## Q&A - PSLE Math

- mathsolversg
- KiasuNewbie
**Posts:**2**Joined:**Wed Mar 09,

### Re: Q&A - PSLE Math

Hi all lovely parents,

I have recently started a blog for my students to help them regarding their math questions. Decided to open it to public so please do give it a try. More questions solved = more learning done! Clear and concise solutions are provided with explanations wherever necessary! Just email the blog and I will post the solution ASAP. Please do tell me whether it's a p6 or sec 1 question so I can archive everything clearly for your own future references!

http://www.mathsolversg.blogspot.com

Cheers

I have recently started a blog for my students to help them regarding their math questions. Decided to open it to public so please do give it a try. More questions solved = more learning done! Clear and concise solutions are provided with explanations wherever necessary! Just email the blog and I will post the solution ASAP. Please do tell me whether it's a p6 or sec 1 question so I can archive everything clearly for your own future references!

http://www.mathsolversg.blogspot.com

Cheers

### Re: Q&A - PSLE Math

Hi,

Can someone help on the following questions with clear explanation? Thank you.

Q1) May, Susan, Ben and Joey, each have some stickers. May has 50% as many stickers as the total number of stickers that Susan, Ben and Joey have. The number of stickers that Susan has is 25% of the total number of stickers that May, Ben and Joey has. The number of stickers that Ben has is 2/3 of the total number of stickers that May, Susan and Joey has. If May gives 20 stickers to Susan, May and Susan will then have an equal number of stickers. Find the average number of stickers each of them has.

Q2) In a donation drive, Ali, Hendri, Danny and Kaviin collected an average of $128. Ali collection 1/7 of the total amount collected by Hendri, Danny and Kaviin. Hendri collected 2/5 of the total amount collected by Danny and Kaviin. Danny collected 1/3 as much donations as Kaviin. How much donations did Ali collect?

Q3) A wallet contained some 2-dollar and 5-dollar notes in the ratio of 8:3. When 15 2-dollar notes were taken out and replaced with some 5-dollar notes, there was 16% less 5-dollar notes than 2-dollar notes. The total value of all the notes remained the same. What is the total value of all the notes in the wallet?

Can someone help on the following questions with clear explanation? Thank you.

Q1) May, Susan, Ben and Joey, each have some stickers. May has 50% as many stickers as the total number of stickers that Susan, Ben and Joey have. The number of stickers that Susan has is 25% of the total number of stickers that May, Ben and Joey has. The number of stickers that Ben has is 2/3 of the total number of stickers that May, Susan and Joey has. If May gives 20 stickers to Susan, May and Susan will then have an equal number of stickers. Find the average number of stickers each of them has.

Q2) In a donation drive, Ali, Hendri, Danny and Kaviin collected an average of $128. Ali collection 1/7 of the total amount collected by Hendri, Danny and Kaviin. Hendri collected 2/5 of the total amount collected by Danny and Kaviin. Danny collected 1/3 as much donations as Kaviin. How much donations did Ali collect?

Q3) A wallet contained some 2-dollar and 5-dollar notes in the ratio of 8:3. When 15 2-dollar notes were taken out and replaced with some 5-dollar notes, there was 16% less 5-dollar notes than 2-dollar notes. The total value of all the notes remained the same. What is the total value of all the notes in the wallet?

- teacherstorie
- KiasuNewbie
**Posts:**3**Joined:**Fri Dec 05,

### Re: Q&A - PSLE Math

taringal wrote:Hi,

Can someone help on the following questions with clear explanation? Thank you.

Q1) May, Susan, Ben and Joey, each have some stickers. May has 50% as many stickers as the total number of stickers that Susan, Ben and Joey have. The number of stickers that Susan has is 25% of the total number of stickers that May, Ben and Joey has. The number of stickers that Ben has is 2/3 of the total number of stickers that May, Susan and Joey has. If May gives 20 stickers to Susan, May and Susan will then have an equal number of stickers. Find the average number of stickers each of them has.

Q2) In a donation drive, Ali, Hendri, Danny and Kaviin collected an average of $128. Ali collection 1/7 of the total amount collected by Hendri, Danny and Kaviin. Hendri collected 2/5 of the total amount collected by Danny and Kaviin. Danny collected 1/3 as much donations as Kaviin. How much donations did Ali collect?

