Mathematical Modelling - Short Problems
To Run or Not to Run?
If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?
Honey Bees
How many bees could fly 1000 miles if they had 10 gallons of honey?
Hiking the Hill
Sarah's average speed for a journey was 2 mph, and her return average speed was 4 mph. What is her average speed for the whole journey?
The London Eye
The 80 spokes of The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?
Relative Time
Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
Trolley Park
In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?
Travelling by Train
Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?
Travelator
When Andrew arrives at the end of the walkway, how far is he ahead of Bill?
Tennis Training
After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?
Packing Boxes
Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.