Being collaborative

  • What's it worth?
    problem

    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Twenty Divided into Six
    problem

    Twenty divided into six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

  • Numerically Equal
    problem

    Numerically equal

    Age
    7 to 11
    Challenge level
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    Can you draw a square in which the perimeter is numerically equal to the area?

  • Pumpkin Pie Problem
    problem

    Pumpkin pie problem

    Age
    7 to 11
    Challenge level
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    Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

  • Forgot the Numbers
    problem

    Forgot the numbers

    Age
    7 to 11
    Challenge level
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    On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

  • Egyptian Rope
    problem

    Egyptian rope

    Age
    7 to 11
    Challenge level
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    The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

  • problem

    How many times?

    Age
    7 to 11
    Challenge level
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    On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

  • problem

    Watch the clock

    Age
    7 to 11
    Challenge level
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    During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

  • What's in a Name?
    problem

    What's in a name?

    Age
    5 to 7
    Challenge level
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    What do you notice about these squares of numbers? What is the same? What is different?
  • Quadrilaterals
    problem

    Quadrilaterals

    Age
    7 to 11
    Challenge level
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    How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?