Being curious

  • Your number is...
    problem

    Your number is...

    Age
    7 to 14
    Challenge level
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    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • More Number Pyramids
    problem

    More number pyramids

    Age
    11 to 14
    Challenge level
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    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • Pair Products
    problem

    Pair products

    Age
    14 to 16
    Challenge level
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    Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

  • What Shape and Colour?
    problem

    What shape and colour?

    Age
    5 to 7
    Challenge level
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    Can you fill in the empty boxes in the grid with the right shape and colour?

  • Special Numbers
    problem

    Special numbers

    Age
    11 to 14
    Challenge level
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    My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

  • problem

    Triangles and petals

    Age
    14 to 16
    Challenge level
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    An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?

  • Farey Sequences
    problem

    Farey sequences

    Age
    11 to 14
    Challenge level
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    There are lots of ideas to explore in these sequences of ordered fractions.

  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • problem

    The Brown family

    Age
    5 to 7
    Challenge level
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    Use the information about Sally and her brother to find out how many children there are in the Brown family.

  • 5 on the clock
    problem

    5 on the clock

    Age
    7 to 11
    Challenge level
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    On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?