Exploring and noticing

  • Great Squares
    problem

    Great squares

    Age
    7 to 11
    Challenge level
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    Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
  • It's all about 64
    problem

    It's all about 64

    Age
    7 to 11
    Challenge level
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    Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
  • Calendar Patterns
    problem

    Calendar patterns

    Age
    7 to 11
    Challenge level
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    In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
  • Which Scripts?
    problem
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    Which scripts?

    Age
    7 to 11
    Challenge level
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    There are six numbers written in five different scripts. Can you sort out which is which?

  • Highest and Lowest
    problem
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    Highest and lowest

    Age
    7 to 11
    Challenge level
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    Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

  • Zios and Zepts
    problem
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    Zios and Zepts

    Age
    7 to 11
    Challenge level
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    On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

  • problem
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    Abundant numbers

    Age
    7 to 11
    Challenge level
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    48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

  • problem
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    The moons of Vuvv

    Age
    7 to 11
    Challenge level
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    The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

  • Plenty of Pens
    problem
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    Plenty of pens

    Age
    7 to 11
    Challenge level
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    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • problem
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    Multiplication squares

    Age
    7 to 11
    Challenge level
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    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.