Oct 11, 2009

PSLE 2009: PSLE Maths - some of the questions

http://psle2009.blogspot.com/2009/10/psle-maths-some-of-questions.html

PSLE Maths - some of the questions



The above figure is a square. The angle question answer above is 150 degrees. Because the bottom triangle is equilateral triangle. (draw a circular curve through all 3 lines and they become the radii of the incomplete circle otherwise known as the arc)
360 - 60 = 300 degree
300 degree / 4 = 75 degree
75 degree x 2 = 150 degree

6 friends decided to rent computers from 2pm to 4.30pm. While 4 of them were playing, the other two would watch. If the cycle continues, and each of them played for equal number of minutes, how many minutes will each person get to play? Ans: 100 minutes

Mei and Lin were in a bicycle race. Mei was travelling at a constant speed of 20km/hr and they both did not change their speed. When Lin completed half the race, Mei was 3.5km ahead. Mei completed the race at 10.45am. What time did Lin complete the race? Ans: 11.06am

Sally baked some cookies to sell. 3/4 of them were chocolate cookies and the remaining were almond cookies. After she sold 5/6 of chocolate cookies and 210 almond cookies, she had 1/5 of the cookies left. How many cookies did she sell? Ans: 960

Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1 : 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy?. Ans: 68 sweets

Curry puff shop sells puffs at $0.80 each. Offer:Buy 3 get 4th half price. If customer has $50, how many puffs can he buy if he buys as many as he can. Ans: 71 puff

String of 2 big balloons is 90cm
String of 5 small balloons is is 1.2m
If both strings are of the same length, there would be 105 more small balloons than the big balloons. How many balloons are there altogether? Ans: 345

PSLE 2009 most difficult question

http://psle2009.blogspot.com/

PSLE 2009 most difficult question

Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1 : 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy?. Ans: 68 sweets


Let me show you how to solve the most difficult question using the easiest to understand way.

Jim
Sweets - 12: Chocolate
1 : 7
Ken
Sweets : Chocolate - 18
1 : 4

Jim
Chocolate = 7u x (Sweets -12)

Ken
4u Sweets = Chocolate - 18

combine two, (substitute chocolate into Ken's equation)
4u Sweets = 7u x (Sweets -12) -18
4u Sweets = 7u Sweets - 84-18
3u Sweets = 102
1u Sweets = 34

34 x 2 = 68 sweets bought


This is the simultaneous substitution concept which makes the problem sum so simple and easy to solve, this my easiest way to explain to my current P5 students how to solve this "national level" Maths problem sum that baffled this year's P6 students.

Oct 7, 2009

magic squares site:youtube.com - Google Search

Amazingly myriads of ways of creating Magic Squares by hand!!!!

http://www.google.com/search?q=magic+squares+site%3Ayoutube.com&btnG=Search&hl=en&lr=&num=100&sa=2

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