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

Three business people Kamau, Gachui and Maina agreed to contribute Kshs. 1 210 000 to start a business. The ratio of Kamau’s contribution to Gachui’s contribution is 3 : 2 while that of Gachui to Maina is 1 : 3.
a) Determine the ratio of Kamau’s contribution to Maina’s contribution.
b) Determine the amount of money contributed by Kamau.
c) They agreed to share their profits as follows;
50% to be shared in the ratio of their contributions.
40% to be retained for the running of the business.
10% to be set aside for emergencies.
If their total profit for the year 2014 was sh.704 000, determine the
i. Amount of money retained for running the business.
ii. The amount of money set aside for emergencies.
iii. The amount of received by Gachui

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78. The straight line passing through the points A(-1, 2k) and B(k, -1) is parallel to the line whose equation is 2y + 3x = 8. Find the value of k and hence write down the coordinates of A and B.
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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81. Evaluate #7 1/2 ÷3/5 of 4 1/6 +8 1/3 times1 1/5#
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83. The base areas of two cylindrical containers are #135 cm^2# and #240 cm^2# respectively. a) Determine the area scale factor and hence the linear scale factor. b) If the capacity of the smaller container is #540 cm^3#, what is the capacity of the larger container in litres?
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.
87. 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
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93. Without using logarithms or calculator, evaluate #root3((0.95 times 5.5 times 10.5)/(0.21 times2.09))#
94. Kamemia uses #1/3#of his farm for planting coffee, #1/4# for planting tea and #2/5#of the remainder for mixed farming. He still has 6 hectares of unused land. Find the size of Kamemia's land.
95. Mwaura is now twice as old as his daughter and four times as old as his son. In eight years time Mwaura's age will be equal to the sum of ages of his daughter and son. Determine Mwaura's present age.
96. The straight line passing through the point (-3, -4) is perpendicular to the line whose equation is 2y + 3x = 11, and intersects the x-axis and the y- axis at P and Q respectively. Determine the equation of the second line and hence write down the coordinates of P and Q.
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