Tutor MathsGuru: Ask me for your burning Maths questions!
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YLH88:
Tap P + Tap Q -> 4 hours for 1 tank1) Tap P and Tap Q take 4 hours to fill a tank.
Tap Q and Tap R take 5 hours to fill the same tank.
Tap P and Tap R take 3 hours to complete the same task.
How long does it take to fill the tank if all 3 taps are running at the same time ?
Tap P + Tap Q -> 1 hour for ¼ of tank
Tap Q + Tap R -> 5 hours for 1 tank
Tap Q + Tap R -> 1 hour for 1/5 of tank
Tap P + Tap R -> 3 hours for 1 tank
Tap P + Tap R -> 1 hour for ⅓ of tank
Tap P + Tap Q + Tap Q + Tap R + Tap P + Tap R = 2 Tap P + 2 Tap Q + 2 Tap R = 47/60 of tank for 1 hour
Tap P + Tap Q + Tap R = 47/120 of tank for 1 hour
1 tank will take -> 120/47 h = 2 and 26/47 h to fill up if all 3 taps are running at the same time.
Note: Pls check if this answer is correct or not.YLH88:
30% of A = 40% of B+452) RGPS 2010 P6 Prelim paper 2 qn 18
There are more pupils in School A than School B.
30% of the pupils in School A is 45 more than 40% of the pupils in School B.If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B.
(a) How many pupils are there in School B ? (ans : 1200)
(b) How many percent less pupils are there in School B than School A ? Leave your answer as fraction in the simplest form. (ans : 31 3/7)
100% of A = 40/30x100% of B + 45/30x100 = 400/3% of B + 150
Remaining pupils in School A:
90% of 400/3 % of B + 90% of 150
120% of B + 135
New number of pupils in School B:
10% of (400/3%of B + 150) + 100% of B
340/3% of B + 15
120% of B + 135 = 340/3% of B + 15 + 200
20/3% of B = 80
100% of B = 80x3/20x100 = 1200
(a) Number of pupils in School B = 1200
School A -> 400/3% of B + 150 = (400/3x1200)/100 + 150 = 1750
Difference = 1750-1200 = 550
550/1750x100% = 31 and 3/7%
(b) The percent less pupils in School B than School A = 31 and 3/7%
Pls wait for Uncle Dharma/Uncle Tianzhu and others for better methods to solve this question.
Thanks. -
YLH88:
Hi,Hi all,
Need help with the below maths questions :
1) Tap P and Tap Q take 4 hours to fill a tank.
Tap Q and Tap R take 5 hours to fill the same tank.
Tap P and Tap R take 3 hours to complete the same task.
How long does it take to fill the tank if all 3 taps are running at the same time ?
Thank you very much!
Where did this question come from?
Using a method that avoids fractions in the working:
In 60 hours,
Tap P and Tap Q can fill up 15 tanks
Tap Q and Tap R can fill up 12 tanks
Tap P and Tap R can fill up 20 tanks
2P and 2Q and 2R can fill up 15 + 12 + 20 = 47 tanks
P and Q and R can fill up 47/2 = 23.5 tanks
To fill up one tank,
P and Q and R will take 60/23.5 or 120/47 or 2 26/47 hours -
YLH88:
Hi YLH88,2) RGPS 2010 P6 Prelim paper 2 qn 18
There are more pupils in School A than School B.
30% of the pupils in School A is 45 more than 40% of the pupils in School B.
If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B.
(a) How many pupils are there in School B ? (ans : 1200)
(b) How many percent less pupils are there in School B than School A ? Leave your answer as fraction in the simplest form. (ans : 31 3/7)
Could you pls help me to post 3 questions with diagrams from 2010 P6 Prelim from top schools? My access to Flickr has problem and I am trying to use other website to upload diagrams/pictures. These 3 questions are interesting and hope that Uncle Dharma/Uncle Tianzhu etc can rope in their help to solve:
1. Nanyang Primary School P6 Prelim 2010 Maths paper 2 Q18 [5 marks]- To find area of the shaded parts. Answer given is 9.12 cm²
The figure below is created using the curved lines (arcs) of quadrants with radius 1 cm, 2cm and 3 cm. Find the area of the shaded parts. (Take pie as 3.14)
2. Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q15 [4 marks]-Speed question.
There are 30 steps between Levels 5 and 6. A toy robot takes 13⅓ seconds to move up 20 steps if it moves up the first 10 steps at its highest speed and the next 10 steps in its lowest speed. It will take 14 seconds to reach Level 6 from Level 5 if it moves up the first 24 steps at its highest speed and the next 6 steps at its lowest speed. Find the shortest time it will take to reach Level 6 from Level 5.
Answer Given : 10 seconds
3. Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q18 [5 marks]-Speed question.
Tom is travelling on a bus that is moving at a uniform speed of 30 km/h. If he alights at Bus Stop A, he will walk home by Route A which is 800m away from his flat. He can also alight 1 km down the road at Bus Stop B and take the 730 m Route B home. If Tom walks at a uniform speed of 40 m/min, find:
(a) the difference in time when he alights at the two different bus stops.
(b) the earliest time he can reach home if he boards the bus from the interchange 20 km away at 1305.
Answers given: (a) 40 min (b) 1405
Without the diagram/picture posted for these 3 questions, it's impossible to solve them at all. Pls help to upload these diagram/picture.
Thanks in advance. -
favianboy:
Hi favianboy,2 candles A & B, A is fatter and takes 5 hours to burn. B is thinner and takes 4 hours to burn. They are the same height. At which point A is twice the height of B.
