KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 4 Mathematics
The diagram below shows a straight line intersecting the curve y = (x1)2 + 4
At the points P and Q. The line also cuts xaxis at (7,0) and y axis at (0,7)
Form 3 MathematicsDuring a certain motor rally it is predicted that the weather will be either dry (D) or wet (W). The probability that the weather will be dry is estimated to be ^{7}_{/10}. The probability for a driver to complete (C) the rally during the dry weather is estimated to be ^{5}/_{6.} The probability for a driver to complete the rally during wet weather is estimated to be ^{1}_{/10. } Complete the probability tree diagram given below.
What is the probability that:
Form 3 Mathematics
A house is to be sold either on cash basis or through a loan. The cash price is sh.750,000. The loan conditions area s follows: there is to be down payment of 10% of the cash price and the rest of the money is to be paid through a loan at 10% per annum compound interest.
A customer decided to but the house through a loan.
Related Questions and Answers on Commercial Arithmetic IIForm 3 MathematicsForm 4 MathematicsGiven the curve y = 2x^{3} + ½x^{2} – 4x + 1. Find the:
Form 2 Mathematics
The internal and external diameters of a circular ring are 6cm and 8cm respectively. Find the volume of the ring if its thickness is 2 millimetres.
Form 3 Mathematics
Chords XY and PQ of a circle intersect at a point M inside the circle. Given that MX = 8cm, XY = 14cm and MP = 4cm, Calculate the length of MQ. (2mks)
Form 2 MathematicsForm 3 MathematicsA minor sector of a circle of radius 28cm includes an angle of 135^{0} at the center. a) (i) convert 135^{0} into radians. Hence of otherwise find the area of the sector. ii) Find the length of the minor arc. b) The sector is folded to form a right circular cone. Calculate the : i) Radius of the cone ii) Height of the cone. (Take the value of ÐŸ to be ^{22}/_{7}) (8mks) Form 4 MathematicsA triangle T whose vertices are A (2,3) B(5,3) and C (4,1) is mapped onto triangle T^{1} whose vertices are A^{1} (4,3) B^{1} (1,3) and C^{1} (x,y) by a transformation Find the: (i) Matrix M of the transformation (ii) Coordinates of C_{1} _{ }b) Triangle T^{2} is the image of triangle T^{1} under a reflection in the line y = x. Find a single matrix that maps T and T^{2} (8mks) Form 1 Mathematics
In this question use a ruler and a pair of compasses
Line PQ drawn below is part of a triangle PQR. Construct the triangle PQR in which
a) < QPR = 300 and line PR = 8cm b) On the same diagram construct triangle PRS such that points S and Q are no the opposite sides of PR<PS = PS and QS = 8cm c) A point T is on the a line passing through R and parallel to QS.If <QTS =90^{0}, locate possible positions of T and label them T^{1 }and T^{2}, Measure the length of T^{1}T^{2}. Form 2 Mathematics
The figure below represents a right prism whose triangular faces are isosceles. The base and height of each triangular face are 12cm and 8cm respectively. The length of the prism is 20cm.
Calculate the:
Form 1 MathematicsForm 1 MathematicsForm 3 Mathematics
The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its like value was sh 150,700. Find its value at the start of the three – year period.
Form 2 Mathematics
Solve the following inequalities and represent the solutions on a single number line:
3 – 2x < 5 4 – 3x ≥ 8 Form 1 Mathematics
A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche Marks. Find the value of the watch in:
(a) Swiss Francs. (b) Kenya Shillings Use the exchange rates below: 1 Swiss Franc = 1.28 Deutsche Marks. 1 Swiss Franc = 45.21 Kenya Shillings Form 3 Mathematics
The position vectors of points X and Y are
x = 2i + j – 3k and y = 3i + 2j 2k respectively. Find xy; 
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