Students must complete 2 challenges @ 1¼ points each: Minimum of 2, Maximum of 5

………………………………………………………………………………..

2. So You Think You can Add!:

* How many round-cut 8 carat diamonds will cover top of an A4 sheet?

* How many human hairs would cover the back of your (Werewolf) hand including your fingers assuming 200 hairs per square cm or 1,290 hairs per square inch.

* A set of scales in Stone. How heavy is a stone?

* Measure the length of your kiss in cm or inches. Show picture.

* Bring a slide rule. Show how to calculate 100 x 10.

* A pair of 40 denier tights. What is a denier?

* A t-shirt with π on the front

* How many golf balls would go around the equator? Diameter of golf ball= 43 mm

* Picture of a human Pentagon

* Arithmetic Progression of Stamps worth: 5c, 10c, 15c, 20c, 25 c and 30c.

* Picture of you calculating the angle of a pair of high heels using a cardboard triangle.

* Write the mirror image of every number from 1 – 20.

* Freeze three types of triangle into a cube of ice each.

* Bring in 3 size 24 buttons. What is the diameter of a size 24 button?

* Car batteries are labelled 12V but are more likely 12.6 volts. Plot a graph of % charge remaining Vs Voltage (V). You’ll find info here.

* If you buy an $120,000 Boxter Porsche and it depreciates in value by 25% annually, how much will it be worth when it is 1, 2, 3 and 4 years old? More info here.

* In 2012 Usain Bolt had earned $20 million up until the Olympic Games mostly through endorsements. He ran a total of 400m (100 m, 200m and 4x100m relay). How much does the fastest man on earth earn per m and, more interestingly, per second? Why is the relay faster per leg than the 100m sprint?

* An old maths exam paper of a parent or grand parent or a school ruler with their name on it. (Must be old)

* How many large cracked eggs would it take to fill a 50-litre rubbish bin?

* What does 24 carat gold mean? Write 24, 18 and 12 carat gold in fractions.

* If Usain Bolt could keep up his 100m-sprint speed, how long would it take for him to finish the marathon? How long would it take him to get to school from your place? Include map showing your route to school.

* Draw a skateboard deck width Vs skater height graph. Info here.

The way we humans walk is very complex. We’ll just look at the centre of gravity.

When the centre of Gravity of any object

passes over its base it falls over.

SPLAT!!

We humans walk by falling over. We use one foot as a leaver to push our centre of gravity slightly upward and forward over our foot. If the other foot didn’t swing forward we would fall over.

SPLAT!!!

High heels make walking difficult for woman for many reasons.

They cause problems with knee joints and back pain. High heels put extra stress on the ball of the foot and also cause foot calluses from increased pressure on the front and side of the foot. Research shows stilletto wearers are walking a dangerous line( 1o th August 2010 Herald Sun )That’s the good news.

High heels make the wearer unstable. High heels raise your Centre of Gravity and narrow your base. (See Diag: Each foot forms the hypotenuse of a triangle.) Mathspig noticed many girls in Europe – Nice, Cannes and Corsica – walking in extra high stiletto heels down very, very steep slopes and they were struggling.

The problem involves SIMPLE GEOMETRY. Look at the high heels below. I’ve included a range of angles as the foot is bent in a high heel shoe so I”m covering all bases. Literally.

Now put these shoes on and stand on a hill with a 30-degree slope.

You can see the resulting angles (slope plus high-heel) range from 62-degrees to 83-degrees. When you move forward down a hill in high heels you are VIRTUALLY throwing yourself off a cliff with each step.

We walk by falling a little with each footstep. When you walk down a slope you fall sooner and further. This SOONER, FURTHER, SOONER, FURTHER… momentum gets you swinging each foot forward faster and faster to stop yourself falling. You may end up running down the hill.

If you are walking down hill and also wearing high heels this is the point your friends yell ‘Gooood byyyyye!!!!’ as you are unstable, have less muscle control – your foot muscles have limited up-and-down movement – and you have reduced friction -the ball of the foot only – to stop yourself slipping.

Of course, walking up hill in high heels should be easy!!!!!

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

UPDATE: 26 March 2012

Here is an image I never thought I’d see.

On the 17 March 2012 The AGE(see pic above) published a report on MODEL WOBBLES ON THE CATWALK. During Fashion Week in Melbourne models, who got the wobbles had to stop walking and take off their high high-heel shoes. Why? Occupational Health and Safety Regulations. If models can’t wear high high heel shoes why would any girl? The one skill models do have is the ability to walk in high heels.