O level Math Syllabus 2024
Welcome to the comprehensive guide to the O Level Math Syllabus 2024! Whether you’re a parent seeking insights into your child’s academic journey or a student gearing up for the O Level Math examination, this article serves as your roadmap to understanding the curriculum. Delve into the key topics and concepts outlined in the syllabus, providing clarity and direction for effective learning and preparation. Let’s embark on this educational exploration together, empowering you with the knowledge needed to excel in O Level Math.
Subject Content – Mathematics (4052 MATHEMATICS GCE ORDINARY LEVEL SYLLABUS) 

Number and Algebra 

1. Numbers and their operations  – primes and prime factorisation
– Finding highest common factor (HCF) and lowest common multiple (LCM), squares, cubes, square roots and cube roots by prime factorisation – negative numbers, integers, rational numbers, real numbers, and their four operations – calculations with calculator – representation and ordering of numbers on the number line – use of the symbols <, >, ⩽, ⩾ – approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures and estimating the results of computation) – use of standard form A × 10n, where n is an integer, and 1 ⩽ A < 10 – positive, negative, zero and fractional indices – laws of indices

2. Ratio and proportion  – ratios involving rational numbers
– writing a ratio in its simplest form – map scales (distance and area) – direct and inverse proportion

3. Percentage  – expressing one quantity as a percentage of another
– comparing two quantities by percentage – percentages greater than 100% – increasing/decreasing a quantity by a given percentage – reverse percentages

4. Rate and speed  – average rate and average speed
– conversion of units (e.g. km/h to m/s)

5. Algebraic expressions and formulae  
6. Functions and graphs  
7. Equations and inequalities  
8. Set Language and Notation  
9. Matrices  – Interpreting the data in a given matrix
– product of a scalar quantity and a matrix – problems involving the calculation of the sum and product (where appropriate) of two matrices 
Geometry and Measurement 

10. Angles, triangle and polygons  – right, acute, obtuse and reflex angles
– vertically opposite angles, angles on a straight line and angles at a point – angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles – properties of triangles, special quadrilaterals and regular polygons (pentagon, hexagon, octagon and decagon), including symmetry properties – classifying special quadrilaterals on the basis of their properties – angle sum of interior and exterior angles of any convex polygon – construction of simple geometrical figures from given data using compasses, ruler, set squares and protractors, where appropriate.

11. Congruence and Similarity  – congruent figures and similar figures
– properties of similar triangles and polygons: – corresponding angles are equal – corresponding sides are proportional – enlargement and reduction of a plane figure – scale drawings – properties and construction of perpendicular bisectors of line segments and angle bisectors – determining whether two triangles are – congruent – similar – ratio of areas of similar plane figures – ratio of volumes of similar solids – solving simple problems involving similarity and congruence

12. Properties of circles  – symmetry properties of circles: – equal chords are equidistant from the centre – the perpendicular bisector of a chord passes through the centre – tangents from an external point are equal in length – the line joining an external point to the centre of the circle bisects the angle between the tangents – angle properties of circles:

13. Pythagoras Theorem and trigonometry  – use of Pythagoras’ theorem
– determining whether a triangle is rightangled given the lengths of three sides – use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in rightangled triangles – extending sine and cosine to obtuse angles – use of the formula 1 2 ab sin C for the area of a triangle – use of sine rule and cosine rule for any triangle – problems in two and three dimensions including those involving angles of elevation and depression and bearings

14. Mensuration  – area of parallelogram and trapezium
– problems involving perimeter and area of composite plane figures – volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere – conversion between cm2 and m2 , and between cm3 and m3 – problems involving volume and surface area of composite solids – arc length, sector area and area of a segment of a circle – use of radian measure of angle (including conversion between radians and degrees)

15. Coordinate Geometry  – finding the gradient of a straight line given the coordinates of two points on it
– finding the length of a line segment given the coordinates of its end points – interpreting and finding the equation of a straightline graph in the form y = mx + c – geometric problems involving the use of coordinates

16. Vectors in two dimensions  
Statistics and Probability 

17. Data handling and analysis  – simple concepts in collecting, classifying and tabulating data
– analysis and interpretation of: – Purposes and uses, advantages and disadvantages of the different forms of statistical representations – drawing simple inference from statistical diagrams – explaining why a given statistical diagram leads to misinterpretation of data – mean, mode and median as measures of central tendency for a set of data – purposes and use of mean, mode and median – calculation of the mean for grouped data – quartiles and percentiles – range, interquartile range and standard deviation as measures of spread for a set of data – calculation of the standard deviation for a set of data (grouped and ungrouped) – using the mean and standard deviation to compare two sets of data

18. Probability  – probability as a measure of chance
– probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability) – probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate) – addition and multiplication of probabilities (mutually exclusive events and independent events)

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