KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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,
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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 = t3- 2t2 + 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 260. Point B is due west of the pylon and the angle of elevation of S from B is 320.
Form 3 Mathematics
The nth term of a sequence is given by 2n+3
Sn = n2 +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 060o and 800km from another airport P.A third airport is J is on bearing of 1400 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 750 = 2 + √3, find without using tables tan 150 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 x3. 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 = 5x3 – 7x2 + 3x +2) Gradient of the curve at x = 1
Form 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.
Form 4 Mathematics
The line segment BC given below is one side of triangle ABC
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