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Re: O-Level Elementary Math

Posted: Fri Apr 08, 2016 1:31 am
by Suz855
Need help with the following
A car and a motorcycle travelled from Bugis to Kallang and the speed-time graph of their journey is shown below. Both vehicles left Bugis together and took the same route. Find
(c) the time t at which the motorcycle overtook the car.
(You may assume that t > 2)

[img][IMG]http://i65.tinypic.com/6hny9d.gif[/img] [/img]

Re: O-Level Elementary Math

Posted: Sun Apr 10, 2016 4:19 pm
by questionable_i
Can anyone help me with these two questions?
1. It is given that O is the origin, A is the point (2,1) and B is the point (12,10).
(a) Find the equation of line AB
(b) A straight line l is parallel to the line AB and passes through the origin. Write down the equation of the line l

2. The coordinates of the point P and Q are (-2,7) and (3,-6) respectively.
(a) Find the equation of the line joining the points P and Q.
(b) Hence, find the coordinates of the point where the line PQ crosses the x-axis.

:thankyou:

Re: O-Level Elementary Math

Posted: Tue Apr 19, 2016 8:49 pm
by Jmaths.SG
questionable_i wrote:Can anyone help me with these two questions?
1. It is given that O is the origin, A is the point (2,1) and B is the point (12,10).
(a) Find the equation of line AB
(b) A straight line l is parallel to the line AB and passes through the origin. Write down the equation of the line l
Image

Re: O-Level Elementary Math

Posted: Tue Apr 19, 2016 8:51 pm
by Jmaths.SG
questionable_i wrote: 2. The coordinates of the point P and Q are (-2,7) and (3,-6) respectively.
(a) Find the equation of the line joining the points P and Q.
(b) Hence, find the coordinates of the point where the line PQ crosses the x-axis.

:thankyou:
Image

Re: O-Level Elementary Math

Posted: Tue Apr 19, 2016 9:22 pm
by Jmaths.SG
Suz855 wrote:Need help with the following
A car and a motorcycle travelled from Bugis to Kallang and the speed-time graph of their journey is shown below. Both vehicles left Bugis together and took the same route. Find
(c) the time t at which the motorcycle overtook the car.
(You may assume that t > 2)

[img][IMG]http://i65.tinypic.com/6hny9d.gif[/img] [/img]
Acceleration of MC
= 20/4
= 5m/s^2

At time = t,

Dist (Car)
= (1/2)(2)(20) + (t-2)(20)
= t-20

Dist (MC)
= (1/2)(acceleration)(t^2)
= (1/2)(5)(t^2)
= (5/2)t^2

When MC overtakes Car,

Dist (MC) = Dist (Car)

(5/2)t^2 = t-20
t^2 - 8t + 8 = 0

Using x = [-b +or- (b^2 - 4ac)^(1/2) ] / 2a

t = 6.83 (rounded to 2 dec places) or 1.17 (rounded to 2 dec places; rejected since t<2).

Ans: 6.83 sec

Re: O-Level Elementary Math

Posted: Fri Apr 22, 2016 9:24 pm
by KSP2013777
I need help for Question 7. Can somebody please help me.

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Thank you.

Secondary Maths Question

Posted: Thu Apr 28, 2016 7:46 pm
by sundarshoba
Please help to solve,
144 boys and 264 girls on a field trip to CC's were divided into the maximum no of teams, with each team having equal no of boys and girls. If each team visited a different CC, how many CC's were visited and how many members were there in a team? Thanks

Re: O-Level Elementary Math

Posted: Fri Apr 29, 2016 12:15 am
by Future Academy
KSP2013777 wrote:I need help for Question 7. Can somebody please help me.

Image

Thank you.
Hi see the solution in the photo.

Image

Please let us know if you need more support in Math or other subjects. Our academy have teachers from RGS/NYGH/ACJC/GEP/top schools, we are willing to help you!

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Re: Secondary Maths Question

Posted: Fri Apr 29, 2016 12:49 am
by Future Academy
sundarshoba wrote:Please help to solve,
144 boys and 264 girls on a field trip to CC's were divided into the maximum no of teams, with each team having equal no of boys and girls. If each team visited a different CC, how many CC's were visited and how many members were there in a team? Thanks

Hi Sundarshoba,

Please see the solution in the photo below.

Image

Please let us know if you need more help in this question or other Math questions. Our academy has ex teachers from RGS/NYHG/ACJC/GEP/other top schools teachers and we are willing to help.

For more information, please access: www.fa.edu.sg

Cheers!!

Re: O-Level Elementary Math

Posted: Sat Apr 30, 2016 10:06 pm
by KSP2013777
Thank you very much, Future Academy. Your working is very clear.