4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1
Question 4
4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate.
Below is a map indicating... show full transcript
Worked Solution & Example Answer:4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1
Step 1
4.1.1 Give the general direction of the Madikwe Game Reserve from Johannesburg.
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Answer
The general direction of the Madikwe Game Reserve from Johannesburg is North West (NW).
Step 2
4.1.2 State what the broken line (-----) represents on the map.
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The broken line indicates the BORDER between South Africa and Botswana.
Step 3
4.1.3 Name the shortest route that could be used to drive from Johannesburg to the Abjaterskop Gate.
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The shortest route from Johannesburg to the Abjaterskop Gate is via the N14, taking the exit at Zeerust.
Step 4
4.1.4 Calculate the distance between Zeerust and Swartruggens if the total distance from Rustenburg to the Abjaterskop Gate is 221.2 km.
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To find the distance between Zeerust and Swartruggens, subtract the distance from Rustenburg to Zeerust (approximately 64.2 km) and the distance from Swartruggens to the Abjaterskop Gate (approximately 88.1 km) from the total distance:
Distance = 221.2 km - 64.2 km - 88.1 km = 70.7 km
Step 5
4.1.5 Determine the shortest route distance from Johannesburg to Swartruggens. Show ALL calculations.
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To determine the shortest route from Johannesburg to Swartruggens, add the distances along the route: 71.9 km (Johannesburg to Magaliesburg) + 35.2 km (Magaliesburg to Koster) = 107.1 km. Next, add the distance from Koster to Swartruggens which is approximately 70 km. Therefore, the total distance:
Total Distance = 107.1 km + 70 km = 177.1 km.
Step 6
4.2.1 Identify on which side of the road they will find the reception building after they entered.
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The reception building is located on the left-hand side of the road.
Step 7
4.2.2 If each of the cottages can accommodate 3 guests, calculate the maximum number of guests that can be accommodated in ALL the cottages in the camp.
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If there are 31 cottages and each can accommodate 3 guests, the maximum number of guests is:
Maximum Guests = 31 imes 3 = 93 guests.
Step 8
4.2.3 Explain in detail the route a person should follow to walk from the picnic site to the swimming pool.
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To walk from the picnic site to the swimming pool, follow this route:
Walk past reception and cottage number 17.
Continue past the ablution block and cross the road to the swimming pool, which will be on your right-hand side.
Step 9
4.2.4 Determine the probability that the activity booked was NOT a night dive.
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Let P(not a night dive) = rac{Total activities - Night dives}{Total activities} = rac{Total activities - 2}{Total activities} = rac{66.67 ext{%}}{100 ext{%}} = 0.67.
