Give the general direction of Worcester from Clanwilliam.

Clanwilliam is in the north, and Worcester is in the south-east.

From Clanwilliam, Worcester is generally to the South-East.

The general direction of Worcester from Clanwilliam is $\boxed{\text{South-East}}$.

4.2.2

Actual distance = $246 \text{ km}$
Map distance = $82 \text{ mm}$

The scale is the ratio of map distance to actual distance.

Convert kilometres to millimetres: $1 \text{ km} = 1000 \text{ m} = 1\,000\,000 \text{ mm}$.

Now, the scale is:

Divide both sides by 82 to get a unit ratio:

The scale of the map is $\boxed{1:3\,000\,000}$.

4.2.3

Distance = $246 \text{ km}$
Speed = $105 \text{ km/h}$

The whole number part is 2 hours.
The decimal part is $0,342857 \text{ hours}$.

Rounding to the nearest minute, this is 21 minutes.

It will take Nandipha's aunt approximately $\boxed{2 \text{ hours and } 21 \text{ minutes}}$.

4.2.4

Departure time = 13:50
Travel time = 2 hours and 21 minutes (from 4.2.3)

Start with hours: $13 \text{ hours} + 2 \text{ hours} = 15 \text{ hours}$.
Start with minutes: $50 \text{ minutes} + 21 \text{ minutes} = 71 \text{ minutes}$.

$71 \text{ minutes} = 1 \text{ hour and } 11 \text{ minutes}$.
Add this 1 hour to the 15 hours: $15 \text{ hours} + 1 \text{ hour} = 16 \text{ hours}$.
So, the arrival time is 16 hours and 11 minutes.

Nandipha's aunt will arrive at the Art Exhibition at $\boxed{16:11}$.

4.2.5

Fuel consumption rate = $7,5 \text{ litres per } 100 \text{ km}$.

The increased consumption is $22,14 \text{ litres}$.
The aunt insists she will use less than 20 litres.
Since $22,14 \text{ litres} > 20 \text{ litres}$, her insistence is incorrect.

I $\boxed{\text{do not agree}}$ with her. She will use $22,14 \text{ litres}$, which is more than 20 litres.

4.2.6

The exhibition starts at 16:00. She arrives at 16:11 if she leaves at 13:50. This means she would already be late.
Factors that could cause further delays or make her even later include:

• Traffic congestion
• Road construction or detours
• Unexpected vehicle issues (e.g., flat tire)
• Needing to stop for fuel or rest
• Getting lost or taking a wrong turn
• Weather conditions (e.g., rain, fog)

One factor Nandipha's aunt should consider is $\boxed{\text{traffic congestion}}$.