Exploring and noticing

  • Order, Order!
    problem

    Order, order!

    Age
    5 to 11
    Challenge level
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    Can you place these quantities in order from smallest to largest?

  • Discuss and Choose
    problem

    Discuss and choose

    Age
    5 to 11
    Challenge level
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    This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

  • Carroll Diagrams
    problem

    Carroll diagrams

    Age
    5 to 11
    Challenge level
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    Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

  • Seeing Squares
    problem

    Seeing squares

    Age
    5 to 11
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Number Families
    problem

    Number families

    Age
    11 to 14
    Challenge level
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    How many different number families can you find?
  • Fractions Rectangle
    problem

    Fractions rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
  • Dicey Addition
    problem

    Dicey addition

    Age
    5 to 11
    Challenge level
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    In these addition games, you'll need to think strategically to get closest to the target.

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
  • Sending and Receiving Cards
    problem

    Sending and receiving cards

    Age
    7 to 11
    Challenge level
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    This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
  • Vector journeys
    problem

    Vector journeys

    Age
    14 to 18
    Challenge level
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    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?