Other tags that relate to Calculus Countdown
Generalising. Biology. Creating and manipulating expressions and formulae. Maths Supporting SET. Integration. Differentiation. Mathematical modelling. Graph sketching. Mathematical reasoning & proof. Calculus generally.There are 67 results
Broad Topics > Thinking Mathematically > Mathematical modelling
Spinners
Age 16 to 18
Challenge Level
How do scores on dice and factors of polynomials relate to each other?
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.
Population Dynamics - Part 5
Age 16 to 18
Challenge Level
Fifth in our series of problems on population dynamics for advanced students.
Pdf Stories
Age 16 to 18
Challenge Level
Invent scenarios which would give rise to these probability density functions.
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
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 3
Age 16 to 18
Challenge Level
Third 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.
Population Dynamics - Part 1
Age 16 to 18
Challenge Level
First in our series of problems on population dynamics for advanced students.
Population Dynamics - Part 6
Age 16 to 18
Challenge Level
Sixth 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 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.
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.
Ramping it Up
Age 16 to 18
Challenge Level
Look at the calculus behind the simple act of a car going over a step.
Advanced Scientific 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
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.
The Wrong Stats
Age 16 to 18
Challenge Level
Why MUST these statistical statements probably be at least a little bit wrong?
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. . . .
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.
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.
Where to Land
Age 14 to 16
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?
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!
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. . . .
Bus Stop
Age 14 to 16
Challenge Level
Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .
FA Cup
Age 16 to 18
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!
Maximum Flow
Age 16 to 18
Challenge Level
Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.
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?
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.
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.
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. . . .
Lap Times
Age 14 to 16
Challenge Level
Can you find the lap times of the two cyclists travelling at constant speeds?
Impuzzable
Age 16 to 18
This is about a fiendishly difficult jigsaw and how to solve it using a computer program.
The Use of Mathematics in Computer Games
Age 16 to 18
An account of how mathematics is used in computer games including geometry, vectors, transformations, 3D graphics, graph theory and simulations.
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.
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...
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?
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.
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.
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?
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
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. . . .
Physnrich
Age 14 to 18
Challenge Level
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
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. . . .
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.
The Legacy
Age 14 to 16
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?
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. . . .
Slippage
Age 14 to 16
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. . . .
NRICH is part of the family of activities in the Millennium Mathematics Project.