Q&A - PSLE Math

[tianzhu]

peggy:

Please help.



Nicole received more money than Tricia from their mother. 40% of Tricia's money is $16 less than 25% of Nicole's money. If Nicole gives 35% of her money to Tricia, Nicole will have $12 less than Tricia.

A. How much money does Tricia has?
B. How many per cent more money does Nicole has than Tricia at first?
Round off your answers to the nearest 2 decimal places.


Thanks.

Hi

A neat way is to use MD.

I am rushing so I’ll work with units.

40% of Tricia's money ------- 20 units

100% of Tricia's money ------- 50 units

25% of Nicole's money ------- 20 units + 16

100% of Nicole's money ------- 80 units + 64

If Nicole gives 35% of her money to Tricia, Nicole will have $12 less than Tricia.

35% of Nicole's money ------- 28 units + 22.4

After the transfer

Nicole -------- 52 units + 41.6

Tricia -------- 78 units + 22.4

78 units + 22.4 -------- 52 units + 41.6 + 12

26 units -------- 31.2

1 unit ------- 1.2

Tricia ------- 50 units -------- 60

Nicole -------- 80 units + 64 --------- 160

I’ll leave it to you to continue with the percentage increase in (b)

Best wishes

[charsen]

Shimmer:

Q1.Daniel had 40% more stickers than Brandon. Daniel and Brandon each gave 20%of their stickers to Calvin. As a result ,Calvin stickers increased by 80%. If Daniel has 20 more stickers than Calvin in the end, how many stickers did Brandon have at first?

Q2.At a confererence made up of speakers and participants , there were 20% more men than women. The ratio of male speakers to female speakers was 8:5. There was an equal number of male and female participants.
A)Find the ratio of male speakers to male participants at the conference.
B)Halfway,40 male participants left the conference and another 60 female participants joined the conference.In the end,there was 3/4 as many male participants as female participants remaining behind.How many speakers were there at the conference?

Hi,
Daniel : Bradon
140 100

20% of Daniel-140x20%=28
20% of Bradon-100x20%=20%
80% of Calvin - 28+20=48
180% of Calvin - (48/80)x180%=108
Daniel in the end - 140-28=112
Difference in Units- 112-108=4U
4U=20
1U=5
Brandon at first - 5x100=500(ANS)

[peggy]

Tianzhu,


Thanks you.

Cheers!

[tianzhu]

Shimmer:

Q2.At a confererence made up of speakers and participants , there were 20% more men than women. The ratio of male speakers to female speakers was 8:5. There was an equal number of male and female participants.

A)Find the ratio of male speakers to male participants at the conference.
B)Halfway,40 male participants left the conference and another 60 female participants joined the conference.In the end,there was 3/4 as many male participants as female participants remaining behind.How many speakers were there at the conference?

Hi

Good morning.

This question has been discussed before.

http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=69&t=280&start=5290

Best wishes

[tianzhu]

Michaelia0816:

Hi! Tianzhu, pls check, I think it should be $26.10 instead!

Hi girl

Let's go through with the answers.

First, start with your answer of 26.10.

We need to take away 5.40 (6*0.9) for the savings during the first 6 days.

26.1 – 5.4 ------20.7

Number of days ------ 20.7/0.9 ------23

In 23 days, Minah saves 23*1.1 or 25.30

So, we can see that when Rahman saved 26.10, Minah had 25.30.This does not satisfy the condition in the question.

Now let’s us consider 50.40. I’ll take you through flow of events, so the steps will be longer as compared to my earlier solution.

In 6 days, Rahman saves 6*0.9 ------ 5.40

First, Minah needs to catch up with Rahman

Number of days to Minah needed to catch up with Rahman ------ 5.4/0.2 -------- 27

Minah saves 20 cents more than Rahman each day. From this point, she needs 4.60/0.2 or another 23 days to have $4.60 more than Rahman.

23 + 27 ------ 50

In 50 days, Minah saves 50*1.1 -------- 55

In 50 days, Rahman saves 50*0.9 -------- 45

Remember, Rahman has a head start of 5.4

45 + 5.4 ------ 50.4

55 – 50.4 ------- 4.60

This satisfies the condition given in the question.

Best wishes

[anneshirleygilbert]

Hello tianzhu,


Patrick, Devi and Jiamin each have the same number of beads. How many beads must Devi give to Patrick and Jiamin so that Patrick has 20 beads more than Devi and Jiamin has 4 fewer beads than Patrick?

Can you please show how you arrived at the answer 12? Did Devi give a total of 12 marbles to Patrick and Jiamin?

TIA.
Anne

[2632parent]

Need help on this simple question, I just cannot get the answer.


1) A piece of raffia measuring 7 m long was cut into smaller pieces. Each piece was 5/8 m long. What is the length of the remaining raffia?

Thank you.

[tianzhu]

2632parent:

Need help on this simple question, I just cannot get the answer.


1) A piece of raffia measuring 7 m long was cut into smaller pieces. Each piece was 5/8 m long. What is the length of the remaining raffia?

Thank you.

Hi

Look at it this way.

Divide 7m into 7 equal sections of 1m each.

Now consider one 1m section and divide into 8 parts.

Each piece was 5/8 m long, so we need to cut 5 parts to make one piece.

7m ------- 7 number of 1m section -------- 56 parts

We can cut 55 parts with a remainder of 1 part.

Hence, the remaining length is 1/8

Best wishes

[tianzhu]

anneshirleygilbert:

Can you please show how you arrived at the answer 12? Did Devi give a total of 12 marbles to Patrick and Jiamin?

TIA.
Anne

Hi

8 to Patrick and 4 to Jiamin,giving a total of 12 beads.

I'll try to prepare some sketch and PM to you at a later time.

Best wishes

[Michaelia0816]

Pls help with this question,

1) A number has 3 digits. When it is divided by 6 or 7, it leaves a remainder of 1. When it is divided by 8 or 11, it leaves a remainder of 7. What is the largest such number?

2) A rectangle of length 24 cm is given as shown below. Twelve identical isoceles triangles are cut from it. The perimeter of the remaining figure is 120 cm more than that of the rectangle. Find the perimeter of an isoceles triangle?

Picture of the figure for Q2:
http://t.co/lUBjqv11