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Posts tagged with primes

No Post Today

June20

This is a ‘No Post’ today. Just to explain… I have two main blogs, a wife and 3 children and 5 grandchildren and my novel #2 to get published (when I find a keen agent). This is why my posts are not as regular as they might be. However, to the observant mathematician, you will […]

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Misbehaving Prime Numbers

April21

Two academics have shocked themselves and the world of mathematics by discovering a pattern in prime numbers. Primes – numbers greater than 1 that are divisible only by themselves and 1 – are considered the ‘building blocks’ of mathematics, because every number is either a prime or can be built by multiplying primes together – (84, […]

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Why are Prime Numbers so Important?

March28

Prime numbers are cool. As Carl Sagan points out so eloquently in the novel Contact, there’s a certain importance to their status as the most fundamental building block of all numbers, which are themselves the building blocks of our understanding of the universe. Whether it’s communicating your credit card information to Amazon, logging into your […]

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Math in its Prime…

August11

A few years ago an old school textbook that H3 used explained that 1 was not a prime number “because of the Liquorice Factory”! The attached pdf is a great worksheet for students (and other readers of this blog) to examine the kind of machines that we need in order to produce liquorice in lengths […]

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We study math because of neck-ties!

February21

In a recent online discussion (read more here) about Prime Numbers, was this extract regarding the importance of research; “For what it’s worth, a great deal of mathematical research has no known application and little or no bearing on other fields. Some very smart people (Russell, Hardy) have argued that this is not a bad […]

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Working with everyday numbers

December9

OK. Here is a sign at a bus stop in Singapore. Can you work out the different types of numbers – any primes; any squared numbers, odds and evens, etc.? It still amazes H3 how many students use numbers like these each day, but never actually study them. The mental gymnastics of number analysis is […]

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Mind-Boggling Math Fact #4

January13

Prime Spirals: Because prime numbers are indivisible (except by 1 and themselves), and because all other numbers can be written as multiples of them, they are often regarded as the “atoms” of the math world. Despite their importance, the distribution of prime numbers among the integers is still a mystery. There is no pattern dictating which […]

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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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