KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
Form 2 Mathematics
The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.
Find:
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Form 4 Mathematics
a) Complete the table below, giving your values correct to 2 decimal places.
Form 4 Mathematics
The line PQ below is 8cm long and L is its midpoint
Form 4 Mathematics
Form 4 Mathematics
Omondi makes two types of shoes: A and B. He takes 3 hours to make one pair of type A and 4 hours to make one pair of type B. He works for a maximum of 120 hours to x pairs of type A and Y pairs of type B.It costs him sh 400 to make a pair of type A and sh 150 to make a pair of type B.
His total cost does not exceed sh 9000. He must make 8 pairs of type A and more than 12 pairs of type B. Form 4 Mathematics
A ship leaves port p for port R though port Q.Q is 200 km on a bearing of 220^{0} from P.R is 420 km on the bearing of 140^{0} from from Q.
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 3^{1} ⁄ _{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 x^{2} to estimate 1.99^{6} (2mks) Form 3 Mathematics
Find the coordinates of the turning point of the curve whose equation is y =6 +2x – 4x^{2}
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 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. 2x^{2} + x – 5 = 0 to 1 decimal place.

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