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Posts tagged with number patterns

Sagrada Familia holds Mathematical Mysteries

October24

Number Puzzles in the Magic Square on the spectacular Sagrada Familia: H3 was recently in Barcelona and captivated by the soaring delights on this magnificent cathedral-in-progress (it is hoped to finish the building by 2026). Outside, among the modern sculptures of biblical characters is a magic square. It has hidden meanings. For example, the numbers […]

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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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The parking lot puzzle

June21

H3 Note: Give yourself about 30 sec to do this. Answer is in the Post Support

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Another sequence problem…

October2

What is the next number in this sequence (from “Big Bang Theory” – see Post Support for answer)?

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Polygonal Numbers

August1

Numbers that can form polygons are called polygonal numbers. For example, the square numbers 1, 4, 9, 16 and so on form a square.  As shown below, it is easy to see that the 10th square number is a square with 10 rows and 10 columns. This means that the 10th square number is equal to […]

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First Day of 2012

January1

Wow – hard to believe that we are already into 2012 (image from http://www.flickr.com/photos/triplejworld/6610786893/). Makes me think about the date 01/01/2012 – just using the digits 0,1,2. How often does that happen? When will it happen next? OK., so it’s not that hard – how about 02/01/2012, 10/01/2011, 11/01/2012, 21/01/2012, and 01/02/2012, etc? So, how […]

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Post Support

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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