KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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SURFACE AREA OF SOLIDS  KCSE 1997  PAPER 1  FORM 2 LEVEL  SECTION BThe figure below shows a portable kennel.
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MATRICES  FORM 3 LEVEL  KCSE 1997  SECTION B  PAPER 1The figure on the grid shows a triangular shaped object ABC and its image A'B'C'. (a)
(d) Hence find the area of the image A” B” C 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
SCALE DRAWING  BEARING  FORM 1 LEVEL  KCSE 1996  PAPER 2  QUESTION 20  SECTION BFour towns, R, T, K, and G, are arranged in the following manner: T is located 84 km directly north of R, K is positioned 60 km away from R on a bearing of 295°, and G is located 30 km away from K on a bearing of 340°. To create a scale drawing that accurately represents the relative positions of these towns, a scale of 1 cm representing 10 km will be used. Find (a) The distance and the bearing of T from K (b) The distance and the bearing G from T (c) The bearing of R from G COMMERCIAL ARITHMETIC I  PAPER 2  SECTION B  KCSE 1996 FORM 1 LEVELTwo businessmen jointly purchased a minibus capable of accommodating 25 paying passengers at full capacity. The fare for a oneway trip between towns A and B was set at Kshs 80 per passenger. The minibus operated three round trips between the two towns on a daily basis. The daily cost of fuel amounted to Kshs 1500. Additionally, the driver and conductor received daily allowances of Kshs 200 and Kshs 150 respectively. An additional Kshs 4,000 per day was allocated for maintenance, insurance, and loan payments.
COMMERCIAL ARITHMETIC II  QUESTION 21  KCSE 1996  FORM 3 LEVEL  SECTION BKubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.
statistics ii  kcse 1996  question 19  paper 2  section bIn an agricultural research centre, the length of a sample of 50 maize cobs was measured and recorded. The recorded measurements are presented in the frequency distribution table below. Calculate
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 23  KCSE 2023  INTEGRATION  PAPER 2  FORM 4 LEVELThe following figure is a sketch of a curve whose equation is y = 3x²  9x. The curve cuts the xaxis at O(0, 0) and at R(3, 0). The curve cuts the line y and Q. The coordinates of Q is (4, 12). Line RN is perpendicular to PQ at N.
QUESTION 22  KCSE 2023  LOCI  PAPER 2  FORM 4 LEVELIn this question, use a ruler and a pair of compasses only. The following figure is drawn to scale. It shows sides AB and AD of a trapezium ABCD in which AB and DC are parallel. Angle DAB = 40° and vertex C is not shown.
QUESTION 21  KCSE 2023  LINEAR PROGRAMMING  PAPER 2  FORM 4 LEVELAn express train operates between two towns. The train pulls x coaches on first class and y coaches on economy class. Each first class coach can hold 72 passengers while each economy class coach can hold 120 passengers.
The table below shows values of x and some values of y for the curve y = 14+ 10x 8xÂ² Â 4xÂ³.1/1/2024 QUESTION 20  KCSE 2023  TRIGONOMETRY III  PAPER 2  FORM 3 LEVEL
QUESTION 19  KCSE 2023  pROBABILITY  PAPER 2  FORM 3 LEVEL
QUESTION 18  KCSE 2023  COMMERCIAL ARITHMETIC II  PAPER 2  FORM 3 LEVELA welfare group invested Ksh 75 000 in shares and another Ksh 75 000 in a piece of land for a period of 5 years. The shares appreciated in value at a rate of 6% per annum (p.a) for a period of 3 years. In the remaining period of 2 years, the shares appreciated in value at a rate of 4.5% every 6 months. During the 5 years, the piece of land appreciated in value at a constant annual rate. At the end of the 5th year, the values of the two investments were equal.
QUESTION 17  KCSE 2023  SEQUENCES & SERIES  PAPER 2  FORM 3 LEVELThe first term of an arithmetic progression (A.P.) is a and the common difference d. The 7th term of the A.P. is 11. The sum of the first 12 consecutive terms of the A.P. is 123.
QUESTION 24  KCSE 2023  Geometrical constructions  PAPER 1  FORM 1 LEVELIn this question, use a ruler and a pair of compasses only. Line PR is a diagonal of a quadrilateral PQRS, PR = 6 cm
QUESTION 23  KCSE 2023  differentiation  PAPER 1  FORM 4 LEVELThe displacement, x metres, of a particle moving a long straight line after t seconds is given by x = t³/3  3t² + 9.
The following figure shows a quadrilateral PQRS and a circle passing through the vertices R and S29/12/2023 QUESTION 22  KCSE 2023  TRIGONOMETRY II  PAPER 1  FORM 3 LEVELThe following figure shows a quadrilateral PQRS and a circle passing through the vertices R and S. Lines PQ = PR = 2.7 cm, PS = 6 cm, SR = 7 cm and ∠PQR = 65°.
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 20  KCSE 2023  Commercial arithmetic II  PAPER 1  FORM 3 LEVELNeema went to the market to buy bananas worth Ksh 2 100 for a school. The seller offered a discount of Ksh 3 per banana which enabled Neema to buy 35 more bananas.
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 18  KCSE 2023  MATRICES & TRANSFORMATIONS  PAPER 1  FORM 4 LEVELOn the following grid, triangle PQR is drawn.
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.

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