Problems
Why not send us your solutions?
Snap
Stage:1 Challenge Level:
Try this version of Snap with a friend - do you know the order of the days of the week?
Stop the Clock
Stage:1 Challenge Level:
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Lengthy Journeys
Stage:2 Challenge Level:
Investigate the different distances of these car journeys and find out how long they take.
Weighing Fruit
Stage:2 Challenge Level:
Can you use this information to estimate how much the different fruit selections weigh in kilos and pounds?
Oh! Harry!
Stage:2 Challenge Level:
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
A Day with Grandpa
Stage:2 Challenge Level:
Grandpa was measuring a rug using yards, feet and inches. Can you help William to work out its area?
Zin Obelisk
Stage:3 Challenge Level:
In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.
All in a Jumble
Stage:3 Challenge Level:
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
An Average Average Speed
Stage:4 Challenge Level:
My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?
Round and Round a Circle
Stage:4 Challenge Level:
Can you explain what is happening and account for the values being displayed?
Jumping Gerbils
Stage:4 Challenge Level:
A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.
Trigonometric Protractor
Stage:4 Challenge Level:
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
Swimmers
Stage:4 Challenge Level:
Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?
Dam Busters 1
Stage:5 Challenge Level:
At what positions and speeds can the bomb be dropped to destroy the dam?
Universal Time, Mass, Length
Stage:5 Short Challenge Level:
Can you work out the natural time scale for the universe?
Cannon Balls
Stage:5 Short Challenge Level:
How high will a ball taking a million seconds to fall travel?
Dam Busters 2
Stage:5 Challenge Level:
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
Escape from Planet Earth
Stage:5 Challenge Level:
How fast would you have to throw a ball upwards so that it would never land?
Earth Orbit
Stage:5 Challenge Level:
Follow in the steps of Newton and find the path that the earth follows around the sun.
Featured Solutions
One of Thirty-six
There were so many well-explained solutions to this problem! Did you solve it in the same way?
Cows and Sheep
Francesca, Alex, Samuel and Rees were just four of the problem solvers who sent in very clear solutions to this logic problem.
Articles & Games
Working with Dinosaurs
This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement.
Do You Measure Up?
A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.
A Brief History of Time Measurement
Noticing the regular movement of the Sun and the stars has led to a desire to measure time. This article for teachers and learners looks at the history of man's need to measure things.
Twin Corresponding Sudokus II
Two sudokus in one. Challenge yourself to make the necessary connections.
Toughnuts
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email: nrich@damtp.cam.ac.uk