Paper 1 Flashcards
Gradient formula
Change in Y
——————
Change in X
Equation of a straight line
y = mx + c
Radius of a circle formula?
x2 + y2 = r2
what do you multiply by to convert m² into cm²?
x10,000
Division to convert cm² into m²?
÷10,000
Multiplication to covert m³ into cm³
x1,000,000
Multiplication to convert litres to cm³?
x1,000
ml = cm³, true or false?
True
ml = cm³
Division for cm³ to m³
÷1,000,000
Division for cm³ into litres
÷1,000
What is the formula for volume?
Volume = mass/density
What is the formula for pressure?
Pressure = force/area
Equation of parallel lines
y = mx + c
Gradient formula
Change in y
—————-
Change in x
Capture - Recapture formula?
M R
— = —
N T
M = total marked N = total population R = number “recaptured” T = total capture on 2nd visit
What percentage is the lower quartile?
25%
What percentage is the median?
50%
What percentage is the upper quartile?
75%
What is the formula for position of the median when using quartile from a list?
n+1
——
2
What is the formula for the position of the lower quartile when using quartile from a list?
n+1
——
4
What is the formula for the position of the upper quartile when using quartile from a list?
n+1
—— x3
4
Interquartile range formula
Upper quartile - lower quartile
On a box plot compare question what do you have to write about?
Median
Range
Interquartile range
When is the cosine rule used
2 lengths, with angle inbetween them
All sides, with missing angle
When is Pythagoras used?
When there is a right angle triangle with just at lengths and no angles
When is the sine rule used?
When there is opposite angles and sides.
When is SohCahToa used?
When there is a right angle triangle with sides and angles.
What is the sine rule?
a b
——— = ———
Sin A Sin B
a, b = sides
A, B = angles
Volume of a cylinder =
πr²h
Volume of a cone=
1
—πr²h
3
Two tangents from the same point are?
Equal
A tangent meets a radius at?
90 degrees
Circle theorem, angles in the same segment are?
Equal
Circle theorem, the angle at the centre is twice the angle at the?
Circumference
Circle theorem, An angle in a semi circle is?
90 degrees
Opposite angles in a cyclic quadliteral add to?
180 degrees.
On a trigonometric graph how often does y = sin(x) touch the graph?
Every 180 degrees
Repeats every 360 degrees
On a trigonometric graph how often does y = cos(x) touch the graph?
Every 180 degrees starting at 90 degrees
Repeats every 360 degrees
On a trigonometric graph how often does y = tan(x) touch the graph?
Acemtotes
A line the graph never touches
Every 180 degrees starting at 90 degrees.
Area of a trapezium?
a+b/2 x height
Frequency density =
Frequency
—————
Width
