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?
How efficiently can you pack together disks?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
When a habitat changes, what happens to the food chain?
How much energy has gone into warming the planet?
Is it really greener to go on the bus, or to buy local?
Which dilutions can you make using only 10ml pipettes?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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. . . .
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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?
Formulate and investigate a simple mathematical model for the design of a table mat.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
What shape would fit your pens and pencils best? How can you make it?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Have you ever wondered what it would be like to race against Usain Bolt?
Get some practice using big and small numbers in chemistry.
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 isometric drawings.
A problem about genetics and the transmission of disease.
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.
Work out the numerical values for these physical quantities.
Explore the properties of perspective drawing.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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?
Are these estimates of physical quantities accurate?
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?
Analyse these beautiful biological images and attempt to rank them in size order.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Explore the relationship between resistance and temperature
This problem explores the biology behind Rudolph's glowing red nose.
Simple models which help us to investigate how epidemics grow and die out.
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 draw the height-time chart as this complicated vessel fills with water?
Which countries have the most naturally athletic populations?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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?
Which units would you choose best to fit these situations?
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. . . .
How would you go about estimating populations of dolphins?
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?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?