Memorise for IGCSE Maths Flashcards

1
Q

HCF

A

Multiply all numbers in the middle of venn diagram

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2
Q

LCF

A

Multiply all the numbers in th whole venn diagram

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3
Q

Adding + Subtracting Fractions

A

Find a common denominator

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4
Q

Multiplication of Fractions

A

Top x Top and Bottom x Bottom

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5
Q

Division of Fractions

A

KFC - Keep, flip, change

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6
Q

Sum of all outcomes - Probability

A

Equals to 1

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7
Q

Nth Term - Sequences

A

difference x n + 0th term

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8
Q

Translation - Transformations

A

By vector (a/b) a = right, -a = left, b = up, -b = down

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9
Q

Reflection - Transformations

A

In line x = a (horizontal) y = b (vertical)

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10
Q

Rotation - Transformations

A

centre, angle, driection (CW or ACW)

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11
Q

Enlargement - Transformations

A

Centre, scale factor

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12
Q

Multiplier - Percentages

A

Increase = 100+x/100, Decrease = 100-x/100

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13
Q

% Change - Percentages

A

Change/Original x 100

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14
Q

Reverse % - Percentages

A

Original = New/Multiplier

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15
Q

Inequalities

A

y<mx+c = shade below the line, y>mx+x = shade above the line

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16
Q

Indicies

A

(a^m)^n = a^mxn
a^-m = 1/a^m
a^1/n = ^n\sqrt{a}
a^m/n = ^n\sqrt{a^m}

17
Q

Measuring Speed, Density + Pressure

A

Speed = Distance/Time
Density = Mass/Volume
Pressure = Force/Area

18
Q

Angles

A

Straight line - Adds to 180
Around a point - Adds to 360
Corresponding - Equal
Alternate - Equal
Vertically opposite - Equal
CO-interior - Adds to 180

19
Q

Angles in Polygons

A

Interior angles = (n-2) x 180
Exterior angles = 360
Interior + Exterior = 180

20
Q

Bearings

A

Meaured - From North and clockwise
Back bearings - Differ by 180

21
Q

Area

A

Parallelograms = bxh
Triangle = bxh/2
Trapezium = 1/2(a+b)xh
Circle = Pi x r^2
Circumference = 2 x Pi x r

22
Q

Volume

A

Prism = Cross-Sectional Area x Height
Surface Area = Sum the areas of all the faces
Cylinder = Pi x r^2 x h
Curved Surface Area = 2 x Pi x r x h
Total Surface Area = 2 x Pi x r x h + 2 x Pi x r^2

23
Q

Straight Lines

A

y=mx+c where m = gradient and c = y-intercept
Gradient = y2-y1/x2-x1
Length of line = Square root of (x2-1)^2+(y2+y1)^2
Midpoint = (x1+x2/2, y1+y2/2)
Parallel = Same Gradient

24
Q

Probability

A

And = Multiply
Or = Add
At least 1 = 1-none

25
Circle Theorms
- Angles from same segment are equal - Angle at centre twice circumference angle - Opposites in cyclic quadrilateral add to 180 - Tangent and radius 90 - Tangents that meet are equal - Alternate segment Theorem - 2 radii make isoscleles triangle
26
Set Theory
AnB - Intersection - Both AuB - Union - Either A' - Not A Q - Empty E - Univeral Set n(A) - Number of elements in A AcB - A is subset of B
27
Proportion
Directly Proportional - y=kx Inversely Proportional - y=k/x
28
Histograms
Frequenncy Density = Frequency/Class Width
29
Similar Shapes
Linear Scale factor - k Area Scale Factor - k^2 Volume Scale Factor - k^3
30
Surds
root a x root b = root axb root a/b = root a/root b x/root a = multiply top and bottom by root a x/root a + b = Multiply top and bottom by root a - b
31
Cones and Spheres
Volume of Cone = 1/3 x Pi x r^2 x h Curved Surface Area = Pi x r x L Total Surface Area = Pi x r^2 + Pi x r x L Volume of Sphere = 4/3 x Pi x r^3 Surface Area = 4x Pir x r^2
32
Sectors
Arc length = O/360 x 2 x Pi x r Area = O/360 x Pi x r^2
33
3D Pythagoras
Long diagonal of a Cubiod - d = root a^2+b^2+c^2
34
Completing the Square
Minimum point (x+p)^2+q = (-p,q) Symmetry line - x=-p
35
Perpendicular lines
Perpendicular Gradients - Negative reciprocal, m2 = -1/m1 Alternate Equation of line - y-y1 = m(x-x1)
36
Funcntions
Composite Functions - fg(x) Means do g then f Inverse Functions - y=f(x) --- x=f^-1(y)
37
Differentiation
Differentiating y = ax^n - dy/dx = nax^n-1 Stationary Points - dy/dx = 0
38
Kinematics
Differentiate = Displacement - Velocity - Acceleration
39
Sequences
Notation - a = first term, d = difference, n = position Summation - Sn = n/2(2a+(n-1)d) Nth Term - an = a +(n-1)d