If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
How efficiently can you pack together disks?
Examine these estimates. Do they sound about right?
Can you draw the height-time chart as this complicated vessel fills with water?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Explore the properties of perspective drawing.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
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.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Where should runners start the 200m race so that they have all run the same distance by the finish?
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?
A problem about genetics and the transmission of disease.
Formulate and investigate a simple mathematical model for the design of a table mat.
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?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Get some practice using big and small numbers in chemistry.
Can you work out what this procedure is doing?
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.
Can you work out which processes are represented by the graphs?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
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?
Can you work out which drink has the stronger flavour?
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. . . .
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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 isometric drawings.
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?
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.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Which dilutions can you make using only 10ml pipettes?
Simple models which help us to investigate how epidemics grow and die out.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
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?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Are these estimates of physical quantities accurate?
Can you deduce which Olympic athletics events are represented by the graphs?
Explore the relationship between resistance and temperature
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
This problem explores the biology behind Rudolph's glowing red nose.
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?