Q&A - PSLE Math

[CoffeeCat]

Cheerfuldad:

Hi all,


Please help!

Q 1. While on a Europe tour, Sam read 544 pages of a book at first. He read the remaining pages in 23 days, with the same number of pages each day. During these 23 days, he read 1/13 of the book in 7 days. How many pages of the book did he read in the 7 days?



Q 2. There were 65 more boys than girls at a carnival on Sunday. 60% of the boys and 2/7 of the girls who were at the carnival on Sunday went on Saturday too. The remaining 143 boys and girls went only on Sunday.
a) How many more boys than girls went to the carnival on both days?
b) Find the total number of boys and girls at the carnival on Sunday.

Thank you.

Q1)
7 days -> 1/13 of book
1 day -> 1/91 of book
23 days -> 23/91 of book
Hence 68/91 of book -> 544 pages
book -> 544*91/68 = 728 pages
7 days -> 1/13 of book -> 728/13 = 56 pages

Q2)
One may use simultaneous eqns to solve...
let b and g represent the no. of boys and girls on sunday.
b = g+ 65
2/5 b + 5/7 g = 143
2/5 (g + 65) + 5/7 g = 143
26 + 39/35 g = 143
g = 117*35/39 = 105
b = 105 + 65 = 170
60% of boys -> 102
2/7 of girls -> 30
Difference 72
Total on Sunday -> 105 + 170 = 275

[Hifive]

CoffeeCat:

Hifive:

Hi


Need help with this question:

http://www.flickr.com/photos/62186744@N04/5706093589/

Thanks in advance.

we are given
20% of A = 30% of C
Thus this is an equal concept question.
its better to convert and play with fractions so...
2/10 of A = 3/10 of C
There are different ways to find ratio of A to C, I make the numerator equal.
6/30 of A = 6/20 of C
hence
A : C
30 : 20
Note that shaded area of A = Shaded area of C = 6 units.
if 40% of B --> 6*2 = 12 units
then B -> 30 units
Total figure -> 30 + 30 + 20 - 12 = 68 units (the shaded area are double counted).
Fraction -> 12/68 = 3/17

Hi CoffeeCat

Thanks for your explanation.

Regards

[tianzhu]

Hi


Hope this helps.

Please click at link to read question.

http://www.flickr.com/photos/62186744@N04/5706093589/

Best wishes.

http://farm4.static.flickr.com/3292/5708839634_c82f2e3e46_z.jpg\">

[Hifive]

Hi tianzhu


Thanks for your detailed explanation and the diagram helps in my understanding.

Cheers

[MathIzzzFun]

Cheerfuldad:

Hi all,


Please help!

Q 1. While on a Europe tour, Sam read 544 pages of a book at first. He read the remaining pages in 23 days, with the same number of pages each day. During these 23 days, he read 1/13 of the book in 7 days. How many pages of the book did he read in the 7 days?

Q 2. There were 65 more boys than girls at a carnival on Sunday. 60% of the boys and 2/7 of the girls who were at the carnival on Sunday went on Saturday too. The remaining 143 boys and girls went only on Sunday.
a) How many more boys than girls went to the carnival on both days?
b) Find the total number of boys and girls at the carnival on Sunday.

Thank you.

Hi Cheerfuldad,

A model approach to Q2 - http://www.flickr.com/photos/62167097@N02/5708623177/in/photostream

cheers.

[Mum1113]

Hi , pls help on this question which seems ‘weird’ ?

[tianzhu]

Hifive:

Hi tianzhu


Thanks for your detailed explanation and the diagram helps in my understanding.

Cheers

Hi Hifive

You're welcome.

Best wishes.

[tianzhu]

raghupavithra:

Wen Si used a piece of wire to form an outline of a flower as shown below.








She bent the 3 petals of the flowers into 6 identical quater arcs of radius 7 cm each. The perimeter of the stalk of the flower was 19 cm. If 1 m of the wire cost $0.80, what was the cost of the wire she had used for 5 flowers?
(Take pie = 22/7​ )

Hi

As no diagram is provided in your post, we can only guess how the flower looks like when formed by the wire based on the description in your question.

From the image of a flower, I can only “agar agar” draw out the outline.

It helps if a student is able to visualize and move some arcs to form a circle and semi circle.

Hope this helps.

Best wishes

http://farm3.static.flickr.com/2083/5709648486_c3b4724722_z.jpg\">

[2011PSLEstudent]

Hi, Can everyone share their methods to solving problem sums over here, please? :please:

[Cheerfuldad]

MathIzzzFun:

Cheerfuldad:

Hi all,


Please help!

Q 1. While on a Europe tour, Sam read 544 pages of a book at first. He read the remaining pages in 23 days, with the same number of pages each day. During these 23 days, he read 1/13 of the book in 7 days. How many pages of the book did he read in the 7 days?

Q 2. There were 65 more boys than girls at a carnival on Sunday. 60% of the boys and 2/7 of the girls who were at the carnival on Sunday went on Saturday too. The remaining 143 boys and girls went only on Sunday.
a) How many more boys than girls went to the carnival on both days?
b) Find the total number of boys and girls at the carnival on Sunday.

Thank you.

Hi Cheerfuldad,

A model approach to Q2 - http://www.flickr.com/photos/62167097@N02/5708623177/in/photostream

cheers.

Thank you Sir!