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Archive for April, 2014

The Mathematics of Scale

April30

Hey – do you enjoy making model cars, boats, planes, dolls houses, or even F1 racing cars? Modelling is great fun and most model kits come with a scale on the front of the box, such as 1:50 or 1:100. I recently saw a modelling kit of the Starship Enterprise, which had a scale or […]

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Earthquake equations to help in disaster planning

April29

New Zealand scientists are surveying several hundred people about their experiences in the February 2011 earthquake which devastated many parts of Christchurch, in the South Island. “Teams of scientists will scour the quake-shattered eastern suburbs of Christchurch to gather vital information to improve earthquake hazard and risk assessments in New Zealand. Where owners or occupiers […]

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Putting a Face to Mathematics

April22

In less than a week H3 has had a retina scan for airport security plus a 15-point face scan for new drivers’ licences. How does this technology work and what role does Mathematics play in it? Face recognition is the process of identifying one or more people in images or videos. Algorithms for face recognition […]

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Spheres

April15

H3 were amazed by the glass sculpture garden they visited in Taupo, New Zealand. Located at Lava Glass, one of the world’s premier glass blowing factories, this garden is a delightful collection of glass flowers, glass spheres and glass sculptures. It made us think again about the significance of the sphere as a mathematical shape […]

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Mathematician develops an app to reduce Jet Lag

April11

In his Research Statement, Mathematician Danny Forger says that he devotes his research to “understand biological clocks”…using “techniques from many fields, including computer simulation, detailed mathematical modeling and mathematical analysis, to understand biological timekeeping.” Perhaps this is why he has developed an app to reduce jet lag for travellers. “Overcoming jet lag is fundamentally a […]

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Overcoming the Math Homework Blues – 3 Simple Tips

April9

Here are a few simple tips to help get on top of your Mathematics homework. These are simple, yet tried and true ideas that seem to work well for many students. Hold onto your graphing calculator – here they are: Tip #1: When you get home from school or college have a complete break for […]

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9.1 billion vibrations per second is useful Math!

April4

Good news for people who are sticklers for punctuality: The National Institute of Standards and Technology has a new atomic clock that isn’t supposed to gain or lose a second in roughly 300 million years. The new clock was launched last Thursday. It’s located at the institute’s Boulder center. The clock is the nation’s civilian […]

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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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