Subject: Mathematics                                                                                      Class:

Date:                                                          Due Date :

Student’s Name: ——————— ————————————————————-

• Answer all questions on A4 papers using ‘Times new roman’ font 12 spacing 1.5.
• Graphs should be plotted both;
• On graph paper using a pencil 0.5mm
• Using technology (GeoGebra)
• Your work will be assessed based on criteria C and D. Refer to descriptors on the following pages.

Level:

Criterion C (Max 8)                                  Criterion D (Max 8)

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Teacher’s signature:                                                                                                             Supervisor ‘s / Leader’s signature:

Ahmed and Hassan, who live 3 km away from their school, were waiting one morning at 7:00 am for the school bus. After 10 minutes Ahmed decided to walk to school while Hassan decided to wait. Walking at a constant speed, Ahmed arrived at precisely 8:10 am, he found Hassan already there. Hassan told him that the bus had arrived at 7:25 am and moving at a constant speed, reached school at 8:00 am.

1. On a graph paper and on geogebra, using a scale of 1cm for 5 minutes on the horizontal-axis and 4cm for 1Km on the vertical-axis, model the situation above (both journeys).
• From your graph determine the following:
1. The time at which Ahmed passed by the bookshop which is 500m away from their house.
1. The time and distance where Hassan (in the bus) passed by Ahmed.

Give your answers to a reasonable degree of accuracy and justify this degree of accuracy

• Are there any other methods which can be used to answer question 2? Explain your answer.
• Suggest ways by which you can improve the first method in order to obtain more accurate results.

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Best Wishes J

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