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Maths Supporting SET. STEM - General. Probability. Probability distributions, expectation and variance. Measures of spread. Random variables. Biology. Averages. Estimation of areas under curves. Probability density functions.There are 89 results
Broad Topics > Applications > Maths Supporting SET
Aim High
Age 16 to 18 Challenge Level:
How do you choose your planting levels to minimise the total loss at harvest time?
Stats Statements
Age 16 to 18 Challenge Level:
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Pdf Stories
Age 16 to 18 Challenge Level:
Invent scenarios which would give rise to these probability density functions.
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.
Time to Evolve 2
Age 16 to 18 Challenge Level:
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Brimful 2
Age 16 to 18 Challenge Level:
Which of these infinitely deep vessels will eventually full up?
Crystal Symmetry
Age 16 to 18 Challenge Level:
Use vectors and matrices to explore the symmetries of crystals.
Transformations for 10
Age 16 to 18 Challenge Level:
Explore the properties of matrix transformations with these 10 stimulating questions.
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?
The Wrong Stats
Age 16 to 18 Challenge Level:
Why MUST these statistical statements probably be at least a little bit wrong?
Over-booking
Age 16 to 18 Challenge Level:
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?
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.
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.
Operating Machines
Age 16 to 18 Challenge Level:
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Investigating the Dilution Series
Age 14 to 16 Challenge Level:
Which dilutions can you make using only 10ml pipettes?
Big and Small Numbers in Physics
Age 14 to 16 Challenge Level:
Work out the numerical values for these physical quantities.
Approximately Certain
Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Back Fitter
Age 14 to 16 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?
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
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.
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.
Elastic Maths
Age 14 to 18
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.
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?
Perfect Eclipse
Age 14 to 16 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Scientific Curves
Age 16 to 18 Challenge Level:
Can you sketch these difficult curves, which have uses in mathematical modelling?
Stadium Sightline
Age 14 to 18 Challenge Level:
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Square Pair
Age 16 to 18 Challenge Level:
Explore the shape of a square after it is transformed by the action of a matrix.
Investigating Epidemics
Age 11 to 16 Challenge Level:
Simple models which help us to investigate how epidemics grow and die out.
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?
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.
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
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.
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
Big and Small Numbers in Chemistry
Age 14 to 16 Challenge Level:
Get some practice using big and small numbers in chemistry.
Whose Line Graph Is it Anyway?
Age 16 to 18 Challenge Level:
Which line graph, equations and physical processes go together?
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?
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.
Differential Equation Matcher
Age 16 to 18 Challenge Level:
Match the descriptions of physical processes to these differential equations.
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.
Reaction Rates
Age 16 to 18 Challenge Level:
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
NRICH is part of the family of activities in the Millennium Mathematics Project.