Exam year: Exam year 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023
Question type: Question type Objective Theory
Topics: Topics [1] NUMBER AND NUMERATION [1].1 Number bases [1].1.1 operations in different number bases from 2 to 10 [1].1.2 conversion from one base to another including fractional parts [1].2 Fractions, Decimals, Approximations and Percentages [1].2.1 Fractions [1].2.2 Decimals [1].2.3 Significant figures [1].2.4 decimal places [1].2.5 Percentages errors [1].2.6 Simple interest [1].2.7 Profit and loss percent [1].2.8 Ratio, proportion and rate [1].2.9 Shares and valued added tax [1].2.10 Approximations [1].3 Indices, Logarithms and Surds [1].3.1 Laws of Indices [1].3.2 equations involving indices [1].3.3 Standard form [1].3.4 Laws of Logarithms [1].3.5 Logarithm of any positive number to a given base [1].3.6 change of bases in logarithm and application [1].3.7 relationship between indices and logarithm [1].3.8 Surds [1].4 Sets [1].4.1 Types of sets [1].4.2 algebra of sets [1].4.3 Venn diagrams and their applications [2] ALGEBRA [2].1 Polynomials [2].1.1 Change of subject of formula [2].1.2 Multiplication and division of polynomials [2].1.3 Factorization of polynomials of degree not exceeding 3 [2].1.4 Roots of a polynomials not exceeding degree 3 [2].1.5 Factor and remainder theorems [2].1.6 Simultaneous equations including one linear one quadratic [2].1.7 Graphs of polynomials of degree not greater than 3 [2].2 Variation [2].2.1 Direct [2].2.2 Inverse [2].2.3 Joint [2].2.4 Partial [2].2.5 Percentage increase and decrease [2].3 Inequalities [2].3.1 analytical and graphical solutions of linear inequalities [2].3.2 quadratic inequalities with integral roots only [2].4 Progression [2].4.1 Nth term of a progression [2].4.2 Sum of Arithmetic progression [2].4.3 Sum of Geometric progression [2].5 Binary Operations [2].5.1 properties of closure, commutativity, associativity and distributivity [2].5.2 Identity element (simple cases only) [2].5.3 Inverse element (simple cases only) [2].6 Matrices and Determinants [2].6.1 algebra of matrices not exceeding 3 x 3 [2].6.2 Determinants of a matrix not exceeding 3 x 3 [2].6.3 Inverse of 2 x 2 matrices; [excluding quadratic and higher degree equations]. [2].6.4 Addition and Subtraction of matrices [2].6.5 Multiplication of matrices [2].6.6 Transpose of matrices [3] GEOMETRY AND TRIGONOMETRY [3].1 Euclidean Geometry [3].1.1 Properties of angles and lines [3].1.2 Polygons: triangles, quadrilaterals and general polygons [3].1.3 Circle: angle properties, cyclic quadrilaterals and intersecting chords [3].1.4 Construction [3].2 Mensuration [3].2.1 lengths and areas of plane geometrical figures [3].2.2 Lengths of arcs [3].2.3 Chords of a circle [3].2.4 Perimeters and areas of sectors [3].2.5 Segments of circles [3].2.6 Surface areas and Volumes of simple solids [3].2.7 Surface areas and Volumes of composite figures [3].2.8 The earth as a sphere [3].2.9 Longitudes and Latitudes [3].2.10 Plane geometric shapes [3].3 Loci [3].3.1 locus in 2 dimensions based on geometric principles relating to lines and curves. [3].4 Coordinate Geometry [3].4.1 midpoint of a line segment [3].4.2 Gradient of a line segment [3].4.3 Distance between two points [3].4.4 Parallel and perpendicular lines [3].4.5 Equations of straight lines [3].5 Trigonometry [3].5.1 trigonometrical ratios of angles [3].5.2 Angles of elevation [3].5.3 Angles of depression [3].5.4 Bearings [3].5.5 areas and solutions of triangle [3].5.6 graphs of sine and cosine [3].5.7 sine and cosine formulae [4] CALCULUS [4].1 Differentiation [4].1.1 Limit of a function [4].1.2 differentiation of explicit algebraic and simple trigonometrical functions – sine, cosine and tangent. [4].2 Application of differentiation [4].2.1 Rate of change [4].2.2 Maxima [4].2.3 Minima [4].3 Integration [4].3.1 integration of explicit algebraic [4].3.2 integration of simple trigonometrical functions [4].3.3 area under the curve. [4].3.4 Definite integral [4].3.5 Indefinite integral [5] STATISTICS [5].1 Representation of data [5].1.1 frequency distribution [5].1.2 Histogram [5].1.3 Bar chart [5].1.4 Pie chart [5].2 Measures of Location [5].2.1 Mean of ungrouped and grouped data [5].2.2 Mode of ungrouped and grouped data [5].2.3 Median of ungrouped and grouped data [5].2.4 cumulative frequency [5].3 Measures of Dispersion [5].3.1 Range [5].3.2 Mean deviation [5].3.3 Variance [5].3.4 Standard deviation [5].4 Permutation and Combination [5].4.1 Linear and circular arrangements [5].4.2 Arrangements involving repeated objects [5].5 Probability [5].5.1 experimental probability (tossing of coin, throwing of a dice etc) [5].5.2 Addition and multiplication of probabilities (mutual and independent cases).