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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 submitting solutions to these live problems is Monday 14 October.

Live problems

  • Round the Three Dice
    problem
    Favourite

    Round the Three Dice

    Age
    7 to 11
    Challenge level
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    What happens when you round these three-digit numbers to the nearest 100?

  • Lots of Lollies
    problem
    Favourite

    Lots of Lollies

    Age
    5 to 7
    Challenge level
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    Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Take a look at these recently solved problems.

Recently solved problems

  • Doubling Fives
    problem
    Favourite

    Doubling Fives

    Age
    5 to 7
    Challenge level
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    This activity focuses on doubling multiples of five.

  • Two and Two
    problem
    Favourite

    Two and Two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Got It
    problem
    Favourite

    Got It

    Age
    7 to 14
    Challenge level
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    A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

  • Square split into a triangle and trapezium
    problem
    Favourite

    Tangram Tangle

    Age
    5 to 7
    Challenge level
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    If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

  • Button-Up Some More
    problem
    Favourite

    Button-Up Some More

    Age
    7 to 11
    Challenge level
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    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?