KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 2 Mathematics
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Form 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 MathematicsForm 4 Mathematics
(a) Complete the table below, giving the values correct to 1 decimal place.
b) On the grid provided, using the same scale and axes, draw the graphs of y = 2 sin (χ+20)0 and y = √3 cos χ for 00 ≤ χ ≤ 2400.
c) Use the graphs drawn in (b) above to determine: i) the value of χ for which 2sin (χ + 20) = √3 cos χ; ii)the difference in the amplitudes of y =2sin(χ + 20) and y =√3 cos χ. Form 4 Mathematics
The figure ABCDEF below represents a roof of a house. AB=DC=12 m, BC = AD = 6m, AE = BF = CF= DE = 5m and EF = 8m
(a) Calculate, correct to 2 decimal places, the perpendicular distance of EF from the plane ABCD.
(b) calculate the angle between : (I) the planes ADE and ABCD (II) The line AE and the plane ABCD, correct to 1 decimal place; (III) The planes ABFE and DEFE, correct to 1 decimal place. Form 3 MathematicsForm 3 MathematicsForm 1 Mathematics
The hire purchase (H.P) price of a public address system was Kshs 276000. A deposit of Kshs 60000 was paid followed by 18 equal monthly installments.
The cash price of the public address system was 10% less than the H.P price. (a) Calculate (i) The monthly installments (ii) The cash price (b) A customer decided to buy the system in cash and was allowed a 5% discount on the cash price. He took a bank loan to buy the system in cash. The bank charged compound interest on the loan at the rate of 20% p.a. The loan was repaid in 2 years. Calculate the amount repaid to the bank by the end of the second year (c) Express as a percentage of the Hire Purchase price, the difference between the amount repaid to the bank and the Hire Purchase price Form 4 MathematicsForm 4 Mathematics
The position of two towns are (20 S,300 E) and 20S, 37.4 0E) calculate , to the nearest km, the shortest distance between the two towns.(take the radius ofthe earth to be 6370 km)
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