Being resourceful

  • Repeating Patterns
    problem

    Repeating patterns

    Age
    5 to 7
    Challenge level
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    Try continuing these patterns made from triangles. Can you create your own repeating pattern?

  • Cows and Sheep
    problem

    Cows and sheep

    Age
    7 to 11
    Challenge level
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    Use your logical reasoning to work out how many cows and how many sheep there are in each field.
  • Sea Level
    problem

    Sea level

    Age
    7 to 11
    Challenge level
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    What numbers would you put on this number line as it goes under the sea level?

  • All tangled up
    problem

    All tangled up

    Age
    14 to 18
    Challenge level
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    Can you tangle yourself up and reach any fraction?

  • Negatively Triangular
    problem

    Negatively triangular

    Age
    14 to 16
    Challenge level
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    How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

  • First Connect Three
    problem

    First connect three

    Age
    7 to 11
    Challenge level
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    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • swimming pool
    problem

    Swimming pool

    Age
    5 to 11
    Challenge level
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    In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

  • Shape Times Shape
    problem

    Shape times shape

    Age
    7 to 11
    Challenge level
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    These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

  • Number Lines
    problem

    Number lines

    Age
    5 to 7
    Challenge level
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    Leah and Tom each have a number line. Can you work out where their counters will land?

  • Inside Triangles
    problem

    Inside triangles

    Age
    5 to 7
    Challenge level
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    How many different triangles can you draw which each have one dot in the middle?