Q&A - PSLE Math

[James Ang]

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?

[Muffins]

A : B+C+D

4u : 5u

4u + 5u = 9u which is 81
81/9 = 9
1 unit = 9

a) 2u= 2X9 = 18
9X9 = 81
18 : 81 = 2 : 9

b) 81 X 4/9 = 36

That's the method I got!

[youngmum]

Can anyone tell me how the breakdown of thetopic tested in PSLE? i am feeling stressed. Thanks.

[Dharma]

youngmum:

Can anyone tell me how the breakdown of thetopic tested in PSLE? i am feeling stressed. Thanks.

Hi youngmum,

All topics that have been covered from P4 to P6 will be tested.

For problems solving questions for Paper 2, these are the topics that u may wish to focus on.

1.\tWhole Numbers/Decimals
2.\tFraction
3.\tRatio
4.\tPercentage
5.\tSpeed/Rates
6.\tArea/perimeter – circles, squares, rectangles
7.\tAngles

Get your child goes thru all school worksheets and exam papers and re-work the questions that he had gone wrong earlier and learn from the mistakes.

There is also a large collection of solved questions in this thread and you may wish to refer to.

Any further questions you can always post them on this thread and I am sure there will be other parents who will be willing to extend a helping hand.

[mummyjoyce]

Ihave printed all the questions and answers posted at this link for my girl; this is part of her revision for the coming PSLE.

http://road-to-psle.blogspot.com/

[k1ndan]

James Ang:

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?

Hi James, just want to check do you have the answer key with full working? My daughter's taking this year PSLE.

[oceandeep]

//Moderator's note: Topics merged.


Pls help these 2 math questions.

1) When Mrs Lee was 40 yrs old, her son was twice her daughter age. Mrs Lee will be twice her son age when her daughter is 28 yr old. How old will Mrs Lee be when her daughter is 20 yrs old.

2) At 7am. Car A left Town X while Car B left Town Y for Town X. At 3pm, the 2 cars passed each other. 5hour later ,Car A reached Town Y but Car B was still 150 KM away from Town X. Find the distance between town X and town Y.

Thank you very much.

[jedamum]

oceandeep

pls do a basic search before starting a new topic
mods, pls merge http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=280&start=855.
TQ.

[tianzhu]

Hi, hope this helps.


http://farm3.static.flickr.com/2608/3970452550_6f3fe08291_o.jpg\">

[fxchow]

Hi,


Can someone help. TIA

After a Mathematics quiz, Mr Li gave the three prize winners a box of pencils to share.
The 1st winner received 2/3 of the pencils plus 1/3 of a pencil.
The 2nd winner received 2/3 of the remainder plus 1/3 of a pencil.
The 3rd winner received 2/3 of the new remainder plus 1/3 of a pencil.
But there were no more pencils left.
How many pencils were there in all?
Ans: 13 pencils