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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.

Live problems

No live problems at the moment

Recently solved problems

  • Light the Lights Again
    problem
    Favourite

    Light the lights again

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

    Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

  • 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?

  • 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?

  • Heads and Feet
    problem
    Favourite

    Heads and feet

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

    On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

  • Light the Lights
    problem
    Favourite

    Light the lights

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

    Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

  • Climbing Conundrum
    problem

    Climbing conundrum

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

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

  • Digit Discovery
    problem

    Digit discovery

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

    Here is an interesting property about two sets of digits. Can you work out what the digits might be?