KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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ALT B | RATES, RATIO & PERCENTAGE | SECTION 1 | QUESTION 12 | KCSE 2010 | FORM 1 LEVELThe price of a shirt and that of a pair of trousers are increased in the same ratio. The price of the shirt is increased from Ksh 800 to Ksh1 200. If the new price of the pair of trousers is Ksh 2 700, calculate its original price.
(3 marks)
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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 | GEOMETRICAL CONSTRUCTIONS | SECTION 1 | QUESTION 9 | KCSE 2010 | FORM 1 LEVELUsing a pair of compasses and a ruler only, construct:
(a) a triangle ABC such that AB = 6 cm, BC = 3.5cm and CA = 4 cm; (1 mark) (b) a circle to pass through the vertices of the triangle ABC. (2 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 | FRACTIONS | SECTION 1 | QUESTION 7 | KCSE 2010 | FORM 1 LEVELWithout using a calculator, evaluate: (3 marks)
In the figure below, ABCDEF is a regular polygon. Line AB and EC are each extended to meet at G11/2/2024 ALT B | ANGLES AND PLANE FIGURES | SECTION 1 | QUESTION 6 | KCSE 2010 | FORM 1 LEVELIn the figure below, ABCDEF is a regular polygon. Line AB and EC are each extended to meet at G. Calculate the size of angle BGC. (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)
ALT B | ALGEBRA & INTEGERS | SECTION 1 | QUESTION 3 | KCSE 2010 | FORM 1 LEVELGiven that x = -2, y = 3 and z = 5, evaluate [2x + 3 (y + z)] / 4yz. (2 marks)
ALT B | SQUARES & SQUARE ROOTS | SECTION 1 | QUESTION 2 | KCSE 2010 | FORM 1 LEVELUse the prime factors of 7056 to find √7056 (2 marks)
ALT B | BODMAS | SECTION 1 | QUESTION 1 | KCSE 2010 | FORM 1 LEVELWithout using a calculator, evaluate: 270 ÷ (90 x 2) + 7 x 4-40 ÷ 5. (2 marks)
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