KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 3 MathematicsForm 4 MathematicsThe diagram below is a sketch of the curve y =x^{2} + 5.
Form 2 MathematicsForm 4 MathematicsForm 2 Mathematics
A rectangular tank whose internal dimensions are 1.7m by 1.4m by 2.2m is three – quarters full of milk.
Form 4 MathematicsThe velocity Vms^{1} of particle in motion is given by V =3t^{2} – t +4, where t is time in seconds. Calculate the distance traveled by the particle between the time t=1 second and t=5 seconds. Form 2 MathematicsThree points O, A and B are on the same horizontal ground. Point A is 80 metres to the north of O. Point B is located 70 metres on a bearing of 060^{0} from A. A vertical mast stands at point B. The angle of elevation of the top of the mast from o is 20^{0}. Calculate: a) The distance of B from O. (2mks) b) The height of the mast in metres (2mks) Form 1 Mathematics
Form 2 MathematicsThe length of a hallow cylindrical pipe is 6 metres. Its external diameter is 11cm and has a thickness of 1cm. Calculate the volume in cm^{3} of the material used to make the pipe. Take П as 3.142 Form 2 Mathematics
Two straight paths are perpendicular to each other at point p.One path meets a straight road at point A while the other meets the same road at B. Given that PA is 50 metres while PB is 60 metres. Calculate the obtuse angle made by path PB and the road.
Form 1 MathematicsForm 2 Mathematics
The length of a solid prism is 10cm. Its cross section is an equilateral triangle of side 6cm.
Find the total surface area of the prism. Form 3 Mathematics
There are three cars A,B and C in a race. A is twice as likely to win as B while B is twice as likely to win as c. Find the probability that.
Form 1 Mathematics
Using a ruler and a pair of compasses only.
a) Construct triangle ABC in which BC = 8cm, angle ABC = 105^{0} and BAC =45^{0}
b) Drop a perpendicular from A to meet CB produced at p. Hence find the area of triangle ABC. Form 3 Mathematics
Solve the equation 3tan 2x – 4tan x  4 = 0 for 0^{0} ≤ x ≥ 180^{0 } (4mks)
Form 3 Mathematics
Give that x = 2i +j – 2k,y =  3i +4j –k and z =  5i +3j +2k and that p = 3x – y +2z. Find the magnitude of vector p to 3 significant figures.
Form 2 MathematicsForm 3 Mathematics
A water pump costs Kshs. 21600 when new. At the end of first year its value depreciates by 25%. The depreciation by the second year is 20% and thereafter the rate of the depreciation is 15% yearly. Calculate the exact value of the water pump at the end of the fourth year.
Form 1 Mathematics 
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