Edexcel A-Level Pure Mathematics June
2024 Exam Questions and Answers
100% Pass
Contradiction - Answer>>A contradiction is a disagreement
between two statements, which means that both cannot be true.
Proof by contradiction is a powerful technique.
Proof by contradiction - Answer>>To prove a statement by
contradiction you start by assuming it is not true. You then use
logical steps to show that this assumption leads to something
impossible (either a contradiction of the assumption, or a
contradiction of a fact you know to be true). You can conclude
that your assumption was incorrect and the original statement
was true.
A rational number can be written as - Answer>>a/b, where a
and b are integers.
An irrational number cannot be expressed in - Answer>>the
form a/b, where a and b are integers.
To multiply fractions - Answer>>cancel any common factors,
then multiply the numerators and multiply the denominators.
To divide two fractions - Answer>>multiply the first fraction by
the reciprocal of the second fraction.
To add or subtract two fractions, - Answer>>find a common
denominator.
Splitting a fraction into partial fractions - Answer>>A single
fraction with two distinct linear factors in the denominator can be
split into two separate fractions with linear denominators.
,Two methods to find the constants of partial fractions -
Answer>>substitution and equating coefficients.
The method of partial fractions ca also be used when -
Answer>>there are more than two distinct linear factors in the
denominator.
A single fraction with a repeated linear factor in the denominator
can - Answer>>be split into two or more separate fractions.
Improper algebraic fraction - Answer>>One whose numerator
has a degree equal to or larger than the denominator.
An improper fraction must ... before you can express it in partial
fractions - Answer>>be converted to a mixed fraction.
To connect an improper fraction into a mixed fraction you can
either use: - Answer>>- algebraic division
- or the relationship F(x) = Q(x) x divisor + remainder
Degree of a polynomial - Answer>>the largest exponent in the
expression
You can measure angles in units called - Answer>>radians
2⫪ radians = - Answer>>360⁰
⫪ radians = - Answer>>180⁰
1 radian = - Answer>>180⁰/⫪
30⁰ = - Answer>>⫪/6 radians
, 45⁰ = - Answer>>⫪/4 radians
60⁰ = - Answer>>⫪/3 radians
90⁰ = - Answer>>⫪/2 radians
180⁰ = - Answer>>⫪ radians
360⁰ = - Answer>>2⫪ radians
sin(⫪/6) = - Answer>>1/2
sin(⫪/3) = - Answer>>√3/2
sin(⫪/4) = - Answer>>1/√2 = √2/2
cos(⫪/6) = - Answer>>√3/2
cos(⫪/3) = - Answer>>1/2
cos(⫪/4) = - Answer>>1/√2 = √2/2
tan(⫪/6) = - Answer>>1/√3 = √3/3
tan(⫪/3) = - Answer>>√3
tan(⫪/4) = - Answer>>1
sin(⫪ - θ) = - Answer>>sinθ
sin(⫪ + θ) = - Answer>>-sinθ
sin(2⫪ - θ) = - Answer>>-sinθ
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