Archive | June, 2011

PSLE-Problem Sums that most P6 pupils stumble over – Part 2

8 Jun

Here are various 2010 Math Prelim questions.

Do try them before checking on the worked solutions.

We will go through more of them in class.


Question 1

Water from 3 taps was used to fill an empty tank. Tap A, B and C could fill the tank completely in 3 hours, 4 hours and 5 hours respectively.

(a) What fraction of the tank was filled with water after half an hour when all taps were turned on at the same time?

Now only Tap A and B were both turned on to fill another empty tank. After 20 minutes, Tap C was also turned on. Both Tap A and B were turned off at the same time after turning on for an hour and only Tap C was left to fill the tank completely.

(b) How much longer would Tap C take to fill the tank completely with water after Tap A and B were turned off?


Question 2

Rainy and Minnie had 1260 beads altogether. Rainy gave 2/3 of her beads to Minnie. Minnie then gave 3/8 of her beads to Rainy. Finally, they had the same number of beads. How many more beads had Rainy than Minnie?


Question 3

Kaylene was asked to number the pages of a book. When she had numbered the last page, she had counted a total of 822 digits.

(a) How many 3-digit numbered pages were there?

(b) What is the last page of the book?


Question 4

Mei and Jane bought a camera and a watch each. Mei spent ½ of her money on the camera and ¼ of the remaining money on a watch.

(a) What fraction of her money did Mei spend?

Jane spent 3/5 of her money on a camera. Her camera cost $280 more than Mei’s camera. They paid the same amount for their watch and had the same amount of money left.

(b) How much money had they altogether at first?



Question 5

Mom bought some muffins and tarts in the ratio 4:5. Each muffin cost $2.80. Each tart was $1.90. After giving away 5/8 of the muffins and 144 tarts, the ratio of the remaining items was 3:2.

(a) Find the total muffins and tarts left.

(b) How much more did the muffins cost than tarts?


Question 6

Jay and Wei bought the same type of notebooks. Jay bought a few for $80. Wei enjoyed a discount of 20% and bought 4 more notebooks than Jay with the same amount of money. Find the usual price of one notebook.

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