Hi boys and girls,

Last post for this blog...

The tentative timetable for 2009 is out. You can download it from
http://rapidshare.com/files/178153007/2009_term_1_class_timetable.pdf.html

Please remember to complete your homework by 1st day of school.. submit it to your new Mathematics teacher, not Additional Maths teacher.

All the best in your Upper Secondary life. Remember, stay hardworking. :) Feel free to see me if you need any help. Cya!

Hi 2e2,

Finally the exams are over! And ya, I've finished marking your scripts.

Well done? I would say some of you are much more careless this time round. Is it because of the exam setting, that's why you get so tensed up?

From your scripts, i can see that some of you really put in a lot of effort this time round and I really appreciate it! However, do remember that Maths is not something that you can always study at the very last minute. Perhaps for now, you feel that it is very easy to catch up even if you study at the last minute, things will definitely not be the same when you go Upper Secondary. Consistent effort is definitely essential for good grades.

Alright, 36 passes from your class, MSG 3.08. We have 13 A1s and 9 A2s, a total of 22 distinctions. :) Well done but can be even better!!

Top scorer.... Well, this is the FIRST time HE top the class for major Maths examinations. HE got more than 90%. Make a guess.. :)

Pupils who have improved tremendously from CT 2 to EOY
- Nicole, Wee Nee & Hariz - Congrats!!

To Andrew, no worries, you've passed. However, you deserve a better grade. So practise more Maths during the holidays k? :)

Alright, i wont be able to go through the scripts with you on Thursday :(. On 22nd, i will be acompanying your class to the TP workshop. In the bus, i will let you know your overall ranking in the class [for maths] if you wish to know! :)

Hi 2e2,

4 more days left for your Maths revision! For those who havent been checking my locker recently, Worksheet 18 19 20 and 21 are all out.

Just a review to all the Reflections done after your MYE, many of the students [who did well] mentioned that they REDO the worksheets. This is a very good form of practice for Maths.

Give it a try... you may find yourself scoring way higher!

All the best to you!! Remember our target... Distinction!!

Regards
Miss Gina

Dear 2e2,

EOY Rev WS 13, 14, 15 and 16 are out in my locker!

Regards
Miss Gina

Dear 2e2,

The following sets of optional papers are in my locker

- EOY Rev WS 11
- EOY Rev WS 12
- EOY Rev WS 13
- Quadratic Function (Problem Sum) Rev WS

The last one is a worksheet targetted only at problem sums involving quadratic equations. This is one topic which some of you have pointed out that you are weak at.

Please let me know what other topics are you weak at so that i can generate customised worksheets for you.

As there are onli around 20 odd sets of each rev ws, please kindly take only what you want. Thanks!

Regards
Miss Gina

Quiz of the day - By Nadiah

Four people have to cross a bridge... It's very dark and they only have one flashlight... They can't make it across without some light.

No more than two people can cross at a time.

Phil can cross the bridge in 1 minute.
Karen can cross in 2 minutes.
Stinky can cross in 5 minutes.
Bubba can cross in 10 minutes.

How can they all get across in 17 minutes?

Mensuration Videos

Hi class, before i go through the formulae of the volumes of cones, spheres and pyramids, here's some VERY USEFUL videos for you to see.

From these videos, you should be able to see the link between the link of the volumes of different figures. Hopefully these will help you better memorise the formulae!







DO you now have a better idea? Please leave your comments below. If videos are useful to some of you, i will try to post more videos to help you.

Regards
Miss Gina

A quiz from Thomas!

A spider accidentally fell into a dry well that is 15 m high . The spider would get climbing up the well each day. Each day the spider managed to climb 5 m. However the rain would come in the evening and wash down the spider 4 m. How long would it possibly take that miserable creature out of the well.

Answers please?? :)

Hi 2e2,

How's the Maths lesson today? Enjoyable?

Do you understand how the dot diagram works? Please post your doubts here, if any. :)

Remember, there is going to be a quiz this Thursday. The marks will go into Term 4's marks. Stay hardworking!!

