KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 2 MathematicsForm 3 Mathematics
Find in radians, the values of x in the interval 0c ≤ x ≤ 2πc for which 2 cos2x - sin x = 1. (Leave the answer in terms of π)
Form 2 Mathematics
A school decided to buy at least 32 bags of maize and beans. The number of bags of beans were Lo be at least 6. A bag of maize costs Ksh 2500 and a bag of beans costs Ksh 3 500, The school had Ksh 100 000 to purchase the maize and beans. Write down all the inequalities that satisfy the above information,
Form 3 Mathematics
A circle whose equation is (x - 1)2 + (y - k)2 = 10 passes through the point (2,5).
Find the value of k. Form 3 Mathematics
(a) Expand the expression (1 + 1/2 x)5 in ascending powers of x, leaving the coefficients as fractions in their simplest form.
(b) Use the first three terms of the expansion in (a) above to estimate the value of (1 1/20)5 Form 3 Mathematics
An arc 11 cm long, subtends an angle of 70° at the centre of a circle. Calculate the length, correct to one decimal place, of a chord that subtends an angle of 90°
at the centre of the same circle. Form 3 Mathematics
A bag contains 2 white balls and 3 black balls. A second bag contains 3 white balls and 2 black balls. The balls are identical except for the colours. Two balls are drawn
at-random, one after the other from the first bag and placed in the second bag. Calculate the probability that the 2 balls are both white. Form 1 Mathematics
In this questions, mathematical tables should not be used
At Kenya bank buys sells foreign currencies as shown below:
A Japanese traveling from France arrives in Kenya with 5000 Euros; he converts all the 5000 Euros to Kenya Shillings at the bank.
Calculate the amount in Japanese yen, than he receives. Form 4 MathematicsForm 3 Mathematics
The first term of an arithmetic sequence is — 7 and the common difference in 3
(a) List the first six terms of the sequence; (b) Determine the sum of the first 50 terms of the sequence. Form 2 Mathematics
The masses in kilograms of 20 bags of maize were:
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105. Using an assumed mean of 96 kg, calculate the mean mass, per bag of the maize. Form 1 Mathematics
Kago deposited kshs 30000 in a financial institution that paid simple interest at the rate of 12% per annum. Nekesa deposited the same amount of money as Kago in
another financial institution that paid compound interest. After 5 years , they had equal amounts of money in the financial institutions. Determine the compound interest rate, to 1 decimal place for Nekesas deposit Form 3 Mathematics
a)Solve the equation
b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2
.i)Calculate the perimeter of the floor ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m2. If the length of a carpet is twice its width, determine the width of the carpet. Form 2 Mathematics
Given that Log 4 = 0.6021 and log 6 = 0.7782, without using mathematical tables on a calculator, evaluate log 0.096.
Form 2 Mathematics
The production of milk, in litres, of 14 cows on a certain day was recorded as follows:
22, 26, 15, 19, 20, 16,27, 15, 19, 22, 21, 20, 22 and 28. Determine: (a) the mode; (b) the median. Form 2 Mathematics
A small cone of height 8cm is cut off from a bigger cone to leave a frustum of height 16cm. If. the volume of the smaller cone is 160cm3, find the volume of the frustum.
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