KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 4

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​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 3

ANSWER

KCSE 2020 MATHEMATICS PAPER 1 QUESTION NUMBER 2 

ANSWER

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 1

ANSWER:

​A particle moves along a straight line such that its displacement S metres from a given point is S = t^3-5t^2 + 3t + 4. where t is time in seconds.

The distance between A and B is 280km. A car and lorry travelled from A to B. The average speed
of the lorry is 20km/h less than that of the car. The lorry takes 1hr 10min more than the car to travel
from A to B. 

a) If the speed of the lorry is xkm/h, find x (6mks) 
​
b) If the lorry left town A at 8.15a.m and the car left town A and later overtook the lorry at 12.15pm. Calculate the time the car left town A. (4mks) 

A group of people planned to contribute equally towards a water project which needed
Ksh. 2, 000,000 to complete. However 40 members of the group withdrew from the project. As a result each of the remaining members were to contribute Ksh. 2,500 more. 

a) Find the original number of members in the group. (5mks) 

b) Forty five percent of the value of the project was funded by constituency development fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members. (3mks) 

​c) Members contribution were in terms of labour provided and money contributed. If the ratio of the value of labour to the money contribution was 6:9. Calculate the total amount of money contributed by the members. (2mks) 

​In the figure below, points L, M,N and P are on the circumference of a circle centre O. LON is a diameter of the circle PL = PN and angle NLM = 20^0

​The height of tree seedlings in a nursery were measured and recorded as in the table below 

​In the diagram below ON = a and OL = b, LX = sLN, OM = 3a and MK = 2b       

​Draw the quadrilateral with vertices at A (-6,-1) B (-6,-4) C (3,-7) and D (3,2). 

​Find the value of y in the equation 

​Using a ruler and a pair of compasses only construct triangle ABC such that AB= 4.5cm, BC = 8.1cm and angle CBA = 60^0. Measure angle CAB.                                                                 (3mks) 

​Five men each working 10hrs a day take two days to cultivate one acre of land. How long will two men each working six hours a day, take to cultivate three acres of land. (3mks)

​Jecinta made a profit of 25% by selling a pair of shoes at Ksh. 1500. What percentage profit would she have made if she sold the same shoes at 1600? (3mks)

​Given that Cos A = 5/13 and angle A is acute, find Tan A without using tables or calculators    (2mks)

​Transfer the measurement of the reap below to a field book (2mks) 

​Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces all of the same length to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the total number of pieces that can be obtained from the rods. (4mks) 

​Three children shared some money. John got 0.7 of the money and Jane 0.4 of the remainder of what John got. Loice received the rest which was sh. 405. How much did Jane get? (4mks)

​The figure below is a cross-section of a model of a swimming pool of length 30cm. 

​Simplify as far as possible. (3mks) 

​The unshaded region in the figure below is reflected in the x-axis. Write down the inequalities which satisfy the new region. (3mks) 

​Use tables of reciprocals and squares roots to evaluate to 4 significant figures. (4mks) 

​Four interior angles of a hexagon are 100, 140, 125 and 105. The fifth interior angle is four times the sixth. Find, in degrees the fifth interior angle. (3mks)