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How efficiently can you pack together disks?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
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?
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.
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Is it really greener to go on the bus, or to buy local?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Simple models which help us to investigate how epidemics grow and die out.
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.
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 shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
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 with water?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Can you deduce which Olympic athletics events are represented by the graphs?
Which units would you choose best to fit these situations?
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?
Explore the properties of perspective drawing.
Where should runners start the 200m race so that they have all run the same distance by the finish?
Explore the relationship between resistance and temperature
Can you work out what this procedure is doing?
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?
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?
Which dilutions can you make using only 10ml pipettes?
Explore the properties of isometric drawings.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
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?
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?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
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?
A problem about genetics and the transmission of disease.
Does weight confer an advantage to shot putters?
How much energy has gone into warming the planet?
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?
How would you go about estimating populations of dolphins?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
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. . . .
Examine these estimates. Do they sound about right?