KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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ALT B  LOGARITHMS  SECTION 1  QUESTION 5  KCSE 2010  FORM 2 LEVELUse logarithms to evaluate (43.2 X 0.015) / ∛0.00679 (4 marks)
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ALT B  AREA OF A RECTANGLE  SECTION 1  QUESTION 4  KCSE 2010  FORM 2 LEVELThe length of a rectangular floor of a hall is 35.2m. If the diagonal of the floor is 37.7m, Calculate the area of the floor. (3 marks)
SURFACE AREA OF SOLIDS  KCSE 1997  PAPER 1  FORM 2 LEVEL  SECTION BThe figure below shows a portable kennel.
LINEAR EQUATIONS  FORM 2 LEVEL  KCSE 1997  PAPER 1  SECTION BThe coordinates of the points P and Q are (1, 2) and (4, 10) respectively. A point T divides the line PQ in the ratio 2:1.
VECTORS I  FORM 2 LEVEL  PAPER 1  SECTION B  KCSE 1997In the figure below, OA is equal to A, OB is equal to B, AB is equal to BC, and OB is to BD in a ratio of 3:1. (a) Determine
ANGLE PROPERTIES OF A CIRCLE  FORM 2 LEVEL  KCSE 1996  PAPER 2  SECTION BIn the figure below, AOC represents a diameter of the circle with center O. The length of AB is equal to BC, and the angle ACD measures 25 degrees. The line EBF is a tangent to the circle at point B. Additionally, point G is located on the minor arc CD.
QUESTION 24  KCSE 2023  VECTORS I  PAPER 2  FORM 2 LEVELIn the following figure OABC is a trapezium. OA is parallel to CB and OA = 3 CB. M is the midpoint of AB. (a) Given that OA = 3a and OC = c express in terms of a and c.
QUESTION 1  KCSE 2023  INDICES & LOGARITHMS  PAPER 2  FORM 2 LEVELSolve the equation 1 + log(2x – 9) = log(3x + 5)  log 2. (3 marks)
The end of term test scores of 100 students were recorded as shown in the following table.29/12/2023 QUESTION 21  KCSE 2023  STATISTICS I  PAPER 1  FORM 2 LEVELThe end of term test scores of 100 students were recorded as shown in the following table.
QUESTION 19  KCSE 2023  Surface Area and Volume of Solids  PAPER 1  FORM 2 LEVELThe following figure shows a right pyramid VABCD. The base ABCD of the pyramid is a square of side 8 cm. The length of the slanting edges VA = VB = VC = VD = 10 cm. Calculate:
(a) the vertical height of the pyramid correct to 2 decimal places. (4 marks) (b) surface area of the pyramid. (4 marks) (c) the volume of the pyramid. (2 marks) QUESTION 17  KCSE 2023  LINEAR MOTION  PAPER 1  FORM 2 LEVELTwo towns, A and B are 400 km apart. A motor cyclist travelling at an average speed of 60 km/h left town A for town B at 1.20 p.m. A matatu travelling at an average speed of 80 km/li also left town A for town B at 2.00 p.m.
QUESTION 14  KCSE 2023  Statistics I  PAPER 1  FORM 2 LEVELIn a sub county the number of children per family was recorded from 30 families. The data recorded is as follows: (a) Represent the data in a frequency distribution table. (1 mark)
(b) Calculate the mean number of children per family. (2 marks) QUESTION 12  KCSE 2023  VECTORS I  PAPER 1  FORM 2 LEVELVectors a, b and e are represented on the following grid. On the following grid, represent:
(a) the resultant vector a + b (2 marks) (b) the resultant vector (a + b) + c (2 marks) QUESTION 8  KCSE 2023  SCALE DRAWING  PAPER 1  FORM 2 LEVELFrom a point on top of a cliff 40 m high, two boats A and B are observed due East. The angle of depression of boat A is 32° and that of boat B is 52°. Determine the distance between the two boats, correct to 2 decimal places. (4 marks)
QUESTION 4  KCSE 2023  VOLUME & CAPACITY  PAPER 1  FORM 2 LEVELA cylindrical solid of radius 7 cm has a conical top of the same radius. The height of the cylindrical part of the solid is 17 cm. The conical top has a vertical height of 9 cm. Calculate the volume of the solid. (Take π = 22/7) (3 marks)
QUESTION 3  KCSE 2023  AREA OF A TRIANGLE  PAPER 1  FORM 2 LEVELA triangle ABC is such that AB = 11 cm, BC = 8 cm and ABC = 53°. Calculate the area of the triangle correct to 2 decimal places. (2 marks)
QUESTION 2  KCSE 2023  INDICES  PAPER 1  FORM 2 LEVELSimplify the expression [3a²b^3] / [2^1 a^2 b²] (2 marks)
QUESTION 23  KCSE 2021  STATISTICS I  PAPER 1  FORM 2 LEVELThe masses of 40 adults who attended a health clinic were recorded as follows. (a) Complete the frequency distribution table below for the above information. Use classes of size 5 starting with the class 40  44. (4 marks) (b) State the modal class. (1 mark)
(c) Estimate: (i) the mean mass. (2 marks) (ii) the median mass. (3 marks) QUESTION 22  KCSE 2021  VECTORS I  PAPER 1  FORM 2 LEVELThe position vectors of A and B are (4, 6) and (8, 2) respectively.
Point M is the midpoint of AB and point N is the midpoint of OA.
QUESTION 20  KCSE 2021  Trigonometry i  PAPER 1  FORM 2 LEVELThe figure below is a quadrilateral ABCD in which AB = 8 cm, BC = 6 cm, CD = AD, Angle ABC = 70° and Angle ADC = 50°.
QUESTION 18  KCSE 2021  AREA & VOLUME OF A QUADRILATERAL  PAPER 1  FORM 2 LEVEL
QUESTION 15  KCSE 2021  Indices and Logarithms  PAPER 1  FORM 2 LEVELSolve the equation 8^[x+1]  2^[3x1] = 120. (4 marks)
QUESTION 14  KCSE 2021  Similarity and Enlargement  PAPER 1  FORM 2 LEVELThe height of a cone is 12 cm. A frustrum whose volume is one eighth the volume of the cone is cut off. Determine the height of the frustrum. (3 marks)
QUESTION 4  KCSE 2021  LINEAR Inequalities  PAPER 1  FORM 2 LEVELSolve [5/3]  2x < 1 [2/3]x <= 2  x. Hence list the integral values that satisfy the 3 2x<1x2x. 3 inequalities. (3 marks)
QUESTION 3  KCSE 2021  Rotation  PAPER 1  FORM 2 LEVELComplete the figure below to show a rotational symmetry of order 3 about O. (3 marks)

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