the Australian outback. He plays a game in which he may only jump 1 metre at a time, either North, South, East or West.
At how many different points could he end up after 10 jumps? A point is chosen at random inside a square QRST.
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Puzzle Ideas
If you have an idea for puzzle of the month, then please do let me know. Archives
September 2017
Don't forget to check out 'Teach Further Maths' - PowerPoints for Teachers and Students of A-Level Further Maths ...and the brilliant NEW educational card game 'Maths Trumps' |