James Ang:Hi James,My students are practising these common question types for the PSLE paper in 1 week's time.
1. John cycled at an average speed of 10km/h from his home to the park. On reaching the park, he cycled back home along the same route at an average speed of 8km/h. He took 1h 12 mins for the entire journey. How long did he take to cycle from the park back to his home?
2. Jack bought some pens and erasers for a total of $100.10. He spent $9.10 more on the pens than erasers. Each pen costs $3.70 more than each eraser. Jack bought 7 times as many erasers as pens. How much does a pen cost?
3. Andy sold thrice as many $5 T-shirts as $10 T-shirts. He also sold twice as many $10 T-shirts as $20 T-shirts. He collected $160 more from selling $5 T-shirts than from selling $20 T-shirts.
a)\tHow much money did he collect from selling $5 T-shirts?
b)\tHow many T-shirts did he sell altogether?
4. Tom and Jerry each has some money. If Tom spends $9 per day and Jerry spends $3 per day, Tom will have $100 left when Jerry has spent all his money. If Tom spends $3 per day and Jerry spends $9 per day, Tom will have $220 left when Jerry has spent all his money. How much did Jerry have?
5. A van travelled from Town A to Town B at an average speed of 55km/h. A car started its journey from town B to A at 90 km/h at the same time the van started. The two vehicles passed each other 70 km from the middle of the whole journey. Find the distance between the two towns.
6. 80% of marbles are red marbles and 20% of them are blue marbles. 63 red marbles and 46 blue marbles are added. The red marbles now makes up 75% of marbles and blue marbles 25% of marbles. How many red marbles are there at first?
7. Courier A takes 10 hours to deliver a parcel from Town X to Town Y. Courier B takes 12 hours to deliver the parcel along the same route. If the speed of Courier A is 9km/h faster than that of Courier B, find the speed of Courier A.
8. In a concert, 75% of the audience were female. 75 females and 5 males left the concert half way. The remaining audience were allocated seats in groups of 10. Each group has 3 males. How many people were in the audience at first?
9. On Linda’s birthday, she gave sweets to every pupil in her class. If she gave each pupil 7 sweets, she would have 4 sweets left. If she gave 2 sweets to each pupil, she would have 189 sweets left. How many pupils were there in Linda’s class?
10. The ratio of Ryan's pocket money to John's pocket money was 3 : 2. After Ryan saved $15 and John spent $8, the ratio of Ryan's pocket money to John's pocket money was 3 : 1. How much money did Ryan have at first?
11. A lorry left Town A for Town B. After travelling for 4 hours at its usual speed, the lorry stopped for 30 mins for a break. In order to reach Town B at the appointed time, the speed of the lorry was increased by 8 km/h. Given that the lorry took 3 hours to cover the remaining journey, find the distance between Town A and Town B.
12. Paul and Ray worked together to paint a house. During the job, Paul rested for 4 days and Ray took 2 days off. However, they were not absent on the same days. If they had done the same job alone, Paul would have taken 18 days and Ray 12 days. How long did the two painters take to complete painting the house?
Appreciate if you can at least give us the answers if not the full solutions. Thanks