Question 1: Plot the graph of y = 2x for x from 0 to 5. Label the points.

Answer: Students will draw and label points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10)

Question 2: Construct a straight line on the graph representing a distance that increases uniformly from 0 to 10 km over 5 hours.

Answer: Line from (0,0) to (5,10)

Question 3: Plot the points corresponding to a journey where distance traveled is 0 km at 0 hours, 4 km at 1 hour, 8 km at 2 hours, and 12 km at 3 hours. Connect these points with a straight line.

Answer: Points: (0,0), (1,4), (2,8), (3,12)

Question 4: Draw a graph showing a car that starts 5 km away from the start point and moves away at 2 km/h for 4 hours. Indicate the starting point clearly.

Answer: Line starting at (0,5), rising with slope 2, ending at (4,13)

Question 5: Describe the features of a distance-time graph that shows a vehicle traveling at constant speed, then stopping, then resuming movement.

Answer: A straight, upward-sloping segment, a flat horizontal segment, then another upward-sloping segment.

Question 6: Given a graph where the line rises steeply, then flattens, then rises again gently, explain what each part indicates about the object's movement.

Answer: Steep rise indicates high speed, flat indicates no movement, gentle rise indicates slower speed.

Question 7: Construct a distance-time graph for a cyclist who covers 10 km in the first 2 hours, pauses for 1 hour, then covers another 8 km in the next 2 hours.

Answer: Line segments: from (0,0) to (2,10), horizontal from (2,10) to (3,10), then from (3,10) to (5,18)

Question 8: Identify and correct the mistake: A student drew a graph with a decreasing line from (0,0) to (4,8), claiming it shows increasing distance.

Answer: The line decreases, indicating decreasing distance, which is incorrect for increasing distance; they should draw an upward-sloping line.

Question 9: Plot a graph showing an object that moves at 3 km/h for 3 hours, then stops for 2 hours, then moves at 1 km/h for 2 hours. Label the key points.

Answer: Points: (0,0), (3,9), (3,9), (5,11)

Question 10: Explain how the gradient of a distance-time graph relates to speed, using an example from the graph you have drawn.

Answer: A steeper gradient indicates higher speed; for example, a line rising from 0 to 10 km in 2 hours has a gradient of 5 km/h, showing higher speed than a line rising from 0 to 5 km in 2 hours (gradient 2.5 km/h).