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Broad Topics > Applications > Maths Supporting SET

Logic, Truth Tables and Switching Circuits Challenge

Stage: 3, 4 and 5

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. . . .

Investigating Epidemics

Stage: 3 and 4 Challenge Level:

Simple models which help us to investigate how epidemics grow and die out.

Global Warming

Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

Elastic Maths

Stage: 4 and 5

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.

Guessing the Graph

Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Far Horizon

Stage: 4 Challenge Level:

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Designing Table Mats

Stage: 3 and 4 Challenge Level:

Formulate and investigate a simple mathematical model for the design of a table mat.

Approximately Certain

Stage: 4 and 5 Challenge Level:

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

A Question of Scale

Stage: 4 Challenge Level:

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?

Big and Small Numbers in Physics

Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

Big and Small Numbers in the Living World

Stage: 3 and 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Epidemic Modelling

Stage: 4 and 5 Challenge Level:

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.

Big and Small Numbers in Chemistry

Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

Genetics

Stage: 4 Challenge Level:

A problem about genetics and the transmission of disease.

Efficient Packing

Stage: 4 Challenge Level:

How efficiently can you pack together disks?

Constantly Changing

Stage: 4 Challenge Level:

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Truth Tables and Electronic Circuits

Stage: 3, 4 and 5

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

Bigger or Smaller?

Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

Gym Bag

Stage: 3 and 4 Challenge Level:

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

Big and Small Numbers in the Physical World

Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

Fill Me Up

Stage: 3 Challenge Level:

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Robot Camera

Stage: 4 Challenge Level:

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

How Do You React?

Stage: 4 Challenge Level:

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

What's That Graph?

Stage: 4 Challenge Level:

Can you work out which processes are represented by the graphs?

Maths Filler

Stage: 4 Challenge Level:

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Investigating the Dilution Series

Stage: 4 Challenge Level:

Which dilutions can you make using only 10ml pipettes?

Perspective Drawing

Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

Vector Walk

Stage: 4 and 5 Challenge Level:

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Mystery Procedure

Stage: 4 Challenge Level:

Can you work out what this procedure is doing?

Fill Me up Too

Stage: 4 Challenge Level:

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?

Construct the Solar System

Stage: 4 and 5 Challenge Level:

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Perfect Eclipse

Stage: 4 Challenge Level:

Use trigonometry to determine whether solar eclipses on earth can be perfect.

Nutrition and Cycling

Stage: 3 and 4 Challenge Level:

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

Counting Dolphins

Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

Big and Small Numbers in Biology

Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

Biology Measurement Challenge

Stage: 4 Challenge Level:

Analyse these beautiful biological images and attempt to rank them in size order.

Electric Kettle

Stage: 4 Challenge Level:

Explore the relationship between resistance and temperature

Weekly Challenge 48: Quorum-sensing

Stage: 4 Short Challenge Level:

This problem explores the biology behind Rudolph's glowing red nose.

Maths Filler 2

Stage: 4 Challenge Level:

Can you draw the height-time chart as this complicated vessel fills with water?

More or Less?

Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

Carbon Footprints

Stage: 4 Challenge Level:

Is it really greener to go on the bus, or to buy local?

Back Fitter

Stage: 4 Challenge Level:

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?

Immersion

Stage: 4 Challenge Level:

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Who's the Best?

Stage: 3 and 4 Challenge Level:

Which countries have the most naturally athletic populations?

Stage: 4 and 5 Challenge Level:

How would you design the tiering of seats in a stadium so that all spectators have a good view?

Witch's Hat

Stage: 3 and 4 Challenge Level:

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Stage: 3 Challenge Level:

Examine these estimates. Do they sound about right?

Speedy Sidney

Stage: 3 Challenge Level:

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. . . .

Food Chains

Stage: 3 Challenge Level:

When a habitat changes, what happens to the food chain?