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STEM - design technology. Converting between units. STEM - physical world. Real world. Maths Supporting SET. Technology. Investigations. Selecting and using information. chemistry. Measures - generally.There are 68 results
Broad Topics > Applications > Maths Supporting SET
Does This Sound about Right?
Stage: 3 Challenge Level: 
Examine these estimates. Do they sound about right?
Fill Me Up
Stage: 3 Challenge Level:
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Designing Table Mats
Stage: 3 and 4 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Pinhole Camera
Stage: 3 Challenge Level:
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Robot Camera
Stage: 4 Challenge Level:
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Track Design
Stage: 4 Challenge Level:
Where should runners start the 200m race so that they have all run the same distance by the finish?
Make Your Own Pencil Case
Stage: 3 Challenge Level:
What shape would fit your pens and pencils best? How can you make it?
Constantly Changing
Stage: 4 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.
Big and Small Numbers in Chemistry
Stage: 4 Challenge Level:
Get some practice using big and small numbers in chemistry.
Guessing the Graph
Stage: 4 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Big and Small Numbers in Physics
Stage: 4 Challenge Level:
Work out the numerical values for these physical quantities.
Chocolate Cake
Stage: 3 Challenge Level:
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Scientific Measurement
Stage: 4 Challenge Level:
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Speedy Sidney
Stage: 3 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. . . .
Electric Kettle
Stage: 4 Challenge Level:
Explore the relationship between resistance and temperature
Big and Small Numbers in the Living World
Stage: 3 and 4 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Toad in the Hole
Stage: 3 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?
Olympic Records
Stage: 3 Challenge Level:
Can you deduce which Olympic athletics events are represented by the graphs?
Choose Your Units
Stage: 4 Challenge Level:
Which units would you choose best to fit these situations?
Construct the Solar System
Stage: 4 and 5 Challenge Level:
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Nutrition and Cycling
Stage: 4 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?
Big and Small Numbers in the Physical World
Stage: 4 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Bigger or Smaller?
Stage: 4 Challenge Level:
When you change the units, do the numbers get bigger or smaller?
How Do You React?
Stage: 4 Challenge Level:
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Stadium Sightline
Stage: 4 and 5 Challenge Level:
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Investigating the Dilution Series
Stage: 4 Challenge Level:
Which dilutions can you make using only 10ml pipettes?
Fill Me up Too
Stage: 4 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?
Alternative Record Book
Stage: 4 and 5 Challenge Level:
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Epidemic Modelling
Stage: 4 and 5 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.
Perfect Eclipse
Stage: 4 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
How Would You Score It?
Stage: 3 Challenge Level:
Invent a scoring system for a 'guess the weight' competition.
Maths Filler 2
Stage: 4 Challenge Level:
Can you draw the height-time chart as this complicated vessel fills with water?
A Question of Scale
Stage: 4 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?
Big and Small Numbers in Biology
Stage: 4 Challenge Level:
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Counting Dolphins
Stage: 4 Challenge Level:
How would you go about estimating populations of dolphins?
Biology Measurement Challenge
Stage: 4 Challenge Level:
Analyse these beautiful biological images and attempt to rank them in size order.
Far Horizon
Stage: 4 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?
Weekly Challenge 48: Quorum-sensing
Stage: 4 Short Challenge Level:
This problem explores the biology behind Rudolph's glowing red nose.
Vector Walk
Stage: 4 and 5 Challenge Level:
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Approximately Certain
Stage: 4 and 5 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Speed-time Problems at the Olympics
Stage: 4 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
Maths Filler
Stage: 3 Challenge Level:
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
NRICH is part of the family of activities in the Millennium Mathematics Project.