waec model questions vol1 2022 geography | Practical

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Question 1 View Details
A topographic map of a district is drawn at a scale of 1 cm : 250 m. The map shows three settlements: A, B and C. The straight‑line distances measured on the map are: AB = 6.4 cm, AC = 8.0 cm and BC = 5.0 cm. The map also shows a river that runs between points D and E, which are located on the map such that the line DE is 3.2 cm long and makes an angle of 30° clockwise from the line AB. The bearing of AB from A is 045° (measured clockwise from north).
Question Parts
(a)
Determine the actual ground distances between the settlements A–B, A–C and B–C in metres.
(b)
Using the given information, calculate the bearing of the river line DE from point A, giving your answer to the nearest degree.
(c)
The triangular region formed by settlements A, B and C is required for planning. Using Heron’s formula, compute the actual area of the triangle in square kilometres, giving the answer to two decimal places.
(d)
State two possible sources of error that could affect the accuracy of the area calculated from the map.
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Question 2 View Details
A map of a region is drawn at a representative fraction of 1 : 50 000. A newly constructed road is shown as a curved line that has been approximated on the map by three straight segments. The lengths of the segments measured on the map are 2.5 cm, 3.0 cm and 1.5 cm respectively. The interior angles between the first and second segments and between the second and third segments are 40° and 55°. An inset on the same sheet shows a rectangular park adjacent to the road. The inset uses a different scale of 1 cm : 180 m. On the inset the park measures 4.0 cm in length and 2.5 cm in width. The cost of resurfacing the road is ₦12 500 per kilometre.
Question Parts
(a)
Determine the total actual length of the road in kilometres.
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Question 3 View Details
A topographic map of a local area has a scale of 1 cm : 250 m. On the map the straight‑line distance between Town A and Town B is measured as 6.4 cm. A vehicle travels from A to B at an average speed of 45 km/h. State the actual distance between the towns, calculate the travel time, and list two possible sources of error in the distance measurement.
Question Parts
(a)
State the actual distance between Town A and Town B in kilometres.
(b)
Calculate the travel time for the journey at 45 km/h. Express your answer in minutes.
(c)
Mention any two sources of error that could affect the distance obtained from the map.
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Question 4 View Details
The following coordinates were recorded during a field survey: Location X: 6° 45' N, 3° 30' E Location Y: 7° 10' N, 4° 05' E Assume the Earth is a sphere of radius 6371 km.
Question Parts
(a)
Calculate the approximate great‑circle distance between X and Y using the spherical law of cosines. Show all steps.
(b)
Determine the initial bearing (azimuth) from X to Y to the nearest degree.
(c)
Suggest one practical implication of this bearing for a field team travelling from X to Y.
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