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Form 4 Mathematics Paper 1 Exam Revision Questions With Answers Set 2

Banda and Chuma live in two towns 240 km apart. One day at 9.45 a.m. Banda left his town and drove towards Chuma's town at an average speed of 60 km/h. Chuma left his town at 10.50 a.m. on the same day and drove towards Banda's town at an average speed of 80 km/h.
a) Find
I. the distance from Banda's town to the place where the two met.
II. the time they met
b) The two continued on their respective journeys until each reached his destination. Determine who reached his destination earlier and by how long.

(6m 26s)

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79. Jerusha invested sh 50 000 at the rate of 10% per annum compound interest for #2 1/2# years. Kemuto invested sh 35 000 at the rate of 15% per annum simple interest for the same period. Whose investment earned more interest and by how much?
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84. The longer parallel side of a trapezium is three times as long as the shorter parallel side. The perpendicular distance between the parallel sides is 15 cm. If the area of the trapezium is #180 cm^2#, calculate the length of its longer parallel side.
85. Three towns A, B and C are such that town B is 90 km on a bearing of 150° from town A and town C is 120 km on a bearing of 060° from town B. a) Draw a sketch showing the positions of the three towns. b) Calculate the distance between towns A and C.
86. The diagram below shows a trough which is 4 m long and has a triangular cross-section. All dimensions arc as shown on the diagram a) Calculate I. the cross-sectional area of the trough in square metres. II. the capacity of the trough in litres. b) The trough which is initially one third full of water is filled by a pipe which delivers water at the rate of 0.8 litres per second.
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