Year 5 Being curious

  • Dicey Array
    game
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    Dicey Array

    Age
    5 to 11
    Challenge level
    filled star empty star empty star

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

  • swimming pool
    problem
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    Swimming Pool

    Age
    5 to 11
    Challenge level
    filled star empty star empty star

    In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

  • Shadow Play
    problem
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    Shadow Play

    Age
    5 to 11
    Challenge level
    filled star filled star filled star

    Here are shadows of some 3D shapes. What shapes could have made them?

  • A section of a bracelet made of colourful beads.
    problem
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    Bracelets

    Age
    7 to 11
    Challenge level
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    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • problem
    Favourite

    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
    Favourite

    Multiplication Squares

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    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.

  • Transformations on a Pegboard
    problem
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    Transformations on a Pegboard

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    How would you move the bands on the pegboard to alter these shapes?

  • problem
    Favourite

    Which Is Quicker?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

  • Brush Loads
    problem
    Favourite

    Brush Loads

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    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.

  • Sea Level
    problem
    Favourite

    Sea Level

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    What numbers would you put on this number line as it goes under the sea level?

  • Three Dice
    problem
    Favourite

    Three Dice

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

  • Division Rules
    problem
    Favourite

    Division Rules

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    This challenge encourages you to explore dividing a three-digit number by a single-digit number.

  • Tumbling Down
    problem
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    Tumbling Down

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Watch this animation. What do you see? Can you explain why this happens?

  • Less is More
    problem
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    Less Is More

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Use your knowledge of place value to try to win this game. How will you maximise your score?

  • Twenty Divided into Six
    problem
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    Twenty Divided Into Six

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    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?

  • problem
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    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.

  • Pouring Problem
    problem
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    Pouring Problem

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    What do you think is going to happen in this video clip? Are you surprised?

  • Fitted
    problem
    Favourite

    Fitted

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    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?

  • Fraction Fascination
    problem
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    Fraction Fascination

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

  • Curious number
    problem
    Favourite

    Curious Number

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    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?

  • Olympic Turns
    problem
    Favourite

    Olympic Turns

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

  • Ribbon Squares
    problem
    Favourite

    Ribbon Squares

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

  • Subtraction Surprise
    problem
    Favourite

    Subtraction Surprise

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    Try out these calculations. Are you surprised by the results?

  • Factors and Multiples Game
    game
    Favourite

    Factors and Multiples Game

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    A game in which players take it in turns to choose a number. Can you block your opponent?

  • Xavi's T-shirt
    problem
    Favourite

    Xavi's T-Shirt

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    How much can you read into a T-shirt?