KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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ALT B | VOLUME AND CAPACITY | SECTION 2 | QUESTION 22 | KCSE 2010 | FORM 2 LEVELThe volume of a cuboid is 64m³. The volume of a smaller similar cuboid is 512 cm³.
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ALT B | LINEAR MOTION | SECTION 2 | QUESTION 23 | KCSE 2010 | FORM 3 LEVELThe figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds. Use the graph to calculate:
ALT B | SCALE DRAWING | SECTION 2 | QUESTION 24 | KCSE 2010 | FORM 1 LEVELThe angle of elevation of the top of a vertical mast, viewed by an observer 50m away, was found to be 16.7°.
Three alarms are programmed to sound at intervals of 25 minutes, 30 minutes and 35 minutes.2/3/2024 ALT B | LCM | SECTION 1 | QUESTION 14 | KCSE 2010 | FORM 1 LEVELThree alarms are programmed to sound at intervals of 25 minutes, 30 minutes and 35 minutes. Given that the three alarms sound together at a particular time, determine the time, in hours, it will take for them to sound together again. (4 marks)
ALT B | FRACTIONS | SECTION 1 | QUESTION 7 | KCSE 2010 | FORM 1 LEVELWithout using a calculator, evaluate: (3 marks)
PROBABILITY | PAPER 1 | SECTION B | KCSE 1997 | FORM 3 LEVELThe water supply in a town depends entirely on two water pumps, A and B. The probability of pump A filling is 0.1, and the probability of pump B failing is 0.2. Calculate the probability that:
LONGITUDES & LATITUDES | KCSE 1997 | PAPER 1 | SECTION B | FORM 4 LEVELA ship leaves an island (5°N, 45°E) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots.
(take 1 nautical mile to be 1.853 Km and the radius of the earth to be 6370 Km) GEOMETRIC CONSTRUCTION | KCSE 1997 | PAPER 1 | SECTION B | FORM 1 LEVELUsing ruler and compasses only, construct triangle ABC such that AB = 4 cm, BC = 5 cm, and ∠ABC = 120°. Measure AC.
On the diagram, construct a circle which passes through the vertex of the triangle ABC. Measure the radius of the circle. Measure the shortest distance from the centre of the circle to line BC. SURFACE AREA OF SOLIDS | KCSE 1997 | PAPER 1 | FORM 2 LEVEL | SECTION BThe figure below shows a portable kennel.
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
kcse 1996 | paper 1 | section a | question 3 | commercial arithmetic | form 1 levelThe cost of 5 skirts and 3 blouses is Kshs 1750. Mueni bought three of the skirts and one of the blouses for Kshs 850. Find the cost of each item (3 marks).
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.
QUESTION 16 | KCSE 2023 | GRAPHICAL METHODS | PAPER 1 | FORM 3 LEVELOn the following cartesian plane provided, solve the simultaneous equations.
y = 4/3 x + 2; 3y = x - 3 QUESTION 15 | KCSE 2023 | DIFFERENTIATION | PAPER 1 | FORM 4 LEVELThe equation of a curve curve is given by y = 3x² - 2x. Determine the equation of a normal to the at x = 2. (4 marks)
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 13 | KCSE 2023 | MATRICES | PAPER 1 | FORM 3 LEVELGiven Matrix P = [4 2]upper-row[-7 -1]lower-row, Q = [-1 5]upper-row[6 -3]lower-row and R = 20P^-1 + Q, Determine matrix R. (3 Marks)
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