There are 112 results
Broad Topics > Applications > Maths Supporting SET
Olympic Records
Age 11 to 14 Challenge Level:
Can you deduce which Olympic athletics events are represented by the graphs?
Who's the Best?
Age 11 to 14 Challenge Level:
Which countries have the most naturally athletic populations?
How Would You Score It?
Age 11 to 14 Challenge Level:
Invent a scoring system for a 'guess the weight' competition.
Vector Walk
Age 14 to 18 Challenge Level:
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Back Fitter
Age 14 to 16 Challenge Level:
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?
Immersion
Age 14 to 16 Challenge Level:
Various solids are lowered into a beaker of water. How does the water level rise in each case?
Aim High
Age 16 to 18 Challenge Level:
How do you choose your planting levels to minimise the total loss at harvest time?
Maths Filler
Age 11 to 14 Challenge Level:
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Dangerous Driver?
Age 16 to 18 Challenge Level:
Was it possible that this dangerous driving penalty was issued in error?
Time to Evolve 2
Age 16 to 18 Challenge Level:
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
A Question of Scale
Age 14 to 16 Challenge Level:
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?
Real-life Equations
Age 16 to 18 Challenge Level:
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Stats Statements
Age 16 to 18 Challenge Level:
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Taking Trigonometry Series-ly
Age 16 to 18 Challenge Level:
Look at the advanced way of viewing sin and cos through their power series.
Scale Invariance
Age 16 to 18 Challenge Level:
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Root Hunter
Age 16 to 18 Challenge Level:
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
Odd One Out
Age 16 to 18 Short Challenge Level:
In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?
Temperature
Age 11 to 14 Challenge Level:
Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?
Over-booking
Age 16 to 18 Challenge Level:
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?
Epidemic Modelling
Age 14 to 18 Challenge Level:
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
Far Horizon
Age 14 to 16 Challenge Level:
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Gym Bag
Age 11 to 16 Challenge Level:
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Toad in the Hole
Age 11 to 14 Challenge Level:
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
Witch's Hat
Age 11 to 16 Challenge Level:
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Make Your Own Pencil Case
Age 11 to 14 Challenge Level:
What shape would fit your pens and pencils best? How can you make it?
Investigating Epidemics
Age 11 to 16 Challenge Level:
Simple models which help us to investigate how epidemics grow and die out.
Olympic Measures
Age 11 to 14 Challenge Level:
These Olympic quantities have been jumbled up! Can you put them back together again?
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Pinhole Camera
Age 11 to 14 Challenge Level:
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Population Dynamics Collection
Age 16 to 18 Challenge Level:
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Triathlon and Fitness
Age 11 to 14 Challenge Level:
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Pdf Stories
Age 16 to 18 Challenge Level:
Invent scenarios which would give rise to these probability density functions.
Nutrition and Cycling
Age 14 to 16 Challenge Level:
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
Place Your Orders
Age 11 to 14 Challenge Level:
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Fill Me up Too
Age 14 to 16 Challenge Level:
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?
Stadium Sightline
Age 14 to 18 Challenge Level:
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Chocolate Cake
Age 11 to 14 Challenge Level:
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Electric Kettle
Age 14 to 16 Challenge Level:
Explore the relationship between resistance and temperature
Robot Camera
Age 14 to 16 Challenge Level:
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Biology Measurement Challenge
Age 14 to 16 Challenge Level:
Analyse these beautiful biological images and attempt to rank them in size order.
