Cambridge Prelim MX1 Textbook Marathon/Q&A (4 Viewers)

appleibeats · Mar 5, 2015

Though of starting this thread to help preliminary students with their struggle with any maths problems from this book only, especially with the extension questions.

If you are asking a question, remember to reference which question it is in the book.
If you are going to post an answer, please show full working out.

Thanks.

MilkyCat_ · Mar 5, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Maths in Focus lyf

appleibeats · Mar 5, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

I guess I will be the first to ask.

Does anyone know how to answer question 16 i and k in Exercise 4F. Thanks.

appleibeats · Mar 5, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

FYI I tried to write the question up here, but encountered some difficulties. I guess that means you need the book to help answer. Thanks.

Drsoccerball · Mar 6, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

appleibeats said:
FYI I tried to write the question up here, but encountered some difficulties. I guess that means you need the book to help answer. Thanks.

Post the question and i will answer..

FlyingGullible · Mar 6, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Q.16 i)
(I don't know if I attached the picture correctly, first time posting here).

..Ok, apparently 2.4Mb is too big for an attachment, so:
https://www.dropbox.com/s/nd9aig6szg2960q/2015-03-06 19.21.41.jpg?dl=0
https://www.dropbox.com/s/kkgcpdaids3zr8l/2015-03-06 19.22.07.jpg?dl=0

Ambility · Mar 6, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Here are the questions he was referring to:
Prove the identities:

16i.) $\frac{1}{\cot \theta- \cos \theta} = \frac{\tan \theta}{1-\sin \theta} = \frac{\sin \theta + \sin^2 \theta}{\cos^3 \theta}$

16k.) $\frac{(\sin^2\alpha-\cos^2\alpha)(1-\sin\alpha\cos\alpha)}{\cos\alpha(\sec\alpha-\csc\alpha)(\sin^3\alpha+\cos^3\alpha)} = \sin\alpha$

barcyy · Mar 8, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

im having troubles with solving inequations with a variable in the denominator - 3A any help will be greatly appreciated!

enigma_1 · Mar 8, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

MilkyCat_ said:
Maths in Focus lyf

Don't use Maths in focus

enigma_1 · Mar 8, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

barcyy said:
im having troubles with solving inequations with a variable in the denominator - 3A any help will be greatly appreciated!

Do you mean something like the example on page 75?

If there's a variable inn the denominator, the reason that you have to multiply both sides by the square of the denominator if it has a variable like "x" in it is to ensure that you're multiplying both sides by a positive number (since if you square something, either positive/negative it will always be positive) and hence there will be no need to be confused about whether to switch the inequality sign. Coz you know howif you multiply/divide both sides of an inequality by a negative number, the sign flips yeah? So that's why.

When you do that, you get like a quadratic/cubic or whatever which you can then factorise. Then you graph it as a parabola/cubic or whatever it may be. (ie if the quadratic is greater than/less than/ greater than or equal to/less than or equal to ZERO. And then you apply the inequality to the graph and determine what the final inequality will be from the graph.

Meight · Mar 9, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Oops lol didn't see this thread...
Well here are a few questions for simple plane geometry. I don't know the 'proper' way of doing these questions and there's no answers to refer to in the back.
It's from Exercise 8B [Question 12. (a),(b),(c),(d)]
View attachment 31895

WrittenLoveLetters · Mar 10, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

enigma_1 said:
Don't use Maths in focus

School assigns Maths in Focus T___T

appleibeats · Mar 10, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Hi, not sure how to go about question 16 from chapter 4J. The question is

the side of a triangle are n2 + n + 1 , 2n + 1 and n2 - 1, where n>1. Find the largest angle of the triangle.

( n2 being --> n squared )

Thanks.

Ambility · Mar 12, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Meight said:
Oops lol didn't see this thread...
Well here are a few questions for simple plane geometry. I don't know the 'proper' way of doing these questions and there's no answers to refer to in the back.
It's from Exercise 8B [Question 12. (a),(b),(c),(d)]
View attachment 31895

In my book, question 12 only has an ai, aii, aiii, aiv, av and b. Are you sure your talking about the right question?

Meight · Mar 14, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Oops... it's from the year 12 3 unit cambridge textbook, not the year 11 one.

happy_turtle · Mar 17, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

enigma_1 said:
Don't use Maths in focus

What's wrong with maths in focus?

Ambility · Mar 17, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

happy_turtle said:
What's wrong with maths in focus?

A lot of people say Maths in Focus is too easy for the subject its designed for - that it doesn't challenge students enough. Most of these people say cambridge is a good alternative. I, however, own and use both books and I find that they are both good for separate uses. Maths in Focus is great for introducing you to the concepts and ideas, and it does this so well that it is quite easy to catch up if you have missed a lesson, while cambridge really allows you to develop your skills and apply them to harder, or more abstract problems.

enigma_1 · Mar 17, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

WrittenLoveLetters said:
School assigns Maths in Focus T___T

happy_turtle said:
What's wrong with maths in focus?

it's a terrible book. Use Cambridge instead. Make Maths in focus extinct from your lives pls

ty

appleibeats · Apr 3, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

Having troubles with question 15 b from 6A.

The question is :

Write as a single fraction, without negative indices, and simplify:

1 - y^ -1 divided by 1 - y^-2

Ambility · Apr 3, 2015

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread

appleibeats said:
Having troubles with question 15 b from 6A.

The question is :

Write as a single fraction, without negative indices, and simplify:

1 - y^ -1 divided by 1 - y^-2

Generally with these questions, if you can get as much as possible under a common denominator, then invert and multiply, you should be sweet.

$1-y^{-1} \div 1-y^{-2}\\=1-\frac{1}{y}\div1-\frac{1}{y^2}\\=\frac{y}{y}-\frac{1}{y}\div\frac{y^2}{y^2}-\frac{1}{y^2}\\=\frac{y-1}{y}\div\frac{y^2-1}{y^2}\\\text{Now, we invert and multiply:}\\=\frac{y-1}{y}\times\frac{y^2}{y^2-1}\\=\frac{y^3-y^2}{y^3-y}\\\text{Now, we simplify:}\\\frac{y^2-y}{y^2-1}$

Cambridge Prelim MX1 Textbook Marathon/Q&A (4 Viewers)

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