Tutor MathsGuru: Ask me for your burning Maths questions!

[YLH88]

Hi all,


Need help with the following questions :

1) Nan Hua SA1 2009 P1 Qn 14
Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours, the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey ?

a) 1:2
b) 1:3
c) 2:3
d) 4:3


2) Nan Hua SA1 2009 P1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13

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

3) AiTong SA1 2009 P2 Qn 15
Tommy and Wilson jog on a hexagon track (6 equal sides) at 8 am. Tommy starts at point C while Wilson starts at point F. Both jog in the direction as shown by the arrows. Tommy's speed is 1.5 times Wilson's.
a) At which point will they meet ?
b) If they meet at 8.20 am, find Tommy's speed ?

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

Thank you so much!

[Brenda10]

YLH88:

Hi all,


Need help with the following questions :




2) Nan Hua SA1 2009 P1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13

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

Thank you so much!

Hi, for this question, answer very hight chance should be (b)

A B C

3:4:10
9:12:30 (x3 due to 1/3 of B is shaded)
4 (B shaded = 1/3, use 12/3=4)

Then whole figure 30 - 4 also, get 26

4:26
Then simplified to
2:13

Hopefully this answer is correct.

Thank you.

[MOE Hater]

YLH88:

Hi all,


Need help with the following questions :

1) Nan Hua SA1 2009 P1 Qn 14
Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours, the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey ?

a) 1:2
b) 1:3
c) 2:3
d) 4:3


2) Nan Hua SA1 2009 P1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13

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

3) AiTong SA1 2009 P2 Qn 15
Tommy and Wilson jog on a hexagon track (6 equal sides) at 8 am. Tommy starts at point C while Wilson starts at point F. Both jog in the direction as shown by the arrows. Tommy's speed is 1.5 times Wilson's.
a) At which point will they meet ?
b) If they meet at 8.20 am, find Tommy's speed ?

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

Thank you so much!

My teacher has given me the Nan Hua paper and I am pretty sure she wouldn't give P6ers a P1 paper.

[MOE Hater]

KSP:

Just wonder where Mathsguru is. Have not seen her answering questtion for a long time.

Good Point. By the way, how do you know mathguru is a she? Boys tend to be better at Math, I suppose. :roll:

[CoffeeCat]

MOE Hater:

KSP:

Just wonder where Mathsguru is. Have not seen her answering questtion for a long time.

Good Point. By the way, how do you know mathguru is a she? Boys tend to be better at Math, I suppose. :roll:

maybe it's because you were new to this forum or not seen the first page of this thread. Mathsguru mentioned somewhere that she is a she.

[YLH88]

Hi all,


Sorry, to clarify, the below questions are all for P6 level, the P1 and P2 is referring to whether Paper 1 or Paper 2. I have made the amendments for the below. Ya, I too wonder where is Mathsguru .....

Need help with the following questions :

1) Nan Hua P6 SA1 2009 Paper 1 Qn 14
Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours, the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey ?

a) 1:2
b) 1:3
c) 2:3
d) 4:3


2) Nan Hua P6 SA1 2009 Paper 1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13

http://www.postimage.org/image.php?v=gxsuNh0


3) AiTong P6 SA1 2009 Paper 2 Qn 15
Tommy and Wilson jog on a hexagon track (6 equal sides) at 8 am. Tommy starts at point C while Wilson starts at point F. Both jog in the direction as shown by the arrows. Tommy's speed is 1.5 times Wilson's.
a) At which point will they meet ?
b) If they meet at 8.20 am, find Tommy's speed ?

http://www.postimage.org/image.php?v=aVD5NPS


Thank you so much!

[YLH88]

[quote]
YLH88 wrote:
Hi all,

Need help with the following questions :




2) Nan Hua SA1 2009 P1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13



Thank you so much!


Hi, for this question, answer very hight chance should be (b)

A B C

3:4:10
9:12:30 (x3 due to 1/3 of B is shaded)
4 (B shaded = 1/3, use 12/3=4)

Then whole figure 30 - 4 also, get 26

4:26
Then simplified to
2:13

Hopefully this answer is correct.

