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Archive for November, 2014

Coordinates the modern way!

November23

So, you are sitting in a math class, wondering why you are doing Coordinate Geometry? You know the feeling – using (x,y) to show the place of a point on a Cartesian Plane. The Cartesian Plane was named after the French mathematician, Rene Descartes (right). He was a really bright Math guy as well as […]

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Serious Fun with Fractals

November22

The Fractal Foundation has put together some great resources on this intriguing topic. They note, “We can find fractals all over the natural world, from tiny patterns like seashells up to the giant spirals of the galaxies. Trees, river networks, mountains, coastlines, lightning bolts, blood vessels, flowers, etc are all examples of natural fractals. We […]

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Math puts class into architecture

November19

The link between Mathematics and architecture goes back to ancient times. Pyramids and temples were some of the earliest examples of mathematical principles at work. Today, Mathematics continues to feature prominently in building design. Thanks to modern technology, architects can explore a variety of exciting design options based on complex mathematical formulae, allowing them to […]

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Did Pythagoras have any children?

November18

We are not certain if Pythagoras had any children but he had several well known triplets – here are three of them! See more Pythagorean Triplets here! (H3 Note: we are often responsible for the poor humor on this site)

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Could Pythagoras do your Mathematics?

November18

Before we answer that question, let’s see who Pythagoras was! Actually, there is so much fact and fiction surrounding Pythagoras that it is sometimes difficult to locate the real hypotenuse, but at least we can try! Most Greeks at this time (6th Century BC) believed that gods and spirits moved in the trees and the […]

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Why Study Math – 10 Good Reasons!

November16

Here is a quick overview of why you should study Mathematics (some are good reasons and some are very good reasons):

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Scale that Rock!

November13

After a 10-year journey, the space probe Philae has landed on the 67P/Churyumov-Gerasimenko comet after being launched from the space probe Rosetta. Astrophysicists hope Philae will unlock knowledge about the origins of the solar system and even life on Earth, which some believe may have started with comets seeding the planet with life-giving carbon molecules […]

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The best books make you think and imagine…

November12

It was quite an unusual event and I was only a newbie in high school. We had a guest speaker at our weekly assembly which was usually quite boring. So, why would I remember this particular morning? Easy – the guest speaker spoke for nearly two hours through to the first recess. The Principal was […]

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How to find the volume of a sphere

November9

Well, just how do we arrive at the formula for the volume of a sphere? We do know that any volume is measured in cubes of some sort and this is the same for a sphere. The formula (graphic from Wiki How) is: Perhaps we can trace this formula back to Archimedes, who was born […]

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Mathematics and String Theory

November5

Algebra provides the first exposure to the use of variables and constants, and experience manipulating and solving linear equations of the form y = ax + b and quadratic equations of the form y = ax2+bx+c. What about other branches of Mathematics and their place in String Theory? Check out this website for more.

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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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