KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 Mathematics
A plane flying at 200 knots left an airport A (30^{0}S, 31^{0}E) and flew due North to an airport B ( 30^{0} N, 31^{0}E)
Answer
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Form 3 Mathematics
The probability of three darts players Akinyi, Kamau, and Juma hitting the bull's eye are 0.2, 0.3 and 1.5 respectively.
Form 4 Mathematics
(a) Complete the following table for the equation y = x^{3} + 2x^{3}
Answer
Form 4 MathematicsForm 3 MathematicsForm 3 Mathematics
The figure below shows a parallelogram OPQR with O as the origin, OP = p and OR = r, Point T divides RQ in the ratio 1: 4 PT Meets OQ at S.
(a) Express in terms of p and r the vectors
Form 4 MathematicsForm 3 Mathematics
The table shows income tax rates
A company employee earn a monthly basic salary of Kshs 30,000 and is also given taxable allowances amounting to Kshs 10, 480.
Form 2 Mathematics
The position vectors for points P and Q are 4i + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, leaving your answer in simplified form.
Form 2 Mathematics
A town N is 340 km due west of town G and town K is due west of town N. A helicopter Zebra left G for K at 9.00 am. Another helicopter Bufalo left N for K at 11.00 am. Helicopter Buffalo traveled at an average speed of 20 km/ h faster than Zebra. If both helicopters reached K at 12.30 pm find the speed of helicopter Buffalo.
Form 1 MathematicsThe interior angles of the hexagon are 2x^{0}, ½ x^{0} + 40^{0}, 110^{0}, 130^{0} and 160^{0}. Find the value of the smallest angle. Form 3 MathematicsForm 4 MathematicsGiven that sin ( x + 30)^{0} = cos 2x^{0} for 0^{0}, 0^{0} ≤ x ≤90^{0} find the value of x. Hence find the value of cos^{2}3x^{0}. Form 4 MathematicsForm 3 Mathematics
A poultry farmer vaccinated 540 of his 720 chickens against a disease. Two months later, 5% of the vaccinated and 80% of the unvaccinated chicken, contracted the disease. Calculate the probability that a chicken chosen random contacted the disease.
Form 1 MathematicsUse a ruler and compasses in this question. Draw a parallegram ABCD in which AB = 8 cm, BC = 6 cm and ∠BAD = 75^{0}. By construction, determine the perpendicular distance between AB and CD. Form 2 MathematicsThe length of a room is 4 metres longer its width. Find the length of the room if its area is 32cm^{2} Form 2 MathematicsA line L_{1} passes though point (1,2) and has a gradient of 5. Another line L_{2}, is perpendicular to L_{1} and meets it at a point where x = 4. Find the equation for L_{2} in the form of Y = Mx + C Form 2 MathematicsForm 2 MathematicsForm 4 Mathematics
A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs 160 for a special seat. It cost Kshs 16,000 to stage a show and the theater must make a profit. There are never more than 200 ordinary seats and for a show to take place at least 50 ordinary seats must be occupied. The number of special seats is always less than twice the number of ordinary seats.
Form 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.

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