Edexcel Pure Maths | Verified Question and Answers| Graded
A+
a unit vector in the direction of a is - Correct Answer ✅💯a/|a|
area of a trapezoid - Correct Answer ✅💯A=a+b/2xh
Area of a Triangle - Correct Answer ✅💯½ x ab x sin(C)
Area of a triangle with two sides and angle in between - Correct Answer
✅💯area = ½absinC
Binomial expansion - Correct Answer ✅💯
Binomial Expansion - Correct Answer ✅💯(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
Brackets - rules of indices - Correct Answer ✅💯(a⁴)² = a⁸
multiply the powers
CAST Diagram - Correct Answer ✅💯
Circle Theorems - Correct Answer ✅💯• Tangent to a circle is perpendicular to
the radius of the circle at the point of intersection.
• Perpendicular bisector of a chord will go through the circle centre.
• If triangle forms across the circle, its diameter is the hypotenuse of the right-
angled triangle.
• Equations of the perpendicular bisectors of two different chords will intersect
at the circle centre.
completing the square - Correct Answer ✅💯x² + bx = (x+b/2)² - (b/2)²
ax² + bx + c = a(x + b/2a)² + (c - b²/4a²)
Cosine Graph - Correct Answer ✅💯
Cosine Rule (a²) - Correct Answer ✅💯
Cosine Rule (cos(A)) - Correct Answer ✅💯
Derivative or gradient function equation - Correct Answer ✅💯Where h
represents a small change.
, Differentiating a quadratic - Correct Answer ✅💯If y = ax² + bx + c
then dy/dx = 2ax + b
Differentiating eˣ - Correct Answer ✅💯y = eᵏˣ → dy/dx = keᵏˣ
Differentiating x^n - Correct Answer ✅💯If f(x) = xⁿ then f'(x) = nxⁿ⁻¹
If f(x) = axⁿ then f'(x) = anxⁿ⁻¹
Differentiation Formula - Correct Answer ✅💯dy/dx = anxⁿ⁻¹
Discriminant - Correct Answer ✅💯b² - 4ac > 0 then two distinct real roots.
b² - 4ac = 0 then one repeated real root.
b² - 4ac < 0 then a quadratic function has no real roots.
Distance between two points - Correct Answer ✅💯√(x₁-x₂)² + (y₁-y₂)²
Distance between two points - Correct Answer ✅💯d = √(x₁-x₂)² + (y₁-y₂)²
Distance Formula - Correct Answer ✅💯√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Dividing - rules of indices - Correct Answer ✅💯a⁶ ÷ a² = a⁴
minus the powers
Dividing surds - Correct Answer ✅💯√a ÷ √b = √a/b
division law of logs - Correct Answer ✅💯logax-logay=loga(x/y)
Domain - Correct Answer ✅💯The set of possible inputs for a function.
equation for midpoint - Correct Answer ✅💯(x₁+x₂/2 , y₁+y₂/2)
equation of a circle - Correct Answer ✅💯(x-a)^2 + (y-b)^2 = r^2
Equation of a circle - Correct Answer ✅💯(x-a)² + (y-b)² = r²
with centre (a,b) and radius r.
Equation of a Circle (fg) - Correct Answer ✅💯x² + y² + 2fx + 2gy + c = 0
A+
a unit vector in the direction of a is - Correct Answer ✅💯a/|a|
area of a trapezoid - Correct Answer ✅💯A=a+b/2xh
Area of a Triangle - Correct Answer ✅💯½ x ab x sin(C)
Area of a triangle with two sides and angle in between - Correct Answer
✅💯area = ½absinC
Binomial expansion - Correct Answer ✅💯
Binomial Expansion - Correct Answer ✅💯(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
Brackets - rules of indices - Correct Answer ✅💯(a⁴)² = a⁸
multiply the powers
CAST Diagram - Correct Answer ✅💯
Circle Theorems - Correct Answer ✅💯• Tangent to a circle is perpendicular to
the radius of the circle at the point of intersection.
• Perpendicular bisector of a chord will go through the circle centre.
• If triangle forms across the circle, its diameter is the hypotenuse of the right-
angled triangle.
• Equations of the perpendicular bisectors of two different chords will intersect
at the circle centre.
completing the square - Correct Answer ✅💯x² + bx = (x+b/2)² - (b/2)²
ax² + bx + c = a(x + b/2a)² + (c - b²/4a²)
Cosine Graph - Correct Answer ✅💯
Cosine Rule (a²) - Correct Answer ✅💯
Cosine Rule (cos(A)) - Correct Answer ✅💯
Derivative or gradient function equation - Correct Answer ✅💯Where h
represents a small change.
, Differentiating a quadratic - Correct Answer ✅💯If y = ax² + bx + c
then dy/dx = 2ax + b
Differentiating eˣ - Correct Answer ✅💯y = eᵏˣ → dy/dx = keᵏˣ
Differentiating x^n - Correct Answer ✅💯If f(x) = xⁿ then f'(x) = nxⁿ⁻¹
If f(x) = axⁿ then f'(x) = anxⁿ⁻¹
Differentiation Formula - Correct Answer ✅💯dy/dx = anxⁿ⁻¹
Discriminant - Correct Answer ✅💯b² - 4ac > 0 then two distinct real roots.
b² - 4ac = 0 then one repeated real root.
b² - 4ac < 0 then a quadratic function has no real roots.
Distance between two points - Correct Answer ✅💯√(x₁-x₂)² + (y₁-y₂)²
Distance between two points - Correct Answer ✅💯d = √(x₁-x₂)² + (y₁-y₂)²
Distance Formula - Correct Answer ✅💯√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Dividing - rules of indices - Correct Answer ✅💯a⁶ ÷ a² = a⁴
minus the powers
Dividing surds - Correct Answer ✅💯√a ÷ √b = √a/b
division law of logs - Correct Answer ✅💯logax-logay=loga(x/y)
Domain - Correct Answer ✅💯The set of possible inputs for a function.
equation for midpoint - Correct Answer ✅💯(x₁+x₂/2 , y₁+y₂/2)
equation of a circle - Correct Answer ✅💯(x-a)^2 + (y-b)^2 = r^2
Equation of a circle - Correct Answer ✅💯(x-a)² + (y-b)² = r²
with centre (a,b) and radius r.
Equation of a Circle (fg) - Correct Answer ✅💯x² + y² + 2fx + 2gy + c = 0
