EDEXCEL MATH A LEVEL PURE MATH 1
ACTUAL SCRIPT WITH 100 PERCENT
CORRECT ANSWERS
◉ Distance between two points
Answer: √(x₁-x₂)² + (y₁-y₂)²
◉ equation for midpoint
Answer: (x₁+x₂/2 , y₁+y₂/2)
◉ Equation of a circle
Answer: (x-a)² + (y-b)² = r²
with centre (a,b) and radius r.
◉ What is a tangent?
Answer: A tangent is a line that only touches one point on the
circumference of a circle.
◉ What is a chord?
Answer: A line joining two points on the circumference of a circle,
but not passing through the centre (that is the diameter).
◉ Tangent and chord properties on circles.
, Answer: A tangent to the circle is perpendicular to the radius at
the point of intersection.
The perpendicular bisector of a chord will go through the centre
of a circle.
◉ Factor Theorem
Answer: if f(p)=0 then (x-p) is a factor of f(x).
◉ What is proof by deduction?
Answer: Starting from known facts or definitions, then using
logical steps to reach the desired conclusion.
◉ What is proof by exhaustion?
Answer: Breaking the statement into smaller cases and proving
each case separately.
◉ What is disproof by counter-balance?
Answer: Giving an example that doesn't work for the statement.
◉ Pascal's Triangle
Answer: It is formed by adding adjacent pairs of numbers to find
the numbers of the next row.
The (n+1)th row of Pascal's Triangle gives the coefficients in the
expansion of (a+b)ⁿ.
ACTUAL SCRIPT WITH 100 PERCENT
CORRECT ANSWERS
◉ Distance between two points
Answer: √(x₁-x₂)² + (y₁-y₂)²
◉ equation for midpoint
Answer: (x₁+x₂/2 , y₁+y₂/2)
◉ Equation of a circle
Answer: (x-a)² + (y-b)² = r²
with centre (a,b) and radius r.
◉ What is a tangent?
Answer: A tangent is a line that only touches one point on the
circumference of a circle.
◉ What is a chord?
Answer: A line joining two points on the circumference of a circle,
but not passing through the centre (that is the diameter).
◉ Tangent and chord properties on circles.
, Answer: A tangent to the circle is perpendicular to the radius at
the point of intersection.
The perpendicular bisector of a chord will go through the centre
of a circle.
◉ Factor Theorem
Answer: if f(p)=0 then (x-p) is a factor of f(x).
◉ What is proof by deduction?
Answer: Starting from known facts or definitions, then using
logical steps to reach the desired conclusion.
◉ What is proof by exhaustion?
Answer: Breaking the statement into smaller cases and proving
each case separately.
◉ What is disproof by counter-balance?
Answer: Giving an example that doesn't work for the statement.
◉ Pascal's Triangle
Answer: It is formed by adding adjacent pairs of numbers to find
the numbers of the next row.
The (n+1)th row of Pascal's Triangle gives the coefficients in the
expansion of (a+b)ⁿ.