Regards
Miss Gina

Dear 2e2,

The 3 quizzes' deadline has been extended to Sunday morning, 24th August 11am. Make sure you do them..

Algebra Quiz 1
Algebra Quiz 2
2E Graphs

Regards
Miss Gina

Haziqah presents...

Beauty of Mathematics !!!!!!!
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

Brilliant, isn't it? And look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

Thanks you for your contribution. Take this chance to further build up your knowledge on the word SYMMETRY.

Regards
Miss Gina

Hi 2e2,

Some of you have requested for extra questions on Probability.
Try them out!

1) A pouch contains 60 marbles - 34 are red, 21 are white and the remaining are blue. A marble is picked at random from the pouch.
What is the probability of picking a
(a) blue marble?
(b) red or blue marble?

Ans: (a) 1/12 (b) 13/20

2)A bag contained nine cards 1 to 9. One ball is drawn at random from the bag.
(a) List the elements of the sample space S.
(b) E is the event of drawing a multiple of 4. List the outcomes of E and state n(E).
(c) Find the probability of drawing a card which is a multiple of 4.
(d) Find the probabilty of drawing a card which is a prime number.

Ans: (a) S={1,2,3,4,5,6,7,8,9} (b) E={4,8} ; n(E)=2 (c) 2/9 (d) 4/9

3) A letter is chosen at random from the word "DIFFICULT". What is the probability that the letter chosen is a
(a) 'F'?
(b) a vowel?
(c) a consanant?
(c) a 'I' or a 'T'?

Ans: (a) 2/9 (b) 1/3 (c) 2/3 (d) 1/3

4) There are 26 white beads, 10 red beads and 4 orange beads in the box. One bead is chosen at random, find the probability that the bead chosen is an orange bead.

Ans: 1/10

5) There are 20 sticks in a container. 8 are green, 5 are red, 6 are black and the remaining are grey. John chose one stick at random. He picked a red one. After putting it aside, he chose one more stick at random. What is the probability that the stick chosen is a red one again?

Ans: 4/19

Hi class,

Some of you mentioned that you are not good with problem sums involving quadratic equations. Here's some questions for you to try out.

1) Damien is twice as old as his sister. The product of their ages will be 228 five years from now. Find Damien's age 3 years ago.

Ans: 11 years old

2) The area of a rectangular piece of land is 96 square metres. If its length is 4 m longer than its width, find the perimeter of the rectangle.

Ans: 40 metres

3) Find 2 consecutive positive even numbers such that the sum of their squares exceeds the product of the 2 numbers by 28.

Ans: 4 and 6

If you think that you need more practices on certain topics, please let me know.

Hi 2e2,

Below shows some of the questions set by your classmates!
Hope these questions help you in your revision.
Remember... go REDO Worksheets 1, 2 and 3 and i'm sure you can score better!

By Sofia
Q: Write down the equation of the line which cuts the y-axis at -3 and has a gradient of 4.
A: y = 4x - 3

Q: Find the eqn of the line which cuts the y-axis at y = 16 and passes through the points (-1,-4)
and (3,12).
A: y = 4x + 16

By Mifdhal
Q: Find the eqn of the line which has a gradient of 5, and cuts the x-axis and y-axis at x=6 and
y=10 repectively.
A: y = 5x + 10

By Wee Nee
Q: Find the equation of the line which passes through the points (2,7) and (0,5).
A: y = x + 5

Q: State the equation of the line on which the following points lie. GOOD QUESTION
(2,-2) , (3,-2) , (5,-2) , (8,-2) , (1/4,-2) , (0,-2)
A: y = -2

By Alryka
Q: Find the eqn of the line which cuts the x-axis at -16 and y-axis at 7, given that it passes
through the points (3,8) and (-4,-6).
A: y = 2x + 7

