Being resilient

  • 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?

  • About Average
    problem
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    About Average

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Making a difference
    problem
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    Making a Difference

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different differences can you make?

  • Colourful Cube
    problem
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    Colourful Cube

    Age
    11 to 14
    Challenge level
    1 out of 3

    A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

  • Star Polygons
    problem
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    Star Polygons

    Age
    11 to 14
    Challenge level
    2 out of 3

    Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

  • 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?

  • Where can we visit?
    problem
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    Where Can We Visit?

    Age
    11 to 14
    Challenge level
    2 out of 3

    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: ×2 and -5. What do you think?

  • 1 Step 2 Step
    problem
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    1 Step 2 Step

    Age
    11 to 14
    Challenge level
    2 out of 3

    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?

  • Egyptian Fractions
    problem
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    Egyptian Fractions

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.

  • Coordinate Patterns
    problem
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    Coordinate Patterns

    Age
    11 to 14
    Challenge level
    2 out of 3

    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?