Q&A - PSLE Math

[Vanilla Cake]

leesf:

Hi, appreciate your help on this Red Swastika 2009 CA1 question.


http://www.postimage.org/image.php?v=aVulXk9

W : X
1 : 4

X : Y
5 : 7

W : X : Y
5 : 20 : 28

W+Y is half the rectangle ie X+Z is the other half
Z = (28u+5u)-20u = 13u
13u -> 52
u -> 4
66u -> 264

Area of rectangle PQRS = 264 cm²

Hi leesf,
Have you bought the 2010 P6 Prelim Maths papers from top schools?

[leesf]

Thanks Dharma & Vanilla cake for the solutions. No, I did not get the 2010 papers. Its only a month a way from PSLE. I’m letting my son to revise those questions which he tends to make mistakes.

[Vanilla Cake]

leesf:

Thanks Dharma & Vanilla cake for the solutions. No, I did not get the 2010 papers. Its only a month a way from PSLE. I'm letting my son to revise those questions which he tends to make mistakes.

Just for info:
Some of these P6 Prelim 2010 Maths questions are pretty interesting and definitely worth a try. These schools are :

1. Raffles Girls' Primary School
2. Singapore Hokkien Huay Kuan - 5-school combined: Tao Nan, AI Tong, Chongfu, Nan Chiau and Kong Hwa
3. CHIJ St Nicholas Girls' School (Primary)
4. River Valley Primary School
5. Nanyang Primary School
6. Maha Bodhi School
7. Rosyth School
8. Pei Chun Public School
9. Red Swastika School
10. Henry Park Primary School

Sad that top schools like ACS (P), Methodist Girls' (P), Nan Hua, Catholic High, Pei Hwa, Rulang, Singapore Chinese Girls' etc are not included.

[tianzhu]

Hi

Hope this helps.

Best wishes

http://farm5.static.flickr.com/4091/4970922250_f59c3c6ce1_b.jpg\">

[Vanilla Cake]

Dear Uncle Tianzhu,


Thks for your prompt response. There are quite a number of questions in the set of 10 schools for P6 Prelim 2010 top schools that comes with diagrams. Some of these questions are pretty unusual and not like the usual ones that I took PSLE Maths in 2008. It's getting more and more difficult to ace,score well or aiming for a pass in upcoming PSLE Maths.Fear for the worst for my younger sister who is taking PSLE Maths 2011. And why don't someone write to MOE/SEAB to create a new subject called Higher Mathematics for those Maths talented P6 students/GEP to take just like Higher Chinese/Malay/Tamil.Getting distinction in Higher Maths will make them proud but this result will not be included in PSLE T-Score.Pls do not continue to raise the level of difficulty for upcomng PSLE Maths exam.

Oh yes, just want to check with you, other than Yahoo http://www.flickr.com/, where can I upload pictures/diagrams?

[tianzhu]

Hi VC


I think you can also upload at Photobucket
and Picasa (Google)

Best wishes

[tianzhu]

Nanyang P6 Prelim 2010 P2: Q10. Kingsley planned to cycle from Town P to Town Q. If he were to cycle at 10 km/h, he would reach Town Q at 7.45 p.m. If he were to cycle at 12 km/h, he would reach Town Q at 7.15 p.m. What was the distance between Town P and Town Q? [3 marks][Answer given: 30 km]


Hi
Hope this helps.

Speed --- 12:10 ------ 6:5
Time --- 5:6
1 unit -----1/2h (30mins)
5 units ------ 5/2 h
Distance between P and Q -------5/2*12 -------30km

Best wishes

[tianzhu]

SHHK P6 Prelim 2010 P2

Q15: A car and a van started travelling from Town X to Town Y at the same time. The distance between the two towns was 225 km. Both vehicles did not change their speed. The car arrived at Town Y ¾ h earlier than the van. When the car reached Town Y, the van was still 45 km away from Town Y. What was the speed at which the car was travelling [4 marks][Answer given: 75 km/h]
Hi

Hope this helps

Consider the van first
Distance ------45
Time ------- ¾
Speed of van ------- 60km/h

Time taken by van to travel 225km
225/60 ------- 3 3/4h (3.75h)

Therefore the car took 3h to travel 225km
Hence, speed of car -------225/3 -------75km/h

Best wishes

[tianzhu]

CHIJ St Nic P6 Prelim 2010 P2

Q15: Kitty Town and Melody Town are 234 km apart. Danny left Kitty Town for Melody Town at 8.42 a.m. travelling at an average speed of 85 km/h. At the same time, Jasmine left Melody Town for Kitty Town. They met each other at 10.30 a.m. (a) What was Jasmine’s average speed when she met Danny? (b) If Jasmine were to increase her speed by 26 km/h before meeting Danny, how much less time would she take before meeting him? [4 marks][Answer given: 45 km/h, 18 min]

Hi
Hope this helps

a)Time ------ 1h 48min ------I 4/5h
Distance travelled by Danny ------85*9/5 ------ 153km

Distance travelled by Jasmine ------234 -153 ------81km
Speed of Jasmine --------81/ 9/5 ---------45km/h

b)If her speed is increased to 71km/h (45+26)

Time taken by Jasmine ----- 234/(71+85) ------1.5h

Therefore she took 18 min less (1h 48min minus 1 h 30min)

Best wishes

[tianzhu]

Rosyth P6 Prelim 2010 P2

Q17: A tour bus which left Kuala Lumpur at 10.30 a.m. was scheduled to reach Singapore by 5 p.m. After travelling for 2 hours at its usual speed, the bus stopped for 30 minutes due to some problems. In order to reach Singapore punctually, the bus increased its speed by 8.5 km/h. Given that the bus took 4 hours to complete the rest of the journey, find the distance between Kuala Lumpur and Singapore.[5 marks][Answer given: 442 km]

Hi
Hope this helps

Original time from KL to Singapore ----- 6.5h

Consider the second half of journey

Time ------- 4: 4.5 ------- 8:9
Speed -------9:8

1 unit -----8.5km/h
8 units ------ 68 km/h

Distance between Kuala Lumpur and Singapore ------68*6.5 ----- 442km

Best wishes