Mathematics

{"examination": "CSEC Mathematics", "syllabus_topics": {"Section 4: Sets": ["Set concepts, language, and symbols [7]", "Types of sets (universal, empty, finite, infinite) [7]", "Relationships (subsets, equal/equivalent sets, intersection, union, disjoint) [8]", "Venn diagrams (construction and problem solving) [8]"], "Section 7: Algebra": ["Symbolic representation [14]", "Basic operations with algebraic expressions [14]", "Substitution and Binary operations [14]", "Expansion and Factorization (distributive law, quadratics, difference of two squares) [15]", "Algebraic fractions and integral indices [15]", "Linear equations and inequalities in one unknown [15]", "Simultaneous linear equations (two unknowns) [15]", "Quadratic equations [15]", "Direct and Inverse variation [16]"], "Section 6: Statistics": ["Data types (discrete/continuous and ungrouped/grouped) [12]", "Frequency tables and class features [12]", "Statistical diagrams (pie charts, bar charts, histograms, line graphs) [13]", "Measures of Central Tendency (Mean, Mode, Median) [13]", "Measures of Dispersion (Range, Quartiles, Interquartile Range) [13]", "Cumulative frequency tables and Ogives [13]", "Theoretical and Experimental Probability [13]"], "Section 1: Computation": ["Basic operations with real numbers (addition, multiplication, subtraction, division) [1]", "Conversion among fractions, percentages and decimals [1]", "Unit conversions (metric scales, 12/24-hour clock, currency) [1]", "Rounding and estimation [1]", "Ratio and Proportion [2]", "Arithmetic mean [2]"], "Section 5: Measurement": ["Perimeter of polygons and circles [9]", "Arc length of a circle [9]", "Area of polygons, circles, sectors, segments, and triangles [9, 10]", "Surface area and Volume of solids (prisms, cylinders, cones, spheres, pyramids, etc.) [10]", "Unit conversions for length, area, capacity, time, and speed [10, 11]", "Appropriate SI units of measure [11]", "Estimation and margin of error [11]"], "Section 2: Number Theory": ["Number Sets (natural, whole, integers, rational, irrational, real) [3]", "Sequences and recognizable patterns [3, 4]", "Factors and Multiples (including H.C.F and L.C.M) [3-5]", "Number base systems (base n where n ≤ 10) [5]", "Properties of numbers (identities, inverses, commutativity, distributivity, associativity) [5]"], "Section 3: Consumer Arithmetic": ["Discount, sales tax, profit and loss [6]", "Simple and Compound interest [6]", "Appreciation and Depreciation [6, 7]", "Installment payments (Hire Purchase and Mortgages) [6]", "Currency exchange rates [6]", "Utilities, rates, taxes, invoices, and shopping bills [6]", "Salaries, wages, insurance, and investments [6, 7]"], "Section 10: Vectors and Matrices": ["Vector notation, magnitude, and direction [26, 27]", "Vector arithmetic and Position vectors [27]", "Matrix concepts (order, types) [27]", "Matrix arithmetic (addition, subtraction, multiplication) [27, 28]", "Determinant and Inverse of a 2x2 matrix [27, 28]", "Solving simultaneous equations using matrices [28]"], "Section 9: Geometry and Trigonometry": ["Geometric terms and concepts [22]", "Properties of triangles, quadrilaterals, and polygons [23]", "Congruence and Similarity [23]", "Geometric transformations (Translation, Reflection, Rotation, Enlargement) [23]", "Pythagoras’ theorem [23]", "Trigonometric ratios (Sin, Cos, Tan) [23]", "Angles of elevation and depression [24]", "Sine and Cosine rules [24]", "Bearings [24]", "Circle theorems and properties [25, 26]"], "Section 8: Relations, Functions and Graphs": ["Relation concepts (domain, range, image, co-domain) [17]", "Defining and evaluating functions (including composite and inverse functions) [17, 18]", "Linear graphs, gradients, and straight line equations [19]", "Midpoint and length of a line segment [19]", "Graphical solutions for linear equations and inequalities [19]", "Linear programming [18, 19]", "Graphs of quadratic functions (turning points, symmetry, roots) [20]", "Distance-time and Speed-time graphs [21]"]}}