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Guide and features
Guide and features
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-5
Featured UK Key Stage 3-5; US Grades 6-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3-5
Featured UK Key Stages 3 & 4; US Grade 6-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
Science, Technology, Engineering and Mathematics
: the engineering section of
. This contains mathematical activities for students aged 16 - 19 designed to complement and enhance the study of engineering.
Area of maths
See also the dynamics problems on the
How do these modelling assumptions affect the solutions?
Dam Busters 1
At what positions and speeds can the bomb be dropped to destroy the dam?
Ramping it Up
Look at the calculus behind the simple act of a car going over a step.
Dam Busters 2
Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?
Making More Tracks
Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?
This short question asks if you can work out the most precarious way to balance four tiles.
In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.
More Bridge Building
Which parts of these framework bridges are in tension and which parts are in compression?
What is the furthest a tower can theoretically arch over?
Beam Me Up
Look at the mathematics of the bending of beams.
Euler's Buckling Formula
Find the critial load at which a beam will buckle.
Digital circuits and logic
Can you think like a computer and work out what this flow diagram does?
Can you set the logic gates so that this machine can decide how many bulbs have been switched on?
Not Another NAND!
Prove that you can make any type of logic gate using just NAND gates.
What will happen when you switch on these circular circuits?
Decisions, logistics and control
Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.
What is a random pattern?
Building up Friction
A series of activities to build up intuition on the mathematics of friction
Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.
Stonehenge Is Going Nowhere
See why extensions of the ideas of the log rolling in Stonehenge would lead to a lack of progress in activity!
Power, work and energy in engineering
See also the Power, Work and Energy problems on the
Explore the power of aeroplanes, spaceships and horses.
Go Spaceship Go
Show that even this powerful spaceship will eventually run out of overtaking power.
A look at power generation using wind turbines.
See the Fluids Problems on the
The Wheatstone Bridge
Explore the mathematics behind the famous Wheatstone Bridge circuit.
A Circuit Problem
Find the voltages and currents in this interesting circuit configuration.
Find out how to model a battery mathematically.
As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
Impedance Can Be Complex!
Put your complex numbers and calculus to the test in this impedance calculation.
Find out how Ohm's law develops and find a fundamental link to complex numbers along the way.
Who Is an Engineer?
This short article gives a quick perspective of engineering after one year of a university engineering course and will be useful to help to understand what exactly goes on during an engineering degree course.
Meet the team
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the
Millennium Mathematics Project