KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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.
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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
Form 2 MathematicsForm 1 Mathematics
A train moving at an average speed of 72km/h takes 15 seconds to completely cross a bridge that is 80 metres long.
Form 2 Mathematics
A straight line passes through points A(-3,8) and B(3, -4). Find the equation of the straight line through(3,4) and parallel to AB. Give the answer in the form y – mx +c, and c are constants. (3mks)
Form 3 MathematicsForm 1 Mathematics
A shirt whose marked price in shs. 800 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 20%, find how much the trader paid for the shirt.
Form 1 Mathematics
Ntutu had cows, sheep and goats in his farm the number of cows was 32 and number of sheep was twelve times the number of cows. The number of goats was 1344 more
than the number of sheep. If he sold 3/4 of the goats, find the number of goats that remained. Form 4 Mathematics
The table below shows marks scored by 42 students in a test.
a) Starting with the mark of 25 and using equal class intervals of 10, make a frequency distribution table.
b) On the grid provided , draw the ogive for the data c) Using the graph in (b) above , estimate: (i) The median mark (ii) The upper quartile mark Form 4 Mathematics
The equation of a curve is given by y = 5x − 1/2 x2
(a) On the grid provided, draw the curve of y = 5x − 1/2 x2 for 0 ≤ x ≤ 6 (b) By integration, find the area bounded by the curve, the line x =6 and the x-axis. (c) (i) On the same grid as in,(a).draw the line y = 2x. (ii) Determine the area bounded by the curve and the line y = 2 x. Form 4 Mathematics
Two towns A and B lie on the same latitude in the northern hemisphere. When its 8am at A, the time at B is 11.00am.
Form 1 MathematicsA businessman obtained a loan of sh.450,000 from a bank to buy a matatu valued at the same amount. The bank charges interest at 24% per annum compounded equation. 2x2 + x – 5 = 0 to 1 decimal place.
Form 3 MathematicsForm 4 MathematicsThe diagram below is a sketch of the curve y =x2 + 5.
Form 2 Mathematics |
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