## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Archive for September, 2013

### Billiards and Pool – the Geometry of Motion

September28

The pool table is a great battlefield for training the mind to read angles, in order to sink the balls into the appropriate pocket. There is actually a very real geometry behind billiards and pool. My Dad was a skilful billiards player as well as a good mathematician and I am sure his math was […]

by posted under Uncategorized | tagged under , , ,  |  Comments Off on Billiards and Pool – the Geometry of Motion

### The Census Puzzle

September26

Delight yourself in some mathematical detective work to see if you can figure this problem out! A member of a census organization is going door-to-door collecting information. He comes to a house where a woman answers the door. After introducing himself, he asks her how many adults live in the house. “Just me,” she replies, […]

by posted under Uncategorized | tagged under , , , ,  |  Comments Off on The Census Puzzle

### Who is the famous Mathematician…

September26

…who is largely to blame for the modern game of Sudoku? (see Post Support for the answer)

by posted under Uncategorized | tagged under ,  |  Comments Off on Who is the famous Mathematician…

September25

The apparent wind direction for sailing boats can best be described by vectors. Notice how the resulting (apparent wind) direction (called “resultant”) is found by joining a line from the base of the first vector to the end of the second (source: oceansail): The lower pic is action from the America’s Cup boats from the […]

by posted under Uncategorized | tagged under , ,  |  Comments Off on Which leads to Vectors

### America’s Cup by the Numbers

September25

The Formula 1 of yachting – the America’s Cup. Outstanding technology where the boats are now sailing over twice the speed of the wind. Also a victory as Oracle came from 1-8 wins behind to beat Team New Zealand 9-8. How did this ‘one of the greatest comebacks in sport’ happen? It was all down […]

by posted under Uncategorized | tagged under , , , , , ,  |  Comments Off on America’s Cup by the Numbers

### Daniel Tammet sees Maths everywhere! Book Review

September21

This review is just in from Science News: “As an autistic savant, writer Daniel Tammet approaches numbers in a brilliantly oblique way. He sees math everywhere, from the geometrical grids of city streets to the predictable patterns of his mother’s daily chores. Thinking in Numbers is his effort to draw the rest of us into seeing that […]

by posted under Uncategorized | tagged under , ,  |  Comments Off on Daniel Tammet sees Maths everywhere! Book Review

### Winning the Lottery – what are the chances?

September21

By the numbers (adapted from The New Zealand Herald) Lotto balls: 40 Balls needed to win Lotto: 6 Powerball balls: 10 Most common Powerball number drawn: 2 Biggest jackpots • Biggest Powerball jackpot: \$34.8 million in 2011 (shared by two players). • Biggest individual Powerball prize: \$28 million in 2010 (won by a single player). • […]

by posted under Uncategorized | tagged under , , , ,  |  Comments Off on Winning the Lottery – what are the chances?

### Prime Numbers is the sport he loves most!

September20

Adam Spencer takes a break from his breakfast show and makes his debut at TED, sharing his Aussie roots as well as his search for the biggest Prime Number! Click this boyhood pic of Adam to watch his fun TED talk:

by posted under Uncategorized | Comments Off on Prime Numbers is the sport he loves most!

### Why we love equations, especially simple ones!

September19

This 50min youtube video from the BBC is a great overview of the use of equations in Mathematics and Science. Click on the image of Einstein’s famous equation below to gain a greater understanding of the exciting world of equations (PS: first half of video is probably the best):

by posted under Uncategorized | tagged under , ,  |  Comments Off on Why we love equations, especially simple ones!

### Angles of Depression and Elevation

September13

Angles of Depression and Angles of Elevation both relate to the view from a horizontal line. When someone is depressed they tend to look down and the same is true for an angle of depression – it is an angle looking down from an imaginary horizontal line. In the sketch below, imagine someone in the […]

by posted under Uncategorized | tagged under , , , ,  |  Comments Off on Angles of Depression and Elevation

#### Post Support

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)?]