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Archive for December, 2014

A Cracker of a Christmas

December27

It occurred to H3 that Christmas Day is really not that mathematical at all, except for how heavy the turkey might be in order to work out how long to cook it for. So, let us set the scene. You are more worried about what present you are going to get and whether Santa has […]

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Quote of the Year

December24

The only reason for time is so that everything doesn’t happen at once. —Albert Einstein.

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Parking illegally makes mathematical sense…huh?

December24

An article from cnet breaks this almost mathematical news, which just might be useful when you have finished Drivers Ed? “Anne Wojcicki, wife of Google’s Sergey Brin, says that she’s looked at the numbers and taking the risk of getting a ticket is worth it. We’re always calculating the odds. Chances she’ll love me in […]

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Second Chances do Count for Failing Students

December22

Sachin Shanbhag posts in his blog this helpful story: “For some random reason today, I was reminded of a story that happened when I just started my current academic position. I was a very eager assistant professor teaching thermodynamics to undergraduates. I had not yet been bathed in the richness of personal struggles that many […]

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It’s Christmas and Santa Delivers

December21

Philip Bump, in an article published in The Atlantic in 2011, calculated whether it was possible for Santa (the real one) to deliver presents to all the Christian children in the world. He wrote, “Over the course of one night, St. Nick has to stop by the home of every Christian child in the world. […]

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Turning 10

December19

A significant milestone in the life of our young granddaughter – turning 10. Double digits. Almost a teenager – perhaps could be called a “ten-ager”? (from Wikipedia: “Ten is the base of the decimal system, by far the most common system of  numbers in both spoken and written language. We assume that ten is the […]

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More online math courses

December16

Edx.org offers another way for the growing mathematician to connect with some free online courses. These are great ways to engage in some diverse thinking during vacation time, etc. From Robotics to Aerodynamcs, there should be something here to interest all. Click on the image below to view a list of the ones available in […]

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Fibonacci’s Rabbits – breeding like…rabbits

December14

The original problem that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances. Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month […]

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Rock on Mathematics

December10

This Tessellated Pavement in Tasmania, Australia, formed by rocks that have fractured into polygonal blocks that appear tiled or tessellated. The overall flatness of the pavement is due to wave and chemical erosion. Then rocks which have absorbed salt water at high tide dry out at low tide. This causes salt crystals to grow and […]

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Math – a moving experience!

December10

Mathematics is not static – it is seen in movement; our movements, dance, symmetry, connections, and even in handshakes. The following video is well worth viewing if you wand a more moving experience with Mathematics!

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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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