Explaining, convincing and proving

  • Discuss and Choose
    problem
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    Discuss and Choose

    Age
    5 to 11
    Challenge level

    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.

  • Order, Order!
    problem
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    Order, Order!

    Age
    5 to 11
    Challenge level

    Can you place these quantities in order from smallest to largest?

  • Take three numbers
    problem
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    Take Three Numbers

    Age
    5 to 11
    Challenge level

    What happens when you add three numbers together? Will your answer be odd or even? How do you know?

  • Interactive Balance
    interactivity
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    Interactive Balance

    Age
    5 to 11
    Challenge level

    In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!

  • Make 37 Poster
    problem
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    Make 37

    Age
    5 to 11
    Challenge level

    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

  • Growing Garlic
    problem
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    Growing Garlic

    Age
    5 to 11
    Challenge level

    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • School fair necklaces
    problem
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    School Fair Necklaces

    Age
    5 to 11
    Challenge level

    How many possible symmetrical necklaces can you find? How do you know you've found them all?

  • Shadow Play
    problem
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    Shadow Play

    Age
    5 to 11
    Challenge level

    Here are shadows of some 3D shapes. What shapes could have made them?

  • Odd times Even
    problem
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    Odd Times Even

    Age
    5 to 11
    Challenge level

    This problem looks at how one example of your choice can show something about the general structure of multiplication.

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