Pls help
Could you advise the source of your question? Seems to be incomplete and in summarised form.Your question is similar to the River Valley Primary School P6 Prelim Maths 2010 Paper 2 Q17 [5 marks] :
Candle A and candle B are of the same length. Candle A, which is broader, can burn for 5 h while Candle B, the thinner candle, can burn for 4 h. If both candles are lighted at the same time, how long does it take for Candle A to be twice as long as Candle B?
Answer : 3⅓ hours
PS : A similar question with some changes in the numbers (posted by http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=280&postdays=0&postorder=asc&start=1530 on 15 Aug 2010 had been solved and solution provided by Uncle Tianzhu in KSP forum.Refer to http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=280&postdays=0&postorder=asc&start=1540 dated 18 Aug 2010 and adapt the solution to your needs. -
Vanilla Cake:
Hi YLH88,YLH88:
2) RGPS 2010 P6 Prelim paper 2 qn 18
There are more pupils in School A than School B.
30% of the pupils in School A is 45 more than 40% of the pupils in School B.
If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B.
(a) How many pupils are there in School B ? (ans : 1200)
(b) How many percent less pupils are there in School B than School A ? Leave your answer as fraction in the simplest form. (ans : 31 3/7)
Could you pls help me to post 3 questions with diagrams from 2010 P6 Prelim from top schools? My access to Flickr has problem and I am trying to use other website to upload diagrams/pictures. These 3 questions are interesting and hope that Uncle Dharma/Uncle Tianzhu etc can rope in their help to solve:
1. Nanyang Primary School P6 Prelim 2010 Maths paper 2 Q18 [5 marks]- To find area of the shaded parts. Answer given is 9.12 cm²
The figure below is created using the curved lines (arcs) of quadrants with radius 1 cm, 2cm and 3 cm. Find the area of the shaded parts. (Take pie as 3.14)
2. Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q15 [4 marks]-Speed question.
There are 30 steps between Levels 5 and 6. A toy robot takes 13⅓ seconds to move up 20 steps if it moves up the first 10 steps at its highest speed and the next 10 steps in its lowest speed. It will take 14 seconds to reach Level 6 from Level 5 if it moves up the first 24 steps at its highest speed and the next 6 steps at its lowest speed. Find the shortest time it will take to reach Level 6 from Level 5.
Answer Given : 10 seconds
3. Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q18 [5 marks]-Speed question.
Tom is travelling on a bus that is moving at a uniform speed of 30 km/h. If he alights at Bus Stop A, he will walk home by Route A which is 800m away from his flat. He can also alight 1 km down the road at Bus Stop B and take the 730 m Route B home. If Tom walks at a uniform speed of 40 m/min, find:
(a) the difference in time when he alights at the two different bus stops.
(b) the earliest time he can reach home if he boards the bus from the interchange 20 km away at 1305.
Answers given: (a) 40 min (b) 1405
Without the diagram/picture posted for these 3 questions, it's impossible to solve them at all. Pls help to upload these diagram/picture.
Thanks in advance.
Hi Vanilla Cake,
I'm not able to draw the 1st diagram from Nanyang paper, also I do not have a scanner at home, so can't post the diagram. Any one able to help ? The diagram sure looks complicated
But I managed to draw the 2 diagrams from Maha Bodhi questions and uploaded here for reference :
2) Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q15
http://www.postimage.org/image.php?v=aVy7AiA
3) Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q18
http://www.postimage.org/image.php?v=aVy7MMi -
Hi Vanilla Cake, speedmaths.com
Thanks for the solution!! -
YLH88:
Hi YLH88,Hi Vanilla Cake,
I'm not able to draw the 1st diagram from Nanyang paper, also I do not have a scanner at home, so can't post the diagram. Any one able to help ? The diagram sure looks complicated
But I managed to draw the 2 diagrams from Maha Bodhi questions and uploaded here for reference :
2) Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q15
http://www.postimage.org/image.php?v=aVy7AiA
3) Maha Bodhi School P6 Prelim 2010 Maths paper 2 Q18
http://www.postimage.org/image.php?v=aVy7MMi
Thks for your time and effort. Good news! Some of these P6 Prelim 2010 Maths questions from top schools had been answered by http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=280&postdays=0&postorder=asc&start=1680 from page 169 onwards and http://psle2010a.blogspot.com/.
Hi Uncle Tianzhu/Uncle Observer,
I hope that both of you are reading my message. I want to say a big thank you for your time and effort in helping P6 students and upcoming P6 students (My P5 younger sister) in handling the dreadful cum fearful PSLE Maths exams. -
Dear all, pls help me to understand this qn…
TIA.
20% of John’s savings was $120 more than 30% of Brian’s savings. After John spent 5/6 of his savings and Brian spent 1/6 of his savings, John had $20 more than Brian. Find the savings of John at first.
Although I have the answer key… I cannot understand how it worked out.
Pls help… Thank you very veyr much -
little_twin_stars:
John’s savings = 30uDear all, pls help me to understand this qn....
TIA.
20% of John's savings was $120 more than 30% of Brian's savings. After John spent 5/6 of his savings and Brian spent 1/6 of his savings, John had $20 more than Brian. Find the savings of John at first.
Although I have the answer key... I cannot understand how it worked out.
Pls help... Thank you very veyr much
Brian’s savings = 30p
20% of 30u = 30% of 30p + $120
6u = 9p + $120 ------------- ( 1 )
(5/6 x 30u) – (1/6 x 30p) = $20
25u – 5p = $20 -------------- (2)
You have 2 equations and 2 unknowns; you can solve the qn
John’s savings ate first = 30u = 30 x ? -
Thanks…
but call me dumb, ignorant… but why 30u and 30p?
The simultaneously equation part I understand liao… but
haiz…
help …
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