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Thursday, September 21 2017 @ 06:05 PM CDT
 Forum Index >  Test Paper Related >  Primary 6 Matters
 P6 Maths! 2012 Tao Nan School SA1 Paper 1 Q13 & Q15
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By: geniuskids (offline)  Saturday, May 04 2013 @ 10:44 AM CDT (Read 1850 times)  
geniuskids

Hi there, pls help with the above 2 questions! Thank you!

(13) Rate Question - It takes 60 painters to paint a school. How many painters are required to paint the same school in 20 days?

(1) 36
(2) 40
(3) 100
(4) 180

My answer is 100
Answer Sheet aswer is (1) 36.

I'm puzzled. BTW, is there a standrard formula for rate ?

(15) Pls refer to diagram (a star figure)

Many thanks

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By: echeewh (offline)  Sunday, May 05 2013 @ 12:52 AM CDT  
echeewh

Hey there,

Following is my response and worked solutions:


Q13

Theres Missing info in question. Question is as follows:

It takes 60 painters 12 days to paint a school. How many painters are required to paint the same school in 20 days?

Logically , the possible answers to this question are (1) or (2). Reason being that less painters would be required to paint the same school in a longer duration.

The principle behind this kind of "Rate" question is to determine the 'work rate' (i.e. how much or what portion of the school is painted by a painter in day? ). The same goes with another typical example, to determine how much of the container or tank is filled up with water or any liquid in 1 day.

Worked Solution:

60 painters -> 12 days -> 1 whole school
60 painters -> 1 day -> (1/12) school
1 painter -> 1 day -> (1/720) school
1 painter -> 20 days -> (1/36) school
36 painters -> 20 days -> (36/36) school

Ans: 36 painters (1)

========

Q15

Refer to attached figure in question.

In Triangle FKE:

Angle FEK = d (as given)
Angle EFK = a + c {Exterior Angle of triangle = Sum of Interior Opposite Angles}
Angle EKF = b + e {Exterior Angle of triangle = Sum of Interior Opposite Angles}

Hence, a + b + c + d + e = 180° (2)

========

Trust this helps.

Do let me know again if there's further clarification.

Cheers,
Edward

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