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Exam Questions

A-Math: Differentiation & Integration Application : Examples of Typical Kinematics Questions

I was looking through 2008 GCE O Level Additional Mathematics Exam Papers (Subject Code: 4038) and as expected, there was a Kinematics question (worth 6 marks) in Paper 1.

Kinematics is a application topic for Differentiation and Integration. To master this topic, you do not necessarily need to bring in your physics knowledge though it could be useful at times.

Instead, how I get my students to be a master in this topic is to be familiarize with a KINEMATICS VOCABULARY LIST.

Here's some of the vocabulary words that are useful and common:

  • Momentarily at rest, instantaneously at rest, changes direction of motion, stationary
  • Initial displacement, initial velocity, initial acceleration
  • Greatest displacement, greatest velocity, greatest acceleration
  • Distance travelled in the 4th second VS Distance travelled in the first 4 seconds
  • Maximum distance from Point O
  • Particle returns to Point O
  • Constant Velocity

I would say for Kinematics, it is one of the few topics in A-Math which uses extensive vocabulary. This is also the reason for you to decipher the meaning behind these words.

So do you know the meaning behind these words? I would love to hear about it in the comments section.

I have also taken a few questions from my A-Math TREQ book (Topical Real Exam Questions) to illustrate some common exam questions on Kinematics, further highlighting the importance of knowing your Kinematics well. (Click on the image for bigger view)

Click on image for a larger view

I would be sharing the step by step solutions for Question 8 in the next post. Subscribe to my blog to be updated again!

Filed Under: A-Maths Tuition, Exam Matters, The A-Math Book, Weekly Question Tagged With: differentiation, Exam Questions, integration, kinematics, Topical Real Exam Questions, vocabulary list

No More GCE O Level Ten Years Series (TYS) Examination Questions Book ?

Filed Under: A-Maths Tuition, E-Maths, Exam Matters, Learning Tools, Press Releases Tagged With: Exam Questions, news, ten years series

A Goodie For You! Monthly Math Exam Papers Questions (With Answer Key Included)

Update (2011): Download of Maths Exam Papers is not available as of now.


Photo Credit:psd

In response to the poll conducted in Dec '08, we have launched our first value add service for 2009 to all your readers.

Free Monthly Math Exam Papers Questions & Answers

For those who want to receive Math Exam Paper Questions sent on a monthly basis, click here.

What you will expect:

  • 4 sets of Math (Either Elementary Math or Additional Math) Exam Papers sent monthly with answer keys. (You can print it out and work on it)
  • Frequent updates on discussion of Math questions, Math tips & strategies which could be time-saving and reduce careless mistakes.

More consistent practice = more exposure = more marks!

For your information, almost 50 readers have subscribed for the free exam papers in a short 30 minutes.

PS: Did I mention you are getting all these exam papers with hundreds of questions for f*ree? :)

Filed Under: A-Maths Tuition, about singaporeolevelmaths, Cool stuff, Desserts, E-Maths, Exam Matters, Learning Tools, scorers mindset, Weekly Question Tagged With: exam papers, Exam Questions

Exam Question : Usage of Binomial Formula

Harry - a vivd reader of askalwayslovely.blogspot.com sent me an email asking about solving of the following question. He did it using trial and error. I believe it will take him some time. He felt that his approach was not the best so he emailed me asking for alternatives.

In fact for this question, there is a step by step way which will get us the answer in less than 8 minutes time.

Question: If the coefficient of [pmath]x^k[/pmath] and [pmath]x^(k+1)[/pmath] in the expansion of [pmath](2x+3)^19[/pmath] are equal, find [pmath]k[/pmath]

Click on the image for bigger view

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Filed Under: A-Maths Tuition Tagged With: binomial, Exam Questions

What Happens When Integration Question Is in the form of Product?

I posted an interesting question on Integration here.

Allow me to repeat. There isn’t any product rule nor quotient rule in Integration.

So to Integrate the question, some "extra" work must be done to "dissolve" the product nature of the question.

These are the steps that must be taken even before Integration beings:

  1. Factorise the terms inside the Square Root
  2. Combine common term (2x+1) by applying Indices Law
  3. Remember to + c as this is a indefinite integral aka no limits given

integration-product1.PNG

Filed Under: A-Maths Tuition, Learning Tools Tagged With: Exam Questions, integration

Integration Mixed With Differentiation

In Integration, unlike Differentiation, there isn't any product rule nor quotient rule. Having said this, examiners always like to present question in that form of either product or quotient. Students who aren't able to see through their plot to confuse your mind will fall straight into their trap.
So LOOK OUT!

The question most students will ask next will be what to do when the Integration is presented in the manner as if we can use product or quotient rule aka the given question is in the form of a fraction.

These are the few ways you can work around it

  • Simplifying either by breaking up the numerator
  • Simplification by applying Indices Law (very useful when you are working with exponential or bases-powers)
  • Apply partial fraction concept

Look at this question:
\int (2x+1)\sqrt{8x+4} dx

It is expressed as two product. How do we integrate?

Discuss your approach in the comment box below.

I will reveal the step by step approach by end of this week. Be sure to subscribe to www.singaporeolevelmaths.com/feed so that you will be notified of latest updates

Cheers!

Filed Under: A-Maths Tuition, Weekly Question Tagged With: differentiation, Exam Questions, integration

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