KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 2 MathematicsForm 2 MathematicsForm 2 Mathematics
A line L passes through point (3,1) and is perpendicular to the line 2y = 4x + 5.
Determine the equation of line L. Form 2 Mathematics
Given that OA = 2i + 3j and OB = 3i - 2j
Find the magnitude of AB to one decimal place. Form 1 MathematicsForm 2 MathematicsForm 1 MathematicsForm 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 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 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. Form 2 Mathematics
The frequency table below shows the daily wages paid to casual workers by a certain company.
(a) Draw a histogram to represent the above information.
(b) (i) State the class in which the median wage lies. (ii) Draw a vertical line, in the histogram, showing where the median wage lies. (c) Using the histogram, determine the number of workers who earn sh 450 or less per day. Form 2 Mathematics
In a triangle ABC, BC =8 cm, AC= 12 cm and angle ABC = 120°.
(a) Calculate the length of AB, correct to one decimal place. (b) If BC is the base of the triangle, calculate, correct to one decimal place: (i) the perpendicular height of the triangle; (ii) the area of the triangle; (iii) the size of angle ACB. Form 2 Mathematics
Makau made a journey of 700 km partly by train and partly by bus. He started his journey at 8.00 a.m. by train which travelled at 50 km/h. After alighting from the
train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75 km/h. The whole journey took 11 1/2 hours. (a) Determine: (i) the distance travelled by bus; (ii) the time Makau started travelling by bus. (b) The bus developed a puncture after travelling 187 1/2 km. It took 15 minutes to replace the wheel. Find the time taken to complete the remaining part of the journey Form 2 Mathematics
A solid consists of a cone and a hemisphere. The common diameter of the cone and the hemisphere is 12 cm and the slanting height of the cone is 10 cm.
(a) Calculate correct to two decimal places: (i) the surface area of the solid; (ii) the volume of the solid (b) If the density of the material used to make the solid is 1.3 g/cm3, calculate its mass in kilograms. Form 2 Mathematics
A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm, if the volume of the smaller cone is 160 cm3, find the
volume of the frustum Form 2 Mathematics
Three vertices of a parallelogram PQRS are P(-l, 2), Q(8, -5) and R (5,0).
(a) On the grid provided below draw the parallegram PQRS. (b) Determine the length of the diagonal QS. Form 2 MathematicsForm 2 Mathematics
The external length, width and height of an open rectangular container are 41 cm, 21 cm and 15.5 cm respectively. The thickness of the material making the container is 5 mm. If the container has 8 litres of water, calculate the
internal height above the water level. Form 2 Mathematics
A motorist took 2 hours to travel from one town to another town and 1 hour 40 minutes to travel back. Calculate the percentage change in the speed of the motorist.
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