Tutor MathsGuru: Ask me for your burning Maths questions!

[KSP]

:congrats: Mathsguru, you deserve this award. :celebrate: :rahrah:

ChiefKiasu:

Nothing beats being recommended for an award by a fellow member :).

mathsguru is hereby awarded the Community Support Award of 500 KPs :).

[Muffins]

ChiefKiasu:

Nothing beats being recommended for an award by a fellow member :).


mathsguru is hereby awarded the Community Support Award of 500 KPs :).

You deserve it, Mathsguru! Your guidance and help have shown us new ways of solving seemingly tough problems. CONGRATULATIONS, MATHSGURU, AND THANK YOU! :congrats: :thankyou:

[kitty2]

ChiefKiasu:

Nothing beats being recommended for an award by a fellow member :).


mathsguru is hereby awarded the Community Support Award of 500 KPs :).

Well Done :congrats: You're indeed extremely helpful and kind :thankyou:

[kitty2]

mathsguru,please :?: Thank you



1)During a telematch,each group was supposed to collect as many coloured balls as possible.Each colour represents a certain point as followed

red 2 points
green 5 points
blue 3 points

Within each container,the number of red balls was 20% more than the number of blue balls and 10% lesser than the number of green balls.Given that the total possible points if the group managed to collect all the balls was 724 points,how many red balls were there?

2) Jason had 75% as many stickers as Susan.After Jason and Susan bought another 48 stickers and 4 stickers respectively,Jason had 20% more stickers than Susan.How many stickers did Jason have at first?

3)Amos had 20% more sweets than Daniel.Amos started by giving 30% of his sweets to Daniel.Daniel in return gave 25% of his sweets to Amos.In the end.Daniel had 32 lesser sweets than Amos.How many sweets did Amos have at first?

[Muffins]

kitty2:

mathsguru,please :?: Thank you



1)During a telematch,each group was supposed to collect as many coloured balls as possible.Each colour represents a certain point as followed.

green 5 points
red 2 points
blue 3 points

Within each container,the number of red balls was 20% more than the number of blue balls and 10% lesser than the number of green balls.Given that the total possible points if the group managed to collect all the balls was 724 points,how many red balls were there?

2) Jason had 75% as many stickers as Susan.After Jason and Susan bought another 48 stickers and 4 stickers respectively,Jason had 20% more stickers than Susan.How many stickers did Jason have at first?

3)Amos had 20% more sweets than Daniel.Amos started by giving 30% of his sweets to Daniel.Daniel in return gave 25% of his sweets to Amos.In the end.Daniel had 32 lesser sweets than Amos.How many sweets did Amos have at first?

Hi kitty2, hope I can help though I'm not mathsguru!

Q1) Change everything to LCM, so:
G = 20 units
R = 18 units
B = 15 units

20u X 5 =100u
18u X 2 =36u
15u X 3 = 45u
(100+36+45)u = 181u
181u = 724
1u = 4
Red = 18u
4X 18 = 72

Q2) S : J
4u : 3u
(+4) (+48 )
5u : 6u
5 X (3u + 4) = 15u + 240
6 X (4u + 48 ) = 24u + 24
(24u + 24) - (15u + 240)
15u + 240 = 24u + 24
= 240 = 9u + 24
240 - 24 = 216
216 = 9u
216/9 = 24
24 = 1u
24 X 3 = 72

Q3) D : A
50u : 60u
60u X 30% = 18u
60u - 18u = 42u
50u + 18u = 68u
68u X 25% = 17u
68u - 17u = 51u
42u + 17u = 59u
59u - 51u = 8u
8u = 32
32/8 = 4
4 X 60 = 240

Hope I helped!

[kitty2]

:thankyou: Muffin

[Muffins]

kitty2:

:thankyou: Muffin

No problem, kitty2!

[mathsguru]

kitty2:

1)During a telematch,each group was supposed to collect as many coloured balls as possible.Each colour represents a certain point as followed


red 2 points
green 5 points
blue 3 points

Within each container,the number of red balls was 20% more than the number of blue balls and 10% lesser than the number of green balls.Given that the total possible points if the group managed to collect all the balls was 724 points,how many red balls were there?

2) Jason had 75% as many stickers as Susan.After Jason and Susan bought another 48 stickers and 4 stickers respectively,Jason had 20% more stickers than Susan.How many stickers did Jason have at first?

