The floor plan of a house on sale in Johannesburg is shown on ANNEXURE A - NSC Mathematical Literacy - Question 3 - 2016 - Paper 1
Question 3
The floor plan of a house on sale in Johannesburg is shown on ANNEXURE A. Study the floor plan and the information given to answer the questions that follow.
1' = 30... show full transcript
Worked Solution & Example Answer:The floor plan of a house on sale in Johannesburg is shown on ANNEXURE A - NSC Mathematical Literacy - Question 3 - 2016 - Paper 1
Step 1
3.1.1 Determine the total number of doors that can be seen on the floor plan.
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Answer
To find the total number of doors visible on the floor plan, count each door symbol shown. Based on the floor plan, there are 21 doors including those that comprise wardrobe doors. Thus, the total number of doors is 21.
Step 2
3.1.2 Give the general direction of the bedroom measuring 11' x 10'4" from the porch.
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Answer
The general direction of the bedroom can be described as North-West, based on its position relative to the porch on the floor plan.
Step 3
3.1.3 Calculate the dimensions of the bedroom measuring 11' x 10'8" in metres.
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Answer
To convert the dimensions from feet to metres:
For 11 feet:
11′=11imes30.48extcm=335.28extcm=3.3528extm
For 10'8":
10′8"=10.67imes30.48extcm=326.46extcm=3.2646extm
Thus, the dimensions of the bedroom in metres are approximately 3.35 m x 3.26 m.
Step 4
3.1.4 Determine the scale used in the form of 1 : ...
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Answer
From the problem statement, the scale is given as 1.5 cm representing 3.375 m on the building. To determine the scale:
We express this in the form of 1 : X where X is the number of metres represented by 1 cm on the scale.
1.5extcm:3.375extm=1:(3.375/1.5)extm=1:2.25
Thus, the scale of the floor plan is 1 : 225.
Step 5
3.2.1 Mr Dan departed from East London. Write down the departure time from East London and arrival time.
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Answer
Mr. Dan departed from East London at 09:00 on Friday, arriving in Johannesburg at 11:15 on Saturday.
Step 6
3.2.2 Identify the station where Shosholoza-Meyl train stopped for the longest duration.
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The station where the Shosholoza-Meyl train stopped for the longest duration is Burgersdorp.
Step 7
3.2.3 Calculate the average speed of the journey (East London–Johannesburg).
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Answer
Calculating total time:
Total journey time = 24:00 - 09:00 = 3 hours and 33 minutes = 3.55 hours
To find the distance, we use:
extDistance=992extkm
