GCSE Edexcel Maths Higher Guide
With Questions And Answers|Graded
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surface area of a cone -ANSWER πr x slanted length x πr^2
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 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
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 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
dividing fractions -ANSWER KEEP TIMES SWITCH- KTS
common denominator is also.... -ANSWER something both denominators divide into
fibonacci sequence -ANSWER adding together the 2 previous terms
how to know if 2 lines are perpendicular -ANSWER if gradient is m perpendicular will be -
(1/m)
cubic graph -ANSWER
reciprocal graph (positive) -ANSWER
exponential graph -ANSWER
With Questions And Answers|Graded
A+|Newest Update|100% Trusted
Source
surface area of a cone -ANSWER πr x slanted length x πr^2
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 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
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 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
dividing fractions -ANSWER KEEP TIMES SWITCH- KTS
common denominator is also.... -ANSWER something both denominators divide into
fibonacci sequence -ANSWER adding together the 2 previous terms
how to know if 2 lines are perpendicular -ANSWER if gradient is m perpendicular will be -
(1/m)
cubic graph -ANSWER
reciprocal graph (positive) -ANSWER
exponential graph -ANSWER
