Everything! (kms) Flashcards
HCF
Multiply all numbers in the middle of venn diagram
LCM
multiply all numbers in the whole venn diagram
Fractions - Addition
Find a common denominator
Fractions - Multiplication
Top x top and bottom x bottom
Fractions - division
KFC - Keep, Flip, Change
Probability - sum of all outcomes
Equals 1
Sequences - summation
n/2 [2a+(n-1)d]
Sequences - nth term
a + (n-1)d
Transformations - rotation
Centre, angle, direction
Transformations - rotation
Centre, angle, direction
Transformations - Enlargement
Centre, scale factor
Averages - mean
Sum of the terms/number of terms
Averages - mode
Most frequent
Averages - median
Middle value when data is ordered
Averages - range
Largest minus the smallest
Averages - IQR
Upper quartile - lower quartile
Frequency tables - mean
Sum of midpoints x frequency/ sum of frequency
Frequency tables - modal class
Most frequent class
Standard form -required form
a x 10^n where a is less than 10
Percentages - multiplier
Increase = 100 + x / 100
Decrease = 100- x / 100
Percentages - % change
Change / original x 100
Compound interest
P(1 + r/n)nt
Inequalities - divide or multiply by a negative
Flip the sign
Speed formula
Distance/Time
Density formula
Mass/volume
Pressure formula
Force/area
Bearings - how to measure
From north and clockwise
Bearings - back bearings
+ or - 180 whichever is between 0-360
Trapezium formula
1/2(a+b) x h
Circumference/perimeter of a circle
2pi r
Surface area
Sum the area of all the faces
Total surface area
2(pi)rh + 2pi r^2
Straight lines - length of a line
√(x2 - x1)^2 + (y2-y1)^2
Midpoint of two points
(x1 + x2 / 2 , y1 + y2 / 2 )
Quadratic graph positive
X^2 happy face
Quadratic graph negative
-x^2 sad face
Cubic graph positive
X^3 wiggle from bottom left
Cubic graph negative
-x^3 wiggle from top left
Reciprocal Graph Positive
1/x two curves in the corner from bottom left
Reciprocal Graph Negative
- 1/x two curves in the corner from the top left
Probability - tree diagrams
And - multiply
Or - add
At least one - 1-none
Chord theorem
AP X BP = CP X DP
Histograms formula
Frequency density = frequency/class width
Similar shapes - linear scale factor
K
Similar shapes - area scale factor
K^2
Similar shapes - volume scale factor
K^3
Graph transformations - f(x) + a
Translation Up
Graph transformations - f(x) - a
Translation Down
Graph transformations - f(x-a)
Translation Right
Graph transformations - f(x + a)
Translation Left
af(x)
Stretch in y axis by scale factor a
af(x)
Stretch in y axis by scale factor a
f(ax)
Stretch in x axis by scale factor 1/a
Reflection in x axis
-f (x)
Reflection in x axis
-f (x)
F(-x)
Reflection in y axis
Arc length of a sector
?/360 x 2pi r
Area of a sector
?/360 x pi (r)^2
Total surface area of a cone
Pi (r)^2 + pi rl
Sine for angles
Sin A / a = Sin B / b
Cosine for angles
Cos A = b^2 + c^2 - a^2 / 2bc
3d Pythagoras - long diagonal of a cuboid
d = √a^2 + b^2 + c^2
