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When doing any calculus (differentiation or integration) with trig function you use radians. Because degrees are not a linear measurement.

Use simultaneous equations with variable a and d. Then when you solve for a and d just find the sum when n=20 i.e. a+5d=23 a=23-5d (1) 10/2(2a+9d)=210 (2) sub (1) in (2) Solve.

haha don't thank me, thank the guys who made it. It will keep you occupied for a while too :D

Also make sure you click on things as it gives you some information.

No worries :D

You will make no mistake in clicking this link, as it is quite interesting even for non-physicist: http://htwins.net/scale2/

Re: 2012 Year 9 &10 Mathematics Marathon That's true. Some people read solutions and think they understand, but when you give them a similar question, they have no idea.

Re: 2012 Year 9 &10 Mathematics Marathon Good question. Also realised your source of questions :P

Re: 2012 Year 9 &10 Mathematics Marathon I'm a bit late, but yes, 5kg. :D

Re: 2012 Year 9 &10 Mathematics Marathon A mushroom farmer has sent an order of 70 kg of mushrooms to the markets in standard cases. If he had used larger cases, each capable of holding 2 kg more, he would have used 4 fewer cases. What is the capacity (in kg) of the standard case?

Re: 2012 Year 9 &10 Mathematics Marathon It's called LaTeX. http://www.codecogs.com/latex/eqneditor.php <you can try it out here To post with it on here [ TEX ] *put code in here* [ / TEX ] without any spaces in the brackets. You'll~get~used~to~it

Re: 2012 Year 9 &10 Mathematics Marathon Another thing you should keep in mind is that the side length of an equilateral triangle inscribed in a circle of radius R is R\sqrt3. This can be proved later with calculus. So in this case, R*sqrt3=1, therefore R=1/sqrt3 (0.577...) Just an...

Re: 2012 Year 9 &10 Mathematics Marathon Correct :D

The least common multiple of positive integers a, b, c and d is equal to a + b + c + d. Prove that abcd is divisible by at least one of 3 and 5.

I got 30 units^2. Anyone else care to try?

80 on all those subjects is about 82-84 ATAR. Your looking at about 85 for every 2U subject there and about 40 for every one unit subject to break the 90 ATAR mark. Or another way to look at it is that you need an average scaled mark of 37/50 per unit to get 90 ATAR. Go to an estimator and...

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Yeh sqrt(3) confirmed.

Here is another good one: The lengths of the sides of the octagon are 1, 2, 3, 4, 5, 6, 7 and 8 units in some order. Find the maximum area of the hexagon (square units).

It depends on what you are looking for. Dot Point is mainly questions based on syllabus points while Excel is more of a summary with basic questions to test your knowledge.