Q&A - PSLE Math

[iCreative Math]

most welcome, mathnoonbs … keeping sending your questions … glad to share my methods particularly for challenging questions … i pity the 12 years old … P6 questions are so varied and hence more challenging … they need simplified structured models to help them re-produce the solutions under examination conditions.

[Oracle]

Hi, could someone help me with these questions please. Daughter’s tearing her hair out over them:


1. Mohan drove from Town A towards Town B at 9.50am. Half an hour later, Nora left Town B for Town A. Both of them reached their respective destinations at 10.50am. If Nora travelled at 20km/h faster than Mohan, find the speed of Nora.

2. Abel and Cain cycled from City Mall to East Mall at 11 km/h and 8 km/h respectively. Abel left City Mall an hour later than Cain. He arrived at East Mall 30 minutes earlier than Cain. How long did Abel take?

3. Ann left Town A for Town B. At the same time, Ben left Town B for Town A. Ann drove at an average speed of 72 km/hr while Ben drove at 56 km/h. Ann and Ben passed each other at a point 24 km from the mid point of Towns A and B. What is the distance between A and B?

I have 2 more but my eyelids are too heavy now to go on.

Thank you very much.

[speedmaths.012624com]

Oracle:

Hi, could someone help me with these questions please. Daughter's tearing her hair out over them:


1. Mohan drove from Town A towards Town B at 9.50am. Half an hour later, Nora left Town B for Town A. Both of them reached their respective destinations at 10.50am. If Nora travelled at 20km/h faster than Mohan, find the speed of Nora.

Hi Oracle,

Please see table below.
Can you follow?

Hope this helps.

speedmaths.com

http://i46.tinypic.com/xc5b12.jpg\">

.

[MathIzzzFun]

Oracle:

Hi, could someone help me with these questions please. Daughter's tearing her hair out over them:


2. Abel and Cain cycled from City Mall to East Mall at 11 km/h and 8 km/h respectively. Abel left City Mall an hour later than Cain. He arrived at East Mall 30 minutes earlier than Cain. How long did Abel take?


I have 2 more but my eyelids are too heavy now to go on.

Thank you very much.

Abel left 1 hour later than Cain and arrived 30 minutes earlier than Cain at East Mall, so Abel took 1.5h less than Cain to cycle from City Mall to East mall.

Abel's speed : Cain's speed = 11 : 8

Ratio of Abel's time: Cain's time (to cycle from City Mall to East mall)
= 8u : 11u

Since Abel took 1.5h less than Cain,
3u --> 1.5h
1u --> 0.5h

Total time taken by Abel to cycle from City Mall to East mall = 8 x 0.5 = 4h

cheers.

[MathIzzzFun]

Oracle:

Hi, could someone help me with these questions please. Daughter's tearing her hair out over them:


3. Ann left Town A for Town B. At the same time, Ben left Town B for Town A. Ann drove at an average speed of 72 km/hr while Ben drove at 56 km/h. Ann and Ben passed each other at a point 24 km from the mid point of Towns A and B. What is the distance between A and B?

I have 2 more but my eyelids are too heavy now to go on.

Thank you very much.

Ann's speed : Ben's speed = 72 : 56 --> 9 : 7

When Ann and Ben passed each other,
Ann has travelled a distance of 9 units from Town A, and
Ben has travelled a distance of 7 units from Town B

Total distance between Town A and Town B --> 9 units + 7 units = 16 units

mid point between town A and town B
= 8 units from Town A
= 8 units from Town B

So, 1 unit --> 24 km
Distance between A and B = 16 x 24 km = 384 km

cheers.

[Oracle]

Thanks a lot MathIzzzFun and SpeedMaths (still up at 1:54am!!! Phew …)

Will show them to my daughter tonight and see if she is able to relate.

The other two questions:

Q4. Jeremy walks to school at an average speed of 4 km/h everyday. One day, after walking a distance of 1 km, he realised that his watch was slow. So he ran at a constant speed and managed to reach school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached school 5 minutes earlier. What was his running speed?

Q5. Mr Tan took 6 hours to travel from Town A to Town B. Mr Lim took 4 hours to travel from Town B to Town A. If both of them started travelling at 10 am, at what time did they pass each other?

Thank you.

[MathIzzzFun]

Oracle:

Thanks a lot MathIzzzFun and SpeedMaths (still up at 1:54am!!! Phew ...)

Will show them to my daughter tonight and see if she is able to relate.

The other two questions:

Q4. Jeremy walks to school at an average speed of 4 km/h everyday. One day, after walking a distance of 1 km, he realised that his watch was slow. So he ran at a constant speed and managed to reach school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached school 5 minutes earlier. What was his running speed?


Thank you.

For questions on speed, it is always good to draw a diagram ...



<-----------1 km ----------->
Home _____walk________X __________RUN_____________ School

Home _____RUN________X __________RUN_____________ School

Supposed Jeremy started running from point X which is 1 km from his house, we see that the time saved (5 minutes faster) if he had started running from the start is from running the first 1 km versus walking the first 1 km.

Time taken to walk 1 km = 1/4 h = 15 min
Time taken to run 1 km = 15 min - 5 min = 10 min

Jeremy's running speed = 1 km/ 10 min = 6 km/h

cheers.

[Oldschool]

Oracle:

Will show them to my daughter tonight and see if she is able to relate.

Hi,

There is an old article on speed by another forum user, which may offer some direction.

http://www.kiasuparents.com/kiasu/content/psle-math-tips-speed-questions

Other insight on speed, which you may find helpful, is also posted in this forum.

http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=976873#p976873

Regards

[MathIzzzFun]

Oracle:

Thanks a lot MathIzzzFun and SpeedMaths (still up at 1:54am!!! Phew ...)

Will show them to my daughter tonight and see if she is able to relate.

The other two questions:


Q5. Mr Tan took 6 hours to travel from Town A to Town B. Mr Lim took 4 hours to travel from Town B to Town A. If both of them started travelling at 10 am, at what time did they pass each other?

Thank you.

Time taken to travel the distance between A and B,
Mr Tan's time : Mr Lim's time = 6 : 4 = 3 : 2

Mr Tan's speed : Mr Lim's speed --> 2 : 3

When Mr Tan and Mr Lim passed each other,
Mr Tan has travelled 2 units from Town A, and
Mr Lim has travelled 3 units from Town B

Total distance between Town A and B = 2 units + 3 units = 5 units

Time taken for Mr Tan to travel 2 units = 2/5 x 6 h = 2.4h = 2h 24 min

10 am + 2h 24 min ---> 12.24pm

Mr Tan and Mr Lim passed each other at 12.24pm

cheers.

[Mary Joy]

Pls help me with this circle question…


two wheels with centres A and B are 641 cm apart.The radius of the small wheel is 7 cm.The ratio of the radius of the small wheel to the ratio of the big wheel is 1:3.Both the wheels are rolled in the inward direction until the centres are 113 cm apart. The two wheels need to make the same no of revolutions.

How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (take pi:3.14)