By Zi Qin
Q: Find the equation of the line which passes through (-4,0) and (0,8). GOOD QUESTION
A: y = 2x + 8

By Amirah
Q: The gradient of a linear function, y, of x is 0. Given that it passes through (1,2), write down
the equation of the function. GOOD QUESTION
A: y = 2

By Alicia
Q: x -2 0 4
y 3 6 -1
The table shows 3 ordered pairs that lies on the line. By using the information above, find the
eqn of the line. GOOD QUESTION
A: y = 1.5x+6 [you can also leave your ans as y = 3/2 x + 6; however, take note that the x is
either on top or in the middle, not in the denominator]

By Weilin
Q: Find the eqn of the line which cuts y-axis at -2 and passes through the points (4,12) and
(6,18).
A: y = 3x -2

By Michelle
Q: A line cuts the y-axis at 4 and x-axis at -7. Given that the line has a gradient of 2, find its eqn.
A: y = 2x+4

By Qian Hui
Q: Given that a line passes through (5,6) and (0,4), write down its eqn.
A: y = 0.4x + 4

By Olethea
Q: Given the line passes through (2,5), (3,4) and (0,7), find its eqn. GOOD QUESTION
A: y = -x + 7

By Thomas
Q: Write down the gradient of the line 3y - x = 25. GOOD QUESTION
A: 1

By Umar
Q: Given that a line passes through the points (0,0.5) and (1,5), write down its eqn.
A: y = 4.5x + 0.5

By Yi Sheng
Q: x 0 2 a
y 2 3 4 GOOD QUESTION
(i) Find the equation of the line.
(ii) Find the value of a.
A: (i) y = 0.5x + 2
(ii) a = 4

By Selina
Q: Express the equation 4x + 5y - 7 = 0 in the gradient-intercept form. GOOD QUESTION
A: y = 0.8x + 1.4 [you can leave the ans in fraction form too]

By Hervy
Q: x -1 0 1 2
y 0 -1 -2 -3
Express y as a function of x. GOOD QUESTION
A: y = -x - 1


Thank you for taking time to set the questions. I've seen some of you put in a lot of effort in doing this. Well done!!

The above questions are taken randomly... so it doesnt mean that if yours is not chosen, then you have no set a gd question. In fact, most of you have set very similar questions. If read through carefully even though you are the setter of the question because many of you gave me the wrong solution.

Here's some questions from me:

1) Write down the gradient and y-intercept of the line 6y+3x-18=0.
Ans: gradient = -0.5 , y-intercept = 3

2) Write down the gradient and y-intercept of the line 10=4x+6y.
Ans: gradient = -2/3 , y-intercept = 5/3 [pls change to mixed fraction]

3) Find the gradient of the line that cuts (1,3) , (-4,-7) and (4,9). Given that the line also passes
through (5,n), find the value of n.
Ans: gradient = 2 , n = 11

4) Find the eqn of the line that passes through the points (1,0) , (1,4) , (1,-5) and (1,-27).
Ans: x = 1


5) Find the eqn of the line that passes through the points (-3,4) , (-3,46) and (-3, -1).
Ans: x = -3

6) Find the eqn of the line that passes through the points (1,4) , (5,4), (3,4) and (-5,4).
Ans: y = 4

All the best!!

