Karteikarten
iGCSE Math
Karten in diesem Stapel (40)
- 1CircleArea= πr2
Circumference= 2πr - 2ProbilityPut in percentage, or fraction or decimal.
P= the number of ways an event can occur/ the total number of possible outcomes - 3Measurement Units100mm=1cm
100cm=1M
1000M=1km
kilo-> 1000 - 4Persentagesconverting: 65%=0.65=16/25
In/decrease: actual de(in)crease/orginal amount *100 - 5NumbersRational: is a number that can be written as a simple fraction
Multiples: is the product of any quantity and an integer
Fractors: numbers that you can multiply together to get another number
Primes: can only be divided by 1 or itself.
LCM: lowest common multiple
HCF: highest common factor - 6Factorising2x²-1x-6
=(2x+3)(x-2) - 7Triganometry (SOHCAHTOA)SOHCAHTOA
Silly Old Hagrid Caught A Hippogriff Trotting Over Apples
Sin=oposite/hypothenuse
Cos= ajasent/hypothenuse
tan= opposite/ajasent - 8Trigonometry AreaIf we know the height we can use:
A= 1/2×ab×sin(c - 9AveragesMode: most common
Median: the middle number when arranged in acceding order.
Range: spread of data
mean: all numbers divided by amount of numbers. - 10Anglesacute= 0° to 90°
obtuse=90° to 180°
reflex=180° to 360°
right angle=90° - 11Shears & Stretch
- 12Pie charts and Percentage.Percentage= frequency/total frequency ×100
- 13Probability tree
- 14Box Plots
- 15Quadratic Equationsax ²+bx+c=0
- 16Shapes3 side- triangle-180°
4-quadrilateral-360°
5-pentagon-540°
6-hexagon-720°
7-heptagon-900°
8-octagon-1080°
9-nonagon-1260°
10-decagon-1440° - 17Pythagoras theruma²+b²=c²
- 18Area
- 19Volumecube = a ³
rectangular prism = a b c
irregularprism = b×h
cylinder = b h = pi r ² h
pyramid = (1/3) b h
cone = (1/3) b h = 1/3 pi r ² h
sphere = (4/3) pi r ³ - 20Transforming CurvesIn general, if we start with y = f(x), then:-
y = f(x) + a translates f(x) 'a' units in the y-direction (translation 0 over a) - 21Quadratic sequencesIf you use the formula n2 + n to make a sequence, it means that:
When n = 1 you get 12 + 1 = 2
When n = 2 you get 22 + 2 = 6
When n = 3 you get 32 + 3 = 12
- 22Circle thereoms
- 23Trigonometry (flowchart)
- 24Sine and Cosine RulesThe sine rule: a/SinA= b/SinB= c/SinC
or
SinA/a= a/SinA= b/SinB
The cosine rule: a ²=b ²+c ²-2bc×Cos(c - 25Upper and lower boundUpper bound: the highest possible number when rounding
Lower bound: the lowest possible number when rounding
ie- 75 Upper= 75.499
Lower= 54.5 - 26FractionsAdd:1/2 + 2/3 = 3/6 + 4/6 =7/6 = 1 1/6
Subtract: 2/3 - 1/2 =4/6 -3/6= 1/6
Multiply: 1/2 × 2/3 =2/6 =1/3
Divide: 1/2 ÷ 2/3=1/2 × 3/2= 3/4
Fractions of amounts: 2/5 of 100
100 ÷ 5=20
20×2= 40 - 27Multiplying Matrix
- 282×2 MatrixStep 1 calculate ad-bc
Step 2 Swap the positions of a and d, change the signs of b and c.
Step 3 Multiply the new matrix by 1/determinant
- 29Adding Matrices
- 30Subtracting Matrices
- 31Sets and Vendiagrams
- 32Rectanglearea= length x width
perimeter=(length*2) + (length*2) - 33Trianglearea= 1/2 * base * height
perimeter= add up all sides - 34Trapeziumarea= sum of parallel/2 *height
- 35Functionsf(x)=
- 36SymetryLine of symmetry>
Rotational symmetry (how many times do you have to turn it to be the same)
- 37Accuracy
- 38The four rules (BODMAS)
- 39Squares and Square-roots(−5) × (−5) = 25
5 × 5 = 25
6 × 6 = 36, so
√36 = 6
- 40—
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- Beschreibung
- O Math Karteikarten am iGCSE Math, erstellt von Ringisai Campbell am 06/05/2015.
- Erstellt von
- Ringisai Campbell
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