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Archive for March, 2012

Figure This – Math Fun for the Family

March31

Have a look at the math resources on this great math site – with an emphasis on family;

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Geometric Challenge at Job Interview

March31

As we head for holidays here I thought you might enjoy this cartoon;

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Logic Puzzle

March31

Which direction is this bus travelling? Note: your answer may depend on which country you live in!

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Not Maths but Inspirational

March29

A new website celebrating the life of Nelson Mandela is well worth a look:

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We all make mistaks

March29

Did you hear about the maths teacher who showed her class how to find the length of the circumference – emphasising the fact that you use 2 x pi x radius to equal (e.g.) metres for feet. She then did a circumference problem for the class, using the wrong formula – instead using the area […]

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Is Maths absolute truth or experimental Science?

March29

This philosophical question has racked the brains of many a mathematician. There is a good summary here; Which could also lead to the following question; “Which is heavier – a DVD with no data on it or one that has a full length movie?”

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Jesus and the 345 Triangle of Pythagoras

March29

A question which caught my attention recently was, “Would Jesus Christ (the carpenter from Galilee) have used the 3,4,5 Triangle property from the Pythagoras theorem for right-angled triangles?” Most carpenters and home handymen use this regularly to square walls, etc. What do you think?

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Naplan Strikes Again!

March28

The Australian Naplan testing is early in Term 2, from May 15th-17th. Click here for the testing schedule. Parents, students and teachers should be aware that this testing is not about content and it is rather futile to think that you can “swat” for Naplan. I have found that referring some students to previous Naplan […]

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Why is Pi so Special?

March26

Good question. Pi is an “irrational number” which has an unending decimal expansion. π is an irrational number, meaning it cannot be referenced exactly as a fraction, but only as a decimal which never ends or repeats.  The current world record has π at a value with some ten trillion decimal points of accuracy.  In a practical sense, a physicist […]

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Free online Math Courses at MIT

March26

For a number of years MIT has made available a host of free online courses (both undergraduate and graduate). The extract below links to their Mathematics courses and is well worth a look, especially if you are a Senior considering university Mathematics – or are just a curious student! Surprising geometry emerges in the study of […]

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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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