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Archive for July, 2013

Equation Puzzle Solution…

July29

Just because you didn’t ask here is the solution to the earlier equation puzzle with the 5’s:

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Students Compete at the 54th Math Olympiad

July29

The brain-pressure is finally over that the results are in as students competing in the 54th International Mathematics Olympiad (IMO) in Colombia head back to their various countries. The International Mathematical Olympiad is the World Championship Mathematics Competition for High School students and is held annually in a different country. The first event was held in […]

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Doing Maths can be a real pain, but…

July27

“Mathematics can be difficult, and a new study shows even thinking about doing it can physically hurt. Researchers Ian Lyons and Sian Beilock at the University of Chicago have shown how increases in brain activity appear in regions associated with pain and threat detection, when people with “high levels of mathematics-anxiety” are presented with mathematic […]

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Math and Music with Dr. David Kung

July27

Dr. David Kung is Professor of Mathematics at St. Mary’s College of Maryland. His musical education began at an early age with violin lessons. As he progressed, he studied with one of the pioneers of the Suzuki method and attended the prestigious Interlochen music camp. While completing his undergraduate and graduate degrees in mathematics, he […]

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Finding Gradients – Pt II

July25

Google Earth provides a practical tool to find gradients between two points . In this example, we are interested in the gradient between Mt Fuji and Yamanakako. The gradient is equal to the rise in elevation divided by the run (horizontal distance). In this portion of the cross-section we can calculate the gradient to = a […]

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Finding Gradients – Pt 1

July20

If a road is steep we say that it has a “steep gradient”. Gradients are defined as the amount of increase in altitude (or rise) divided by the distance (or run) travelled. In the following diagram, you can find the gradient of the red line by taking any two points – here we are using […]

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The Mathematics of Sailing

July20

As the previous post indicated, Mathematics is at the heart of every top sport – whether in the data collection and analysis or in the calculation of successful equations to balance performance against each parameter. In this article from WhyDoMath the goal in yacht design is to find the most efficient shape of the hull its […]

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Cracking the Sailing Equation…

July16

“The cat was let out of the bag – so to speak – very early on in Team NZ’s testing programme in the new AC72 class, after a sailing enthusiast and amateur photographer snapped pictures of the team out training, which appeared to show both hulls of the Kiwi boat flying clear of the water. […]

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Using your fingers to multiply by 9

July14

Finger Mathematics with the 9X Rule If you struggle to multiply by 9, try this simply trick: 1. Spread your two hands out and place them on a desk or table in front of you. 2. To multiply by 3, fold down the 3rd finger from the left. To multiply by 4, it would be […]

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Palindromes

July13

A palindrome walks into a math class and says “Syas dnas salch tama Otni Sklawem Ordnilapa” 1111122222233333334444444455555544444444333333322222211111 In mathematics, a palindrome is a number that reads the same forward and backward. For example, 282 and 707. I’m guessing that’s why I enjoyed driving my Mazda 808, 323 and 626 a few years ago? By definition, all numbers that […]

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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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