GCSE Edexcel Maths Higher final Exam With Questaions Answers (100% Solved)
area of a circle - ✔✔✔–
surface area of a sphere - ✔✔✔–
surface area of a cone - ✔✔✔–πr x slanted length x πr^2
volume of cone - ✔✔✔–
volume of a sphere - ✔✔✔–
area of trapezium - ✔✔✔–1/2(a+b) x height
circumference of a circle - ✔✔✔–π x d
volume of a cuboid - ✔✔✔–l x w x h
volume of a cylinder - ✔✔✔–
volume of a pyramid - ✔✔✔–1/3 x area of base x h
distance - ✔✔✔–speed x time
density - ✔✔✔–mass/volume
pressure - ✔✔✔–force/area
Pythagoras' Theorem - ✔✔✔–a^2 + b^2 = c^2
Quadratic equation - ✔✔✔–when ax^2 + bx + c = 0
Sine rule - ✔✔✔–a/sinA = b/sinB = c/sinC
Cosine rule - ✔✔✔–
Area of a triangle - ✔✔✔–1/2 x a x b x sinC
area of a sector - ✔✔✔–angle/360 x area of full circle
segment area - ✔✔✔–sector area - area of triangle
x angles - ✔✔✔–equal
corresponding angles - ✔✔✔–equal
alternate angles - ✔✔✔–equal
,GCSE Edexcel Maths Higher final Exam With Questaions Answers (100% Solved)
co-interior angles - ✔✔✔–add to 180
total of exterior angles - ✔✔✔–360
1 exterior angle - ✔✔✔–360/number of sides
sum of interior angles - ✔✔✔– (sides - 2) x 180
sin/cos/tan 45, lengths= - ✔✔✔–
sin/cos/tan 30 or 60, lengths= - ✔✔✔–
a^m x b^n - ✔✔✔–ab^m+n
a^m / b^n - ✔✔✔–a/b^m-n
a^0 - ✔✔✔–1
a^1 - ✔✔✔–a
(a^m)^n - ✔✔✔–a^mxn
(a/m)^n - ✔✔✔–a^n/m^n
a^-m - ✔✔✔–1/a^m
a^1/m - ✔✔✔–^m√a
a^m/n - ✔✔✔–(^n√a)^m
3D Pythagoras' theorem - ✔✔✔–a^2 + b^2 + c^2 = d^2
when to use cosine rule - ✔✔✔–2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - ✔✔✔–2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions - ✔✔✔–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 - ✔✔✔–translation in the y-axis (move up or down by the amount of a e.g. +2 =
move up 2)
, GCSE Edexcel Maths Higher final Exam With Questaions Answers (100% Solved)
y=f(x+a) - ✔✔✔–translation in the x-axis (but if it says +2 move down 2 ITS
OPPOSITE!!)
y=f(xa) - ✔✔✔–stretch in the x direction (leaving the y values unchanged) by a factor of
1/a
y=f(x/a) - ✔✔✔–stretch in the x direction (leaving the y values unchanged) by a factor of
a
y=-f(x) - ✔✔✔–reflection in the x-axis
y=f(-x) - ✔✔✔–reflection in the y-axis
∉ - ✔✔✔–not a member of a set
∈ - ✔✔✔–member of a set
ξ - ✔✔✔–universal set (all the numbers in the Q)
∪ - ✔✔✔–union (combination of all members of each set in question)
∩ - ✔✔✔–intersect (all numbers that are members of exclusively both sets in question)
' - ✔✔✔–Everything NOT in the set
√a x √b - ✔✔✔–√a x b
√a / √b - ✔✔✔–√a/b
√a + √b - ✔✔✔–DO NOTHING
a/ √b - ✔✔✔–a/√b x √b/√b = a√b/b
'exact value' meaning - ✔✔✔–surd form
when to use quadratic formula - ✔✔✔–if it won’t factorize
if the question mentions decimal places or significant figures
dividing fractions - ✔✔✔–KEEP TIMES SWITCH- KTS
common denominator is also.... - ✔✔✔–something both denominators divide into
