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Can you spot circles, spirals and other types of curves in these photos?
Can you place these quantities in order from smallest to largest?
Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Mathematics has always been a powerful tool for studying, measuring and calculating the movements of the planets, and this article gives several examples.
This article for students gives some instructions about how to make some different braids.
Mathematics has allowed us now to measure lots of things about eclipses and so calculate exactly when they will happen, where they can be seen from, and what they will look like.
What shape and size of drinks mat is best for flipping and catching?
Investigate how avalanches occur and how they can be controlled
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
Learn about Pen Up and Pen Down in Logo
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
More Logo for beginners. Now learn more about the REPEAT command.
A Short introduction to using Logo. This is the first in a twelve part series.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
What shape would fit your pens and pencils best? How can you make it?
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Make your own pinhole camera for safe observation of the sun, and find out how it works.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
Simple models which help us to investigate how epidemics grow and die out.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
Formulate and investigate a simple mathematical model for the design of a table mat.
Write a Logo program, putting in variables, and see the effect when you change the variables.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Learn to write procedures and build them into Logo programs. Learn to use variables.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
What happens when a procedure calls itself?
Turn through bigger angles and draw stars with Logo.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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?
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?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
How would you go about estimating populations of dolphins?
Get some practice using big and small numbers in chemistry.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Work out the numerical values for these physical quantities.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Explore the relationship between resistance and temperature
Which units would you choose best to fit these situations?
Is it really greener to go on the bus, or to buy local?
Which dilutions can you make using only 10ml pipettes?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Analyse these beautiful biological images and attempt to rank them in size order.
Where do people fly to from London? What is good and bad about these representations?
Can you work out which processes are represented by the graphs?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
There has been a murder on the Stevenson estate. Use your analytical chemistry skills to assess the crime scene and identify the cause of death...
At what angle should you release the shot to break Olympic records?
STEM students at university often encounter mathematical difficulties. This articles highlights the various content problems and the 7 key process problems encountered by STEM students.
10 intriguing starters related to the mechanics of sport.
This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.
See how little g and your weight varies around the world. Did this variation help Bob Beamon to long-jumping succes in 1968?