KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 Mathematics
Given that P = 2i- 3j + k, Q = 3i – 4j- 3k and R = 3P + 2 Q, find the magnitude of R to 2 significant figures.
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Form 1 Mathematics
An inlet tap can fill an empty tank in 6 hours. It takes 10 hours to fill the tan kwhen the inlet tap and an outlet tap are both opened at the same time. Calculate
the time the outlet tap takes to empty the full tank when the inlet tap is closed. Form 3 Mathematics
Give that x = 2i +j – 2k,y = - 3i +4j –k and z = - 5i +3j +2k and that p = 3x – y +2z. Find the magnitude of vector p to 3 significant figures.
Form 2 MathematicsForm 3 Mathematics
A water pump costs Kshs. 21600 when new. At the end of first year its value depreciates by 25%. The depreciation by the second year is 20% and thereafter the rate of the depreciation is 15% yearly. Calculate the exact value of the water pump at the end of the fourth year.
Form 1 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,
2log10x – 3log102 + log1032 = 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 2 Mathematics |
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