Mathematics Paper 2F
Solved Paper
area of a circle - answer-
surface area of a sphere - answer-
surface area of a cone - answer-πr x slanted length x πr^2
volume of cone - answer-
volume of a sphere - answer-
area of trapezium - answer-1/2(a+b) x height
circumference of a circle - answer-π x d
volume of a cuboid - answer-l x w x h
volume of a cylinder - answer-
volume of a pyramid - answer-1/3 x area of base x h
distance - answer-speed x time
density - answer-mass/volume
pressure - answer-force/area
Pythagoras' Theorem - answer-a^2 + b^2 = c^2
Quadratic equation - answer-when ax^2 + bx + c = 0
Sine rule - answer-a/sinA = b/sinB = c/sinC
Cosine rule - answer-
Area of a triangle - answer-1/2 x a x b x sinC
,area of a sector - answer-angle/360 x area of full circle
segment area - answer-sector area - area of triangle
x angles - answer-equal
corresponding angles - answer-equal
alternate angles - answer-equal
co-interior angles - answer-add to 180
total of exterior angles - answer-360
1 exterior angle - answer-360/number of sides
sum of interior angles - answer-(sides - 2) x 180
sin/cos/tan 45, lengths= - answer-
sin/cos/tan 30 or 60, lengths= - answer-
a^m x b^n - answer-ab^m+n
a^m / b^n - answer-a/b^m-n
a^0 - answer-1
a^1 - answer-a
(a^m)^n - answer-a^mxn
(a/m)^n - answer-a^n/m^n
a^-m - answer-1/a^m
a^1/m - answer-^m√a
a^m/n - answer-(^n√a)^m
3D Pythagoras' theorem - answer-a^2 + b^2 + c^2 = d^2
when to use cosine rule - answer-2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - answer-2 angles any side
, 2 sides and an angle thats not enclosed by them
inverse functions - answer-replace x's with y's and make everything equal to x
make y the subject
replace the y with f^-1(x)
y=f(x)+a - answer-translation in the y-axis (move up or down by the amount of a eg. +2
= move up 2)
y=f(x+a) - answer-translation in the x-axis (but if it says +2 move down 2 ITS
OPPOSITE!!)
y=f(xa) - answer-stretch in the x direction (leaving the y values unchanged) by a factor
of 1/a
y=f(x/a) - answer-stretch in the x direction (leaving the y values unchanged) by a factor
of a
y=-f(x) - answer-reflection in the x-axis
y=f(-x) - answer-reflection in the y-axis
∉ - answer-not a member of a set
∈ - answer-member of a set
ξ - answer-universal set (all the numbers in the Q)
∪ - answer-union (combination of all members of each set in question)
∩ - answer-intersect (all numbers that are members of exclusively both sets in question)
' - answer-Everything NOT in the set
√a x √b - answer-√a x b
√a / √b - answer-√a/b
√a + √b - answer-DO NOTHING
a/ √b - answer-a/√b x √b/√b = a√b/b
'exact value' meaning - answer-surd form
when to use quadratic formula - answer-if it wont factorise
if the question mentions decimal places or significant figures