Everything! (kms) Flashcards

1
Q

HCF

A

Multiply all numbers in the middle of venn diagram

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2
Q

LCM

A

multiply all numbers in the whole venn diagram

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3
Q

Fractions - Addition

A

Find a common denominator

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4
Q

Fractions - Multiplication

A

Top x top and bottom x bottom

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5
Q

Fractions - division

A

KFC - Keep, Flip, Change

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6
Q

Probability - sum of all outcomes

A

Equals 1

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7
Q

Sequences - summation

A

n/2 [2a+(n-1)d]

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8
Q

Sequences - nth term

A

a + (n-1)d

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9
Q

Transformations - rotation

A

Centre, angle, direction

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10
Q

Transformations - rotation

A

Centre, angle, direction

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11
Q

Transformations - Enlargement

A

Centre, scale factor

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12
Q

Averages - mean

A

Sum of the terms/number of terms

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13
Q

Averages - mode

A

Most frequent

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14
Q

Averages - median

A

Middle value when data is ordered

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15
Q

Averages - range

A

Largest minus the smallest

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16
Q

Averages - IQR

A

Upper quartile - lower quartile

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17
Q

Frequency tables - mean

A

Sum of midpoints x frequency/ sum of frequency

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18
Q

Frequency tables - modal class

A

Most frequent class

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19
Q

Standard form -required form

A

a x 10^n where a is less than 10

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20
Q

Percentages - multiplier

A

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

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21
Q

Percentages - % change

A

Change / original x 100

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22
Q

Compound interest

A

P(1 + r/n)nt

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23
Q

Inequalities - divide or multiply by a negative

A

Flip the sign

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24
Q

Speed formula

A

Distance/Time

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25
Density formula
Mass/volume
26
Pressure formula
Force/area
27
Bearings - how to measure
From north and clockwise
28
Bearings - back bearings
+ or - 180 whichever is between 0-360
29
Trapezium formula
1/2(a+b) x h
30
Circumference/perimeter of a circle
2pi r
31
Surface area
Sum the area of all the faces
32
Total surface area
2(pi)rh + 2pi r^2
33
Straight lines - length of a line
√(x2 - x1)^2 + (y2-y1)^2
34
Midpoint of two points
(x1 + x2 / 2 , y1 + y2 / 2 )
35
Quadratic graph positive
X^2 happy face
36
Quadratic graph negative
-x^2 sad face
37
Cubic graph positive
X^3 wiggle from bottom left
38
Cubic graph negative
-x^3 wiggle from top left
39
Reciprocal Graph Positive
1/x two curves in the corner from bottom left
40
Reciprocal Graph Negative
- 1/x two curves in the corner from the top left
41
Probability - tree diagrams
And - multiply Or - add At least one - 1-none
42
Chord theorem
AP X BP = CP X DP
43
Histograms formula
Frequency density = frequency/class width
44
Similar shapes - linear scale factor
K
45
Similar shapes - area scale factor
K^2
46
Similar shapes - volume scale factor
K^3
47
Graph transformations - f(x) + a
Translation Up
48
Graph transformations - f(x) - a
Translation Down
49
Graph transformations - f(x-a)
Translation Right
50
Graph transformations - f(x + a)
Translation Left
51
af(x)
Stretch in y axis by scale factor a
52
af(x)
Stretch in y axis by scale factor a
53
f(ax)
Stretch in x axis by scale factor 1/a
54
Reflection in x axis
-f (x)
55
Reflection in x axis
-f (x)
56
F(-x)
Reflection in y axis
57
Arc length of a sector
?/360 x 2pi r
58
Area of a sector
?/360 x pi (r)^2
59
Total surface area of a cone
Pi (r)^2 + pi rl
60
Sine for angles
Sin A / a = Sin B / b
61
Cosine for angles
Cos A = b^2 + c^2 - a^2 / 2bc
62
3d Pythagoras - long diagonal of a cuboid
d = √a^2 + b^2 + c^2