Working systematically

  • Buying a Balloon
    problem
    Favourite

    Buying a Balloon

    Age
    7 to 11
    Challenge level
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    Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

  • Is a Square a Rectangle?
    problem

    Is a Square a Rectangle?

    Age
    7 to 11
    Challenge level
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    How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
  • Two By One
    problem

    Two by One

    Age
    7 to 11
    Challenge level
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    An activity making various patterns with 2 × 1 rectangular tiles.

  • A snail looking up to the right.
    problem

    Snails' Trails

    Age
    7 to 11
    Challenge level
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    Alice and Brian are snails who live on a wall and can only travel along the cracks. Alice wants to go to see Brian. How far is the shortest route along the cracks? Is there more than one way to go?

  • The Pet Graph
    problem

    The Pet Graph

    Age
    7 to 11
    Challenge level
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    Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?
  • A Child is Full of ...
    problem

    A Child Is Full of ...

    Age
    7 to 11
    Challenge level
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    My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
  • A green book.
    problem

    Page Numbers

    Age
    7 to 11
    Challenge level
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    Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

  • Broken Toaster
    problem

    Broken Toaster

    Age
    7 to 11
    Challenge level
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    Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
  • Bunny Hop
    problem

    Bunny Hop

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?
  • A birthday cake with lots of colourful candles.
    problem

    Crack the Code

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

    The Zargoes use almost the same alphabet as English. What does this birthday message say?