Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths
As level Questions And Answers 2025\2026
Quadratic Formula - CORRECT ANSWER-
Domain - CORRECT ANSWER-The set of possible inputs for a function.
Range - CORRECT ANSWER-The set of possible outputs of a function.
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.
Types of Lines for Regions - CORRECT ANSWER-If y < f(x) or y > f(x) then
the curve y = f(x) is not included in the region, and is represented by a
dotted line.
,If y ≤ f(x) or y ≥ f(x) then the curve y = f(x) is included in the region, and
is represented by a solid line.
Graph Translations - CORRECT ANSWER-y = f(x) + a is a translation of the
graph y = f(x) by a upwards.
y = f(x + a) is a translation of the graph y = f(x) by a to the left.
Graph Stretches - CORRECT ANSWER-y = af(x) is a stretch of the graph y
= f(x) by a scale factor of a in the vertical direction.
y = f(ax) is a stretch of the graph y = f(x) by a scale factor of 1/a in the
horizontal direction.
Graph Reflections - CORRECT ANSWER-y = -f(x) is a reflection of the
graph of y = f(x) in the x-axis.
y = f(-x) is a reflection of the graph of y = f(x) in the y-axis.
Gradient of Equation - CORRECT ANSWER-m = (y₂ - y₁) ÷ (x₂ - x₁)
Equation of a Line - CORRECT ANSWER-y - y₁ = m(x - x₁)
, with coords (x₁, y₁)
Distance Formula - CORRECT ANSWER-√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Perpendicular Bisector - CORRECT ANSWER--1/m
where m is original gradient
Standard 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
with centre (-f, -g) and radius √(f² + g² - c)
Circle Theorems - CORRECT ANSWER-• Tangent to a circle is
perpendicular to the radius of the circle at the point of intersection.
As level Questions And Answers 2025\2026
Quadratic Formula - CORRECT ANSWER-
Domain - CORRECT ANSWER-The set of possible inputs for a function.
Range - CORRECT ANSWER-The set of possible outputs of a function.
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.
Types of Lines for Regions - CORRECT ANSWER-If y < f(x) or y > f(x) then
the curve y = f(x) is not included in the region, and is represented by a
dotted line.
,If y ≤ f(x) or y ≥ f(x) then the curve y = f(x) is included in the region, and
is represented by a solid line.
Graph Translations - CORRECT ANSWER-y = f(x) + a is a translation of the
graph y = f(x) by a upwards.
y = f(x + a) is a translation of the graph y = f(x) by a to the left.
Graph Stretches - CORRECT ANSWER-y = af(x) is a stretch of the graph y
= f(x) by a scale factor of a in the vertical direction.
y = f(ax) is a stretch of the graph y = f(x) by a scale factor of 1/a in the
horizontal direction.
Graph Reflections - CORRECT ANSWER-y = -f(x) is a reflection of the
graph of y = f(x) in the x-axis.
y = f(-x) is a reflection of the graph of y = f(x) in the y-axis.
Gradient of Equation - CORRECT ANSWER-m = (y₂ - y₁) ÷ (x₂ - x₁)
Equation of a Line - CORRECT ANSWER-y - y₁ = m(x - x₁)
, with coords (x₁, y₁)
Distance Formula - CORRECT ANSWER-√((x₂ - x₁)² + (y₂ - y₁)²)
from (x₁, y₁) to (x₂, y₂)
Perpendicular Bisector - CORRECT ANSWER--1/m
where m is original gradient
Standard 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
with centre (-f, -g) and radius √(f² + g² - c)
Circle Theorems - CORRECT ANSWER-• Tangent to a circle is
perpendicular to the radius of the circle at the point of intersection.
