Conjecturing and generalising

  • 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?

  • Sums and Differences 1
    problem

    Sums and Differences 1

    Age
    7 to 11
    Challenge level
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    This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
  • Sums and Differences 2
    problem

    Sums and Differences 2

    Age
    7 to 11
    Challenge level
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    Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?