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Showing posts with label Homework. Show all posts
Showing posts with label Homework. Show all posts

Monday, March 16, 2009

Questions from Textbook

These are the questions stipulated by Miss Tay. You just need to complete these questions after you have completed the lessons from heymath!

Ex 5.1/ Q1,3,5,7,9,11 AND
Ex5.2/Q3 -->8 and 12

Do them on foolscap paper! Show all workings neatly and clearly! I will go through step by step. So if you have the step-by step workings, it will be very helpful and you will be able to see very very clearly what your mistakes are!

Saturday, March 14, 2009

YOUR MARCH VACATION.....

These are your assignment for Mathematics.

1. Complete the E learning lesson assigned by Miss Tay. More details are found on the handout. As pointed out by Qiqi, the lesson cannot be found.. so I searched for it and found it under


2. 8 questions for E math and 8 questions for A Math. Practise these questions and you will be all set for your Block test 2.

Thursday, February 26, 2009

Error to Weekend HW Q2



....for your info, the HW is from Heymath!

Saturday, February 21, 2009

As requested by Lucas:the sock question

Here is part of the tree diagram.



Clue: This question is a no-replacement question.

e.g. Find the probability that he takes 2 black socks.

That will be he get a black sock, then another black sock.
Hence P(B and B) = 2/10 x 1/9 = 1/45 (after he takes out 1 black, there is only 1 blakc left and a total of 9 socks.)

Hope this is helpful.

Wednesday, February 18, 2009

E Math Probability HW

These are tips for Ex 2.4 Q12-14

Q14
I will use a simpler example to explain.

I have forgotten my password to my hurray! account. I know it is either pretty123, gorgeous123 or enchanting123. I have two tries to get it right. So i type in "pretty123" but it is wrong. I am prompted to key in the password again. Which password should I key in now? HOw many choices have I left?

So the probability of me being successful in my 2nd try is
P(successful in 2nd try) = P(fail 1st try, successful 2nd try) = (1/3)(1/2) = 1/6

Q13
This is similar to our Mr. Pitt getting married and having a child with blue eyes question.

Q12
Draw a tree diagram.

Tips to A Math TYS questions

p. 112 Q16a

Find the x coordinate of the point on the line y= 5 - 2x where xy is a maximum.

How to think in this question?
Firstly, we usually do dy/dx and we need to have a y function in terms of x e.g. y=ax+bx^4.
In this question, there is no direct function of x. However, you are given y= 5 - 2x and xy. Can you put them together?

i.e. substitute y= 5 - 2x into xy?
Then you differentiate the function w.r.t x.
To find max or min, the 1st derivative =0.

p. 110 Q11
Some of you asked me what is a flower bed?
In this IT age, you can utilize the wonderful internet and just GOOGLE it!

Jay Chou sang about a chrysanthemum flower bed -- 菊花台
You can also see the link here for FLOWER BED

The important thing here is to sketch a simple diagram based on the requirements of the question.

And the diagram is VERY simple! Only a circle and a square!
However, there may be different ways to draw them.

No matter how you lay these two flower beds, your fence will be the perimeters of these two shapes. Hence, x(x) + circumference of circle = 40 (total lengthof fence as given by the question). You can then express x in terms of r and pi.

Friday, February 13, 2009

Tips to A Math weekend assignment

Dear 4N1, here are tips to this weekend's A math assignment on Maxima and Minima.

Q1 Very simple. I am sure you can do it!

Q3 Also very easy.

Q4 Just find turning point and use the 2nd derivative to determine whether it is max or min.

Q8 Don't you think this resembles the question we discuss in class on Fri, when I cut out a piece of blue paper to illustrate the question? Well, you can draw out this diagram too, to help you understand. Remember, you need to find the volume too.

Q9. wait for my upload

Thursday, February 12, 2009

Tips to today's HW

Q6
Volume of a cuboid = L x B x H
In the question, can you see that x+y=3 (as 2x+2y=6)

For the base of the box, one side is y, the other side is 2-2x.

