KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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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.
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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^[3x-1] = 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<1-x2-x. 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)
QUESTION 20 | KCSE 2022 | VECTORS I | PAPER 2 | FORM 2 LEVELIn the diagram below, the vertices of triangle ABC are A(0, 3), B(4.5, 6) and C(10.5, 0).
Points P(3, 5) and Q(9, 1.5) lie on lines AB and BC respectively.
QUESTION 16 | KCSE 2022 | LINEAR MOTION | PAPER 2 | FORM 2 LEVELThe velocity v m/s of a particle moving in a straight line is (-2t+4) m/s. Determine the distance moved by the particle during the first second of its motion. (3 marks)
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN05The figure below represents a circle a diameter 28 cm with a sector subtending an angle of 75^0 at the center. Find the area of the shaded segment to 4 significant figures
QUESTION 19 | KCSE 2022 | EQUATIONS OF A STRAIGHT LINE | PAPER 1 | FORM 2 LEVELA triangle ABC is right angled at point A. The vertices of the triangle are A(1, -2), B(5, 4) and C(m, n).
The equation of line BC is 5y - x = 15.
QUESTION 15 | KCSE 2022 | STATISTICS I | PAPER 1 | FORM 2 LEVELThe table below shows the mean marks in a mathematics test of two classes. Calculate, correct to 2 decimal places, the mean mark of the classes.
QUESTION 14 | KCSE 2022 | Volume & Capacity of Solids | PAPER 1 | FORM 2 LEVELThe capacities of two similar containers are 54ml and 250 ml respectively. The difference in the heights of the two containers is 4cm.
Calculate the height of the larger container. (3 marks) QUESTION 12 | KCSE 2022 | TRIGONOMETRY | PAPER 1 | FORM 2 LEVELAn electric post erected vertically is 20m from point P on the same level ground. The angle of elevation of the top, T, of the post from P is 30°. Given that S is the mid point of the post, calculate, correct to 1 decimal place, the angle of elevation of S from P. (3 marks)
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