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Archive for March, 2012

Gosh…we missed Pi Day!

March25

How did it happen? We missed Pi Day – 03/14 or 3.14 aka March 14th, which is the day that we all (except us on this blog) celebrate this famous value in Mathematics. Check out this video from CNN; Click on the image to play the video

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Earnings and Inflation

March25

A senior maths class I taught recently were looking at Inflation and how this factor affects compound interest. For example, you might invest $100 dollars at 10% compounding interest over 10 years. How much would your total be? Now, you might expect a healthy profit but your new found wealth might be severely influenced by […]

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The Broken Pottery – You should dig this!

March22

A “shard” or “sherd” is part of a piece of pottery that might be found at an archaeological site where pottery-making people once lived. Archaeologists usually want to figure out how big the original piece of pottery was, as that can tell them something about who might have made the piece and when it was […]

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The Math of Wing Design

March22

Designers have come up with a radical new double-wing design which is more fuel efficient and has less of a sonic boom than previous designs. Click on the image for more information on this breakthrough.

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Algebra and Toy Story, etc.

March21

Wasn’t Toy Story 3 the coolest family film of the year? According to When Will I Use Math? an Animator uses linear algebra to show the way that an object is rotated and shifted and made larger and smaller. As well as prized jobs at Disney and Pixar, animators can work in computer and console game development, […]

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So, what’s the use of learning all this Algebra stuff?

March21
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The Car Park Problem

March19

Just for fun a group of friends make a circle of shopping trolleys around their friend’s car – no, don’t try this! Then one of them suggests that it would be better to have the trolleys another metre away from the car (to prevent scratches). Two questions they had to figure out: 1. How much […]

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Standard Deviation

March19

Standard Deviation is the square root of the variance (previous post). There are two slightly different formulae. We use the this one only if all values we are using form the complete population. That is, each score (x or s – Greek “sigma”) must be the total number of scores;  However, if we instead use a random sample, drawn […]

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Variance

March19

The two targets in the previous blog lead us to discuss the idea of how far each shot is from the centre – something that mathematicians call Variance. It is really a measure of the distance each score is from the mean (average – or, in our case the bullseye). When all the distances are […]

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Targeting Data Sets – Pt I

March18

Have a look at the two data sets below – the results of two target practices. You will notice that they have different patterns but both score the same number of points (ignore the -ve and + ve areas). Which target do you think shows the most accurate shooting – on the left or on […]

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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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