Being resilient

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Number Daisy
    problem

    Number daisy

    Age
    11 to 14
    Challenge level
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    Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?

  • Forwards Add Backwards
    problem

    Forwards add backwards

    Age
    11 to 14
    Challenge level
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    What happens when you add a three digit number to its reverse?

  • About Average
    problem

    About average

    Age
    11 to 14
    Challenge level
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    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Legs Eleven
    problem

    Legs eleven

    Age
    11 to 14
    Challenge level
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    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?

  • Where can we visit?
    problem

    Where can we visit?

    Age
    11 to 14
    Challenge level
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    Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

  • 1 Step 2 Step
    problem

    1 step 2 step

    Age
    11 to 14
    Challenge level
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    Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

  • Coordinate Patterns
    problem

    Coordinate patterns

    Age
    11 to 14
    Challenge level
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    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

  • Squares in rectangles
    problem

    Squares in rectangles

    Age
    11 to 14
    Challenge level
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    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?