Answers to Chapter 6 Revision Worksheet 1

1) x = -3 or x = 2

2) x = -1/6 or x = 2/3

3) r = 1/2

4) y = 0 or y = 4

5) not taught yet

6) p = -4 or p = 5

7) x = 0 or x = 1.5

8) x = -9 or x = 9

9) x = 1/14 or x = -3

10) m = 4/3 [pls change it to mixed fractions] or m = -1/2

11) t = 0 or t = -2 or t = 2

12) x = 3/5 or x = -3

13) h = -6 or h = 4

14) p = 0 or p = 6

15) x = 2 or x = 5

16) h = 0 or h = 2

17) x = -2/3 or x = 1/2

18) x = -6 or x = 6

19) x = -2/3 or x = 6

20) x = 9 or x = -7

21) x = -1/2 or x = 3

22) x = -1.5

23) x = -3 or x = 1/2

24) x = 2 or x = 5

25) not taught yet

26) p = -2 or p = 2

27) p = 0 or p = -2/15

28) x = -2/5 or x = 4

29) x = 1/3 or x = -4

30) u = -2 or u = 2

31) x = 2 or x = -1

32) x = 5/3 [please change to mixed fractions] or x = -1/2

Hope you have got most of the questions right. Note that the test will be of a higher standard so i would suggest you to redo Worksheet 1 - 3 again as a form of revision!

Note that the Mode 22 function of the calculator is strictly meant for checking purposes... you still have to master the skill of solving quadratic equations.

Here's some common mistakes made...

** Some of you tend to divide both sides of the equation by the letter, for eg, divide by 2x or divide by x. You can divide both sides by a number, say 4, but not an alphabet. By dividing by x, you are actually rejecting one value of the final answer.

** Some of you tend to forget to equate one side of the eqn to 0. For instance, if we have x^2 -x = 6, we got to bring the 6 over to the left hand side so that the right hand side of the equation is 0.

** Another common mistake lies in the working of the cross factorisation.. for instance if we have x^2 - x - 6... in our cross factorisation working, we tend to write x instead of -x , or 6 instead of -6. So please be extra careful !!

** Say if we have 4x = 7, when we bring over the 4, it should be 7/4, not 4/7, not 7/-4. Take note!

** Remember that anything multiplied to 0 is still 0!!!!!

** If we have 7(x+1)^2, we always expand (x+1)^2 first then multiply it by 7. DO NOT multiply 7 in to get (7x+1) then square it. It's wrong!

Hope i have pointed out all common mistakes. If i have accidentally missed out your careless mistake, please do your peers a favour by posting it in the comments area so that all of us can learn together!!!

All the best for your test! 2E2, it's time to buck up and get ready for Common Test!! Really hope to see all of you improve!! :)

Regards
Miss Gina

Hi everyone!

It has been a tiring week for the performers! After a good rest, it's time to get back to your studies.

Pardon me for been naggy... please remember to complete Chapter 6 WS 3 as well as your Graph Plotting worksheet.

There's still a couple of you who have not attended the Graph Plotting lesson after school. I've conducted lessons for 4 or 5 afternoons so there should not be any reason why you have not attended. Tuesday 2.30pm will be the last slot. Please remind your friends.

Those who have not paid up for the graph books, please bring the money on Tuesday. If not, I guess it will be fair for you to get the book on your own.

I've done a Notebook checking session last Friday, so for those who did not pass the check, please get your resourceful notebook ready by Tuesday as well.

There'll be a test this coming Friday - Chapter 6 WS 1 - WS 3 work, which includes equation of straight lines, plotting of straight lines and solving quadratic equations. Please study hard and score for this test!!!!

I've set 2 quizzes in Ace-learning. Compulsory for all. Deadline will be Mid-August. In fact, the 3rd quiz [ on graphs ] is out too. Time for all of you to login!! The solution of each question will be displayed after you answered the question. If you got it wrong, please make sure you read through the solution and understand it. If you dont get it, kindly copy down the qn and soln, bring it to me and i will explain it to you. :)

In order for you to earn your participation marks, i'm requesting for some input from you. Please click on Comments and type in some tips you have in drawing the curve. You can type in certain advice if you have. This will help your peers in their graph plotting too!

See you on Tuesday!

Regards
Miss Gina

Calculator Skills

I hope you still remember how to use calculator to check if your answers to the simultaneous equations are right!! For those who has forgotten, you can click Mode 20 and start keying in your values for x, y and constant. Note that the constant [that is, the number] should be on the other side of the equation alone.