fibonacci sequence - ✔✔✔–adding together the 2 previous terms
area of a circle - ✔✔✔–
surface area of a sphere - ✔✔✔–
surface area of a cone - ✔✔✔–πr x slanted length x πr^2
volume of cone - ✔✔✔–
volume of a sphere - ✔✔✔–
area of trapezium - ✔✔✔–1/2(a+b) x height
circumference of a circle - ✔✔✔–π x d
volume of a cuboid - ✔✔✔–l x w x h
volume of a cylinder - ✔✔✔–
volume of a pyramid - ✔✔✔–1/3 x area of base x h
distance - ✔✔✔–speed x time
density - ✔✔✔–mass/volume
pressure - ✔✔✔–force/area
Pythagoras' Theorem - ✔✔✔–a^2 + b^2 = c^2
Quadratic equation - ✔✔✔–when ax^2 + bx + c = 0
Sine rule - ✔✔✔–a/sinA = b/sinB = c/sinC
Cosine rule - ✔✔✔–
Area of a triangle - ✔✔✔–1/2 x a x b x sinC
area of a sector - ✔✔✔–angle/360 x area of full circle
segment area - ✔✔✔–sector area - area of triangle
x angles - ✔✔✔–equal
corresponding angles - ✔✔✔–equal
alternate angles - ✔✔✔–equal
,GCSE Edexcel Maths Higher final Exam With Questaions Answers (100% Solved)
co-interior angles - ✔✔✔–add to 180
total of exterior angles - ✔✔✔–360
1 exterior angle - ✔✔✔–360/number of sides
sum of interior angles - ✔✔✔– (sides - 2) x 180
sin/cos/tan 45, lengths= - ✔✔✔–
sin/cos/tan 30 or 60, lengths= - ✔✔✔–
a^m x b^n - ✔✔✔–ab^m+n
a^m / b^n - ✔✔✔–a/b^m-n
a^0 - ✔✔✔–1
a^1 - ✔✔✔–a
(a^m)^n - ✔✔✔–a^mxn
(a/m)^n - ✔✔✔–a^n/m^n
a^-m - ✔✔✔–1/a^m
a^1/m - ✔✔✔–^m√a
a^m/n - ✔✔✔–(^n√a)^m
3D Pythagoras' theorem - ✔✔✔–a^2 + b^2 + c^2 = d^2
when to use cosine rule - ✔✔✔–2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - ✔✔✔–2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions - ✔✔✔–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 - ✔✔✔–translation in the y-axis (move up or down by the amount of a e.g. +2 =
move up 2)
, GCSE Edexcel Maths Higher final Exam With Questaions Answers (100% Solved)
y=f(x+a) - ✔✔✔–translation in the x-axis (but if it says +2 move down 2 ITS
OPPOSITE!!)
y=f(xa) - ✔✔✔–stretch in the x direction (leaving the y values unchanged) by a factor of
1/a
y=f(x/a) - ✔✔✔–stretch in the x direction (leaving the y values unchanged) by a factor of
a
y=-f(x) - ✔✔✔–reflection in the x-axis
y=f(-x) - ✔✔✔–reflection in the y-axis
∉ - ✔✔✔–not a member of a set
∈ - ✔✔✔–member of a set
ξ - ✔✔✔–universal set (all the numbers in the Q)
∪ - ✔✔✔–union (combination of all members of each set in question)
∩ - ✔✔✔–intersect (all numbers that are members of exclusively both sets in question)
' - ✔✔✔–Everything NOT in the set
√a x √b - ✔✔✔–√a x b
√a / √b - ✔✔✔–√a/b
√a + √b - ✔✔✔–DO NOTHING
a/ √b - ✔✔✔–a/√b x √b/√b = a√b/b
'exact value' meaning - ✔✔✔–surd form
when to use quadratic formula - ✔✔✔–if it won’t factorize
if the question mentions decimal places or significant figures
dividing fractions - ✔✔✔–KEEP TIMES SWITCH- KTS
common denominator is also.... - ✔✔✔–something both denominators divide into
fibonacci sequence - ✔✔✔–adding together the 2 previous terms
