Year 11 Being resilient

  • In a box
    problem

    In a box

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • LCM Sudoku
    problem

    LCM Sudoku

    Age
    14 to 16
    Challenge level
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    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

  • Partly Painted Cube
    problem

    Partly painted cube

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • Which list is which?
    problem

    Which list is which?

    Age
    14 to 16
    Challenge level
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    Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

  • Odds and Evens made fair
    problem

    Odds and evens made fair

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

  • Kite in a Square
    problem

    Kite in a square

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Areas and Ratios
    problem

    Areas and ratios

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Do you have enough information to work out the area of the shaded quadrilateral?