Multiplication and division

  • Tom's Number
    problem

    Tom's Number

    Age
    7 to 11
    Challenge level
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    Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
  • Oranges and Lemons
    problem

    Oranges and Lemons

    Age
    7 to 11
    Challenge level
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    On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?
  • Back to School
    problem

    Back to School

    Age
    7 to 11
    Challenge level
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    Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?
  • Dividing a Cake
    problem

    Dividing a Cake

    Age
    7 to 11
    Challenge level
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    Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
  • Penta Post
    problem

    Penta Post

    Age
    7 to 11
    Challenge level
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    Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
  • The Clockmaker's Birthday Cake
    problem

    The Clockmaker's Birthday Cake

    Age
    7 to 11
    Challenge level
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    The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
  • A Conversation Piece
    problem

    A Conversation Piece

    Age
    7 to 11
    Challenge level
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    Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?
  • Clock Face
    problem

    Clock Face

    Age
    7 to 11
    Challenge level
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    Where can you draw a line on a clock face so that the numbers on both sides have the same total?

  • Gift Stacks
    problem

    Gift Stacks

    Age
    7 to 11
    Challenge level
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    Use the information to work out how many gifts there are in each pile.