Year 5 Being curious

  • Dicey Array
    game
    Favourite

    Dicey array

    Age
    5 to 11
    Challenge level
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    Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

  • problem

    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?

  • Brush Loads
    problem

    Brush loads

    Age
    7 to 11
    Challenge level
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    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Three Dice
    problem

    Three dice

    Age
    7 to 11
    Challenge level
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    Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

  • Tumbling Down
    problem

    Tumbling down

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you see? Can you explain why this happens?

  • Pebbles
    problem

    Pebbles

    Age
    7 to 11
    Challenge level
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    Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

  • Twenty Divided into Six
    problem

    Twenty divided into six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

  • Pouring Problem
    problem

    Pouring problem

    Age
    7 to 11
    Challenge level
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    What do you think is going to happen in this video clip? Are you surprised?

  • Fitted
    problem

    Fitted

    Age
    7 to 11
    Challenge level
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    Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

  • Curious number
    problem

    Curious number

    Age
    7 to 11
    Challenge level
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    Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?