The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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. . . .
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Have you ever wondered what it would be like to race against Usain Bolt?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
What shape would fit your pens and pencils best? How can you make it?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Is it really greener to go on the bus, or to buy local?
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?
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?
These Olympic quantities have been jumbled up! Can you put them back together again?
Which units would you choose best to fit these situations?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How efficiently can you pack together disks?
Simple models which help us to investigate how epidemics grow and die out.
Is there a temperature at which Celsius and Fahrenheit readings are the same?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
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.
Can you deduce which Olympic athletics events are represented by the graphs?
Which dilutions can you make using only 10ml pipettes?
Explore the properties of isometric drawings.
How much energy has gone into warming the planet?
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.
Explore the relationship between resistance and temperature
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Formulate and investigate a simple mathematical model for the design of a table mat.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Can you work out which processes are represented by the graphs?
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?
Explore the properties of perspective drawing.
When a habitat changes, what happens to the food chain?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Analyse these beautiful biological images and attempt to rank them in size order.
Can you work out which drink has the stronger flavour?
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Use your skill and judgement to match the sets of random data.
Can you work out what this procedure is doing?
How would you go about estimating populations of dolphins?
Invent a scoring system for a 'guess the weight' competition.
Can you draw the height-time chart as this complicated vessel fills with water?
Which countries have the most naturally athletic populations?
Various solids are lowered into a beaker of water. How does the water level rise in each case?