KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 Mathematics
The vertices of quadrilateral OPQR are O (0,0), P(2,0), Q(4,2) and R(0,3).
The vertices of its image under a rotation are O'(l, 1), P'(l, 3), Q'(3, 5) and R'(4, 1). (a) (i) On the grid provided, draw OPQR and its image O'P'Q'R'. (ii) By construction, determine the centre and angle of rotation. (b) On the same grid as (a) (i) above, draw O"P"Q"R", the image of O'P'Q'R' under a reflection in the line y = x. (i) directly congruent; (ii) oppositely congruent.
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Form 3 MathematicsForm 1 Mathematics
Two alloys, A and B, are each made up of copper, zinc and tin. In alloy A, the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.
(a) Determine the ratio, copper: zinc: tin, in alloy A. (b) The mass of alloy A is 250 kg. Alloy B has the same mass as alloy A but the amount of copper is 30% less than that of alloy A. Calculate: (i) the mass of tin in alloy A; (ii) the total mass of zinc and tin in alloy B. (c) Given that the ratio of zinc to tin in alloy B is 3:8, determine the amount of tin in alloy B than in alloy A. Form 2 MathematicsForm 1 Mathematics
Bukra had two bags A and B, containing sugar. If he removed 2 kg of sugar from bag A and added it to bag B, the mass of sugar in bag B would be four times the
mass of the sugar in bag A. If he added 10 kg of sugar to the original amount of sugar in each bag, the mass of sugar in bag B would be twice the mass of the sugar in bag A. Calculate the original mass of sugar in each bag. Form 2 MathematicsForm 1 Mathematics
A Forex Bureau in Kenya buys and sells foreign currencies as shown below:
Buying Selling Currency (Ksh) (Ksh) Chinese Yuan 12.34 12.38 South African Rand 11.28 11.37 A businesswoman from China converted 195 250 Chinese Yuan into Kenya shillings. (a) Calculate the amount of money, in Kenya shillings, that she received. (b) While in Kenya, the businesswoman spent Ksh 1 258 000 and then converted the balance into South African Rand. Calculate the amount of money, to the nearest Rand, that she received. Form 2 Mathematics
A line L passes through point (3,1) and is perpendicular to the line 2y = 4x + 5.
Determine the equation of line L. Form 3 Mathematics
Without using mathematical tables or a calculator, solve the equation,
2log_{10}x – 3log_{10}2 + log_{10}32 = 2 Form 3 Mathematics
Given that tan x° = 3/7 find cos (90  x)° giving the answer to 4 significant figures.
Form 2 Mathematics
Given that OA = 2i + 3j and OB = 3i  2j
Find the magnitude of AB to one decimal place. Form 1 Mathematics
Using a pair of compasses and ruler only, construct a quadrilateral ABCD in which AB = 4cm, BC = 6 cm, AD = 3 cm, angle ABC = 135° and angle
DAB = 60°. Measure the size of angle BCD. Form 1 Mathematics
Koech left home to a shopping centre 12 km away, running at 8 km/h. Fifteen minutes later, Mutua left the same home and cycled to the shopping centre at 20 km/h. Calculate the distance to the shopping centre at which Mutua caught
up with Koech. Form 1 Mathematics
Three bells ring at intervals of 9 minutes, 15 minutes and 21 minutes. The bells will next ring together at 11.00 pm. Find the time the bells had last rang together.
Form 1 MathematicsForm 3 Mathematics
Expand and simplify the expression (2x^{2} — 3y^{3})^{2} + 12x^{2}y^{3}
Form 2 Mathematics 
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