KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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In the figure below AB and AC are tangents to the circle center O at B and C respectively, the angle AOC = 600Calculate;a) The length of AC (2mks)b) The area of triangle OAC (2mks)c) The area of minor sector COD (2mks)d) The area of the shaded region (4mks)
Worked Solution:a) Construct triangle ABC such that AB = 8cm, BC = 6cm and angle ABC = 300 (3mks)b) Measure the length of AC (1mk)c) Draw a circle that touches the vertices A, B and C (2mks)d) Measure the radius of the circle (1mk)c) Hence or otherwise, calculate the area of the circle outside triangle (3mks)
Worked Solution:A bucket is in the shape of a frustrum with base radius 12cm and top radius 16cm. the slant height of the bucket is 30cm as shown below. The bucket is full of water.a) Calculate the volume of the water. (Take = 3.142) (6mks)b) All the water is poured into a cylindrical container of circular radius 12cm. If the cylinder has height 45cm, calculate the surface area of the cylinder which is not in contact with water (4mks)
Worked Solution:From a point 20m away on a level ground the angle of elevation to the lower window line is 270 and the angle of elevation to the top of the window is 320. calculate the height of the window (3mks)Worked Answer:The sides of a parallelogram are 4cm by 5cm and its area is 12cm square. calculate its angles.24/10/2021 The sides of a parallelogram are 4cm by 5cm and its area is 12cm2. calculate its angles (3mks)Worked Answer:The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.a) If a triangle BAF = 300, calculate the surface area of the prism (3mks)b) Draw a clearly labelled net of the prisms (1mk)Worked Answer:a) Find the total distance traveled by the car (2mks)b) Calculate the deceleration of the car (2mks)Worked Answers:
Two similar cans have different heights 8cm and other one 10cm. If the surface area of the larger can is 480cm3, find the surface area of the smaller can (3mks)Worked Answer:
The position vectors of A and B arerespectively. Find the coordinates of M which divides AB in the ration 1: 2 (3mks)Worked Answer:The gradient of a line L through points A(2x, 4) and B(-1, x) is 1/7. find the equation of a line perpendicular to L through B (3mks)
Worked Answer:
Form 4 Mathematics
A workshop makes cupboards and tables using two artisans A and B every cupboard made requires 3 days of work by artisan A and 2 days of work by artisan B. Every table made requires 2 days of work by artisan A and 2 days of work by artisan B.
In one month artisan A worked in less than 24 while artisan B Worked for Not More Than 18 Days. The workshop made x cupboards and y tables in that month. (a) Write all the inequalities which must be satisfied by x and y. (b) Represent the inequalities in (a) on the grid provided. (c) The workshop makes a profit of Ksh 6 000 on each cupboard and Ksh4 000 on each table. Find the number of cupboards and the number of tables that must be made for maximum profit and hence determine the maximum profit. KCSE Mathematics Topical Questions and Answers in PDFForm 1 Topical Questions and Answers for KCSE![]()
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Form 2 MathematicsForm 4 MathematicsForm 2 Mathematics
A triangle ABC with Vertices A (-2,2),B (1,4)and C (-1,4) is mapped on to triangle A'B'C' by a reflection in the line y=x+1.
(a) On the grid provided draw (i) triangle ABC (ii) the line y = x + 1; (iii) triangle A'B'C'. (b) Triangle A"B"C" is the image of triangle A'B'C' under a negative quarter turn (0,0). On the same grid, draw triangle A"B"C". (c) State the type of congruence between triangles: (i) ABC and A’B’C’; (ii) A’B’C’ and A”B”C” Form 2 Mathematics
(a) A line, L1, posies through tho points (3,3) and (5,7). Find the equation of L1, in the form y = mx+c where m and c arc constonti.
(b) Another line L2 is perpendicular to L1, and passes through (-2, 3). Find: (i) the equation of L2; (ii) the x-intercept of L2. (c) Determine the point of intersection of L1, and L2. Form 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 Inequalities |
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