Conjecturing and generalising

  • Journeys in Numberland
    problem
    Favourite

    Journeys in Numberland

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

    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • problem
    Favourite

    The Domesday Project

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

    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?

  • problem
    Favourite

    Class 5's Names

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

    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?

  • A yellow bag containing some threes.
    problem
    Favourite

    Play to 37

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

    In this game the winner is the first to make the total 37. Is this a fair game?

  • Multiply Multiples 1
    problem
    Favourite

    Multiply Multiples 1

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

    Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

  • Multiply Multiples 2
    problem
    Favourite

    Multiply Multiples 2

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

    Can you work out some different ways to balance this equation?

  • Round the Four Dice
    problem
    Favourite

    Round the Four Dice

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

    This activity involves rounding four-digit numbers to the nearest thousand.

  • Round the Dice Decimals 2
    problem
    Favourite

    Round the Dice Decimals 2

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

    What happens when you round these numbers to the nearest whole number?

  • Round the Three Dice
    problem
    Favourite

    Round the Three Dice

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

    What happens when you round these three-digit numbers to the nearest 100?

  • Round the Dice Decimals 1
    problem
    Favourite

    Round the Dice Decimals 1

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

    Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?