KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Using ruler and compasses only, construct a parallelogram ABCD such that AB = 10cm, BC = 7cm and ∠ABC = 1050. Also construct the loci of P and Q within the parallel such that AP ≤ 4 cm, and BC ≤ 6 cm. Calculate the area within the parallelogram and outside the regions bounded by the loci.
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A part B is on a bearing of 0800 from a port A and at a distance of 95 km. A submarine is stationed at a port D, which is on a bearing of 2000 from AM and a distance of 124 km from B. A ship leaves B and moves directly southwards to an island P, which is on a bearing of 140 from A. The submarine at D on realizing that the ship was heading fro the island P, decides to head straight for the island to intercept the ship.
​Using a scale of 1 cm to represent 10 km, make a scale drawing showing the relative positions of A, B, D, P. ( 2 marks)
Hence find
A hillside is in the form of a plane inclined at an angle of 300 to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.
The probabilities that a husband and wife will be alive 25 years from now are 0.7 and 0.9 respectively.Find the probability that in 25 years time,
The table below shows high altitude wind speeds recorded at a weather station in a period of 100 days.
A circular path of width 14 metres surrounds a field of diameter 70 metres. The path is to be carpeted and the field is to have a concrete slab with an exception of four rectangular holes each measuring 4 metres by 3 metres. A contractor estimated the cost of carpeting the path at Kshs. 300 per square metre and the cost of putting the concrete slab at Kshs 400 per square metre. He then made a quotation which was 15% more than the total estimate. After completing the job, he realized that 20% of the quotation was not spent. |
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