Other tags that relate to Magic Caterpillars
Creating and manipulating expressions and formulae. Visualising. Algorithms. Mathematical reasoning & proof. Codes and cryptography. Combinatorics. Mathematical modelling. Working systematically. Networks/Graph Theory. Games.There are 19 results
Broad Topics > Decision Mathematics and Combinatorics > Algorithms
On What Day Did it Happen?
Age 5 to 14
Read this article to find out the mathematical method for working out what day of the week each particular date fell on back as far as 1700.
Unusual Long Division - Square Roots Before Calculators
Age 14 to 16 Challenge Level:
However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?
Medal Muddle
Age 11 to 14 Challenge Level:
Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?
Triangle Incircle Iteration
Age 14 to 16 Challenge Level:
Keep constructing triangles in the incircle of the previous triangle. What happens?
Tournament Scheduling
Age 11 to 16
Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.
Stretching Fractions
Age 14 to 16 Challenge Level:
Imagine a strip with a mark somewhere along it. Fold it in the middle so that the bottom reaches back to the top. Stetch it out to match the original length. Now where's the mark?
Zeller's Birthday
Age 14 to 16 Challenge Level:
What day of the week were you born on? Do you know? Here's a way to find out.
X Marks the Spot
Age 11 to 14 Challenge Level:
When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .
Sorted
Age 14 to 18 Challenge Level:
How can you quickly sort a suit of cards in order from Ace to King?
Tis Unique
Age 11 to 14 Challenge Level:
This addition sum uses all ten digits 0, 1, 2...9 exactly once. Find the sum and show that the one you give is the only possibility.
Skeleton
Age 11 to 14 Challenge Level:
Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.
Slippy Numbers
Age 11 to 14 Challenge Level:
The number 10112359550561797752808988764044943820224719 is called a 'slippy number' because, when the last digit 9 is moved to the front, the new number produced is the slippy number multiplied by 9.
Method in Multiplying Madness?
Age 7 to 14 Challenge Level:
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Peaches in General
Age 14 to 16 Challenge Level:
It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.
Vedic Sutra - All from 9 and Last from 10
Age 14 to 16 Challenge Level:
Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?
Alphabet Soup
Age 11 to 14 Challenge Level:
This challenge is to make up YOUR OWN alphanumeric. Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.
Funny Factorisation
Age 11 to 14 Challenge Level:
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
Long Multiplication
Age 11 to 14 Challenge Level:
A 3 digit number is multiplied by a 2 digit number and the calculation is written out as shown with a digit in place of each of the *'s. Complete the whole multiplication sum.
NRICH is part of the family of activities in the Millennium Mathematics Project.