Other tags that relate to Peeling the Apple or the Cone That Lost Its Head
Non Euclidean Geometry. Engineering. Maths Supporting SET. Trigonometric functions and graphs. Spheres, cylinders & cones. Investigations. Chemistry. Physics. Spreadsheets. Surface and surface area.There are 65 results
Broad Topics > Applications > Maths Supporting SET
Big and Small Numbers in the Living World
Age 11 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Big and Small Numbers in the Physical World
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Perfect Eclipse
Age 14 to 16 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Bigger or Smaller?
Age 14 to 16 Challenge Level:
When you change the units, do the numbers get bigger or smaller?
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Constantly Changing
Age 14 to 16 Challenge Level:
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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?
Construct the Solar System
Age 14 to 18 Challenge Level:
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Choose Your Units
Age 14 to 16 Challenge Level:
Which units would you choose best to fit these situations?
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?
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Carbon Footprints
Age 14 to 16 Challenge Level:
Is it really greener to go on the bus, or to buy local?
Guessing the Graph
Age 14 to 16 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
How Do You React?
Age 14 to 16 Challenge Level:
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Does This Sound about Right?
Age 11 to 14 Challenge Level:
Examine these estimates. Do they sound about right?
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?
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.
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?
Investigating the Dilution Series
Age 14 to 16 Challenge Level:
Which dilutions can you make using only 10ml pipettes?
Vector Walk
Age 14 to 18 Challenge Level:
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Track Design
Age 14 to 16 Challenge Level:
Where should runners start the 200m race so that they have all run the same distance by the finish?
Speed-time Problems at the Olympics
Age 14 to 16 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
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?
Counting Dolphins
Age 14 to 16 Challenge Level:
How would you go about estimating populations of dolphins?
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?
Big and Small Numbers in Biology
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
Biology Measurement Challenge
Age 14 to 16 Challenge Level:
Analyse these beautiful biological images and attempt to rank them in size order.
Electric Kettle
Age 14 to 16 Challenge Level:
Explore the relationship between resistance and temperature
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?
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?
Fill Me Up
Age 11 to 14 Challenge Level:
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
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?
Alternative Record Book
Age 14 to 18 Challenge Level:
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Olympic Measures
Age 11 to 14 Challenge Level:
These Olympic quantities have been jumbled up! Can you put them back together again?
Elastic Maths
Age 14 to 18
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.
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?
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?
Speedy Sidney
Age 11 to 14 Challenge Level:
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. . . .
NRICH is part of the family of activities in the Millennium Mathematics Project.