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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

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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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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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN09

1/6/2023

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Form 2 Mathematics | Topical Questions and Answers


ANSWER
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THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUB-COUNTY WERE RECORDED AS FOLLOWS:

22/5/2023

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​THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUB-COUNTY WERE RECORDED AS FOLLOWS:

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 22
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​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21 ON VECTORS

22/5/2023

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​​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21 ON VECTORS

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21
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The average speed of a pick-up was 20 km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km.

22/5/2023

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The average speed of a pick-up was 20 km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km.
(a) If the speed of the lorry was x was x km/h:
(i) write expressions in terms of x for the time taken by the lorry and the pick-up respectively to cover the distance of 180 km;
(2 marks)
(ii) determine the speed of the lorry and that of the pick-up.
(5 marks)
(b) The distance between towns A and B is 240 km. On a certain day the pick-up started from town A at 8.30 a.m. and the lorry started from town B at the same time. Determine the time that the lorry and the pick-up met.
(3 marks)

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 19
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A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142)

22/5/2023

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A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142).
Calculate the:
(a) height of the solid; (2 marks)
(b) surface area of the solid, correct to 1 decimal place; (4 marks)
(c) volume of the solid, correct to 1 decimal place. (4 marks)

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 18
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The figure below shows a quadrilateral ABCD and a mirror line M1M2

22/5/2023

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The figure below shows a quadrilateral ABCD and a mirror line M1M2

​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 16
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A chord of a circle, 7cm long, subtends an angle of 60 degrees at the centre of the circle. Determine the area, correct to 2 decimal places, of the major segment of the circle.

22/5/2023

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A chord of a circle, 7cm long, subtends an angle of 60 degrees at the centre of the circle. Determine the area, correct to 2 decimal places, of the major segment of the circle.

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 13
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The line 2y+x=1 is perpendicular to a line L. Line L passes through point (2,-1). Determine the equation of L in the form Y = mx + c, where m and c are constants.

22/5/2023

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The line 2y+x=1 is perpendicular to a line L. Line L passes through point (2,-1). Determine the equation of L in the form Y = mx + c, where m and c are constants.

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 6
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Answer

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WITHOUT USING A CALCULATOR AR MATHEMATICAL TABLES, EVALUATE:

21/5/2023

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​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 3

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

11/5/2023

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

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

11/5/2023

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

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

11/5/2023

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

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Find the value of y in the equation

11/5/2023

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​Find the value of y in the equation 

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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)

11/5/2023

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​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)

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

11/5/2023

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

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

11/5/2023

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

Picture
​Find the capacity of the actual pool in liters given that its length is 27m. (4mks) 
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The unshaded region in the figure below is reflected in the x-axis. Write down the inequalities which satisfy the new region. (3mks)

11/5/2023

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

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A line L1 passes through points A (3,3), B(5-1) and it is bisected by L2. Determine the equation of L2 in the form y = mx + c (3mks)

11/5/2023

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​A line L1 passes through points A (3,3), B(5-1) and it is bisected by L2. Determine the equation of L2 in the form y = mx + c    (3mks) 

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A car starts from rest and builds up a speed of 40m/s in 1 min 40 seconds.  It then travels at this speed for 5 minutes.  Brakes are then applied and the car is brought to a halt in 2 minutes.

29/4/2023

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​A car starts from rest and builds up a speed of 40m/s in 1 min 40 seconds.  It then travels at this 
speed for 5 minutes.  Brakes are then applied and the car is brought to a halt in 2 minutes.
(a) Draw a velocity-time graph to represent the information above. (3mks)
(b) Use your graph to find
(i) the initial acceleration. (2mks)
(ii) the deceleration when the car is brought to a halt. (2mks)
(iii) the distance traveled in km. (3mks)

ANSWER

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A quadrilateral ABCD has vertices A(-3, 4), B(-2, 7), C(1, 5) and D(0, 2).  The quadrilateral is rotated through -90° about the origin to A¹B¹C¹D¹.  A¹B¹C¹D¹ is then reflected on the line y + c = 0 to get A¹¹B¹¹C¹¹D¹¹.

29/4/2023

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Picture

​ANSWER

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The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.  The slanting edge has a length of 19.5cm.

29/4/2023

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​The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.  
The slanting edge has a length of 19.5cm.

Picture

​ANSWER

Picture

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The volume of two similar cans is 96cm³ and 1.5 litres.  If the total surface area of the smaller canis 144cm², determine the surface area of the larger can

29/4/2023

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​The volume of two similar cans is 96cm³ and 1.5 litres.  If the total surface area of the smaller can
is 144cm², determine the surface area of the larger can.                                                       (3mks)

ANSWER

Picture

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Calculate the surface area of the solid regular hexagonal prism shown below, giving your answer to 3sf.        (4mks)

29/4/2023

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Calculate the surface area of the solid regular hexagonal prism shown below, giving your
answer to 3sf.     (4mks)

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​ANSWER

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