How efficiently can you pack together disks?
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. . . .
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. . . .
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Have you ever wondered what it would be like to race against Usain Bolt?
Can you sketch graphs to show how the height of water changes in
different containers as they are filled?
Can you work out which drink has the stronger flavour?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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.
Which dilutions can you make using only 10ml pipettes?
Simple models which help us to investigate how epidemics grow and die out.
Explore the properties of perspective drawing.
Formulate and investigate a simple mathematical model for the design of a table mat.
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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.
Is it really greener to go on the bus, or to buy local?
This problem explores the biology behind Rudolph's glowing red nose.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
How would you go about estimating populations of dolphins?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Can you deduce which Olympic athletics events are represented by the graphs?
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?
Can you work out which processes are represented by the graphs?
Get some practice using big and small numbers in chemistry.
Can you work out what this procedure is doing?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the properties of isometric drawings.
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
Explore the relationship between resistance and temperature
Analyse these beautiful biological images and attempt to rank them in size order.
Are these estimates of physical quantities accurate?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
What shape would fit your pens and pencils best? How can you make it?
When you change the units, do the numbers get bigger or smaller?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
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?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
How much energy has gone into warming the planet?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Does weight confer an advantage to shot putters?
Can you draw the height-time chart as this complicated vessel fills
Which countries have the most naturally athletic populations?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.