IGCSE MATHS:VERIFIED QUESTIONS AND ANSWERS
Integer
A whole number, which can be positive, negative, or zero:
Natural number
A positive whole number, or 'counting number'
Square number
A number that is the result of multiplying an integer by itself
Cube number
A number that is the result of multiplying three integers that are the same
Prime number
A number that divides exactly by only two numbers: itself and 1. 1 is not a prime number. It only
divides by one numbe
Fraction
A number that represents part of a whole number. There are two ways of writing fractions: vulgar
fractions or decimal fractions
Rational number
A number that can be written as a vulgar fraction.
Irrational number
A number that cannot be written as a vulgar fraction.
Real number
All of the types of number above, and all of the numbers you will meet in this book. Real
numbers can be placed on a number line.
factors
A number that divides exactly into another number, leaving no remainder.
common multiples
A multiple that two or more numbers have in common.
lowest common multiple
The smallest multiple shared by two or more numbers
, highest common factor
The largest factor shared by two or more numbers.
simplest form
The form of a fraction that has the smallest possible integers as the numerator and denominator.
terminating decimal
A decimal that has a finite number of digits after the decimal point.
recurring decimal
decimal that has digits that repeat forever
order of operations
BIDMAS/PEMDAS
Reverse percentage
Method used to find the original price of something after the price has changed.
percentage increase
Actual increase ÷ original value x 100.
percentage decrease
Actual decrease ÷ original value x 100.
Multiplying with indices
add the indices
Dividing with indices
subtract the second index
Raising a power to a power
multiply the indices
standard form
A way of writing any integer or decimal in the form A×10nA×10n where 1≤A<101≤A<10 and n
is an integer
adding/subtract standard form
Integer
A whole number, which can be positive, negative, or zero:
Natural number
A positive whole number, or 'counting number'
Square number
A number that is the result of multiplying an integer by itself
Cube number
A number that is the result of multiplying three integers that are the same
Prime number
A number that divides exactly by only two numbers: itself and 1. 1 is not a prime number. It only
divides by one numbe
Fraction
A number that represents part of a whole number. There are two ways of writing fractions: vulgar
fractions or decimal fractions
Rational number
A number that can be written as a vulgar fraction.
Irrational number
A number that cannot be written as a vulgar fraction.
Real number
All of the types of number above, and all of the numbers you will meet in this book. Real
numbers can be placed on a number line.
factors
A number that divides exactly into another number, leaving no remainder.
common multiples
A multiple that two or more numbers have in common.
lowest common multiple
The smallest multiple shared by two or more numbers
, highest common factor
The largest factor shared by two or more numbers.
simplest form
The form of a fraction that has the smallest possible integers as the numerator and denominator.
terminating decimal
A decimal that has a finite number of digits after the decimal point.
recurring decimal
decimal that has digits that repeat forever
order of operations
BIDMAS/PEMDAS
Reverse percentage
Method used to find the original price of something after the price has changed.
percentage increase
Actual increase ÷ original value x 100.
percentage decrease
Actual decrease ÷ original value x 100.
Multiplying with indices
add the indices
Dividing with indices
subtract the second index
Raising a power to a power
multiply the indices
standard form
A way of writing any integer or decimal in the form A×10nA×10n where 1≤A<101≤A<10 and n
is an integer
adding/subtract standard form
