text: # Search by Topic
  
  #### Resources tagged with Mathematical modelling similar to Weekly Challenge 37: Magic Bag:
  
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  ### There are 72 results
  
  Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling
  
  ### Fixing the Odds
  
  ##### Stage: 4 Challenge Level:
  
  You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two. . . .
  
  ### Snooker
  
  ##### Stage: 5 Challenge Level:
  
  A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
  
  ### Scratch Cards
  
  ##### Stage: 4 Challenge Level:
  
  To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
  
  ### FA Cup
  
  ##### Stage: 5 Challenge Level:
  
  In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!
  
  ### Investigating Epidemics
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Simple models which help us to investigate how epidemics grow and die out.
  
  ### Time to Evolve 2
  
  ##### Stage: 5 Challenge Level:
  
  How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
  
  ### 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.
  
  ### An Introduction to Computer Programming and Mathematics
  
  ##### Stage: 5
  
  This article explains the concepts involved in scientific mathematical computing. It will be very useful and interesting to anyone interested in computer programming or mathematics.
  
  ### Twenty20
  
  ##### Stage: 2, 3 and 4 Challenge Level:
  
  Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
  
  ### The Wrong Stats
  
  ##### Stage: 5 Challenge Level:
  
  Why MUST these statistical statements probably be at least a little bit wrong?
  
  ### The Mean Game
  
  ##### Stage: 5
  
  Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.
  
  ### Physnrich
  
  ##### Stage: 4 and 5 Challenge Level:
  
  PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
  
  ### Engnrich
  
  ##### Stage: 5 Challenge Level:
  
  engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
  
  ### The Not-so-simple Pendulum 1
  
  ##### Stage: 5 Challenge Level:
  
  See how the motion of the simple pendulum is not-so-simple after all.
  
  ### Big and Small Numbers in Physics - Group Task
  
  ##### Stage: 5 Challenge Level:
  
  Work in groups to try to create the best approximations to these physical quantities.
  
  ### Ramping it Up
  
  ##### Stage: 5 Challenge Level:
  
  Look at the calculus behind the simple act of a car going over a step.
  
  ### Predator - Prey Systems
  
  ##### Stage: 5 Challenge Level:
  
  See how differential equations might be used to make a realistic model of a system containing predators and their prey.
  
  ### Model Solutions
  
  ##### Stage: 5 Challenge Level:
  
  How do these modelling assumption affect the solutions?
  
  ### Advanced Scientific Mathematics
  
  ##### Stage: 5 Challenge Level:
  
  This is the section of stemNRICH devoted to the advanced applied mathematics underlying the study of the sciences at higher levels
  
  ### Rocking Chairs, Railway Games and Rayboxes
  
  ##### Stage: 1, 2, 3, 4 and 5
  
  In this article for teachers, Alan Parr looks at ways that mathematics teaching and learning can start from the useful and interesting things can we do with the subject, including. . . .
  
  ### Chemnrich
  
  ##### Stage: 4 and 5 Challenge Level:
  
  chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .
  
  ### Bionrich
  
  ##### Stage: 4 and 5 Challenge Level:
  
  bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your. . . .
  
  ### Population Dynamics
  
  ##### Stage: 5 Challenge Level:
  
  This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.
  
  ### Population Ecology Using Probability
  
  ##### Stage: 5 Challenge Level:
  
  An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
  
  ### Population Dynamics - Part 6
  
  ##### Stage: 5 Challenge Level:
  
  Sixth in our series of problems on population dynamics for advanced students.
  
  ### Population Dynamics Collection
  
  ##### Stage: 5 Challenge Level:
  
  This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
  
  ### 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?
  
  ### Designing Table Mats
  
  ##### Stage: 3 and 4 Challenge Level:
  
  Formulate and investigate a simple mathematical model for the design of a table mat.
  
  ### Population Dynamics - Part 5
  
  ##### Stage: 5 Challenge Level:
  
  Fifth in our series of problems on population dynamics for advanced students.
  
  ### Population Dynamics - Part 4
  
  ##### Stage: 5 Challenge Level:
  
  Fourth in our series of problems on population dynamics for advanced students.
  
  ### Stringing it Out
  
  ##### Stage: 4 Challenge Level:
  
  Explore the transformations and comment on what you find.
  
  ### Pdf Stories
  
  ##### Stage: 5 Challenge Level:
  
  Invent scenarios which would give rise to these probability density functions.
  
  ### Branching Processes and Extinction
  
  ##### Stage: 5 Challenge Level:
  
  An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
  
  ### Population Dynamics - Part 1
  
  ##### Stage: 5 Challenge Level:
  
  First in our series of problems on population dynamics for advanced students.
  
  ### Population Dynamics - Part 3
  
  ##### Stage: 5 Challenge Level:
  
  Third in our series of problems on population dynamics for advanced students.
  
  ### Population Dynamics - Part 2
  
  ##### Stage: 5 Challenge Level:
  
  Second in our series of problems on population dynamics for advanced students.
  
  ### Stemnrich - the Physical World
  
  ##### Stage: 3 and 4 Challenge Level:
  
  PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
  
  ### 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.
  
  ### Shaping the Universe III - to Infinity and Beyond
  
  ##### Stage: 3 and 4
  
  The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
  
  ### Over-booking
  
  ##### Stage: 5 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?
  
  ### Concrete Calculation
  
  ##### Stage: 4 Challenge Level:
  
  The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to. . . .
  
  ### Logic, Truth Tables and Switching Circuits
  
  ##### 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 record your findings in truth tables.
  
  ### Overarch 2
  
  ##### Stage: 5 Challenge Level:
  
  Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?
  
  ### 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. . . .
  
  ### Chocolate 2010
  
  ##### Stage: 4 Challenge Level:
  
  First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...
  
  ### Escalator
  
  ##### Stage: 4 Challenge Level:
  
  At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. . . .
  
  ### Problem Solving, Using and Applying and Functional Mathematics
  
  ##### Stage: 1, 2, 3, 4 and 5 Challenge Level:
  
  Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
  
  ### Drawing Doodles and Naming Knots
  
  ##### Stage: 2, 3, 4 and 5
  
  This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
  
  ### The Legacy
  
  ##### Stage: 4 Challenge Level:
  
  Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?