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Nairaland Forum / Nairaland / General / Education / Nairaland Mathematics Clinic (494026 Views)
Mathematics Clinic / 2015 Cowbell Mathematics Champion, Akinkuowo Honoured By School. / Lead City University Clinic Welcomes First Ever Baby Since 10 Years Of Opening (2) (3) (4)
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Re: Nairaland Mathematics Clinic by Nobody: 10:56am On May 05, 2017 |
naturalwaves: lol i will paste one this weekend. |
Re: Nairaland Mathematics Clinic by naturalwaves: 2:00pm On May 05, 2017 |
masperano:okay. Will be looking forward to it. |
Re: Nairaland Mathematics Clinic by Nobody: 6:02pm On May 05, 2017 |
naturalwaves: check these ones out... one is quite easy to do.
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Re: Nairaland Mathematics Clinic by naturalwaves: 7:13pm On May 05, 2017 |
masperano:Hahahah. Una no go kill person sha. Will try them once I am free. That ball looks like something that's going to be used for Russia 2018. |
Re: Nairaland Mathematics Clinic by naturalwaves: 8:55pm On May 05, 2017 |
masperano:I just solved the circular one. I got 1008m2. I embedded a square in between the shapes and took it out from the big circle along with 4 resultant semi- circles. See solution below. Sorry about the poor image. PS: Why don't you normally put units in your questions? 1 Like
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Re: Nairaland Mathematics Clinic by Olive33: 3:24am On May 06, 2017 |
masperano:pls show me the solving .. Thanks |
Re: Nairaland Mathematics Clinic by Nobody: 5:58am On May 06, 2017 |
Olive33: Note in question 3 I made a mistake I swapped intersection symbol for union symbol. It is suppose to be N (E n C)+N (E n B)+N(B n C).
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Re: Nairaland Mathematics Clinic by Nobody: 6:02am On May 06, 2017 |
naturalwaves: Yea that is correct. Lol on the units...(u must be an engineer: they are usually obsessed with units), that's how it is in the question: usually dimensionless. |
Re: Nairaland Mathematics Clinic by naturalwaves: 7:30am On May 06, 2017 |
masperano:A computer scientist actually. I am on my way for a seminar, will solve the second one when I get back. The questions require creativity. One needs to always reconfigure them and see how the shapes can be redrawn or manipulated. I guess this is what is being tested over there and it is good for children to have that kind of skill at that age. I am not really a fan of geometry and mensuration but your questions are making me think. Thanks. |
Re: Nairaland Mathematics Clinic by Nobody: 8:09am On May 06, 2017 |
naturalwaves: Oh really that is interesting. Yea Asians are pretty good in maths because of the rigorous training they undergo right from when they are kids 1 Like |
Re: Nairaland Mathematics Clinic by Olive33: 8:34am On May 06, 2017 |
masperano:thanks bro .. |
Re: Nairaland Mathematics Clinic by Engrcharlesid(m): 1:09pm On May 07, 2017 |
masperano:d second one
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Re: Nairaland Mathematics Clinic by Nobody: 5:39pm On May 07, 2017 |
Engrcharlesid: Nice one mate |
Re: Nairaland Mathematics Clinic by DBright123(m): 7:34pm On May 10, 2017 |
Great work you guys are doing in here. Please I need assistance with this trigonometry question. 1. Prove Sec square theta -Cosec square theta =1 OR Cosec square theta -Sec square theta =1 2. Prove that Sin square theta +Cos square theta =1 I will appreciate your response great minds |
Re: Nairaland Mathematics Clinic by Nobody: 7:50pm On May 10, 2017 |
Eiiii I hate maths ehnnnnn |
Re: Nairaland Mathematics Clinic by Ebookmathswaec: 8:00pm On May 10, 2017 |
Re: Nairaland Mathematics Clinic by DBright123(m): 2:56pm On May 14, 2017 |
DBright123: masperano inschool et al |
Re: Nairaland Mathematics Clinic by Usernamesucks: 4:33pm On May 14, 2017 |
DBright123:
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Re: Nairaland Mathematics Clinic by inschool(m): 5:25pm On May 14, 2017 |
DBright123:sorry am just seeing this... is your problem solved? |
Re: Nairaland Mathematics Clinic by inschool(m): 5:37pm On May 14, 2017 |
DBright123:review your question one |
Re: Nairaland Mathematics Clinic by Icosahedron(m): 8:39pm On May 14, 2017 |
Express sin(x−y) + sin(y−z) + sin(z−x)as a monomial |
