Question 3 3.1
The following distance-time graph shows the journeys of a van (solid line) and a car (broken line) travelling from Cape Town to Worcester and back to Cape Town.
09:00 09:30 10:00 10:30 11:00 11:30 12:00 12:30 13:00 13:30 14:00 14:30
3.1.1 How long after the departure of the van did the car start out on its journey? (1) 3.1.2 Which of the two vehicles had the greater speed, the car or van? Justify your answer by referring to the gradients of the graphs.
(2)
3.1.3 How far had the car travelled when it overtook the van for the second time? (1) 3.1.4 Calculate, in kilometres per hour, the average speed of the car between 9:50 and 10:00.
3.1.5 During which time period was the van travelling at its greatest speed? 3.1.6 Compare the total time the trip took for the car and the van. 3.1.7 Determine the average speed of the van and the car for the entire trip.
3.2 Plot the following graphs onto the Cartesian plane, using any method: y = 3
__ 4 x − 3 and 3y − 4x = 12
Question 4 4
(2) (1) (2) (2)
(4) [15]
Given the following diagram of a house. Each opposite side is the same (this means that there is a door and window at the back and there is a window on the left side that we can’t see).
4.1
Determine the total area of the outside of the house. 4.2 Determine the volume inside the house. 342 Section 4: Teaching Mathematics
(3)
(3) [6]
TOTAL: 50 Marks
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