Exploring and noticing

  • Spinners
    problem
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    Spinners

    Age
    16 to 18
    Challenge level
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    How do scores on dice and factors of polynomials relate to each other?
  • Sums of Pairs
    problem
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    Sums of Pairs

    Age
    11 to 16
    Challenge level
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    Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
  • One to Eight
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    One to Eight

    Age
    11 to 14
    Challenge level
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    Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.
  • Seesaw Shenanigans
    problem
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    Seesaw Shenanigans

    Age
    3 to 7
    Challenge level
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    A group of animals has made a seesaw in the woods. How can you make the seesaw balance?

  • Paper Patchwork 1
    problem
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    Paper Patchwork 1

    Age
    5 to 7
    Challenge level
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    Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

  • Paper Patchwork 2
    problem
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    Paper Patchwork 2

    Age
    5 to 7
    Challenge level
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    Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

  • Let's Investigate Triangles
    problem
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    Let's Investigate Triangles

    Age
    5 to 7
    Challenge level
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    Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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    Biscuit Decorations

    Age
    5 to 7
    Challenge level
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    Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

  • Writing Digits
    problem
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    Writing Digits

    Age
    5 to 7
    Challenge level
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    Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

  • Next Domino
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    Next Domino

    Age
    5 to 7
    Challenge level
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    Which comes next in each pattern of dominoes?