Re: Nairaland Mathematics Clinic by agentofchange1(m): 12:15am On May 15, 2017 |
*PUZZLE* In a company, each worker was given a key labelled either 01 or 02 or 03 or 04 or 05 or 06 or 07 or 08 or 09. Each worker has access to only one office according to his or her key. *QUESTION:* A newly employed worker with a key labelled 07 was sacked for missing the number of his office and you were employed and was given the same key to go to the office and if you miss the office, you are sacked, what's your office number? _HINT_ 1) A worker with a key labelled 04 has access to Office5 2) A worker with a key labelled 02 has access to Office5 3) A worker with a key labelled 06 has access to Office5 4) A worker with a key labelled 05 has access to Office1 5) A worker with a key labelled 01 has access to Office1 6) A worker with a key labelled 09 has access to Office1 _Only 2% of the earth can decipher this puzzle_ |
Re: Nairaland Mathematics Clinic by Olaoke16(m): 12:25am On May 15, 2017 |
agentofchange1:Office 1 immediately... Lol ![]() |
Re: Nairaland Mathematics Clinic by agentofchange1(m): 12:53am On May 15, 2017 |
Olaoke16: How? |
Re: Nairaland Mathematics Clinic by DrinkWater10: 3:06am On May 15, 2017 |
naturalwaves:Thanks for the good work. keep it up. Please kindly solve about two to three examples on definition of limits for me during your free time |
Re: Nairaland Mathematics Clinic by Olaoke16(m): 8:39am On May 15, 2017 |
agentofchange1: Odd label goes to office 1 while even label goes to office 5.... |
Re: Nairaland Mathematics Clinic by pauljustina(f): 7:47pm On May 15, 2017 |
pls the answer to this question is needed urgently with full solvings |
Re: Nairaland Mathematics Clinic by pauljustina(f): 8:00pm On May 15, 2017 |
Algebraic fractions
1.Dsquared-9/Dsquared-7d+12
2.15+2x-Xsquared/Xsquared-25
3.8-2a-Asquared/2Asquared-3a-2
4.(2m-u)squared-(m-2u)squared/5Msquared -5Usquared |
Re: Nairaland Mathematics Clinic by Icosahedron(m): 8:42pm On May 15, 2017 |
pauljustina: 1. (d² - 9)/(d² - 7d + 12) For the numerator, rewrite d² - 9 as d² - 3² factorize d² - 3² using the difference of squares method to get (d-3)(d+3) For the denominator, we factor d² - 7d + 12 as d² - 4d - 3d + 12. The method involved in the factorization above is looking for the factors of +12, that when added yields -7(which is -4 and -3) so from d² - 4d - 3d + 12, we get d(d- 4) -3(d-4) = (d-3)/(d-4) so adding our work, we get (d-3)(d+3)/(d-4)(d-3) as (d-3) cancels out, we get (d+3)/(d-4) as final answer 2. (15 + 2x - x²)/( x² - 25) Factoring completely, it is not difficult to see that 15 + 2x -x² = 15 + 5x - 3x - x² = 5(3 + x) -x(3+x) = (5-x)(3+x) Similarly, x² - 25 = x² - 5² = (x +5)(x-5) Hence we have (5-x)(3+x)/(x+5)(x-5) note that (5-x) = -(x+5) Hence -(x+3)/(x-5) is our final answr. 3. (8 -2a - a²)/(2a² - 3a -2) Solution we proceed as before, we factorize the numerator first. 8 - 2a - a² = 8 - 4a + 2a - a² = 4(2-a) +a(2-a) = (4+a)(2-a) And 2a² - 3a - 2 = 2a² - 4a + a - 2 = 2a(a-2) +1(a-2) = (2a+1)(a-2) Combining our work we get. (4+a)(2-a)/(2a+1)(a-2). notice that (2-a) = -(a-2), so (a-2) cancels out and we get. -(a+4)(2a+1) as our final answer. 4. 2m-u)squared-(m-2u)squared/5Msquared -5Usquared Or (2m - u)² - (m - 2u)²/(5m² - 5u²) factoring the numerator, using difference of two squares method, we get, (2m-u + m - 2u)(2m-u - m-2u) = (3m - 3u)= 3(m-u)(m+u) for the denominator, we get 5(m²-u²) = 5(m²-u²) = 5(m-u)(m+u) It is not difficult to see that, adding all these together, (m-u)(m+u) cancels out, hence 3/5 is our final answer. And I guess that settles it. |
Re: Nairaland Mathematics Clinic by DBright123(m): 10:48pm On May 15, 2017 |
inschool: one of them have been attended to by usernamesucks remaining one, as for the review that is the way the question was given or what do you think is the right question should look like? (usernamesucks your input is highly acknowledged and appreciated) |
Re: Nairaland Mathematics Clinic by Usernamesucks: 5:39am On May 16, 2017 |
DBright123: You're welcome. However I quite agree with inschool with respect to the first question (I could be wrong though). |
Re: Nairaland Mathematics Clinic by naturalwaves: 9:44am On May 16, 2017 |
Icosahedron:welldone. Not so easy typing out. |
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