There are 109 NRICH Mathematical resources connected to Maths supporting SET, you may find related items under Cross-curricular contexts.
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These Olympic quantities have been jumbled up! Can you put them back together again?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Can you work out which processes are represented by the graphs?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Can you deduce which Olympic athletics events are represented by the graphs?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Which countries have the most naturally athletic populations?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Have you ever wondered what it would be like to race against Usain Bolt?
Invent a scoring system for a 'guess the weight' competition.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
How do you choose your planting levels to minimise the total loss at harvest time?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Was it possible that this dangerous driving penalty was issued in error?
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Look at the advanced way of viewing sin and cos through their power series.
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Match the descriptions of physical processes to these differential equations.
Is there a temperature at which Celsius and Fahrenheit readings are the same?
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record your findings.
Use your skill and judgement to match the sets of random data.
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.
Build up the concept of the Taylor series
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Use simple trigonometry to calculate the distance along the flight path from London to Sydney.
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.
Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?
If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.