KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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In a transformation an object of area x cm² is mapped on to an image whose area is 13x cm².28/12/2023 QUESTION 15  KCSE 2021  Matrices & Transformations  PAPER 2  FORM 4 LEVELIn a transformation an object of area x cm² is mapped on to an image whose area is 13x cm². Given that the matrix of the transformation is [(x 7)upper row and (x1 3x)lower row] find the possible values of x. (3 marks)
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QUESTION 11  KCSE 2021  LONGITUDES  PAPER 2  FORM 4 LEVELA point Q is 2000 nm to the West of a point P(40°N, 155°W). Find the longitude of Q to the nearest degree. (3 marks)
QUESTION 10  KCSE 2021  TRIGONOMETRY III  PAPER 2  FORM 4 LEVELThe equation of a trigonometric wave is y = 4 sin (ax70)°. The wave has a period of 180°.
(a) Determine the value of a. (1 mark) (b) Deduce the phase angle of the wave. (1 mark) QUESTION 7  KCSE 2021  Three Dimensional Geometry  PAPER 2  FORM 4 LEVELThe figure below represents a prism ABCDEFGH of length 6 cm. The cross section BCFG of the prism is a trapezium in which GF = 11 cm, BC = 8 cm, BG = 5 cm and GFC = BCF = 90°. Calculate correct to 1 decimal place the angle between the line FA and the plane GFEH. (3 marks)
QUESTION 1  KCSE 2021  Compound proportions and rates of work  PAPER 2  FORM 4 LEVELAn empty tank of capacity 18480 litres is to be filled with water using a cylindrical pipe of diameter 0.028 m. The rate of flow of water from the pipe is 2 m/s. Find the time in hours it would take to fill up the tank. (Take π = 22/7). (3 marks)
QUESTION 24  KCSE 2021  DIFFERENTIATION  PAPER 1  FORM 4 LEVELThe equation of a curve is given as y = 1/3 X^3  1/2X^2  2X  1/3.
QUESTION 17  KCSE 2021  MASS  PAPER 1  FORM 1 LEVELA factory packs fruit jam in cylindrical tins of radius 5 cm and height 15 cm. The tins are then packed into rectangular cartons each measuring 60 cm long, 30 cm wide and 30 cm high.
QUESTION 16  KCSE 2021  Differentiation  PAPER 1  FORM 4 LEVELA curve is given by y = 2x³  3x²  12x + 12. (1 mark)
(a) Find the gradient function of the curve. (b) Determine the equation of the normal to the curve at the point (1, 1), in the form y=mx+c, where m and c are constants. (3 marks) QUESTION 9  KCSE 2021  Matrices & Transformations  PAPER 1  FORM 4 LEVELA translation T maps A(6, 2) onto A'(3, 5).
(a) Determine the translation vector T. (1 mark) (b) A point P'(4, 2) is the image of P under T. Determine the coordinates of P. (2 marks) QUESTION 24  KCSE 2022  LOCI  PAPER 2  FORM 4 LEVEL In this question use a ruler and a pair of compasses. The line AB drawn below is a side of triangle ABC in LABC which = 90° and BAC = 60°.
In an inter school mathematics contest, schools can register teams in junior and senior categories.23/12/2023 QUESTION 23  KCSE 2022  LINEAR PROGRAMMING  PAPER 2  FORM 4 LEVELIn an inter school mathematics contest, schools can register teams in junior and senior categories. Information on number of students and the participation fee per team in each category is given in the table below. The organising committee projected to register x junior teams and y senior teams.
QUESTION 22  KCSE 2022  STATISTICS II  PAPER 2  FORM 4 LEVELFifty teachers in a sub county attended a workshop. The table below shows the distribution of the distances (d) in kilometres travelled by the teachers from their respective school to the training venue.
QUESTION 19  KCSE 2022  MATRICES AND TRANSFORMATION  PAPER 2  FORM 4 LEVELmaps triangle A'B'C' into triangle A"B"C". The coordinates of point C" is (10, 8) and the area of triangle A"B"C" is 15 square units.
QUESTION 15  KCSE 2022  LONGITUDES  PAPER 2  FORM 4 LEVELAn aircraft took off from an airport A(0°, 40°W) at 1100 h local time. The aircraft landed at airport B(0°, 65°W) at 1200 h local time.
Determine the speed of the aircraft in knots. (4 marks) K.C.S.E MATHEMATICS Q & A  MODEL 1997PP2QN04On the figure below construct (i) The perpendicular bisector of BC (ii) The locus of a point P which moves such a way that ∠APB = ∠AVB and P is on the same side of AB on the same side of AB as C QUESTION 12  KCSE 2022  STATISTICS II  PAPER 2  FORM 4 LEVELThe data below represents the number of animals owned by 7 neighbours:
9, 5, 14, 6, 8, 13 and 15. Calculate, correct to the nearest whole number, the standard deviation of the number of animals. (3 marks) QUESTION 11  KCSE 2022  TRIGONOMETRY III  PAPER 2  FORM 4 LEVEL The figure below represents the curve of the function y = 1 − A sin wx for the range −35◦ ≤ x ≤ 50◦. Determine the values of A and R.
Use The Trapezoidal Rule With Intervals Of 1 Cm To Estimate The Area Of The Shaded Region Below.21/12/2023 K.C.S.E MATHEMATICS Q & A  MODEL 1997PP2QN08Use The Trapezoidal Rule With Intervals Of 1 Cm To Estimate The Area Of The Shaded Region Below.
QUESTION 24  KCSE 2022  MATRICES AND TRANSFORMATIONS  PAPER 1  FORM 4 LEVELTriangle ABC and A'B'C' are drawn on the grid provided.
(a) Describe fully a single transformation that mapped triangle ABC onto triangle A'B'C'. (2 marks) (b) On the same grid, draw: (i) triangle A"B"C" the image of triangle A'B'C' under a rotation of +90° about Ο (0, 0). (2 marks) (ii) triangle A"B"C", the image of triangle A"B"C" under a reflection in the line y = x. (2 marks) (c) Draw the line of symmetry of triangle A'B'C' and hence determine its equation in the form y = mx +c, where m and c are constants. (4 marks) QUESTION 23  KCSE 2022  DIFFERENTIATION  PAPER 1  FORM 4 LEVELA supermarket sold 530 packets of milk daily when the price was Ksh 50 per packet.
Whenever the price per packet was increased by Ksh 4, the number of packets sold daily decreased by 20. If n represents the number of times the price was increased: (a) write an expression in terms of n for: (i) the price of a packet of milk after the price was increased. (1 mark) (ii) the number of packets of milk sold after the price was increased. (1 mark) (iii) the total sales, in simplified expanded form, after the price of a packet of milk was increased. (2 marks) (b) Determine: (i) the number of times the price was increased to attain maximum sales. (3 marks) (ii) the price of a packet of milk for maximum sales. (1 mark) (iii) the maximum sales. (2 marks) The diagram below is a sketch of two curves y = 2x² + 1 and y = x² + 1 drawn on the same grid.13/11/2023 QUESTION 22  KCSE 2022  AREA APPROXIMATION  PAPER 1  FORM 4 LEVELThe diagram below is a sketch of two curves y = 2x² + 1 and y = x² + 1 drawn on the same grid.
QUESTION 10  KCSE 2022  Matrices & Transformations  PAPER 1  FORM 4 LEVEL The image of P(2, 5) under a translation T is P'(2, 2). Q'(9,5) is the image of Q under the same translation T. Determine the coordinates of Q. (3 marks)The systolic blood pressure of 60 patients attending a clinic was recorded as follows:KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 22A 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 21An 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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