Q3) A wallet contained some 2-dollar and 5-dollar notes in the ratio of 8:3. When 15 2-dollar notes were taken out and replaced with some 5-dollar notes, there was 16% less 5-dollar notes than 2-dollar notes. The total value of all the notes remained the same. What is the total value of all the notes in the wallet?

Hope this helps.

Q1 and Q2 are similar.

Q3 is abit odd. I know exactly how to solve, but i suspect some numbers aren't correct.

- EconsPhDTutor
- GreenBelt
**Posts:**147**Joined:**Sat Jan 23,**Total Likes:**1

### Re: Q&A - PSLE Math

Hi Taringal, the answers aretaringal wrote:Hi,

Can someone help on the following questions with clear explanation? Thank you.

Q1) May, Susan, Ben and Joey, each have some stickers. May has 50% as many stickers as the total number of stickers that Susan, Ben and Joey have. The number of stickers that Susan has is 25% of the total number of stickers that May, Ben and Joey has. The number of stickers that Ben has is 2/3 of the total number of stickers that May, Susan and Joey has. If May gives 20 stickers to Susan, May and Susan will then have an equal number of stickers. Find the average number of stickers each of them has.

Q2) In a donation drive, Ali, Hendri, Danny and Kaviin collected an average of $128. Ali collection 1/7 of the total amount collected by Hendri, Danny and Kaviin. Hendri collected 2/5 of the total amount collected by Danny and Kaviin. Danny collected 1/3 as much donations as Kaviin. How much donations did Ali collect?

Q3) A wallet contained some 2-dollar and 5-dollar notes in the ratio of 8:3. When 15 2-dollar notes were taken out and replaced with some 5-dollar notes, there was 16% less 5-dollar notes than 2-dollar notes. The total value of all the notes remained the same. What is the total value of all the notes in the wallet?

(1) 75.

(2) $64.

(3) $155.

Please see this PDF for the full solutions.

Best

Dr. Choo Yan Min

www.EconsPhDTutor.com

### Re: Q&A - PSLE Math

Please help with this question. Thank you.

When Mr Lee was 40 years old, his son was twice his daughter's age. Mr Lee would be twice his son's age when his daughter was 28 years old. How old would Mr Lee be when his daughter was 20 years old?

When Mr Lee was 40 years old, his son was twice his daughter's age. Mr Lee would be twice his son's age when his daughter was 28 years old. How old would Mr Lee be when his daughter was 20 years old?

- EconsPhDTutor
- GreenBelt
**Posts:**147**Joined:**Sat Jan 23,**Total Likes:**1

### Re: Q&A - PSLE Math

Let x be how much older the son is than the daughter.whywhy wrote:Please help with this question. Thank you.

When Mr Lee was 40 years old, his son was twice his daughter's age. Mr Lee would be twice his son's age when his daughter was 28 years old. How old would Mr Lee be when his daughter was 20 years old?

Let L be Mr Lee's age when his daughter was 20 years old. (Keep in mind that L is the answer we are looking for.)

And so when his daughter was 28 years old, Mr Lee was (L + 8) years old and his son was (28 + x) years old. From the second sentence:

L + 8 = 2 × (28 + x) ⇒ L + 8 = 56 + 2x ⇒ L - 48 = 2x ⇒ ½L - 24 = x.

Let's save the above for later.

From the first sentence, when Mr Lee was 40 years old, his son was 2x years old and his daughter was x years old.

Hence, Mr Lee is (40 - x) years older than his daughter. And so when his daughter was 20 years old, Mr Lee was L = 60 - x years old. Substitute what we had from above:

L = 60 - x = 60 - (½L - 24) = 84 - ½L ⇒ 1.5L = 84 ⇒ L = 56.

The answer is L = 56. ∎

Hope this helps and feel free to ask for any clarifications.

- Dr. Choo Yan Min

### Re: Q&A - PSLE Math

whywhy wrote:Please help with this question. Thank you.

When Mr Lee was 40 years old, his son was twice his daughter's age. Mr Lee would be twice his son's age when his daughter was 28 years old. How old would Mr Lee be when his daughter was 20 years old?

