KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 4 Mathematics
The shortest distance between two points A (40°N, 20°W) and B (0°S, 20°W) on the surface of y the earth is 8008km. Given that the radius of the earth is 6370km,
determine the position of B. (Take n = 22/7 ).
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Form 3 Mathematics
Muga bought a plot of land for Ksh 280,000. After 4 years, the value of the plot-was Ksh 495 000. Determine the rate of appreciation, per annum, correct
to one decimal place. Form 4 MathematicsForm 3 Mathematics
Expand (3 - x)1 up to the term containing x4. Hence find the approximate value of (2.8)7.
Form 4 MathematicsForm 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
Form 3 MathematicsForm 3 Mathematics
Three quantities L, M and N are such that L varies directly as M and inversely as the square of N. Given that L = 2 when M = 12 and N = 6, determine the
equation connecting the three quantities. Form 3 MathematicsForm 3 Mathematics
The first term of an arithmetic sequence is — 7 and the common difference is 3.
(a) List the first six terms of the sequence; (b) Determine the sum of the first 50 terms of the sequence. Form 3 Mathematics
The lengths of two similar iron bars were given as 12.5m and 9.23m. Calculate the maximum possible difference in length between the two bars.
Form 2 Mathematics
Points A(-2, 2) and B(-3, 7) are mapped onto Aʹ(4, -10) and Bʹ(0, 10) by an enlargement. Find the scale factor of the enlargement
Form 1 Mathematics
Twenty five machines working at a rate of 9 hours per day can complete job in 16 days. A contractor intends to finish the job in 10days using similar machines
working at a rate of 12 hours per day. Find the number of machines the contractor requires to complete the job. Form 3 Mathematics
A minor arc of a circle subtends an angle of 105 at the centre of the circle. If the radius of the circle is 8.4cm, find the length of the major arc ( take ? = 22/7)
Form 2 Mathematics
The figure below shows a rectangular container of dimensions 40cm by 25cm by 90cm. a cylindrical pipe of radius 7.5cm is fitted in the container as shown.
Water is poured into the container in the space outside the pipe such that the water level is 80% the height of the container. Calculate the amount of the
water, in litres, in the container in 3 significant figures. Form 2 Mathematics
Solve 4 ≤ 3x – 2 ˂ 9 + x hence list the integral value that satisfies the inequality.
Form 1 Mathematics
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age of the cow and that of the heifer.
Form 1 Mathematics
The sum of interior angles of a regular polygon is 18000. Find the size of each exterior angle
Form 1 Mathematics
A plane leaves an airstrip L and flies on a bearing of 0400 to airstrip M, 500km away. The plane then leaves on a bearing of 3160 to airstrip N. The bearing ofN from L is 3500. By scale drawing, determine the distance between airstrips M and N.
Form 2 Mathematics
The area of a sector of a circle, radius 2.1cm, is 2.31cm^2. The arc of the sector subtends an angle θ, at the centre of the circle. Find the value of θ in radians to
2 correct decimal places |
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