Conjecturing and generalising

  • Nice or Nasty
    problem
    Favourite

    Nice or Nasty

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

    There are nasty versions of this dice game but we'll start with the nice ones...

  • 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?

  • Times Tables Shifts
    problem
    Favourite

    Times Tables Shifts

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

    In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

  • Follow the numbers
    problem
    Favourite

    Follow the Numbers

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

    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.

  • Area and perimeter
    problem
    Favourite

    Area and Perimeter

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

    What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

  • 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?

  • Take three numbers
    problem
    Favourite

    Take Three Numbers

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

    What happens when you add three numbers together? Will your answer be odd or even? How do you know?

  • Snake Coils
    problem

    Snake Coils

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    This challenge asks you to imagine a snake coiling on itself.