We have just learnt how to solve quadratic equations via factorisation. Here's how you can check your answer by using calculators. Press Mode 22 this time round. The "a" stands for the coefficient in front of x^2 [that is, the number in front of x to the power of 2], "b" stands for the coefficient of x and c stands for the constant. Remember, you always have to shift everything to 1 side, making the other side having a value of 0 BEFORE keying in the coefficients in your calculator.

For instance, if we have x^2+x=6, we have to change it to x^2+x-6=0 first. Press Mode 22. a=1, b=1, c= -6. You will see x1=2, press =, and you will see the 2nd answer, x2= -3.

Take note that this is only for CHECKING PURPOSES. All workings are still required, omission of working will end up in a loss of marks!

If you are unable to perform the checking using your calculator, let me know! :)

Note this is only for SHARP calculators!
If you know the way for CASIO, please post it in the comments and at the same time, earn your participation points!

Regards
Miss Gina

Dear 2e2,

Dont forget to do your assignment!!!

For those who has forgotten what is it about, here's some info.

Imagine you are the teacher now! Set 3 to 5 questions for your students to practise for their coming test. The topic with be on Equation of straight lines. [ Remember, we always represent straight lines in the form of y = mx+c. ]

Anything to refer to? Well, you can always refer to the thick stack of worksheets.. worksheet 1 has couple of examples. Your notebook should also contain some questions. Textbooks, assessment books as well as Ace-learning are also good sources of reference! [please do not copy]

Here's an example of a simple question...
Given that a line has a gradient of 5 and cuts y-axis at y = -2, write down the equation of the line.

A more difficult question will be something like this...
Given that a line passes through the points (0,4) and (1,6), write down its equation.

You can also try out tricky questions like ...
A line passes through (1,2) and (3,4). It cuts the x-axis and y-axis at x=-1 and y=1 respectively. Find the equation of the line.

There are many other types of questions available in the sources i mentioned above, please go through them.

Now, of course, after you set the questions, please provide me the workings and solutions. Please be neat, as neat as possible. You can decorate the paper if you want to.

After marking your assignment, i will type all questions in this blog and your peers will have the luxury of trying out 100 other questions. With such resources, those who try will definitely build a strong foundation on finding equations! IF you do not wish to share your questions, please let me know, i will respect your decision. :)

If you have any queries, please ask me via the blog. Thanks!

Reminder: Your homework is to be submitted to Zi Qin on Monday, even though there is no Maths. Assignment is due Tuesday, also to Zi Qin. I will check everyone's notebook on Wed, so please transfer all your notes to the book.

Hi 2e2,



The new timetable takes effect from 23rd Jun [Mon] onwards. Please visit the school website to download the timetable. Somehow i'm unable to upload to the blog.

Good news! There's no maths on Monday! But it is okay.. you will get to see me 4-6 times a week! Anyway.. i guess you know what i want to say. Holiday homework. You shall hand it in on Tuesday... please remind all your friends to finish up on their own by Monday so that we can have a nice happy enjoyable lesson on Tuesday.

Our 1st chapter will be Chapter 6 which involves drawing of graphs. A curve ruler is not compulsory, however, if you think u will draw a smoother curve with a curve ruler, please get it within the 1st week of school. I will be giving you many curves for you to practise the sketching of a curve.

You need not buy graph papers for the time being. Each of you will get a graph book so that it is more convenient. Zi Qin will collect the money from you and get them from the school bookshop.

See you SOON!!

Regards
Miss Gina

*PS: Dear Boys, please get your hair cut! And to all of you, there will be a spotcheck on Monday and you will also be taking your class photo on that day. Please be presentable.

Dear 2E2,

It's time for Maths practice! As part of your revision, there may be a test based on previous chapters. Hence, to ensure that you score well, here's some exercises that may benefit you.

June Extra Prac 1

June Extra Prac 2

For those who have unfortunately lost the 2nd set of the Maths holiday homework... here's a softcopy for you.

Holiday Homework Set 2

Please hand in both sets of holiday homework on Monday 23rd June, regardless if there's Maths lesson or not.