Other tags that relate to Mystic Rose
Mathematical modelling. Games. Generalising. Visualising. Making and proving conjectures. Triangle numbers. Real world. Animations. Working systematically. Mathematical reasoning & proof.There are 57 results
Broad Topics > Using, Applying and Reasoning about Mathematics > 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.
Learning Mathematics Through Games Series: 4. from Strategy Games
Age 5 to 14
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. . . .
Konigsberg Plus
Age 11 to 14 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.
On Time
Age 11 to 14 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?
Quick Times
Age 11 to 14 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.
Crossing the Atlantic
Age 11 to 14 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?
Flight of the Flibbins
Age 11 to 14 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. . . .
Pattern of Islands
Age 11 to 14 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...
Königsberg
Age 11 to 14 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?
Buses
Age 11 to 14 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?
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?
Football Crazy Hockey Mad
Age 11 to 14 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.
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...
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. . . .
Christmas Trees
Age 11 to 14 Challenge Level:
Christmas trees are planted in a rectangular array. Which is the taller tree, A or B?
Bell Ringing
Age 11 to 14 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?
Hands Together
Age 11 to 14 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?
Celtic Knotwork Patterns
Age 7 to 14
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Rule of Three
Age 11 to 14 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?
Friday 13th
Age 11 to 14 Challenge Level:
Can you explain why every year must contain at least one Friday the thirteenth?
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. . . .
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.
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.
Truth Tables and Electronic Circuits
Age 11 to 18
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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?
Straw Scaffold
Age 11 to 14 Challenge Level:
Build a scaffold out of drinking-straws to support a cup of water
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.
Troublesome Triangles
Age 7 to 14 Challenge Level:
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .
Master Minding
Age 11 to 14 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?
Plaiting and Braiding
Age 7 to 14
This article for students gives some instructions about how to make some different braids.
Physnrich
Age 14 to 18 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
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. . . .
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. . . .
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.
Observing the Sun and the Moon
Age 7 to 14 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.
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. . . .
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?
Investigating Epidemics
Age 11 to 16 Challenge Level:
Simple models which help us to investigate how epidemics grow and die out.
Designing Table Mats
Age 11 to 16 Challenge Level:
Formulate and investigate a simple mathematical model for the design of a table mat.
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
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. . . .
Stringing it Out
Age 14 to 16 Challenge Level:
Explore the transformations and comment on what you find.
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?
Lap Times
Age 14 to 16 Challenge Level:
Can you find the lap times of the two cyclists travelling at constant speeds?
Scratch Cards
Age 14 to 16 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?
Shaping the Universe III - to Infinity and Beyond
Age 11 to 16
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
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. . . .
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. . . .
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. . . .
NRICH is part of the family of activities in the Millennium Mathematics Project.