KS Learning

KS Learning
GCSE Maths

GCSE Maths

KS Learning can provide extra lessons for maths from gcse maths tutors in London and help with gcse maths past papers, gcse maths revision notes, and gcse maths revision worksheets. Maths private tuition at its tuition centre can improve maths knowledge and performance through maths lessons, mathematics tutorials and maths tuition Twickenham.

The Number Story (Once Upon a Sheep)

natural numbers - positive whole numbers: 1, 2, 3, 4, to infinity
counting numbers - zero and positive whole numbers: 0, 1, 2, 3, 4, to infinity
integers - positive and negative whole numbers plus zero : negative infinity ... -3, -2, -1, 0, 1, 2, 3, 4, to positive infinity
real numbers - all numbers on a number line

even numbers - divide by two exactly e.g. 2, 4, 6, 8
odd numbers - do not divide by two exactlye.g. 11, 13, 15, 17
prime numbers - have only two factors, one and themselves e.g. 2, 3, 5, 7, 11. Note that 1 is not a prime number because it has only one factor
surds - the root of a prime number or the product of different primes
fractions - a portion of a whole
square numbers - a number multiplied by itself produces a square number e.g. 4, 9, 16
cube numbers - a number multiplied by itself three times produces a cube number e.g. 8, 27, 64

factor - a number that divide exactly into another number eg. 3 is a factor of 6
multiple - a number in the timetable of another number eg. 12 is a multiple of 6
highest common factor - the largest number that divides into two or more numbers exactly eg. 6 is the HCF of 24 and 30 (HCF)
lowest common multiple - the smallest number that two or more numbers divide into exactly eg. 120 is the LCM of 24 and 30 (LCM)

rational numbers - a rational number is any number that can be expressed as a fraction p/q where p and q are integers. Integers are rational numbers as they can be written over 1
irrational numbers - an irrational number cannot be written as a fraction. For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers

SI Prefixes

Index Symbol Name
1012 T tera
109 G giga
106 M mega
103 k kilo
102 h hecto
101 da deca
base unit
10-1 d deci
10-2 c centi
10-3 m milli
10-6 µ micro
10-9 n nano
10-12 p pico


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