KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
Form 2 Mathematics
The diagram below shows a right pyramid VABCD with V as the vertex. The base of the pyramid is rectangle ABCD, WITH ab = 4 cm and BC= 3 cm. The height of the pyramid is 6cm.
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Form 4 Mathematics
The transformation R given by the matrix
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The diagram below shows a garden drawn to scale of 1: 400. In the garden there are already tow trees marked A and B. The gardener wises to plant more trees. There are a number of rules he wishes to apply.
Rule 1: Each new tree must be an equal distance from both trees A and B.
Rule 2: Each new tree must be at least 4 m from the edges of the garden. Rule 3: Each new tree is at least 14 m from tree B.
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Form 2 MathematicsForm 1 Mathematics
A tower is on a bearing of 030^{0} from a point P and a distance of elevation of the top is 15^{0} and the angle of depression of the foot of the tower is 1^{0}.
Form 1 Mathematics
A retailer bought 49 kg of grade I rice at Kshs. 65 per kilogram and 60 kg of grade II rice at Kshs 27.50 per kilogram. He mixed the two types of rice.
Form 4 MathematicsFind the equation of the tangent to the curve Y = (x^{2} + 1) (x  2) when x = 2 Form 3 Mathematics
A construction firm has tractors T1 and T2. Both tractors working together can complete a piece of work in 6 days while T1 alone can complete the work in 15 days. After two tractors had worked together for four days, tractor T1 broke down.
Find the time it takes tractor T2 to complete the remaining work. Form 3 Mathematics
The points P. Q and R lie on a straight line. The position vectors of P and R are 2i + 2j + 13k and 5i – 3j + 4k respectively. Q divides PR internally in the ratio 2:1
Find the (a) Position vector of Q. Form 1 Mathematics
The number of people who attended an agricultural show in one day was 510 men, 1080 women and some children. When the information was represented on a pie chart, the combined angle for the men and children was 216^{0}. Find the angle representing the children.
Form 3 Mathematics
8s^{2} + 2s – 3 = 0
Hence solve the equation 8 sin^{2}Ө + 2sinӨ  3 = 0 for 0^{0} ≤ θ ≤ 180^{0} Form 3 MathematicsUse binomial expression to evaluate (0.96)^{5} correct to 4 significant figures Related QuestionsForm 2 Mathematics
Two towns A and B are 220 km apart. A bus left town A at 11. 00 a.m. and traveled towards B at 60 km/h. At the same time, a matatu left town B for town A and traveled at 80 km/h. The matatu stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the matatu.
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The equation of a line is
\[\frac{3}{5}x + 3y = 6\]
Find the:
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Solve for x
\[(log_{3}x^{2})  \frac{1}{2} log_{3} = \frac{3}{2}\]
In the month of January, an insurance salesman earned Kshs 6750 which was a commission of 4.5% of the premium paid to the company.
The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3:5 respectively
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1The graph below consists of a non quadratic part ( 0 ≤ x ≤ 2) and a quadrant part ( 2 ≤ x 8) The quadratic part is y = x^{2} – 3x + 5, 2 ≤ x ≤ 8
(a) Complete the table below (1 mark)
