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This document is specifically for mathematics revision booklet released on april 2025. The author is mr. Omiti Jakwano
Typology: Exams
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Mathematics paper one consist of 9 {nine} cluster topics. From which all KCSE questions are examined. The understanding of the concepts is very vital. The questions under each of the cluster will help student understand the concepts examined in paper 1. Any student who repeatedly goes through these questions and understand
the questions thoroughly, a student can try KCSE papers for the last 5 years to test the understanding of the understanding of the concepts. Such a student will find it easy to answer the questions in KCSE. It is my sincere belief that any student who goes through this work very well will succeed in getting an โAโ grade in Mathematics. OMITI.C. ONYANGO (OMITIMATH) RUKENYA HIGHSCHOOL
๏ Area of part of a circle. ๏ Form 1 angles n in section I or section II.
median ๏ Histogram and frequency polygon. ๏ Expect a questio n in section I or II.
๏ Area of triangles, quadrilaterals and regular polygon. ๏ Surface areas and volumes of cone, cylinder, hemisphere, sphere, cuboid, frustrum, pyramid and prism. ๏ Mass, density and volume. ๏ Trigonometry: ๏ท Complime ntary angles. ๏ท Trigonom etric ratios. ๏ท Special angles. ๏ท Applicatio ns. {including tag ratios, sine & cosine rule}. ๏ 1- questio ns in section II. ๏ Section I Questio ns at least 2
Vectors ๏ Position ๏ Displacement ๏ Magnitude ๏ Operation ๏ Collinear / parallel ๏ Ratio theorem ๏ 1 โ 2 questio ns in section II. ๏ At least a questio
๏ Scalers Transformatio ns ๏ Rotations ๏ Reflection ๏ Translation ๏ Similarity & Enlargement n in section I.
expansion and equations. ๏ Simultaneous equations. ๏ Equation of a straight line. ๏ Linear inequalities ๏ 1 - 2 questio ns in section II. ๏ At least 2 questio ns in section I.
๏ Commercial arithmetic. ๏ Ratios / percentages. ๏ Simple rate of work. ๏ Fractions and decimals ๏ 1 to 2 questio ns in section II. ๏ At least 2 questio ns in section I.
logarithms. ๏ Common solids. ๏ Numbers e.g. integers, tests, square roots, cube/ cube roots, reciprocals, operation on integers, factors etc. ๏ At least 2 questio ns in section I. MATHEMATICS PAPER 1 SUMMARY CALCULUS AND AREA ESTIMATION
i. Using mid- ordinate rule of 5 strips between x = 1 and x = 6. ii. Using trapezium rule of 5 strips between x = 1 and x = 6. iii. Find exact area by integration. iv. Find the percentage error in getting the area using trapezium rule.
2 4 3 x 2
BEARING/SCALE DRAWING/SURVEY/CONSTRUCTION
