# 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

Algebraic expressions

6. Functions and graphs

functions and graphs

7. Equations and inequalities

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:
– angle in a semicircle is a right angle
– angle between tangent and radius of a circle is a right angle
– angle at the centre is twice the angle at the circumference
– angles in the same segment are equal
– angles in opposite segments are supplementary

13.  Pythagoras Theorem and trigonometry   use of Pythagoras’ theorem

determining whether a triangle is right-angled given the lengths of three sides

use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled 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 straight-line graph in the form y = mx + c

geometric problems involving the use of coordinates

16.  Vectors in two dimensions

Vectors in two dimensions

## Statistics and Probability

17.  Data handling and analysis   simple concepts in collecting, classifying and tabulating data

analysis and interpretation of:
– tables
– bar graphs
– pictograms
– line graphs
– pie charts
– dot diagrams
– histograms with equal class intervals
– stem-and-leaf diagrams
– cumulative frequency diagrams
– box-and-whisker plots

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)