How efficiently can you pack together disks?
Analyse these beautiful biological images and attempt to rank them in size order.
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. . . .
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
A problem about genetics and the transmission of disease.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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.
Explore the properties of perspective drawing.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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.
What shape would fit your pens and pencils best? How can you make it?
Simple models which help us to investigate how epidemics grow and die out.
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?
How much energy has gone into warming the planet?
Formulate and investigate a simple mathematical model for the design of a table mat.
Is it really greener to go on the bus, or to buy local?
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
This problem explores the biology behind Rudolph's glowing red nose.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
How would you go about estimating populations of dolphins?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Can you draw the height-time chart as this complicated vessel fills with water?
Can you deduce which Olympic athletics events are represented by the graphs?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Does weight confer an advantage to shot putters?
When you change the units, do the numbers get bigger or smaller?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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?
Explore the properties of isometric drawings.
Which countries have the most naturally athletic populations?
Which dilutions can you make using only 10ml pipettes?
Explore the relationship between resistance and temperature
Work out the numerical values for these physical quantities.
Which units would you choose best to fit these situations?
Can you work out which processes are represented by the graphs?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Have you ever wondered what it would be like to race against Usain Bolt?