KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 MathematicsSolve the equation 4 sin^{2} Ө+4 cos Ө =5 For 0^{o} ≤ Ө ≥ 360^{o } give the answer in degrees
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Form 4 Mathematics
Bot juice Company has two types of machines, A and B, for juice production. Type A machine can produce 800 litres per day while type B machine produces 1,600 litres per day.
Type A machine needs 4 operators and type B machine needs 7 operators. At least 8,000 litres must be produced daily and the total number of operators should not exceed 41. There should be 2 more machines of each type. Let x be the number of machines of type A and Y the number of machines for type B,
Form 2 Mathematics
The diagram below represents a pillar made of cylindrical and regular hexagonal parts. The diameter and height of the cylindrical part are 1.4m and 1m respectively. The side of the regular hexagonal face is 0.4m and height of hexagonal part is 4m.
Form 4 MathematicsThe displacement x metres a particle after seconds given by:
x = t^{3} 2t^{2} + 6t > 0.
Form 4 Mathematics
a) Complete the table given below in the blank spaces.
Give your answer to the nearest degree.
Form 2 MathematicsAn electric pylon is 30m high. A point S on top of the pylon is vertically above another point on the ground . Points A and B are on the same horizontal ground as R. Point A is due south of the pylon and the angle of elevation of S from A is 26^{0}. Point B is due west of the pylon and the angle of elevation of S from B is 32^{0}.
Form 3 Mathematics
The nth term of a sequence is given by 2n+3
S_{n} = n^{2} +4n Form 2 MathematicsThe marks obtained by 10 pupils in an English test were 15,14,13,12,P,16,11,13,12 and 17.The sum of the squares of the marks, ∑x = 21,794
Form 1 MathematicsA helicopter is stationed at an airport H on a bearing 060^{o} and 800km from another airport P.A third airport is J is on bearing of 140^{0} and 1,200km from H. Determine:
Form 4 Mathematics
aNSWER
Form 4 Mathematics
The diagram below represents a field PQR
Form 2 MathematicsGiven that tan 75^{0} = 2 + √3, find without using tables tan 15^{0} in the form p + q√m, where p,q and m are integers. Form 2 MathematicsForm 3 MathematicsExpand (2 + x)^{5} in ascending powers of x up to the term in x^{3}. Hence, approximate the value of (2.03)^{5} to 4 s.f. Form 4 MathematicsForm 4 Mathematics
A translation maps a point P (3,2) onto P’ (95,5)
Form 3 Mathematics
A telephone bill includes Ksh.4,320 for local calls, Ksh.3,260 for trunk calls and a rental charge of Kshs.2,080 .A value added tax (V.A.T.) is then charge at 15%.
Form 1 MathematicsThree people Odawa, Mliwa and Amina contributed money to purchase a flour mill. Odawa contributed ⅓ of the total amount, Mliwa contributed ⅜ of the remaining amount and Amina contributed the rest of the money. The difference in contribution between Mliwa and Amina was sh.40,000. Calculate the price of the flour mill. Form 3 Mathematics
A curve is given by the equation: u = 5x^{3} – 7x^{2} + 3x +2) Gradient of the curve at x = 1
Form 2 MathematicsForm 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
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.

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