Ratio, Proportion and Rates of Change: Age 11-16

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Ratio, Proportion and Rates of Change: Age 11-16.

We have put together a selection of these short problems as printable worksheets:

Printable worksheets: Age 11-14 ⭐   Printable worksheets: Age 11-14 ⭐⭐

Printable worksheet: Age 14-16 ⭐   Printable worksheets: Age 14-16 ⭐⭐   Printable worksheets: Age 14-16 ⭐⭐⭐

Printable worksheet solutions


  • Small tomato seedlings in pink pots.
    problem

    Walk Up the Escalator

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you work out how long Aimee would take to get up the escalator if she walked?

  • Small tomato seedlings in pink pots.
    problem

    100m Sprint

    Age
    14 to 16
    Challenge level
    3 out of 3

    Anna, Bridget and Carol run a race. Can you work out where Carol was when Anna finished?

  • Small tomato seedlings in pink pots.
    problem

    Day Out

    Age
    14 to 16
    Challenge level
    3 out of 3

    Chris cycled faster than expected. Can you work out his average speed?

  • Small tomato seedlings in pink pots.
    problem

    Boys and Girls

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you find the total number of students in the school, given some information about ratios?

  • Small tomato seedlings in pink pots.
    problem

    Laps

    Age
    14 to 16
    Challenge level
    3 out of 3

    On which of the hare's laps will she first pass the tortoise?

  • Small pepper seedlings in turquoise pots.
    problem

    Backwards Laps

    Age
    14 to 16
    Challenge level
    3 out of 3

    If two friends run in opposite directions around a track, and they pass each other every 24 seconds, how long do they take to complete a lap?

  • Small tomato seedlings in pink pots.
    problem

    Petrol Stop

    Age
    14 to 16
    Challenge level
    3 out of 3

    From the information given, can you work out how long Roberto drove for after putting petrol in his car?

  • Small tomato seedlings in pink pots.
    problem

    Candles

    Age
    14 to 16
    Challenge level
    3 out of 3

    What is the ratio of the lengths of the candles?

  • Small tomato seedlings in pink pots.
    problem

    Two Trains

    Age
    14 to 16
    Challenge level
    3 out of 3

    Two trains started simultaneously, each travelling towards the other. How long did each train need to complete the journey?