Year 6 Being curious

  • Doplication
    problem
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    Doplication

    Age
    7 to 11
    Challenge level
    1 out of 3

    We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

  • A wooden noughts and crosses game, with three crosses in a diagonal row.
    problem
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    First Connect Three

    Age
    7 to 11
    Challenge level
    1 out of 3

    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?

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Statement Snap

    Age
    7 to 11
    Challenge level
    1 out of 3

    You'll need to know your number properties to win a game of Statement Snap...

  • A red kite in flight.
    problem
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    Hunting for Averages

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

  • problem
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    Round and Round the Circle

    Age
    7 to 11
    Challenge level
    2 out of 3

    What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

  • In the Money
    problem
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    In the Money

    Age
    7 to 11
    Challenge level
    2 out of 3

    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Different Deductions
    problem
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    Different Deductions

    Age
    7 to 11
    Challenge level
    2 out of 3

    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • A rolled up old-fashioned treasure map.
    problem
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    Treasure Hunt

    Age
    7 to 14
    Challenge level
    1 out of 3

    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • 4 by 4 Mathdokus
    problem
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    4 by 4 Mathdokus

    Age
    7 to 14
    Challenge level
    1 out of 3

    Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

  • Diagonal Sums
    problem
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    Diagonal Sums

    Age
    7 to 14
    Challenge level
    2 out of 3

    In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

  • problem
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    Counting Cogs

    Age
    7 to 14
    Challenge level
    2 out of 3

    Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

  • problem
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    Three Neighbours

    Age
    7 to 14
    Challenge level
    2 out of 3

    Take three consecutive numbers and add them together. What do you notice?

  • Baravelle
    problem
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    Baravelle

    Age
    7 to 16
    Challenge level
    2 out of 3

    What can you see? What do you notice? What questions can you ask?