Exploring and noticing

  • The Thousands Game
    problem

    The thousands game

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

    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • Square It
    problem

    Square it

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Out of Sync
    problem

    Out of sync

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?
  • Too Close to Call
    problem

    Too close to call

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Weekly Problem 24 - 2012
    Can you put these very close fractions into order?
  • Polo Square
    problem

    Polo square

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
  • On the Edge
    problem

    On the edge

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

    If you move the tiles around, can you make squares with different coloured edges?

  • How Big Are Classes 5, 6 and 7?
    problem

    How big are classes 5, 6 and 7?

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

    Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

  • Hundred Square Poster
    problem

    Hundred square

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

    A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

  • The Spider and the Fly
    problem

    The spider and the fly

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

    A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?

  • The Tall Tower
    problem

    The tall tower

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?