KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
ALT B | STATISTICS I | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 8The pie-chart below represents the expenditure of a family in a certain month on maize, meat, vegetables, fruits and milk.
During that month, the family spent equal amounts of money on milk and fruits.
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ALT B | logarithms i | | FORM 2 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 1and give the answer correct to 5 significant figures. [2 marks]
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.
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°.
ALT B | SURFACE AREA OF SOLIDS | SECTION 2 | QUESTION 20 | KCSE 2010 | FORM 2 LEVELThe diagram below represents a pipe whose cross-section is shaded. The pipe has internal radius of 0.26m and an external radius of 0.3m.
ALT B | AREA PART OF A CIRCLE | SECTION 1 | QUESTION 13 | KCSE 2010 | FORM 2 LEVELThe figure below is a circle centre 0 of radius 10.5 cm. Angle AOB = 150°. Calculate the area of the shaded part of the circle, correct to 4 significant figures. (4 marks)
ALT B | AREA OF QUADRILATERALS | SECTION 1 | QUESTION 11 | KCSE 2010 | FORM 2 LEVELThe figure below shows a trapezium KLMN in which KN is parallel to LM, KN = 20 cm, MN = 12 cm, LM = 8 cm and ∠KNM = 36°. Calculate the length of the perpendicular from M to KN and hence find the area of the trapezium. (4 marks)
ALT B | LINEAR INEQUALITIES | SECTION 1 | QUESTION 10 | KCSE 2010 | FORM 2 LEVELSolve the inequality 3x - 2 < 10 + x ≤ 2 + 5x. (3 marks)
ALT B | VOLUME & CAPACITY | SECTION 1 | QUESTION 8 | KCSE 2010 | FORM 2 LEVELThe base of a rectangular water tank is 4 m long and 3.5m wide. The tank contains 21 000 litres of water. Calculate the height of the water in the tank. (3 marks)
ALT B | LOGARITHMS | SECTION 1 | QUESTION 5 | KCSE 2010 | FORM 2 LEVELUse logarithms to evaluate (43.2 X 0.015) / ∛0.00679 (4 marks)
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)
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