Quick Review Companion

Quick Extensive Coverage of Math Syllabus!

The following are 30 of the most common topics covered in the BGCSE Math Core Papers 1 & Papers 2 syllabus combined.

Volume 1

Writing Numbers
Pythagoras' Theorem
Basic Algebra 1
Trigonometry 1
Trigonometry 2

Volume 2

Circles & Angles
Ratio & Scales
Basic Algebra 2
Lines & Angles
Probability 1
Probability Trees

Volume 3

Transformations 1
Transformations 2
Striaght Line Graphs
Curved Graphs
Simultaneous Equations
Using the Calculator
Algebra 3

BGCSE Math Core Syllabus (2/3)

17 Personal and household finance [Volume 2]

calculate (making use of tables and charts): simple interest, discount profit/loss, earnings

18 Graphs [Volume 3]

use the cartesian coordinates for two dimensional graphs and interpret (and draw) travel graphs, conversion graphs

19 Graphs of functions [Volume 3]

linear and quadratic graphs involving whole number coefficients and graphs of the form a/x
where a is also a whole number. Solve linear and quadratic equations using graphs.

20 Straight line graphs

-NA for core-

21 Algebraic representation [Volume 1, 2 & 3]

express relationships written in language using numbers and letters. The subject of the
relationship may appear more than once.

22 Algebraic Manipulation [Volume 1, 2 & 3]

extract common factors.

23 Functions

-NA for core-

24 Indicies

perform calculations with positive, negative and zero indicies

25 Solving Equations [Volume 1, 2 & 3]

solve linear equations for one unknown and simultaneous linear equations for two unknowns

26 Linear Programming

r-NA for core-

27 Geometrical terms and relationship [Volume 2]

know terms: points, obtuse, acute, reflex angles, line, bearing, parallel, right angle,
perpendicular, similar, congruence. Know terms associated with circles, polygons,
quadrilaterals and simple solids, and nets.

28 Geometrical Constructions

measure and bisect angles, construct 60 degrees and 90 degrees angles using a stright edge and compasses,
measure lines, draw to scale, draw triangles given three sides using only ruler and compasses

29 Symmetry

identify and draw lines of symmetry for linear symmetry and rotational symmetry

30 Angle properties [Volume 2]

angles at a point, angels formed within parallel lines, angles in a triangle/quadrilateral,
angle properties of regular polygons, angle in a semi circle, angle between tangent and
radius of a circle

31 Mensuration [Volume 1]

calculate are of triangle, rectangle, circle, trapezium, parallelogram and any shape formed
by any combination of these. Calculate the volume of cylinder, cuboid and

32 Trigonometry [Volume 1]

use bearings to measure angles (e.g. 030 degrees), use pythagoras theorem and the sine, cosine,
tangent rule to find missing angle or missing side of a right angle triangle. Solve real
world application problems, such as angle of elevation and depression, All angles are written
as decimals.

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For copyright purposes and to suit the context and style of this review, the wording of this syllabus does not appear as in the official syllabus provided by the Ministry of Education.