KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 4 Mathematics
The vertices of a triangle PQR are P(-3, 2), Q(0,-1) and R(2, -1). A transformation matrix maps triangle PQR onto triangle P’Q' R' whose vertices are P'(-7, 2), Q'(2, -1) and R’(4, -1).
Find M-1, the transformation that maps P'Q'R' onto PQR. Form 3 MathematicsForm 4 MathematicsForm 4 Mathematics
Determine the amplitude and the period of the function y = 3 sin(2x + 40°).
Form 4 MathematicsForm 3 MathematicsForm 4 Mathematics
Find the coordinates of the turning point of the curve y= x²-14x +10
Form 3 Mathematics
A bag contains 6 red counters and 4 blue counters. Two counters are picked from the bag at random, without replacement.
(a) Represent the events using a tree diagram. (b) Find the probability that the two counters picked are of the same colour. Form 2 Mathematics
An arc of a circle subtends an angle of 150° at the circumference of the circle. Calculate the angle subtended by the same arc at the centre of the circle.
Form 3 Mathematics
A quantity P varies inversely as the square of another quantity L.When P = 0.625, L = 4. Determine P when L= 0.2.
Form 1 Mathematics
Two types of flour, X and Y, cost Ksh60 and Ksh 72 per kilogram respectively.
The two types are mixed such that the cost of a kilogram of the mixture is Ksh 70. Calculate the ratio X:Y of the mixture. Form 3 MathematicsForm 2 Mathematics
A bus plies between two towns P and R via town Q daily. On each day it departs from P at 8.15 a.m. and stops for 40 minutes at Q before proceeding to R.
On a certain day, the bus took 5 hours 40 minutes to travel from P to Q and 3 hours 15 minutes to travel from Q to R. Find, in 24 hour clock system, the time the bus arrived at R. Form 2 Mathematics
A trader bought two types of bulbs A and B at Ksh 60 and Ksh 56 respectively. She bought a total of 50 bulbs of both types ct a total of Ksh 2872.
Determine the number of type A bulbs that she bought. Form 2 Mathematics
Solve the inequality 2x - 1 ≤ 3x + 4 < 7 - x.
​Related Questions and Answers on Linear InequalitiesForm 1 Mathematics
Using a ruler and a pair of compass only, construct a rhombus PQRS such that PQ = 6cm and SPQ = 75°.
Measure the length of PR. Form 1 Mathematics
A tourist converted 5820 US dollars into Kenya Shillings at the rate of Ksh 102.10 per dollar. While in Kenya, he spent Ksh450 000 and converted the balance into dollars at the rate of Ksh 103.00 per dollar.
Calculate the amount of money, to the nearest dollar, that remained. Form 3 Mathematics
Given that sin 2x = cos (3x — 10°), find tan x, correct to 4 significant figures.
Form 1 Mathematics
A retailer bought a bag of tea leaves. If the retailer were to repack the tea leaves into smaller
packets of either 40 g, 250g or 350 g, determine the least mass, in grams, of the tea leaves in the bag. Form 1 Mathematics
Three villages A, B and C rife Such that B is 53 km on a bearing of 295° from A and C is 75 km east of B.
(a) Using a scale of 1 cm to represent 10 km, draw a diagram to show the relative positions of villages A, B and C. (b) Determine the distance, in km, of C from A. |
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