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

A trader sold an article at sh 3 600 after allowing his customer a 10% discount on the marked price of the article. In so doing he made a profit of 50%.
a) Calculate
i. the marked price of the article.
ii. the price at which the trader had bought the article.
b) If the trader had sold the same article without giving a discount, calculate the percentage profit he would have made.
c) To clear his stock the trader decided to sell the remaining articles at a loss of 15%. Calculate the price at which he sold each article.

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60. Six men take 10 days to plant 480 trees. Find how many trees 9 men can plant in 8 days.
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70. A trader sold an article at sh 3 600 after allowing his customer a 10% discount on the marked price of the article. In so doing he made a profit of 50%. a) Calculate i. the marked price of the article. ii. the price at which the trader had bought the article. b) If the trader had sold the same article without giving a discount, calculate the percentage profit he would have made.
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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#
82. The marked price of some goods was sh 480 000. A salesman sold these goods at a discount of #2 1/2 %#. He received sh 18 720 as commission on the sale. At what percentage rate of commission was he paid?
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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90. At the end of year 2000 a cooperative society realised a gross income of sh 33.5 million. The total expenses incurred by the society during that year was sh 20.75 million. Each year 60% of the net income is paid to members as dividends which is calculated per share. During the year 2001 the society's gross income increased by 30% while its total expenditure decreased by 20%.
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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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