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

The broken line (-----) indicates the BORDER between South Africa and Botswana.

The shortest route to drive from Johannesburg to the Abjaterskop Gate is via Koster, taking the N14 to Zeerust and then the R49.

Using the distances given:

Total distance from Rustenburg to Abjaterskop = 221.2 km

Distance from Rustenburg to Zeerust = 62.4 km Distance from Zeerust to Abjaterskop = 88.1 km

Distance from Zeerust to Swartruggens can be calculated as:

$ext{Distance} = 221.2 - 62.4 - 88.1 = 70.7 ext{ km}$

Therefore, the distance between Zeerust and Swartruggens is 70.7 km.

To determine the shortest route distance from Johannesburg to Swartruggens:

1. Calculate the distance from Johannesburg to Koster: 71.9 km
2. Then, from Koster to Swartruggens: 35.2 km
3. Adding these distances:

$ext{Total Distance} = 71.9 + 35.2 = 107.1 ext{ km}$

So, the shortest route distance from Johannesburg to Swartruggens is 107.1 km.

The reception building is located on the left-hand side of the road after entering.

Let the total number of cottages be indicated as 'x'.

Maximum number of guests = Number of cottages × Guests per cottage

$ext{Maximum Number of Guests} = x imes 3$

If there are 31 cottages:

$31 imes 3 = 93 ext{ guests}$

Therefore, the maximum number of guests that can be accommodated in all the cottages is 93.

To walk from the picnic site to the swimming pool:

1. Start at the picnic site and pass between reception and cottage number 17.
2. Continue past the ablution block.
3. Cross the road to the swimming pool area.
4. Turn right into the road that leads to the swimming pool, which will be on your right-hand side.

Assuming there are a total of 3 types of dive activities:

• 1 night dive
• 2 other types of dives

The probability that the activity booked was NOT a night dive is given by:

P( ext{not a night dive}) = rac{ ext{Number of not a night dives}}{ ext{Total number of dives}} = rac{2}{3} ext{ or } 0.67