KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
A bus travels from Nairobi to Kakamega and back. The average speed from Nairobi to Kakamega is 80km/hr while that from Kakamega to Nairobi is 50km/hr, the fuel consumption is 0.35 litres per kilometer and at 80km/h, the consumption is 0.3 litres per kilometer .Find
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Form 1 MathematicsForm 3 Mathematics
Each month, for 40 months, Amina deposited some money in a saving scheme. In the first month she deposited sh 500. Thereafter she increased her deposits by sh.50 every month.
Calculate the:
Form 3 Mathematics
A parent has two children whose age difference is 5 years. Twice the sum of the ages of the two children is equal to the age of the parent.
(a) Taking x to be the age of the elder child, write an expression for: (i) the age of the younger child; (ii) the age of the parent. (b) In twenty years time, the product of the children's ages will be 15 times the age of their parent. (i) Form an equation in x and hence determine the present possible ages of the elder child. (ii) Find the present possible ages of the parent. (iii) Determine the possible ages of the younger child in 20 years time. Form 4 MathematicsForm 3 Mathematics
The first, fifth and seventh terms of an Arithmetic Progression (AP) correspond to the first three consecutive terms of a decreasing Geometric Progression (G.P).
The first term of each progression is 64, the common difference of the AP is d and the common ratio of the G.P is r. (a) (i) Write two equations involving d and r. (ii) Find the values of d and r. (b) Find the sum of the first 10 terms of: (i) The Arithmetic Progression (A.P); (ii) The Geometric Progression (G.P). Form 1 Mathematics
The cash price of a laptop was Ksh 60 000. On hire purchase terms, a deposit of Ksh 7 500 was paid followed by 11 monthly installments of Ksh 6 000 each.
(a) Calculate: (i) the cost of a laptop on hire purchase terms; (ii) the percentage increase of hire purchase price compared to the cash price. (b) An institution was offered a 5% discount when purchasing 25 such laptops on cash terms. Calculate the amount of money paid by the institution. (c) Two other institutions, X and Y, bought 25 such laptops each. Institutions X bought the laptops on hire purchase terms. Institution Y bought the laptops on cash terms with no discount by securing a loan from a bank. The bank charged 12% p.a. compound interest for two years. Calculate how much more money institution Y paid than institution X. Form 4 MathematicsForm 3 Mathematics
The equation of a circle centre (a, b) is x2 – y2 – 6x - 10y + 30 = 0. Find the values of a and b.
Form 4 Mathematics
A point M (60°N, 18°E) is on the surface of the earth. Another point N is situated at a distance of 630 nautical miles east of M.
Find: (a) the longitude difference between M and N; (b) The position of N. Form 2 Mathematics
Vector OP= 6i - j and OQ = -2i - 5j. A point N divides PQ internally in the ratio 3:1.
Find PN in terms of i and j. Form 4 MathematicsForm 1 MathematicsForm 3 Mathematics
The radius of a spherical ball is measured as 7 cm, correct to the nearest centimeter. Determine, to 2 decimal places, the percentage error in calculating
the surface area of the ball. Form 3 Mathematics
The sides of a triangle were measured and recorded as 8 cm, 10 cm and 15 cm. Calculate the percentage error in perimeter, correct to 2 decimal places.
Form 3 Mathematics
a) Expand (a – b)6
b) Use the first three term of the expansion in a (a) to find the approximate value of (1.98)6 Form 1 MathematicsForm 2 Mathematics
The vertices of a triangle are A(1,2), B(3,5) and C(4,1). The coordinates of C' the image of C under a translation vector T, are (6-2).
(a) Determine the translation vector T. (b) Find the coordinates of A' and B' under translation vector T. Form 3 Mathematics
The ages in years of five boys are 7, 8, 9, 10 and 11 while those of five girls are 4, 5, 6, 7 and 8. A boy and a girl are picked at random and the sum of their ages is recorded.
(a) Draw a probability space to show all the possible outcomes. (b) Find the probability that the sum of their ages is at least 17 years. Form 2 MathematicsForm 2 Mathematics
(a) Solve the inequalities 2x — 5 > - 11 and 3 + 2x ≤ 13, giving the answer as a combined inequality.
(b) List the integral values of x that satisfy the combined inequality in (a) above. |
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