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Posts tagged with equations

Oppenheimer, Manhattan Project and Atmospheric Detonation

July29

At a conference in the summer of 1942, almost a full year before Los Alamos opened, physicist Edward Teller raised the possibility of atomic bombs igniting Earth’s oceans or atmosphere. “I don’t think any physicists seriously worried about it,” said John Preskill, a professor of theoretical physics at California Institute of Technology. In 1946, three […]

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How Imaginary Numbers Were Invented

January20

Well, there is more to this excellent video than just Imaginary Numbers; it also plots an excellent course through the history and development of Mathematics, complete with maps, etc. H3 gives it 5-stars, a Must View.

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Einstein’s Handwritten Math Offered to Pawn Stars

November14
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Life After the Big Prize – Part II

November5

Alessio Figalli was awarded the Fields Medal in 2018 for “his contributions to the theory of optimal transport and his applications in partial differential equations, metric geometry and probability“. As the name suggests, optimal transport theory is about finding the best way of moving a distribution of things from one place to another when there’s […]

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How can someone born in 2020 be older than someone born in 2019?

January4

Solution: If someone is born, say, at 1am in the morning of January 1 2020 in Sydney, then everyone born in the UK in the afternoon of December 31 2019 will be younger than them but born the previous year. In fact, the number of people born in 2020 who are older than someone born […]

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Can you Find the Algebra Exam Error?

November25

In a Level 2 Algebra Exam, held in New Zealand recently, students (and teachers) were flummoxed by some of the questions. Can you spot the error in this one? (Answer in Blog Support shortly)?

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Find x

December17

see Post Support for answer–>

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A Math cartoon for great discussion

April5

This cartoon prompted some really great discussion in my junior math classes…

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Some Common Math Errors

November6

Errors #1: This image shows a student’s working. What went wrong? Well, obviously x should = 17, not the square root of 17. Perhaps a better way to explain the error is like this: When solving equations (expressions with an equal sign) like this, remember the algebraic rule: “Whatever you do to one side, do […]

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Math Equations Delay Flight

May8

An Italian maths professor was recently escorted off an American Airlines flight after a fellow passenger feared his mysterious scribbling on a notepad was evidence that he was a terrorist. In fact Guido Menzio was working on an equation connected with a presentation on price-setting he was due to present. He was flying from Philadelphia […]

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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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