KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
A PARTICLE MOVES IN A STRAIGHT LINE FROM A FIXED POINT. THE VELOCITY V MS^-1 OF THE PARTICLE AFTER T SECONDS IS GIVEN BY V=T^2 - 4T + 6.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 16
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the displacement, s metres of a moving particle after t seconds in given by
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 24
A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 ½ metres of material. The tailor uses not more than 600 metres of material daily in making both garments. He must make not more than 100 garments of type A and not less than 80 of type B each day.(a). Write down all the inequalities from this information. (3mks)b) Graph the inequalities in (a) above (3mks)c) If the business makes a profit of shs. 80 on garment A and a profit of shs. 60 on garment B, how many garments of each type must it make in order to maximize the total profit? (4mks)The curve of the equation y = x+ 2x2, has x = ½ and x = 0 as x-intercepts. The area bounded by the x-axis, x = ½ and x = 3 is shown by the sketch below.a) Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC (3mks)
|
Marks |
10-19 |
20-29 |
30-39 |
40-49 |
50-59 |
60-69 |
70-79 |
80-89 |
90-99 |
Frequency |
2 |
6 |
10 |
16 |
24 |
20 |
12 |
8 |
2 |
Using an assumed mean of 54.5, calculate the
a) Mean mark (4mks)
b) Variance (4mks)
c) Standard deviation (2mks)
(a) A and B are two points on earthâs surface and on latitude 400 N. The two points are on the longitude 500W and 1300E respectively. Calculate the distance from A to B along a parallel of latitude in kilometers. (2mks)
(b) The shortest distance from A to B along a great circle in kilometres (Take p = 22/7 and radius of the earth = 6370km) (2mks)
Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)
âA 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.
A particle moves along a straight line such that its displacement S metres from a given point is S = t3-5t2 + 3t + 4. where t is time in seconds.
Finda) The displacement of the particle at t = 5 (2mks)
b) The velocity of the particle when t = 5 (2mks)
c) The value of t when the particle is momentarily at rest. (3mks)
d) The acceleration of the particle when t = 2. (2mks)
KCSE REVISION QUESTION AND ANSWERS ON LINEAR PROGRAMMING MODEL05052023004
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KCSE REVISION QUESTION AND ANSWERS ON MATRICES AND TRANSFORMATION MODEL05052023003
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