3)Amos had 20% more sweets than Daniel.Amos started by giving 30% of his sweets to Daniel.Daniel in return gave 25% of his sweets to Amos.In the end.Daniel had 32 lesser sweets than Amos.How many sweets did Amos have at first?

Hi Kitty2,

Sorry for the delayed response, been pretty occupied over the weekend...Anyway, here are my solutions.

In my examples, you will see that I actually have decimal numbers for my no. of units in Qn 2 & 3. It doesn't matter, cos it's all proportion. As long as the amount for 1 unit is a whole no. (as the question deals with items that require whole no.s e.g. stickers, etc), it means your calculation should be correct. I thought this is easier than trying to find the LCM for Questions 2 & 3.

Let me know if you need clarification ya...

http://www.postimage.org/image.php?v=PqeCxwS

http://www.postimage.org/image.php?v=PqeCCw9

http://www.postimage.org/image.php?v=PqeCsxA

Cheers,
MathsGuru

[kitty2]

:thankyou: mathsguru

[KSP]

Hi mathsguru,


Have you tried doing the questions posted in \"Are you smarter than a PSLE Kid\" at http://www.blogtv.sg ? (http://blogs.blogtv.sg/starbloggers/2009/10/23/math-quiz/
10 questions, 40 minutes later, the 12-year-old boy emerged triumphant, having answered 4 questions correctly. The 31-year-old banker managed only 1 correct question. So do you think you’re smarter than a 12-year-old? Here are the 10 questions we posed to our two wonderfully brave contestants.)

Here are the questions and answers. It will be very helpful if you can show us the working. Thank you in advance.

QUESTION 1
Bryan invited 20 more boys than girls to a party. 3/4 of the boys and 2/3 of the girls came. 19 people didn’t come. How many people did he invite?



QUESTION 2
Of the visitors in a museum, 40% are children, 3/4 of the adults are women.
a) what is the ratio of children:men:women.
b) the second day, children number increased by 20%, adults number remain the same but women is 3/5 of adult. if there are 336 more children than women, how many visitors on second day



QUESTION 3
The figure below, not drawn to scale is made up of a big circle, two semicircles, two quadrants and two squares.
a) Find the perimeter of the shaded figure
b) find the area of the shaded figure

http://www.postimage.org/image.php?v=aV61DoS


QUESTION 4
A millipede is climbing up a wall. For every 3cm it climbs, it slips by 1cm. It takes 3 seconds to climb 1 cm and 1 second to slip by 1cm.
a) How far would the millipede have climbed after 1 minute?
b) How long would the millipede take to climb 56cm?



QUESTION 5
There are red and green beads in a bag. When 75 green beads are added, the percentage of red beads decreased from 30% to 20%. How many red beads are there in the bag?



QUESTION 6
Kavita had 50% fewer erasers than Mark. After Mark gave 15 of his erasers to Kavita, Kavita had 40% fewer erasers than Mark. How many erasers did Kavita have at first?



QUESTION 7
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?



QUESTION 8
Shop A has 156 kg of rice. Shop B has 72 kg of rice. After both shops sold an equal amount of rice, the ratio of rice that shop A has to shop B is 4:1. Find the amount of rice sold by each shop.



QUESTION 9
6/14 of the chairs in a hall are in rows of 13. Half of the chairs are in rows of 7. There are 112 more chairs in rows of 7. The rest of the chairs are stacked up. Find the total number of chairs.



QUESTION 10
Tank A is filled with water to its brim. Water is then poured from Tank A to Tank B until both share the same height. What is this height?


http://www.postimage.org/image.php?v=aV61KTi




Answers.

QUESTION 1
68 people were invited

QUESTION 2
a) 8:3:9
b) 3024 visitors

QUESTION 3
a) 125.6cm
b) 192.5cm squared

QUESTION 4
a) 12cm
b) 4min 36 sec

QUESTION 5
There are 45 red beads in the bag

QUESTION 6
Kavita had 120 erasers at first

QUESTION 7
Ryan had $39 at first

QUESTION 8
Each shop sold 44 kg of rice.

QUESTION 9
There were a total of 1568 chairs.

QUESTION 10
The height of the water is 25 cm.