# Search by Topic

#### Resources tagged with Mathematical modelling similar to Spherical Triangles on Very Big Spheres:

Filter by: Content type:
Stage:
Challenge level:

### There are 72 results

Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling

### 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.

### Slippage

##### Stage: 4 Challenge Level:

A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .

### Dam Busters 1

##### Stage: 5 Challenge Level:

At what positions and speeds can the bomb be dropped to destroy the dam?

### 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?

### Ramping it Up

##### Stage: 5 Challenge Level:

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

### Pdf Stories

##### Stage: 5 Challenge Level:

Invent scenarios which would give rise to these probability density functions.

### Where to Land

##### Stage: 4 Challenge Level:

Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?

### The Wrong Stats

##### Stage: 5 Challenge Level:

Why MUST these statistical statements probably be at least a little bit wrong?

### 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?

### Designing Table Mats

##### Stage: 3 and 4 Challenge Level:

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

### Ball Bearings

##### Stage: 5 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.

### 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.

### Model Solutions

##### Stage: 5 Challenge Level:

How do these modelling assumption affect the solutions?

### Engnrich

##### Stage: 5 Challenge Level:

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

### Physnrich

##### Stage: 4 and 5 Challenge Level:

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

### 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. . . .

### Modelling Assumptions in Mechanics

##### Stage: 5

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

### Stringing it Out

##### Stage: 4 Challenge Level:

Explore the transformations and comment on what you find.

### 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.

##### 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

### 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.

### 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.

### Population Dynamics - Part 6

##### Stage: 5 Challenge Level:

Sixth in our series of problems on 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.

### Investigating Epidemics

##### Stage: 3 and 4 Challenge Level:

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

### 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?

### 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

### 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. . . .

### 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.

### Population Dynamics

##### Stage: 5 Challenge Level:

This problem opens a major sequence of activities on the mathematics of 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.

### Branching Processes and Extinction

##### Stage: 5 Challenge Level:

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

### The Not-so-simple Pendulum 1

##### Stage: 5 Challenge Level:

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

### 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.

### 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.

### 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?

### 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...

### Spinners

##### Stage: 5 Challenge Level:

How do scores on dice and factors of polynomials relate to each other?

### 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. . . .

### 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.

### 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. . . .

### Cushion Ball

##### Stage: 5 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?

### 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?

### 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. . . .

### 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. . . .

### 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?