Resources tagged with Formulae similar to Pinned Squares:
Other tags that relate to Pinned Squares
Pinboard/geoboard. Generalising. Squares. Creating expressions/formulae. Visualising. Mathematical reasoning & proof. Small software. smartphone. Patterned numbers. Formulae.There are 17 results
Broad Topics > Algebra > Formulae
Pinned Squares
Stage: 3 Challenge Level: 
The diagram shows a 5 by 5 geoboard with 25 pins set out in a square array. Squares are made by stretching rubber bands round specific pins. What is the total number of squares that can be made on a. . . .
AP Rectangles
Stage: 3 Challenge Level:
An AP rectangle is one whose area is numerically equal to its perimeter. If you are given the length of a side can you always find an AP rectangle with one side the given length?
Triangles Within Pentagons
Stage: 4 Challenge Level:
Show that all pentagonal numbers are one third of a triangular number.
Triangles Within Triangles
Stage: 4 Challenge Level:
Can you find a rule which connects consecutive triangular numbers?
Icosagram
Stage: 3 Challenge Level:
Draw a pentagon with all the diagonals. This is called a pentagram. How many diagonals are there? How many diagonals are there in a hexagram, heptagram, ... Does any pattern occur when looking at. . . .
Triangles Within Squares
Stage: 4 Challenge Level:
Can you find a rule which relates triangular numbers to square numbers?
On the Importance of Pedantry
Stage: 3, 4 and 5
A introduction to how patterns can be deceiving, and what is and is not a proof.
For What?
Stage: 4 Challenge Level:
Prove that if the integer n is divisible by 4 then it can be written as the difference of two squares.
Screen Shot
Stage: 4 Challenge Level:
A moveable screen slides along a mirrored corridor towards a centrally placed light source. A ray of light from that source is directed towards a wall of the corridor, which it strikes at 45 degrees. . . .
More Quadratic Transformations
Stage: 4 Challenge Level:
Here are some more quadratic functions to explore. How are their graphs related?
In Particular
Stage: 4 Challenge Level:
Write 100 as the sum of two positive integers, one divisible by 7 and the other divisible by 11. Then find formulas giving all the solutions to 7x + 11y = 100 where x and y are integers.
Ordered Sums
Stage: 4 Challenge Level:
Let a(n) be the number of ways of expressing the integer n as an ordered sum of 1's and 2's. Let b(n) be the number of ways of expressing n as an ordered sum of integers greater than 1. (i) Calculate. . . .
Hot Pursuit
Stage: 3 Challenge Level:
The sum of the first 'n' natural numbers is a 3 digit number in which all the digits are the same. How many numbers have been summed?
What's That Graph?
Stage: 4 Challenge Level:
Can you work out which processes are represented by the graphs?
First Forward Into Logo 12: Puzzling Sums
Stage: 3, 4 and 5 Challenge Level:
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Quadratic Transformations
Stage: 4 Challenge Level:
Explore the two quadratic functions and find out how their graphs are related.
Training Schedule
Stage: 4 Challenge Level:
The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?
NRICH is part of the family of activities in the Millennium Mathematics Project.