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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

tHE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. tHE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.

5/6/2023

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THE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. THE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 24

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In the figure below A, B, C and D are points on the circumference of the circle, centre O.

5/6/2023

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In the figure below A, B, C and D are points on the circumference of the circle, centre O. A tangent to the circle at A intersects chord CD produced at E. Line AB is parallel to line EC. Angle AED = 45 degrees and angle ABD = 40 degrees.

​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 23

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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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Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.

5/6/2023

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Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 19

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THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEAR

5/6/2023

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THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEAR

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 18

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A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWO-THIRDS HOURS LESS THAN TRACTOR P.

5/6/2023

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​A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWO-THIRDS HOURS LESS THAN TRACTOR P.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 17

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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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THE POSITION VECTORS OF POINTS P, Q AND R ARE [1 -1 3], [3 3 1] AND [6 9 -2] RESPECTIVELY. SHOW THAT POINTS P, Q AND R ARE COLLINEAR

5/6/2023

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THE POSITION VECTORS OF POINTS P, Q AND R ARE [1 -1 3], [3 3 1] AND [6 9 -2] RESPECTIVELY. SHOW THAT POINTS P, Q AND R ARE COLLINEAR

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 15

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SOLVE THE EQUATION

5/6/2023

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SOLVE THE EQUATION

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 14

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The cash price of a cooker is Ksh 27500. A customer opts to buy the cooker on hire purchase terms by paying a deposit of Ksh 17250.

5/6/2023

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​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 13

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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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In an experiment involving two variables, time (1), hours and height, (h) cm; the following results were obtained.

5/6/2023

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​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 11

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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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Solve for x given that:

5/6/2023

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​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 8

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In the figure below, O is the centre of the circle and N is a point on the circumference

5/6/2023

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​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 7

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Two variables x and y are such that y varies directly as x^n where n is a constant

5/6/2023

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Two variables x and y are such that y varies directly as x^n where n is a constant

​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 6

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN11

5/6/2023

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Form 2 Mathematics


Answer
K.C.S.E Mathematics Q & A - MODEL 1999PP2QN11

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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN14

3/6/2023

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Make V the subject of the formula:


T = ½ m (u2 – v2) (3 marks)


MARKING SCHEME
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THE FIGURE BELOW SHOWS A CUBOID LABELLED abcdefgh. POINT O IS THE MID-POINT OF BD, AB=15CM, BC=8CM AND CF=5CM.

2/6/2023

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​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 5
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eXPAND THE EXPRESSION (1- 3/10X)^5 IN ASCENDING POWERS OF X, LEAVING COEFFICIENT AS FRACTIONS IN THEIR LOWEST FORM.

2/6/2023

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​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 4
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SIMPLIFY THE TRIGONOMETRY MODEL03062023001:

2/6/2023

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​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 3
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The sum of the first two terms of an increasing Geometric Progression (GP) is 20. The sum of the second term and the third term of the same GP is 30.

2/6/2023

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The sum of the first two terms of an increasing Geometric Progression (GP) is 20. The sum of the second term and the third term of the same GP is 30.
Determine the common ratio of the GP. (4 marks)

​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 2
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