EDEXCEL MATHS A LEVEL PURE MATHS 1
ASSESSMENT SCRIPT 2026 VERIFIED
ANSWERS COMPREHENSIVE REVIEW
◉ Perpendicular Bisector.
Answer: -1/m
where m is original gradient
◉ Standard Equation of a Circle.
Answer: (x - a)² + (y - b)² = r²
with centre (a, b) and radius r
◉ Equation of a Circle (fg).
Answer: x² + y² + 2fx + 2gy + c = 0
with centre (-f, -g) and radius √(f² + g² - c)
◉ Circle Theorems.
,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.
◉ Cosine Rule (a²).
Answer:
◉ Cosine Rule (cos(A)).
Answer:
◉ Sine Rule.
Answer:
◉ Sine Graph.
Answer:
◉ Cosine Graph.
Answer:
, ◉ Tangent Graph.
Answer:
◉ Trigonometry.
Answer:
◉ First Derivative Formula.
Answer:
◉ Differentiation Formula.
Answer: dy/dx = anxⁿ⁻¹
◉ Function's Gradient.
Answer: Increasing on the interval [a, b] if f'(x) ≥ 0 for all values of a
< x < b.
Decreasing on the interval [a, b] if
f'(x) ≤ 0 for all values of a < x < b.
◉ Stationary Point.
Answer: Any point on the curve y = f(x) where f'(x) = 0.
ASSESSMENT SCRIPT 2026 VERIFIED
ANSWERS COMPREHENSIVE REVIEW
◉ Perpendicular Bisector.
Answer: -1/m
where m is original gradient
◉ Standard Equation of a Circle.
Answer: (x - a)² + (y - b)² = r²
with centre (a, b) and radius r
◉ Equation of a Circle (fg).
Answer: x² + y² + 2fx + 2gy + c = 0
with centre (-f, -g) and radius √(f² + g² - c)
◉ Circle Theorems.
,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.
◉ Cosine Rule (a²).
Answer:
◉ Cosine Rule (cos(A)).
Answer:
◉ Sine Rule.
Answer:
◉ Sine Graph.
Answer:
◉ Cosine Graph.
Answer:
, ◉ Tangent Graph.
Answer:
◉ Trigonometry.
Answer:
◉ First Derivative Formula.
Answer:
◉ Differentiation Formula.
Answer: dy/dx = anxⁿ⁻¹
◉ Function's Gradient.
Answer: Increasing on the interval [a, b] if f'(x) ≥ 0 for all values of a
< x < b.
Decreasing on the interval [a, b] if
f'(x) ≤ 0 for all values of a < x < b.
◉ Stationary Point.
Answer: Any point on the curve y = f(x) where f'(x) = 0.