Thank you.

[/quote]Hi Brenda10,

I can understand the first part, where
A B C
3:4:10
9:12:30 (x3 due to 1/3 of B is shaded)

But why do you take 30 - 4 ? Your answer is correct (answer in the answer key is b)

[Brenda10]

YLH88:

[quote]
YLH88 wrote:
Hi all,

Need help with the following questions :




2) Nan Hua SA1 2009 P1 Qn 15
In the figure, not drawn to scale, the ratio of the area of Circle A to Circle B to Circle C is 3 : 4 : 10. If 1/3 of B is shaded, what is the ratio of the shaded part to the unshaded part of the figure ?

a) 1:17
b) 2:13
c) 3: 17
d) 4:13



Thank you so much!


Hi, for this question, answer very hight chance should be (b)

A B C

3:4:10
9:12:30 (x3 due to 1/3 of B is shaded)
4 (B shaded = 1/3, use 12/3=4)

Then whole figure 30 - 4 also, get 26

4:26
Then simplified to
2:13

Hopefully this answer is correct.

Thank you.

Hi Brenda10,

I can understand the first part, where
A B C
3:4:10
9:12:30 (x3 due to 1/3 of B is shaded)

But why do you take 30 - 4 ? Your answer is correct (answer in the answer key is b)[/quote]Hi YLH88

Thank you for your confirmation.

30 - 4 becuase of need to find out the unshaded part of the figure, and \"4 \" which shaded is insided the figure C.

[YLH88]

Hi Brenda10,


I understand how you get 4 for the shaded part. But for the unshaded part, why use only 30 ? how about A and B ?

Sorry still a bit confused .. :?

[Vanilla Cake]

YLH88:

Hi all,

Sorry, to clarify, the below questions are all for P6 level, the P1 and P2 is referring to whether Paper 1 or Paper 2. I have made the amendments for the below. Ya, I too wonder where is Mathsguru .....

Hi YLH88,
Mathsguru's last post in this forum was on http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=6373&postdays=0&postorder=asc&start=1290.Hope she will come back ASAP to provide Maths solutions for us.While waiting for her solution, pls see whether my amateurish solutions can help you or not.

YLH88:

1) Nan Hua P6 SA1 2009 Paper 1 Qn 14
Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours, the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey ?

a) 1:2
b) 1:3
c) 2:3
d) 4:3

Distance travelled by Bob in 1 hour = 1/6 of the journey
Distance travelled by Adrian in 1 hour = 1/9 of the journey

Distance travelled in 3 hours for Bob and Adrian:
Bob = 1/6x3 = 1/2 of the journey
Adrian = 1/9x3 = 1/3 of the journey

Remaining distance to be completed for Bob and Adrian:
Bob = 1/2 = 2/4 of the journey
Adrian = 2/3 of the journey

You have to make both numerators to be same as \"two men were left with the same distance to complete.\"

Ratio of the distance of Bob's journey to the distance of Adrian's journey = 4 : 3
Answer option is (d)
(Pls see notes below, answer option should be 4)

I believe the answer options given in the actual Maths exam script is in numerical option (1,2,3,4) and not alphabetical option (a,b,c,d). Pls clarify.

YLH88:

3) AiTong P6 SA1 2009 Paper 2 Qn 15
Tommy and Wilson jog on a hexagon track (6 equal sides) at 8 am. Tommy starts at point C while Wilson starts at point F. Both jog in the direction as shown by the arrows. Tommy's speed is 1.5 times Wilson's.
a) At which point will they meet ?
b) If they meet at 8.20 am, find Tommy's speed ?

http://www.postimage.org/image.php?v=aVD5NPS

Pls refer to my solution dated http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=178599#178599 and CoffeeCat's solution dated Thu May 06, 2010 11:00 p.m.Both solutions are self-explanatory and hope this helps while waiting for Mathsguru's solutions.

Thanks.