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Archive for January, 2013

Tiles and Tessellation Art Exhibition

January30

The art of fitting together mathematical shapes in repeating patterns is the basis of many fine designs and art work (unlike this one): In 2012 there was an excellent exhibition of mathematical art works. Click on this image below (“hyperbolic tiling”) to find out about these wonderful works and their author-artists: (Footnote: the first pic […]

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Test your fractions…

January30

This is a good online challenge to test your Fractions knowledge (you can even send your results to your teacher!). The goal is to match the given fraction to the choice of decimals. There are several levels.

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Practical Algebra – factors of car number plates!

January27

Every student sees car number plates almost every day. There are some great variations between countries but most have a number on them. A great way to get better at Algebra is to practice finding factors of car numbers on the licence plate. Of course, this is called “factorising” but whichever way you define it […]

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Making Music with Mathematics

January26

Click on this image to watch the Youtube and see how numerical values change musical pitch, etc:

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Life of Pi – Mathematics at the Movies

January24

Life of Pi is a movie by Ang Lee about the stories of a boy, Piscine, who suffered verbal abuse in school because his name was often taken to be “Pissing”.  To move beyond this, he makes a huge effort to become known as Pi by going up to the blackboard in every class he attends […]

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Maths Professor Sheds Light on how Life Began

January21

A New Zealand mathematics professor is helping to shed light on how life began on Earth. Mike Steel, the University of Canterbury’s director of Biomathematics Research Centre, has suggested a necessary condition for early life is the formation of a “chemical reaction network”. Professor Steel is part of a team using maths to help understand how such […]

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Changing Celsius to Fahrenheit

January21

Take the temperature in Celsius and multiply 1.8 (or multiply by 9, then divide by 5) Add 32 degrees. The result is degrees Fahrenheit. So, 0 degrees Celsius = 32 degrees Fahrenheit Now, can you do the reverse?

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Mind-Boggling Math Fact #1

January20

The sonnet “Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler’s Equation reaches down into the very depths of existence.” Stanford mathematician Keith Devlin wrote these words about this equation in a 2002 […]

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Misleading Graphics

January19

This graph (from The Australian) caught my eye today as summer temperatures soared in parts of Australia. Just a pity that there was not a Mathematician on hand to show the scale more accurately? You might be able to guess what the starting value is but, in essence, this is not good graphing from a […]

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Mind-Boggling Math Fact #2

January19

Mathematically speaking, there’s just a finite number of distinct geometric patterns. All Escher paintings, wallpapers, tile designs and indeed all two-dimensional, and repeating arrangements of shapes can be identified as belonging to one or another of the so-called “wallpaper groups.” And how many wallpaper groups are there? Exactly 17. The classification of the wallpaper groups […]

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« Older Entries

Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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