Other tags that relate to Quorum-sensing
STEM - living world. Investigations. Mathematical modelling. Iteration. Maths Supporting SET. Physics. Biology. Vectors. Chemistry. Exponential and Logarithmic Functions.There are 90 results
Broad Topics > Cross-curricular Connections > Maths Supporting SET
Quorum-sensing
Age 16 to 18 Short Challenge Level:
This problem explores the biology behind Rudolph's glowing red nose.
Stirling Work
Age 16 to 18 Challenge Level:
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Fix Me or Crush Me
Age 16 to 18 Challenge Level:
Can you make matrices which will fix one lucky vector and crush another to zero?
Big and Small Numbers in the Physical World
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Bigger or Smaller?
Age 14 to 16 Challenge Level:
When you change the units, do the numbers get bigger or smaller?
Real-life Equations
Age 16 to 18 Challenge Level:
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Reaction Rates
Age 16 to 18 Challenge Level:
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Constantly Changing
Age 14 to 16 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.
Choose Your Units
Age 14 to 16 Challenge Level:
Which units would you choose best to fit these situations?
Transformations for 10
Age 16 to 18 Challenge Level:
Explore the properties of matrix transformations with these 10 stimulating questions.
Big and Small Numbers in the Living World
Age 11 to 16 Challenge Level:
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
What Do Functions Do for Tiny X?
Age 16 to 18 Challenge Level:
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Dangerous Driver?
Age 16 to 18 Challenge Level:
Was it possible that this dangerous driving penalty was issued in error?
Bessel's Equation
Age 16 to 18 Challenge Level:
Get further into power series using the fascinating Bessel's equation.
Matrix Meaning
Age 16 to 18 Challenge Level:
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
A Question of Scale
Age 14 to 16 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?
Counting Dolphins
Age 14 to 16 Challenge Level:
How would you go about estimating populations of dolphins?
Polygon Walk
Age 16 to 18 Challenge Level:
Go on a vector walk and determine which points on the walk are closest to the origin.
Brimful 2
Age 16 to 18 Challenge Level:
Which of these infinitely deep vessels will eventually full up?
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
Square Pair
Age 16 to 18 Challenge Level:
Explore the shape of a square after it is transformed by the action of a matrix.
Stats Statements
Age 16 to 18 Challenge Level:
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Big and Small Numbers in Biology
Age 14 to 16 Challenge Level:
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Taking Trigonometry Series-ly
Age 16 to 18 Challenge Level:
Look at the advanced way of viewing sin and cos through their power series.
Scale Invariance
Age 16 to 18 Challenge Level:
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Population Dynamics Collection
Age 16 to 18 Challenge Level:
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Root Hunter
Age 16 to 18 Challenge Level:
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Building Approximations for Sin(x)
Age 16 to 18 Challenge Level:
Build up the concept of the Taylor series
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Vector Walk
Age 14 to 18 Challenge Level:
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Guessing the Graph
Age 14 to 16 Challenge Level:
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Biology Measurement Challenge
Age 14 to 16 Challenge Level:
Analyse these beautiful biological images and attempt to rank them in size order.
Crystal Symmetry
Age 16 to 18 Challenge Level:
Use vectors and matrices to explore the symmetries of crystals.
Cross with the Scalar Product
Age 16 to 18 Challenge Level:
Explore the meaning of the scalar and vector cross products and see how the two are related.
Speed-time Problems at the Olympics
Age 14 to 16 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Perfect Eclipse
Age 14 to 16 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Robot Camera
Age 14 to 16 Challenge Level:
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
How Do You React?
Age 14 to 16 Challenge Level:
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Construct the Solar System
Age 14 to 18 Challenge Level:
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Alternative Record Book
Age 14 to 18 Challenge Level:
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
NRICH is part of the family of activities in the Millennium Mathematics Project.