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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN24 25/6/2020 Comments   Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1 24 The graph below consists of a non- quadratic part ( 0 ≤ x ≤ 2) and a quadrant part ( 2 ≤ x 8) The quadratic part is y = x2 – 3x + 5, 2 ≤ x ≤ 8 (a) Complete the table below   (1 mark) ​(b) Use the trapezoidal rule with six strips to estimate the area enclosed by the  curve, x = axis and the line x = 2 and x = 8 (3 marks) (c) Find the exact area of the region given in (b) (3 marks) (d) If the trapezoidal rule is used to estimate the area under the curve between x = 0 and x = 2, state whether it would give an under- estimate or an over- estimate. Give  a reason for your answer (1 mark) ANSWER Comments K.C.S.E Mathematics Q & A-MODEL 1996PP1QN21 14/5/2020 Comments   The table below shows some values of the function y = x2 + 2x - 3 a) Complete the table b) Using the completed table and the mid- ordinate rule with six ordinates, estimate the area of the region bounded by the y = x2 + 2 x – 3 and the line y = 0, x = -6 and x = -3 ( 3 marks) (i) By integration find the actual area of the region in (b) above (2 marks) (ii) Calculate the percentage error arising from the estimate in (b) (2 marks) MARKING SCHEME Comments

TOPICS Categories All ALGEBRAIC EXPRESSIONS ANGLE PROPERTIES OF A CIRCLE ANGLES AND PLANE FIGURES APPROXIMATION & ERRORS AREA AREA APPROXIMATION AREA OF A QUADRILATERAL Area Of Part Of A Circle AREA OF TRIANGLE BINOMIAL EXPANSION Commercial Arithmetic I COMMERCIAL ARITHMETIC II Common Solids COMPOUND PROPORTIONS DECIMALS DENSITY DIFFERENTIATION DIVISIBILITY TESTS EQUATIONS OF A STRAIGHT LINE FACTORIZATION FACTORS FORM 1 LEVEL FORM 2 LEVEL FORM 3 LEVEL FORM 4 LEVEL FORMULAE & VARIATIONS Fractions FURTHER LOGARITHMS G.C.D (H.C.F) GEOMETRIC CONSTRUCTIONS GRAPHICAL METHODS Hero's Formula INDICES & LOGARITHMS INTEGERS INTEGRATION KCSE 1995 KCSE 1996 KCSE 1997 KCSE 1998 KCSE 1999 KCSE 2000 LINEAR EQUATIONS LINEAR INEQUALITIES LINEAR MOTION LINEAR PROGRAMMING LOCI LONGITUDES AND LATITUDES MASS MATRICES Matrices And Transformations NATURAL NUMBERS Paper 1 Paper 2 PERCENTAGE PROBABILITY PYTHAGORAS THEOREM QUADRATIC EXPRESSIONS RATES RATIO Reflection And Congruence ROTATION SCALE DRAWING SECTION A SECTION B SEQUENCES AND SERIES SIMILARITY & ENLARGEMENT SQUARES AND SQUARE ROOTS STATISTICS 1 STATISTICS II SURDS SURFACE AREA OF SOLIDS THREE DIMENSIONAL GEOMETRY Trapezoidal Rule TRIGONOMETRY I TRIGONOMETRY II TRIGONOMETRY III VECTORS I VECTORS II VOLUME & CAPACITY ARCHIVES Archives July 2020 June 2020 May 2020 January 2016 AUTHOR Author Maurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED RSS Feed HIGH SCHOOL RESOURCES OPEN COLLEGE RESOURCES OPEN FREE NOVELS OPEN PRIMARY SCHOOL RESOURCES 8-4-4 OPEN PRIMARY SCHOOL RESOURCES CBC OPEN

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