# PT3 Mathematics 2016, Question 10

 
Question 10 (a):
Diagram 10.1 is a pie chart showing Ahmad’s monthly expenses.

(i) State the mode.
(ii) The following data are the height of students in a class.
132 cm, 125 cm, 137 cm, 130 cm, 128 cm
Calculate the mean.

Solution:
(i) Food

(ii)

 
 
 
Question 10 (b):
Diagram 10.2 shows a polygon HABCD and a square JKLM.
(i) Under a transformation, polygon HABCD will be transformed such that the image will be placed inside the square JKLM. The image formed based on the following conditions:

Suggest one possible complete transformation.
(ii) Using the transformation that you have suggested in (b)(i), mark the new position of point W in Diagram 10.2.

Solution:
 (i)
 

(ii)

 
 
 
Question 10 (c):
Diagram 10.3 shows a car route from P to S. The driver starts the journey from P. When he reaches R, he turns back and travels ¼ the distance of P to R and then he continues to S to finish his journey.

Table 10 shows the distance between the destinations.

Assuming that the distance travelled in the journey when the driver turns back as a wasted distance, calculate the fraction of the wasted distance to the distance of the whole journey.

Solution:
The text passage contains multiple questions from a mathematics exam, each with sub-questions, and some of the questions have partial solutions provided.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# PT3 Mathematics 2016, Question 10

 
Question 10 (a):
Diagram 10.1 is a pie chart showing Ahmad’s monthly expenses.

(i) State the mode.
(ii) The following data are the height of students in a class.
132 cm, 125 cm, 137 cm, 130 cm, 128 cm
Calculate the mean.

Solution:
(i) Food

(ii)

 
 
 
Question 10 (b):
Diagram 10.2 shows a polygon HABCD and a square JKLM.
(i) Under a transformation, polygon HABCD will be transformed such that the image will be placed inside the square JKLM. The image formed based on the following conditions:

Suggest one possible complete transformation.
(ii) Using the transformation that you have suggested in (b)(i), mark the new position of point W in Diagram 10.2.

Solution:
 (i)
 

(ii)

 
 
 
Question 10 (c):
Diagram 10.3 shows a car route from P to S. The driver starts the journey from P. When he reaches R, he turns back and travels ¼ the distance of P to R and then he continues to S to finish his journey.

Table 10 shows the distance between the destinations.

Assuming that the distance travelled in the journey when the driver turns back as a wasted distance, calculate the fraction of the wasted distance to the distance of the whole journey.

Solution:
user
The text passage contains multiple questions from a mathematics exam, each with sub-questions, and some of the questions have partial solutions provided.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS