Tutor MathsGuru: Ask me for your burning Maths questions!

[tianzhu]

acehkr3009:

Hi,


Need some help on this question.

Not sure why question appear so small.

Here is the retype of the question:

If W & Y is the mid-point of AB and CD respectively, and Z & X are any points along AD and BC respectively. What is the fraction of the shaded portion ?

Thanks.

http://www.postimage.org/image.php?v=Ts7ucsS

Hi

I cannot read the image clearly, I am wondering if there is any indication of the relationship between Z and X in the question, eg the ratio of point Z to point X.

When I clicked at the image, I got a warning message like Opening this website may put your security at risk

Best wishes

[trytry]

Hi, need help.

This question was given as prelim practice:

Tom was driving from his office back to his house. As he was sick, he drove 20km/h slower. As a result, he reached home 10 minutes later.The distance between his office and house is 40km. What is his usual speed?

Tia.

[acehkr3009]

Hi TianZhu,


On the question sheet, there isn't any relation or ratio for Z & X.

Not sure why you can't see the image, but let me to draw the diagram with words....

ABCD is a rectangle.

AB (left) & CD (right) are the breadth of the rectangle.

W is the midpoint of AB and Y is the midpoint of CD.

Z is anypoint along AD and X is anypoint along BC.

Shaded portion is triangle ZDY.

Hope this is helpful of how the diagram look.

Not sure if this P5 question is flaw.

Thanks.


http://www.postimage.org/image.php?v=PqEgXC9

[Kiasu Friend]

acehkr3009:

Hi TianZhu,


On the question sheet, there isn't any relation or ratio for Z & X.

Not sure why you can't see the image, but let me to draw the diagram with words....

ABCD is a rectangle.

AB (left) & CD (right) are the breadth of the rectangle.

W is the midpoint of AB and Y is the midpoint of CD.

Z is anypoint along AD and X is anypoint along BC.

Shaded portion is triangle ZDY.

Hope this is helpful of how the diagram look.

Not sure if this P5 question is flaw.

I think the question is flawed or incomplete. Unless the relationship between Z and X is stated, I wonder how the area of the shaded region (vs) unshaded can be estimated. Please check with the source of this question.

Thanks.

[acehkr3009]

Tang:

atutor2001:

[quote=\"acehkr3009\"]Hi Parents,


Here is a question fr my son's math assignment, which I think may be incorrect...need your advise..

The average of a set of 4 numbers is M. If 79 is added to this set of number, the average becomes M + 3. What is the value of M?

Thanks.

Hi, if I am not wrong M=64. The working goes like this :

New average (M+3) = 79 - (3x4) = 67
Old average (M) = 67 - 3 = 64

Hi,


Total of 4 numbers --> 4M

Total of 5 numbers --> 5M + 5 x 3 = 5M + 15

So 5th number --> 5M + 15 - 4M = M + 15

M + 15 --> 79
M --> 79 - 15 = 64[/quote]Hi All,

Thanks for your speedy response and wonderful answers

[acehkr3009]

Here is another interesting questions…


The average of the 5 numbers in a list is 54. The average of the first 2 numbers is 48. What is the average of the last 3 numbers?

Really tough, need your help on this…

Thanks in advance.

[tianzhu]

acehkr3009:

Here is another interesting questions...


The average of the 5 numbers in a list is 54. The average of the first 2 numbers is 48. What is the average of the last 3 numbers?

Really tough, need your help on this....

Thanks in advance.

Hi

5*54 ----- 270
2*48 ------96
270- 96 -- ----174
174/3 ------58

Best wishes

[tianzhu]

trytry:

Hi, need help.

This question was given as prelim practice:

Tom was driving from his office back to his house. As he was sick, he drove 20km/h slower. As a result, he reached home 10 minutes later.The distance between his office and house is 40km. What is his usual speed?

Tia.

Hi

Try Guess and Check

40/60 ---2/3h ----- 40min
40/80 --- 1/2h -----30min

Difference -----10min -----OK

Therefore speed -----80km/h

Best wishes

[acehkr3009]

Hi,


Here is another question:

The ratio of Apples to Pears in a fruit stall is 5 : 8. If 60% of the pears are sold, what percentage of the apples must be sold for the number of pears and apples in the stall to be the same?

Appreciate with Thanks.

[acehkr3009]

tianzhu:

acehkr3009:

Here is another interesting questions...


The average of the 5 numbers in a list is 54. The average of the first 2 numbers is 48. What is the average of the last 3 numbers?

Really tough, need your help on this....

Thanks in advance.

Hi

5*54 ----- 270
2*48 ------96
270- 96 -- ----174
174/3 ------58

Best wishes

Many thanks.

Solution looks simple, but when I am trying it at first, brain just got stuck and freeze!

You are really fantastic!