Place Value, Integers, Ordering and Rounding: Age 11-16

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.


  • Dicey Operations
    game
    Favourite

    Dicey Operations

    Age
    7 to 14
    Challenge level
    1 out of 3

    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • Subtraction Surprise
    problem
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    Subtraction Surprise

    Age
    7 to 14
    Challenge level
    1 out of 3

    Try out these calculations. Are you surprised by the results?

  • More Less is More
    problem
    Favourite

    More Less Is More

    Age
    7 to 14
    Challenge level
    1 out of 3

    In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

  • Number Lines in Disguise
    problem
    Favourite

    Number Lines in Disguise

    Age
    7 to 14
    Challenge level
    2 out of 3

    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • Place your orders
    problem
    Favourite

    Place Your Orders

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

  • Add to 200
    problem
    Favourite

    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?

  • Farey Sequences
    problem
    Favourite

    Farey Sequences

    Age
    11 to 14
    Challenge level
    2 out of 3

    There are lots of ideas to explore in these sequences of ordered fractions.

  • How Many Miles To Go?
    problem
    Favourite

    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?

  • Difference Sudoku
    problem
    Favourite

    Difference Sudoku

    Age
    14 to 16
    Challenge level
    3 out of 3

    Use the differences to find the solution to this Sudoku.