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Primary Live Problems and Recent Solutions

Each time you visit the NRICH site there are usually some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.

The last day for sending solutions to these live problems is Monday 2 November.

Live problems

  • Five Steps to 50
    problem
    Favourite

    Five Steps to 50

    Age
    5 to 7
    Challenge level
    2 out of 3

    Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

  • A rolled up old-fashioned treasure map.
    problem
    Favourite

    Treasure Hunt

    Age
    7 to 14
    Challenge level
    1 out of 3

    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Recently solved problems

  • Five sticks of linked cubes of decreasing length, with the colours in rainbow order.
    problem
    Favourite

    Making Sticks

    Age
    5 to 7
    Challenge level
    1 out of 3

    Kimie and Sebastian were lining up sticks of lengths two and three. What lengths could they make their lines?

  • A red kite in flight.
    problem
    Favourite

    Hunting for Averages

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

  • problem
    Favourite

    Doughnut Percents

    Age
    7 to 14
    Challenge level
    2 out of 3

    Can you make doughnuts by matching these fractions, decimals and percentages?

  • A yellow bag containing some threes.
    problem
    Favourite

    Play to 37

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Dicey Operations
    game
    Favourite

    Dicey Operations

    Age
    7 to 14
    Challenge level
    1 out of 3

    In these addition and subtraction games, you'll need to think strategically to get closest to the target.