Category: Form 4 Level

The systolic blood pressure of 60 patients attending a clinic was recorded as follows:

5/6/2023

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The systolic blood pressure of 60 patients attending a clinic was recorded as follows:

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 22

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A road contractor has to transport 240 tonnes of hardcore. He will use two types of lorries, type A and type B. He has 3 type A lorries and 2 type B lorries

5/6/2023

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A road contractor has to transport 240 tonnes of hardcore. He will use two types of lorries, type A and type B. He has 3 type A lorries and 2 type B lorries. The capacity of each type A lorry is 8 tonnes while that of type B is 15 tonnes. All type A lorries must each make the same number of trips. Similarly all type B lorries must each make the same number of trips. The number of trips made by each type B lorry should be less than twice those made by each type A lorry. Each type A lorry must not make more than 6 trips.

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 21

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An aircraft took off from point A (x degrees North, 15 degrees east) at 0720h, local time. It flew due west to another point B (x degrees North, 75 degrees West) a distance of 5005 km from A.

5/6/2023

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An aircraft took off from point A (x degrees North, 15 degrees east) at 0720h, local time. It flew due west to another point B (x degrees North, 75 degrees West) a distance of 5005 km from A.

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 20

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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.

5/6/2023

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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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SOLVE THE EQUATION

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 14

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The mean of six numbers is calculated. The deviations of the numbers from the mean are: -4, 5, -3, -2, d, 1. Determine the value of d and hence find the exact variance of the numbers. (3 marks)

5/6/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 12

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A point P(x, y) is mapped onto P'(x, y) by successive transformations M = by N = 1 -1 2 -(2-3) 1 followed Determine the single transformation matrix that would map P'(x₁, y₁) onto P(x, y). (3 marks)

5/6/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 10

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The figure ABCD below is a scale drawing representing a rectangular garden of length 60 m and width 30m.

5/6/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 9

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the displacement, s metres of a moving particle after t seconds in given by

22/5/2023

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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

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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 gar

13/5/2023

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A tailor makes two types of garments A and B. Garment A requires 3 metres of material while garment B requires 2 Â½ 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)

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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.

13/5/2023

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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.

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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

13/5/2023

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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)
b) On same side of AB as C (3mks)
i) Determine the locus of a point P such that angle APB = 600 (3mks)
ii) Construct the locus of R such that AR = 3cm. (1mk)
iii) Identify the region T such that AR  3 and APB  600 by shading the unwanted part. (3mks)

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The following are marks scored by form four student in Mathematics test.

13/5/2023

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The following are marks scored by form four student in Mathematics test.

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)

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A and B are two points on earth’s 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)

13/5/2023

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(a) A and B are two points on earthâ€™s 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)

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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.

13/5/2023

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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)

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Without using a calculator or mathematical tables

13/5/2023

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Without using a calculator or mathematical tables

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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.

11/5/2023

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â€‹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.

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.

           Find
            a)         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)