KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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
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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 Form 1 MathematicsForm 2 Mathematics
The mass of solid cone of radius 14cm and height 18cm is 4.62kg. find its density in g/cm3
Form 2 Mathematics
Given the simultaneous equations
5x + y = 19 -x + 3y = 9
Form 1 Mathematics
A dealer has three grades of coffee X,Y and Z. Grade X costs sh 140 per kg, grade y costs sh 160 per kg grade Z costs sh.256 per kg.
Form 3 Mathematics
A distance s metres of an object varies with time t seconds and partly with the square root of the time.
Given that s = 14 when t = 9, write an equation connecting s and t. Form 3 Mathematics
A colony of insects was found to have 250 insects at the beginning. Thereafter the number of insects doubled every 2 days. Find how many insects there were after 16 days. (3 mks)
Form 2 Mathematics
Three business partners Atieno, wambui and Mueni contributed sh 50,000, Sh.40,000 as sh 25,000 respectively to start a business. After some time, they realized a profit, which they decided to share in the ration of their contributions. If Mueni’s share was sh 10.000, by how much was Atieno’s share more than wambui’s? (3mks)
Form 1 Mathematics
Machine A can do a piece of work in 6 hours while machine B can do the same work in 9 hours. Machine A was set to do the piece of work but after 31 ⁄ 2 hours, it broke down and machine B did the rest of the work. Find how long machine B took to do the rest of the work (3mks)
Form 4 Mathematics
A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must exceed 150. Taking x to represent the number of boys and y the number of girls, write down all he inequalities representing the information above.
Form 3 Mathematics
a) Expand and simplify the binomial expression (2 – x)6 (2mks)
b) Use the expansion up to the term in x2 to estimate 1.996 (2mks) Form 3 Mathematics
Find the coordinates of the turning point of the curve whose equation is y =6 +2x – 4x2
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