Monday, August 17, 2009

Maths Problems 17 Aug 09

1. A certain number of chairs can be arranged such that there are exactly 13 chairs per row. If the same number of chairs is arranged in rows of 10 chairs each, there will be 5 more rows and 4 chairs left over. How many chairs are there altogether?

2. The petrol tank of Su Min's car was 70% empty. He went to a petrol station and topped up 25 litres of petrol. When he reached home, the petrol tank was 70% full. Given that he used 1 litre of fuel to get home from the petrol station, find the capacity of the petrol tank.

3. Kai Ling bought some stationery. 5/8 of her money was spent on pens and the rest was spent on rulers and erasers. The number of rulers was twice as many as the number of erasers. The prices of the stationery were as follows:
Ruler - $0.40 each
Eraser - $0.70 each
Pens - $1.25 each
She spent $20 on the rulers. How much money did she spend on the pens?

4. If Ahmad and Ben work together, they can complete a job in 12 days. If Ahmad and Ben worked together for 3 days, followed by Ben who worked alone for the next 5 days, they can finish 5/12 of the job. How many days will each of them need to complete the job if Ahmad were to work alone?

5. Tommy and Wilson jog on a hexagon track (6 equal sides) at 8am. Tommy starts at Point C while Wilson starts at point F. Both jog in the direction as shown by the arrows. Tommy's speed is 1.5 times Wilson's.
(a) At which point will they meet?
(b) If they meet at 8.20am, find Tommy's speed.

Diagram given in class

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