Exploring and noticing

  • Think of Two Numbers
    problem

    Think of two numbers

    Age
    11 to 14
    Challenge level
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    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
  • Skeleton Shapes
    problem

    Skeleton shapes

    Age
    5 to 7
    Challenge level
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    How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

  • problem

    Cycling squares

    Age
    7 to 11
    Challenge level
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    Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

  • problem

    Two primes make one square

    Age
    7 to 11
    Challenge level
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    Can you make square numbers by adding two prime numbers together?

  • A Puzzling Cube
    problem

    A puzzling cube

    Age
    7 to 11
    Challenge level
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    Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

  • Shopping Basket
    problem

    Shopping basket

    Age
    11 to 16
    Challenge level
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    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • problem

    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.

  • Reach 100
    problem

    Reach 100

    Age
    7 to 11
    Challenge level
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    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • All the Digits
    problem

    All the digits

    Age
    7 to 11
    Challenge level
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    This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

  • problem

    One wasn't square

    Age
    7 to 11
    Challenge level
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    Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.