KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
| surface area of solids | FORM 2 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 24 |The figure below represents a frustum of a cone with dimensions as shown.
Taking π = 3.142, calculate:
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| SCALE DRAWING | FORM 2 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 22 |In the figure below, BC = 12 cm, ∠ACB = 40°, ∠ BAD = 60°, BCD is a straight line and CE is parallel to BA.
Calculate:
| LINEAR EQUATIONS | FORM 2 LEVEL | SECTION II | PAPER 1 | ALT B | KCSE 2011 | QUESTION 18 |Three straight lines L₁, L₂, and L3, are such that:
L1, cuts the y-axis at y = 5 and has a gradient of 2; L₂ is perpendicular to L1, at the point where L1, cuts the x-axis; L3, is parallel to L2, and passes throught point (1, 2).
| SIMILARITY and Enlargement | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 12 |The areas of the lids of two similar cylinders are 16 cm² and 25 cm². If the volume of the bigger cylinder is 800 cm³, find the volume of the smaller cylinder. (4 marks)
| LINEAR INEQUALITIES | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 6 |Find the integral values of x which satisfy the inequality 3x ≤ 2x + 3 < 4x + 5. (3 marks)
| VOLUME AND CAPACITY | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 5 |A cylindrical container of height 45 cm has a capacity of 25 litres. Find the radius of the container to the nearest millimetre. (3 marks)
Use cube tables to calculate, to 4 significant figures, the volume of a cube whose side is 0.4321 m22/3/2024 | VOLUME AND CAPACITY | FORM 2 LEVEL | SECTION I | PAPER 1 | ALT B | KCSE 2011 | QUESTION 4 |Use cube tables to calculate, to 4 significant figures, the volume of a cube whose side is 0.4321 m. (3 marks)
ALT B | TRIGONOMETRY I | | FORM 2 LEVEL | SECTION II | PAPER 2 | KCSE 2010 | QUESTION 21Triangle ABC is such that AB = 4 cm, BC = 7 cm and angle ABC = 100°. Calculate to 2 decimal places:
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.
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)
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