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# Quick Review Companion for BGCSE MATH

## 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

Numbers
Writing Numbers
Polygons
Pythagoras' Theorem
Pie-Charts
Basic Algebra 1
Trigonometry 1
Trigonometry 2
Sets
Measurements

### Volume 2

Circles & Angles
Brackets
Ratio & Scales
Proportion
Basic Algebra 2
Lines & Angles
Statistics
Money
Probability 1
Probability Trees

### Volume 3

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

## BGCSE Math Core Syllabus (1/3)

1 Numbers [Volume 1]

natural, prime numbers, rational, irrational, integers (positive, negative, zero),
common factors and multiples, complete a number sequences, express as simple algebraic expression

2 Sets [Volume 2]

use terminology, notation and Venn diagrams to describe sets. e.g.
A = {x: a < x}
B = {y: y is prime}
Notation and respective terminology for: number of elements in a set,___ is (not) an element of___,
complement of a set, universal set, is (not) a subset, union of A and B, intersection of A and B

3 Squares and roots [Volume 1]

calculate squares and square roots

4 Directed Numbers [Volume 1]

real world calculations involving directed numbers e.g. temperature change, flood levels

5 Decimals, Fractions and Percentages [Volume 1 & 3]

use terminology and language of fractions, decimals and percentages, convert between each form and spot equivalences

6 Ordering [Volume 1]

order all types of numbers by magnitude and be ready to use signs such as: less than, greater
than,less than or equal to etc.

7 Standard form [Volume 1]

express numbers in standard form

8 BOMDAS [Volume 1]

Apply BOMDAS to fractions, decimals and whole numbers

9 Estimation

estimate quantites e.g. lengths, and round to the correct number of significant figures
or decimal places (whether specified or not)

10 Limits of accuracy

give upper and lower bounds of data

11 Ratio, Proportion, Rate [Volume 2]

divide a quantities into a given ratio, use scales on a map

12 Percentages [Volume 3]

find percentage of a quantity, percent increase/decrease, a quantity as a percent of another.

13 Using a calculator [Volume 3]

correctly use a calculator and care to write results to the correct number of significant figures and decimal places

14 Measurement [Volume 1]

know the units for mass, length, area, volume and convert between bigger and smaller quantities e.g. kg to g

15 Time

read clocks (with hands) and timetables and calculate for elapsed time or new time after/before elapsed time for both the 12 hour and 24 hour clock

16 Money [Volume 2]

Convert currency, calculate using money (e.g. \$32.33 - 25 cents)

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