Resources tagged with Mathematical modelling similar to Hiking the Hill:
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Generalising. Mathematical modelling. Time. Real world. Fractions. Calculating with fractions. Maths Supporting SET. Mathematical reasoning & proof. STEM - physical world. Visualising.There are 62 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling
Hands Together
Stage: 3 Challenge Level: 
Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?
Friday 13th
Stage: 3 Challenge Level:
Can you explain why every year must contain at least one Friday the thirteenth?
Christmas Trees
Stage: 3 Challenge Level:
Christmas trees are planted in a rectangular array. Which is the taller tree, A or B?
Circuit Training
Stage: 4 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. . . .
Celtic Knotwork Patterns
Stage: 2 and 3
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Crossing the Atlantic
Stage: 3 Challenge Level:
Every day at noon a boat leaves Le Havre for New York while another boat leaves New York for Le Havre. The ocean crossing takes seven days. How many boats will each boat cross during their journey?
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...
Buses
Stage: 3 Challenge Level:
A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?
Plaiting and Braiding
Stage: 2 and 3
This article for students gives some instructions about how to make some different braids.
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.
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
In Constantly Passing
Stage: 4 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. . . .
Master Minding
Stage: 3 Challenge Level:
Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
Bell Ringing
Stage: 3 Challenge Level:
Suppose you are a bellringer. Can you find the changes so that, starting and ending with a round, all the 24 possible permutations are rung once each and only once?
Tree Tops
Stage: 3 Challenge Level:
A manager of a forestry company has to decide which trees to plant. What strategy for planting and felling would you recommend to the manager in order to maximise the profit?
Lap Times
Stage: 4 Challenge Level:
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
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?
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. . . .
Konigsberg Plus
Stage: 3 Challenge Level:
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Triathlon and Fitness
Stage: 3 Challenge Level:
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Truth Tables and Electronic Circuits
Stage: 3, 4 and 5
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Observing the Sun and the Moon
Stage: 2 and 3 Challenge Level:
How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
Shaping the Universe II - the Solar System
Stage: 3 and 4
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
Shaping the Universe I - Planet Earth
Stage: 3 and 4
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.
Königsberg
Stage: 3 Challenge Level:
Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?
Pattern of Islands
Stage: 3 Challenge Level:
In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...
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!
On Time
Stage: 3 Challenge Level:
On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
What's a Knot?
Stage: 2, 3 and 4 Challenge Level:
A brief video explaining the idea of a mathematical knot.
Learning Mathematics Through Games Series: 4. from Strategy Games
Stage: 1, 2 and 3
Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .
Quick Times
Stage: 3 Challenge Level:
32 x 38 = 30 x 40 + 2 x 8; 34 x 36 = 30 x 40 + 4 x 6; 56 x 54 = 50 x 60 + 6 x 4; 73 x 77 = 70 x 80 + 3 x 7 Verify and generalise if possible.
Rule of Three
Stage: 3 Challenge Level:
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
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. . . .
The Lady or the Lions
Stage: 3 Challenge Level:
The King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .
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.
Flight of the Flibbins
Stage: 3 Challenge Level:
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to. . . .
Football Crazy Hockey Mad
Stage: 3 Challenge Level:
In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.
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. . . .
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. . . .
Physnrich
Stage: 4 and 5 Challenge Level:
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Straw Scaffold
Stage: 3 Challenge Level:
Build a scaffold out of drinking-straws to support a cup of water
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 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?
Designing Table Mats
Stage: 3 and 4 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
Investigating Epidemics
Stage: 3 and 4 Challenge Level:
Simple models which help us to investigate how epidemics grow and die out.
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.
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. . . .
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.