Hence, for the cuboid,
you have
L : y or (3-x) because x+y=3
B : 2-2x
H : x

Hence use L x B x H to find vol of box.

For this topic, instead of dealing with y=function of x all the time, we solve problems relating volume of prisms, areas etc.

Method is similar to finding turning (stationary points) of curves.
Tomorrow I will still spend some time on this topic.

Sunday, February 8, 2009

Clues to your HW Ex 16.1

Q1-3 are very standard questions. You are should not have problems.

Q4. A similar question was done in class. Check your class ntoebook.

Q5a. Find dy/dx. (you should know what rule to use)
Q5b. At stauionary points, dy/dx = ? (hence you can solve to find x)

Q6.
Just do your dy/dx first.
Then, ask yourself: What is the dy/dx at the stationary point?
Since the stationary point is at (3, 5), the value of x is 3.
Substitute into dy/dx and you get 1 linear eqn.
At this point, x=3 and y=5. Substitute into original equation and you should get another linear eqn.
Solve simultaneously.

Q7 to 10 are quite similar.
All of you should be able to do dy/dx and find the x-coordinates of the stationary points.
What does nature of the stationary points mean?
Whether they are minimum, maximum or point of inflexion. (check textbook examples)

Thursday, February 5, 2009

05Feb TYS homework.

05 feb TYS HW

Topic: Differentiation--Rate of change

TYS unit 11b p. 104-106
Q1 is a basic question which everyone should be able to complete!
Q2 has been discussed i nyour weekend assignment. Hope you still remember!
Q3 Similar to your HW from ME15.
Q4 Not in your syllabus. NO need to complete.
Q5 Similar to example 3 in your TYS (p.104)
Q6 NOt in your syllabus. NO need to complete.

I will collect your HW during flag raising. Please be ready with your HW in your hand.

THERE WILL BE CONSEQUENCES FOR BEING NOT SERIOUS IN YOUR WORK AND NOT RESPONSIBLE FOR YOUR OWN LEARNING!
YOU REAP WHAT YOU SOW!

Sunday, February 1, 2009

Your weekend homework.

I know some of you have problems with your weekend HW.

So, I will offer some help here:

E Math

TYS Q10b. You must find out what is the number of litres of oil left after leak.
ans: (500/x)-3.
The cost of the paraffin is now $x+1.
Hence, to calculate the money he received from selling the paraffin, you must multiply (500/x)-3 by x+1. (hint: Make it a single fraction)

A Math worksheet

Q2 Ht of cylinder is thrice its radius.


Q4


Hope you find the above clues helpful.

Monday, November 3, 2008

E Math Holiday Homework

Complete all the following questions from your 4A Math textbook. Show all your workings neatly and clearly on fullscap paper and hand them in on the first day of school.

Ex. 3.1 (p.64-66)

Q2, Q4, Q7, Q8, Q9, Q10, Q11

Ex. 3.2 (p.71-72)

Q1-6

Ex. 3.3 (p. 74-77)

Q1, Q3, Q5, Q7, Q10, Q11

Ex. 3.4 (p. 83-86)

Q1, Q2, Q3, Q5, Q7-10

Additional Math Homework

There are 3 sets of holiday assignment.
Do them neatly on fullscap paper. They will be collected on 1st day of school 2009.


Set A:
Complete all the following questions.
You may either copy and print out the questions, or copy the questions.

Q1 Solve the simultaneous equations:



Q2

Q3

Q4 Solve 4x^3 + 3x^2 - 16x - 12=0

Q5 Write down and simplify the first 5 terms of the binomial expansion (5x-3)^8.


Set B
All the questions are from your textbook.
ME 7 p. 161-163
Q1, Q2, Q8
ME 10 p. 217-219
Q1, Q2, Q6

Set C
All the questions are from your textbook.
ME 12 p. 268-271
Q3, Q8, Q11

RE5 p. 134-135
Q1, Q3, Q5

If you have difficulties solving the questions, please post your queries here.
I will try my best to answer your questions.
Please ask your questions by 20Dec so that I have time to answer.