Exploring and noticing

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?

  • Multiply Multiples 1
    problem
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    Multiply multiples 1

    Age
    7 to 11
    Challenge level
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    Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

  • Multiply Multiples 2
    problem
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    Multiply multiples 2

    Age
    7 to 11
    Challenge level
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    Can you work out some different ways to balance this equation?

  • Round the Four Dice
    problem
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    Round the four dice

    Age
    7 to 11
    Challenge level
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    This activity involves rounding four-digit numbers to the nearest thousand.

  • Round the Dice Decimals 2
    problem
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    Round the dice decimals 2

    Age
    7 to 11
    Challenge level
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    What happens when you round these numbers to the nearest whole number?

  • Round the Three Dice
    problem
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    Round the three dice

    Age
    7 to 11
    Challenge level
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    What happens when you round these three-digit numbers to the nearest 100?

  • Round the Dice Decimals 1
    problem
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    Round the dice decimals 1

    Age
    7 to 11
    Challenge level
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    Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

  • Multiply Multiples 3
    problem
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    Multiply multiples 3

    Age
    7 to 11
    Challenge level
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    Have a go at balancing this equation. Can you find different ways of doing it?

  • Division Rules
    problem
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    Division rules

    Age
    7 to 11
    Challenge level
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    This challenge encourages you to explore dividing a three-digit number by a single-digit number.

  • Name That Triangle!
    problem
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    Name that triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?