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:-
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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.
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Related Questions and Answers on Commercial Arithmetic IIForm 3 Mathematics
where a is an acute angle find, without using mathematical tables: cos a in the form of a√b, where a and b are rational numbers and tan (900 – a).
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Form 4 MathematicsGiven the curve y = 2x3 + ½x2 – 4x + 1. Find the:
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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.
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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)
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Form 2 MathematicsThe figure below is a polygon in which AB = CD = FA = 12cm BC = EF = 4cm and BAF = CDE = 1200. AD is a line of symmetry. 
Find the area of the polygon
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Form 3 MathematicsA minor sector of a circle of radius 28cm includes an angle of 1350 at the center. a) (i) convert 1350 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 П to be 22/7) (8mks)
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Form 4 MathematicsA triangle T whose vertices are A (2,3) B(5,3) and C (4,1) is mapped onto triangle T1 whose vertices are A1 (-4,3) B1 (-1,3) and C1 (x,y) by a transformation 
Find the: (i) Matrix M of the transformation (ii) Coordinates of C1 b) Triangle T2 is the image of triangle T1 under a reflection in the line y = x. Find a single matrix that maps T and T2 (8mks)
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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 =900, locate possible positions of T and label them T1 and T2, Measure the length of T1T2.
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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:
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Form 1 Mathematics
The table below shows the weight and price relatives of four items in a given period.
Compute the cost of living index for the given items.
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Form 1 Mathematics
The figure below shows a triangle ABC.
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Form 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.
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Form 2 Mathematics
Solve the following inequalities and represent the solutions on a single number line:
3 – 2x < 5 4 – 3x ≥ -8
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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
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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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