Working systematically

  • problem
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    How Much Did It Cost?

    Age
    7 to 11
    Challenge level
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    Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.

  • Through the Window
    problem
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    Through the Window

    Age
    7 to 11
    Challenge level
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    My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

  • Six Numbered Cubes
    problem
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    Six Numbered Cubes

    Age
    7 to 11
    Challenge level
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    This task combines spatial awareness with addition and multiplication.

  • A4 Fraction Addition
    problem
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    A4 Fraction Addition

    Age
    7 to 11
    Challenge level
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    Try adding fractions using A4 paper.

  • Different Deductions
    problem
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    Different Deductions

    Age
    7 to 11
    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?

  • Seeing Rhombuses
    problem
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    Seeing Rhombuses

    Age
    7 to 11
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • Quadrilaterals
    problem
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    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?

  • problem
    Favourite

    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?

  • Counting Cards
    problem
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    Counting Cards

    Age
    7 to 11
    Challenge level
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    A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

  • Fitted
    problem
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    Fitted

    Age
    7 to 11
    Challenge level
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    Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?