Place value

  • Add to 200
    problem
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    Add to 200

    Age
    11 to 14
    Challenge level
    1 out of 3

    By selecting digits for an addition grid, what targets can you make?

  • Forwards Add Backwards
    problem
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    Forwards Add Backwards

    Age
    11 to 14
    Challenge level
    1 out of 3

    What happens when you add a three digit number to its reverse?

  • Legs Eleven
    problem
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    Legs Eleven

    Age
    11 to 14
    Challenge level
    2 out of 3

    Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

  • Think of Two Numbers
    problem
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    Think of Two Numbers

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Reversals
    problem
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    Reversals

    Age
    11 to 14
    Challenge level
    2 out of 3

    Where should you start, if you want to finish back where you started?

  • Six times five
    problem
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    Six Times Five

    Age
    11 to 14
    Challenge level
    3 out of 3
    How many six digit numbers are there which DO NOT contain a 5?
  • How Many Miles To Go?
    problem
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    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • problem
    Favourite

    Big Powers

    Age
    11 to 16
    Challenge level
    3 out of 3

    Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

  • Plus Minus
    problem
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    Plus Minus

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you explain the surprising results Jo found when she calculated the difference between square numbers?