A WHITE GROUP MATHEMATICS SUPPLEMENTARY WEBSITE

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Ram Sah

8:03 PM on February 14, 2014

thank u very much for your great work i m grateful to u n salute you plz keep it up

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aimen

2:26 PM on December 8, 2013

I can't even believe i found this .. Pure treasure this is .. Thankyou soo much for this may god bless you and give you all the happiness of this world and the hereafter! Ei will be even more greatfull if you inlude summaries. And supplements for co ordinate geometry, discrete ramdom variable and quadratics.. tysm again

Hi Oliver, appreciate your encouraging comments. This site will be up and running as long as I am around. Peace.

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Oliver

10:01 AM on November 10, 2013

I found your notes very useful, please keep this site up for all the other students who need help. Thanks

Hi Ryan, thank you for your kind words.

Regarding your PnC question, I will get you started off:

Because the 5 blocks are distinctly labelled, despite them being placed in a circular fashion, permutation is conducted as if the blocks exist in a row format.

For (a), each of the five blocks can be painted a possible colour out of the available 4,

which means block A can be painted in 4 different ways, B can be painted in 4 different ways, ............. etc, ie this applies to the rest of the blocks. Hence total number of ways would simply be equal to (4)^5 =1024 ways (shown)

For (b), you may wish to consider the instances when both blocks A and B are painted with the same colour (try imagining them as a single unit to simplify matters), and subtract the possible number of ways this can happen from the answer you have in (a).

For (c), consider the total number of cases involved in situations where only 1, 2 or 3 colours are used in painting the blocks. (For example, when 1 colour is used for all 5 blocks, there are only 4 possible scenarios ). Once you have that, subtract this total from the answer in (a).

Hope this helps. Peace.

Regarding your PnC question, I will get you started off:

Because the 5 blocks are distinctly labelled, despite them being placed in a circular fashion, permutation is conducted as if the blocks exist in a row format.

For (a), each of the five blocks can be painted a possible colour out of the available 4,

which means block A can be painted in 4 different ways, B can be painted in 4 different ways, ............. etc, ie this applies to the rest of the blocks. Hence total number of ways would simply be equal to (4)^5 =1024 ways (shown)

For (b), you may wish to consider the instances when both blocks A and B are painted with the same colour (try imagining them as a single unit to simplify matters), and subtract the possible number of ways this can happen from the answer you have in (a).

For (c), consider the total number of cases involved in situations where only 1, 2 or 3 colours are used in painting the blocks. (For example, when 1 colour is used for all 5 blocks, there are only 4 possible scenarios ). Once you have that, subtract this total from the answer in (a).

Hope this helps. Peace.

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Ryan

2:25 AM on March 5, 2013

Hi i just happened to chance upon your site, and I think you have very good notes, which express clarity.

I happen to have a PnC questions, which I have been pondering over the last few days, but still can't seem to solve. (I am those kind that will keep thinking until I get an ans. So when I don't, it gets kinda frustrating ;( ) I really hope you can provide some insights.

Qn:

A developer has recently completed a condo project. There are five blocks A, B, C, D, E (they are arranged in a circle).

The developer has four colours available to paint the buildings. Each block can only be painted using a single colour. Find the number of ways to paint all the five blocks if

a) there are no restrictions

b) block A and B cannot be painted with the same colour

c) all four colours must be used.

I happen to have a PnC questions, which I have been pondering over the last few days, but still can't seem to solve. (I am those kind that will keep thinking until I get an ans. So when I don't, it gets kinda frustrating ;( ) I really hope you can provide some insights.

Qn:

A developer has recently completed a condo project. There are five blocks A, B, C, D, E (they are arranged in a circle).

The developer has four colours available to paint the buildings. Each block can only be painted using a single colour. Find the number of ways to paint all the five blocks if

a) there are no restrictions

b) block A and B cannot be painted with the same colour

c) all four colours must be used.

Hi Anna, unfortunately the H1 and H2 standards are vastly different as far as pure math content is concerned. A lot more calculus, vectors and also complex numbers stuff are involved for the H2 syllabus. If you want a number to quantify things, I would say around 30-40% more material.

Truth be told, H1 maths is a lot easier than A maths. However, you may be placed at a disadvantage when applying for science-based university courses in the future. That aside, H1 maths on its own is hardly valuable given tons of students take up the harder H2 version and excel in it.

The "Practice makes perfect" adage isn't untrue, then again if you don't have a strong foundation, doing loads of prelim papers will only leave you frustrated and exhausted, with nothing to show for at the end of the day. Working religiously on solidifying your basics comes before anything else, period.

Hope this helps. Good luck. Peace.

Truth be told, H1 maths is a lot easier than A maths. However, you may be placed at a disadvantage when applying for science-based university courses in the future. That aside, H1 maths on its own is hardly valuable given tons of students take up the harder H2 version and excel in it.

The "Practice makes perfect" adage isn't untrue, then again if you don't have a strong foundation, doing loads of prelim papers will only leave you frustrated and exhausted, with nothing to show for at the end of the day. Working religiously on solidifying your basics comes before anything else, period.

Hope this helps. Good luck. Peace.

Reply
anna

7:58 PM on November 17, 2012

Hi i just happened to chance upon your site, you have many good comprehensive

maths resources

hmm im a student whom had taken h2 maths this year, however im planning to drop h2 maths and change to h1 maths, so while i noted that you only provide h2 maths resources here, im wondering whether you know how different is h1 from h2 too? This is because i felt that h2 was too big a jump from amaths.. so im thinking, is h1 topics just amaths concepts, but with stats(new topics?) Will A be attainable by practising? (Recommended to do sch prelim papers or tys topic or full paper)

maths resources

hmm im a student whom had taken h2 maths this year, however im planning to drop h2 maths and change to h1 maths, so while i noted that you only provide h2 maths resources here, im wondering whether you know how different is h1 from h2 too? This is because i felt that h2 was too big a jump from amaths.. so im thinking, is h1 topics just amaths concepts, but with stats(new topics?) Will A be attainable by practising? (Recommended to do sch prelim papers or tys topic or full paper)

Whitecorp:

Thanks. I had already share it. I also posted it to the STEM Coalition Members' Group in "FaceBook", and with colleagues in Puerto Rico. My respects again filled with peace. Have a nice day you too...

Thanks. I had already share it. I also posted it to the STEM Coalition Members' Group in "FaceBook", and with colleagues in Puerto Rico. My respects again filled with peace. Have a nice day you too...

Hi Dr Jose Wong, greatly appreciate your positive words. Would be cool if you can share the URL of this site with your students, hopefully they would find my stuff useful. Have a good day and take care Peace.

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