- StillThinking
- BlueBelt
**Posts:**458**Joined:**Sat Oct 03,**Total Likes:**7

### Re: Q&A - PSLE Math

For Q3, when it said replaced, did it mean 15 notes, or the worth of 15 $2 notes? or just a random number of $5?taringal wrote:Hi,

Can someone help on the following questions with clear explanation? Thank you.

Q1) May, Susan, Ben and Joey, each have some stickers. May has 50% as many stickers as the total number of stickers that Susan, Ben and Joey have. The number of stickers that Susan has is 25% of the total number of stickers that May, Ben and Joey has. The number of stickers that Ben has is 2/3 of the total number of stickers that May, Susan and Joey has. If May gives 20 stickers to Susan, May and Susan will then have an equal number of stickers. Find the average number of stickers each of them has.

Q2) In a donation drive, Ali, Hendri, Danny and Kaviin collected an average of $128. Ali collection 1/7 of the total amount collected by Hendri, Danny and Kaviin. Hendri collected 2/5 of the total amount collected by Danny and Kaviin. Danny collected 1/3 as much donations as Kaviin. How much donations did Ali collect?

Q3) A wallet contained some 2-dollar and 5-dollar notes in the ratio of 8:3. When 15 2-dollar notes were taken out and replaced with some 5-dollar notes, there was 16% less 5-dollar notes than 2-dollar notes. The total value of all the notes remained the same. What is the total value of all the notes in the wallet?

I assumed that it meant 15 notes...

2x8u=16u

5x3u=15u

2x15=30

5x15=75

8u-15=100x

3u+15=84x

31u=?

8400x=672u-1260=300u+1500

372u=1500+1260=2760

then it is no longer divisible, cld someone take a look and help(I'm known for being Ms Careless)

### Re: Q&A - PSLE Math

Hi,

Can someone help on the following questions? Thank you.

Question 1

A factory made 135 more blueberry muffins than egg tarts. After 3/5 of the blueberry muffins and 1/4 of the egg tarts were taken away, there were 198 more egg tarts left than blueberry muffins.

(a) How many egg tarts were made at the factory at first?

(b) How many blueberry muffins were taken away?

Question 2

Mdm Kee collected 3 types of flowers from a nursery. 1/5 of them were roses, 2/5 of the remainder were carnations and the rest were daisies. There were 154 more daisies than roses.

(a) How many carnations were there?

(b) If Mdm Kee decided to sell each stalk of flowers for $5, how much money would she collect from the sale of all the flowers?

Question 3

Miss Fiona bought an equal number of markers and brushes for the Art club. She spent $275 altogether and each brush cost $1.50 more than a marker. If the ratio of the amount of money she spent on the markers to the amount of money she spent on the brushes was 7:4, how many brushes did she buy?

Question 4

A baker packed some fruit tarts into 6 small trays and 14 big trays. Each big tray can hold 12 more fruit tarts than each small tray. 13/16 of the fruit tarts were packed in big trays.

(a) What fraction of the tarts was packed in small trays? (Ans: 3/16)

(b) How many fruit tarts were there in a big tray? (please help on this)

Can someone help on the following questions? Thank you.

Question 1

A factory made 135 more blueberry muffins than egg tarts. After 3/5 of the blueberry muffins and 1/4 of the egg tarts were taken away, there were 198 more egg tarts left than blueberry muffins.

(a) How many egg tarts were made at the factory at first?

(b) How many blueberry muffins were taken away?

Question 2

Mdm Kee collected 3 types of flowers from a nursery. 1/5 of them were roses, 2/5 of the remainder were carnations and the rest were daisies. There were 154 more daisies than roses.

(a) How many carnations were there?

(b) If Mdm Kee decided to sell each stalk of flowers for $5, how much money would she collect from the sale of all the flowers?

Question 3

Miss Fiona bought an equal number of markers and brushes for the Art club. She spent $275 altogether and each brush cost $1.50 more than a marker. If the ratio of the amount of money she spent on the markers to the amount of money she spent on the brushes was 7:4, how many brushes did she buy?

Question 4

A baker packed some fruit tarts into 6 small trays and 14 big trays. Each big tray can hold 12 more fruit tarts than each small tray. 13/16 of the fruit tarts were packed in big trays.

(a) What fraction of the tarts was packed in small trays? (Ans: 3/16)

(b) How many fruit tarts were there in a big tray? (please help on this)