KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 Mathematics
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Form 1 Mathematics
A wholesaler sold a radio to a retailer making a profit of 20%. The retailer later sold the radio for Ksh 1,560 making a profit of 30%. Calculate the amount of money the
wholesaler had paid for the radio. 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. a) The mode; b) The median. Form 1 Mathematics
(a) on the same diagram construct:
(i) triangle ABC such that AB = 9 cm, AC= 7 cm and angle CAB = 60°; (ii) the locus of a point P such that P is equidistant from A and B; (iii) the locus of a point Q such that CQ ≤ 3.5cm. (b) On the diagram in part (a): (i) shade the region R, containing all the points enclosed by the locus of P and the locus of Q, such that AP ≥ BP; (ii) find the area of the region shaded in part (b)(i) above. Form 2 Mathematics
Two straight paths are perpendicular to each other at point p.One path meets a straight road at point A while the other meets the same road at B. Given that PA is 50 metres while PB is 60 metres. Calculate the obtuse angle made by path PB and the road.
Form 1 MathematicsForm 2 Mathematics
The length of a solid prism is 10cm. Its cross section is an equilateral triangle of side 6cm.
Find the total surface area of the prism. Form 3 Mathematics
There are three cars A,B and C in a race. A is twice as likely to win as B while B is twice as likely to win as c. Find the probability that.
Form 1 Mathematics
Using a ruler and a pair of compasses only.
a) Construct triangle ABC in which BC = 8cm, angle ABC = 1050 and BAC =450
b) Drop a perpendicular from A to meet CB produced at p. Hence find the area of triangle ABC. Form 3 Mathematics
Solve the equation 3tan 2x – 4tan x - 4 = 0 for 00 ≤ x ≥ 1800 (4mks)
Form 4 MathematicsForm 3 MathematicsForm 4 MathematicsForm 3 Mathematics
(a) Expand (1 + x)7 up to the 4th term.
(b) Use the expansion in part (a) above to find the approximate value of (0.94)7 Form 3 Mathematics
The base and height of a right angled triangle were measured as 6.4cm and 3.5 cm respectively. Calculate the maximum absolute error in the area of the triangle.
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 96kg, calculate the mean mass, per bag, of the maize. Form 1 Mathematics
Kago deposited Ksh 30 000 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 per annum, to 1 decimal place, for Nekesa's deposit. Form 1 Mathematics
Construct a circle centre x and radius 2.5 cm. Construct a tangent from a point P, 6 cm from x to touch the circle at R. Measure the length PR.
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