Ratio and proportion

  • Once Upon a Time
    problem

    Once Upon a Time

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?

  • Timber!
    problem

    Timber!

    Age
    7 to 11
    Challenge level
    2 out of 3

    How can the school caretaker be sure that the tree would miss the school buildings if it fell?

  • Nutty Mixture
    problem

    Nutty Mixture

    Age
    7 to 11
    Challenge level
    2 out of 3

    Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?

  • Number the Sides
    problem

    Number the Sides

    Age
    7 to 11
    Challenge level
    2 out of 3

    The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

  • Rod Ratios
    problem

    Rod Ratios

    Age
    7 to 11
    Challenge level
    3 out of 3

    Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?

  • Rule of Three
    problem

    Rule of Three

    Age
    11 to 14
    Challenge level
    1 out of 3

    If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

  • Racing odds
    problem

    Racing Odds

    Age
    11 to 14
    Challenge level
    1 out of 3

    In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

  • Cereal mix
    problem

    Cereal Mix

    Age
    11 to 14
    Challenge level
    1 out of 3

    A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars. What combination of ingredients costing £5 per kg could he supply?

  • Retiring to paradise
    problem

    Retiring to Paradise

    Age
    11 to 14
    Challenge level
    1 out of 3

    When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?

  • Tray Bake
    problem

    Tray Bake

    Age
    11 to 14
    Challenge level
    1 out of 3
    My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?