Year 3 Conjecturing and generalising

  • Strike it out
    problem
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    Strike It Out

    Age
    5 to 11
    Challenge level
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    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Which Scripts?
    problem
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    Which Scripts?

    Age
    7 to 11
    Challenge level
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    There are six numbers written in five different scripts. Can you sort out which is which?

  • Square Corners
    problem
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    Square Corners

    Age
    7 to 11
    Challenge level
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    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

  • Number Differences
    problem
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    Number Differences

    Age
    7 to 11
    Challenge level
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    Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

  • Real Statistics
    problem
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    Real Statistics

    Age
    7 to 11
    Challenge level
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    Have a look at this table of how children travel to school. How does it compare with children in your class?

  • Music to my Ears
    problem
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    Music to My Ears

    Age
    7 to 11
    Challenge level
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    Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

  • Magic Vs
    problem
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    Magic Vs

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • Follow the numbers
    problem
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    Follow the Numbers

    Age
    7 to 11
    Challenge level
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    What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

  • Journeys in Numberland
    problem
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    Journeys in Numberland

    Age
    7 to 11
    Challenge level
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    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • problem
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    Class 5's Names

    Age
    7 to 11
    Challenge level
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    Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

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    The Domesday Project

    Age
    7 to 11
    Challenge level
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    Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?

  • Build it up
    problem
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    Build It Up

    Age
    7 to 11
    Challenge level
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    Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

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    This Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
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    Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Board Block Challenge
    problem
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    Board Block Challenge

    Age
    7 to 11
    Challenge level
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    Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

  • Consecutive Numbers
    problem
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    Consecutive Numbers

    Age
    7 to 14
    Challenge level
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    An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

  • Got It
    problem
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    Got It

    Age
    7 to 14
    Challenge level
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    A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.