16 October, 2013

Clock, angles and arcs

Recently we received an interesting GCSE maths question on our facebook profile. We decided to share the problem with you, as perhaps it will help someone in revising with GCSE material. The problem is as follows:

The hour hand on a clock is 12cm long. What area does it pass over in 5hrs. Take 3.142 as π

Solution to this problem is:

You are looking for area of an arc. Formula for an arc area is: A=π r 2 ( C 360° )

Where r is radius, r=12cm

C is central angle in degrees.

If a clock passes 5hours, it means it covers 5 hours out of 12 (full circle), it means: C= 5 12 360°=150°

Now using arc area formula: A=3.142 12 2 ( 150 360 )=3.142144( 5 12 )=188.52c m 2

We have seen similar questions where the clock passed certain amount of minutes or even seconds and the working is exactly the same. All you have to do is work out the angle and put it into the formula. On top of that, in order to help you with revision with geometry material, the following tests may be useful as well:

Angles, Straight Lines

Areas and Volume

Circles

25 August, 2013

School is back!

Mathematical tests help on examsWelcome back after summer holidays!

With us, you'll learn mathematics easier in the coming school year. Are you afraid of maths? Do you have GCSE or A-Level exam this year? Are you going to study maths at the University?

You do not have to be afraid, we will help you learn. With our help you'll start to like mathematics and passing an exam will be even simpler. Do you think we instantly fell for maths? It was not so easy, first of all there was nothing like Math Quiz available. We learned from textbooks, at school, and it's boring and difficult. We are well prepared for the task of assisting you with learning maths. Remember, no one is born a genius, you have to practice, practice and then practice even more. And we will help you with that.
Good luck in the new school year, you can really fell in love with mathematics.

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