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.
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KCSE Mathematics Topical Questions and Answers in PDFForm 1 Topical Questions and Answers for KCSE
Marking Schemes
Form 2 Mathematics
The figure below represents a triangular tower garden ABC in which AB = 4 in, BC = 5m and ∠BCA = 30°. Point D lies on AC such that BD = 4 m and ∠BDC is obtuse.
Find, correct to 2 decimal places:
(a) ∠BDC; (b) the length of AD; (c) the length of DC; (d) the area of the flower garden ABC.
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Form 4 Mathematics
The heights of 40 athletes in a county athletics competition were as shown in the table below
(a) Find the value of X.
(b) State the modal class. (c) Calculate: (i) The mean height of the athletes; (ii) The median height, correct to 1 decimal place,of the athletes
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Form 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”
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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.
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Form 2 Mathematics
A rectangular water tank measures 2.4 m long, 2 m wide and 1.5 m high. The tank contains some water up to a height of 0.45 m.
(a) Calculate the amount of water, in litres, needed to fill up the tank (b) An inlet pipe was opened and water let to flow into the tank at a rate of 10 litres per minute.After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 4 litres per minute. Calculate: (i) the height of water in the tank after 3 hours; (ii) the total time taken to fill up the tank.
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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.
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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.
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Form 2 Mathematics
Solve the inequality 2x - 1 ≤ 3x + 4 < 7 - x.
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​Related Questions and Answers on Linear InequalitiesForm 1 Mathematics
In the trapezium PQRS shown below, PQ = 8 cm and SR = 6 cm.
If the area of the trapezium is 28 cm², find the perpendicular distance between PQ and SR.
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Form 2 Mathematics
Juma left his home at 8.30a.m. He drove a distance of l40km and arrived at his aunt’s home at 10.15 a.m.
Determine the average speed, in km/h, for Juma’s journey.
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Form 2 Mathematics
The figure below shows two triangles, ABC and BCD with a common base BC = 3.4 cm. AC = 7.2 cm, CD = 7.5 cm and ABC = 90°.
The area of triangle ABC = Area of triangle ∠BCD. 
Calculate, correct to one decimal place:
(a) the area of triangle ABC; (b) the size of ∠BCD; (c) the length of BD; (d) the size of ∠BDC.
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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