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#### Resources tagged with Mathematical modelling similar to Power Match:

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### There are 69 results

Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling ### Population Dynamics - Part 6

##### Age 16 to 18 Challenge Level:

Sixth in our series of problems on population dynamics for advanced students. ### Population Dynamics - Part 3

##### Age 16 to 18 Challenge Level:

Third in our series of problems on population dynamics for advanced students. ### Population Dynamics

##### Age 16 to 18 Challenge Level:

This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students. ### Cushion Ball

##### Age 16 to 18 Challenge Level:

The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls? ### Stonehenge

##### Age 16 to 18 Challenge Level:

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself. ### Problem Solving, Using and Applying and Functional Mathematics

##### Age 5 to 18 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. ### Population Dynamics - Part 1

##### Age 16 to 18 Challenge Level:

First in our series of problems on population dynamics for advanced students. ### Population Ecology Using Probability

##### Age 16 to 18 Challenge Level:

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students. ### Population Dynamics - Part 2

##### Age 16 to 18 Challenge Level:

Second in our series of problems on population dynamics for advanced students. ### Population Dynamics - Part 5

##### Age 16 to 18 Challenge Level:

Fifth in our series of problems on population dynamics for advanced students. ### Population Dynamics - Part 4

##### Age 16 to 18 Challenge Level:

Fourth in our series of problems on population dynamics for advanced students. ### Truth Tables and Electronic Circuits

##### Age 11 to 18

Investigate circuits and record your findings in this simple introduction to truth tables and logic. ### Stemnrich - the Physical World

##### Age 11 to 16 Challenge Level:

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics ### Chemnrich

##### Age 14 to 18 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. . . . ### Modelling Assumptions in Mechanics

##### Age 16 to 18

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile. ### Shaping the Universe II - the Solar System

##### Age 11 to 16

The second in a series of articles on visualising and modelling shapes in the history of astronomy. ### The Not-so-simple Pendulum 1

##### Age 16 to 18 Challenge Level:

See how the motion of the simple pendulum is not-so-simple after all. ### Circuit Training

##### Age 14 to 16 Challenge Level:

Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever. . . . ### Big and Small Numbers in Physics - Group Task

##### Age 16 to 18 Challenge Level:

Work in groups to try to create the best approximations to these physical quantities. ### Engnrich

##### Age 16 to 18 Challenge Level:

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering ### Spot the Card

##### Age 14 to 16 Challenge Level:

It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards? ### Shaping the Universe I - Planet Earth

##### Age 11 to 16

This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy. ### Chocolate 2010

##### Age 14 to 16 Challenge Level:

First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2... ### Bird-brained

##### Age 16 to 18 Challenge Level:

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation. ### Ramping it Up

##### Age 16 to 18 Challenge Level:

Look at the calculus behind the simple act of a car going over a step. ### Lap Times

##### Age 14 to 16 Challenge Level:

Can you find the lap times of the two cyclists travelling at constant speeds? ### Predator - Prey Systems

##### Age 16 to 18 Challenge Level:

See how differential equations might be used to make a realistic model of a system containing predators and their prey. ### Branching Processes and Extinction

##### Age 16 to 18 Challenge Level:

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students. ### Bionrich

##### Age 14 to 18 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 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. ### 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? ### Ball Bearings

##### Age 16 to 18 Challenge Level:

If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n. ### Designing Table Mats

##### Age 11 to 16 Challenge Level:

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

##### Age 14 to 18 Challenge Level:

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics ### An Introduction to Computer Programming and Mathematics

##### Age 16 to 18

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. ### In Constantly Passing

##### Age 14 to 16 Challenge Level:

A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . . ### Rocking Chairs, Railway Games and Rayboxes

##### Age 5 to 18

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. . . . ### Twenty20

##### Age 7 to 16 Challenge Level:

Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows. ### Investigating Epidemics

##### Age 11 to 16 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Invent scenarios which would give rise to these probability density functions. ### 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. ##### Age 16 to 18 Challenge Level:

This is the section of stemNRICH devoted to the advanced applied mathematics underlying the study of the sciences at higher levels ### The Mean Game

##### Age 16 to 18

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. ### Drawing Doodles and Naming Knots

##### Age 7 to 18

This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy! ### What's a Knot?

##### Age 7 to 16 Challenge Level:

A brief video explaining the idea of a mathematical knot. ### Snooker

##### Age 16 to 18 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? ### Fixing the Odds

##### Age 14 to 16 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. . . . ### Escalator

##### Age 14 to 16 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. . . . ### 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? ### Concrete Calculation

##### Age 14 to 16 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. . . .