Visualising and representing

  • A4 Fraction Subtraction
    problem

    A4 fraction subtraction

    Age
    7 to 11
    Challenge level
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    This task offers opportunities to subtract fractions using A4 paper.

  • Vanishing point
    problem

    Vanishing point

    Age
    14 to 18
    Challenge level
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    How can visual patterns be used to prove sums of series?
  • Children's Thinking
    article

    Children's thinking

    Dr Sue Gifford outlines different ways in which you might capture young children's mathematical thinking and how to send samples to NRICH.

  • Young Children's Mathematical Recording
    article

    Young children's mathematical recording

    In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.
  • Purposeful Paper Folding
    article

    Purposeful paper folding

    In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.
  • Doubly Consecutive Sums
    problem

    Doubly consecutive sums

    Age
    11 to 14
    Challenge level
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    How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?
  • Soma Surface
    problem

    Soma surface

    Age
    11 to 14
    Challenge level
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    What is the surface area of the solid shown?
  • Tennis Training
    problem

    Tennis training

    Age
    14 to 16
    Challenge level
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    After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?
  • Same Face
    problem

    Same face

    Age
    11 to 14
    Challenge level
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    A cube is rolled on a plane, landing on the squares in the order shown. Which two positions had the same face of the cube touching the surface?
  • Travelator
    problem

    Travelator

    Age
    14 to 16
    Challenge level
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    When Andrew arrives at the end of the walkway, how far is he ahead of Bill?