How efficiently can you pack together disks?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Analyse these beautiful biological images and attempt to rank them in size order.
Formulate and investigate a simple mathematical model for the design of a table mat.
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?
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?
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?
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.
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. . . .
What shape would fit your pens and pencils best? How can you make it?
Can you draw the height-time chart as this complicated vessel fills
Simple models which help us to investigate how epidemics grow and die out.
Is it really greener to go on the bus, or to buy local?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
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?
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Can you work out which processes are represented by the graphs?
Which units would you choose best to fit these situations?
Get some practice using big and small numbers in chemistry.
Can you work out what this procedure is doing?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Are these estimates of physical quantities accurate?
This problem explores the biology behind Rudolph's glowing red nose.
Explore the relationship between resistance and temperature
Which dilutions can you make using only 10ml pipettes?
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?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Can you deduce which Olympic athletics events are represented by the graphs?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Explore the properties of isometric drawings.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
How much energy has gone into warming the planet?
Work out the numerical values for these physical quantities.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Which countries have the most naturally athletic populations?
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. . . .
Does weight confer an advantage to shot putters?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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?