Edexcel A Level Pure Maths Save
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Edexcel A Level Maths Edexcel A Level Maths - Statistics Maths A Level Statistics Ed
129 terms 209 terms 33 terms 21
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Terms in this set (230)
What are the different types of numbers? (Venn
Diagram)
Natural Numbers (N) The set of numbers 1, 2, 3, 4. Also called counting numbers (do not
include zero)
N = {1, 2, 3, ...}
Integers (Z) The set of whole numbers that include zero and negatives
Z⁺, Z⁺₀
Z = {0, ±1, ±2, ±3, ...}
Rational Numbers (Q) Set of all numbers that can be written as fractions; p/q where p and q are
integers (q ≠ 0)
Q = {p/q: p, q ∈ Z, q ≠ 0}
Irrational Numbers Set of all numbers that cannot be written as fractions (e.g, √2 and π)
Real Numbers (R) Set of all numbers that are rational and irrational
P⇒Q P implies Q; if P, then Q
P⇔Q P implies, and is implied by Q; P is equivalent to Q
LHS Left Hand Side
RHS Right Hand Side
Even Numbers 2n
, Odd Numbers 2n-1
Three Consecutive Integers n-1, n, n+1
Multiples of n kn (for some integer k)
Anything Squared... Is always ≥ 0
Perfect Squares ax²+bx+c
a & c must be squares
√a x√c =b/2 then perfect square
(a+b)²=a²+2ab+b²
How to find parameters 1) a(x+p)²+q
2) sub (-p,q) VERTEX
3) when x=0, y=c
4) rearrange to get a
5) Expand 2(x+p)² to equate to b
Quadratics in disguise When one power of x is double the other
E.G. x⁶+7x³-8
u=x³
u²+7u-8
solve
inflection point Between TP
Minimum number: Turning point - 1 (degree - 2)
stationary point a point on the function where the slope (derivative) is zero
degree - 1 (max)
turning point A turning point on a graph is the point on the graph at which the
function changes from increasing to decreasing or vice-versa.
vertex
degree - 1 (max)
stationary inflection point degree-
Even and odd degree even: opens on same side
odd: opens on opposite side
Hyperbola
7 studiers today Leave the first rating
Students also studied
Edexcel A Level Maths Edexcel A Level Maths - Statistics Maths A Level Statistics Ed
129 terms 209 terms 33 terms 21
d_alice_ludd Preview LizardTongue123 Preview aimee_bennett9 Preview
Terms in this set (230)
What are the different types of numbers? (Venn
Diagram)
Natural Numbers (N) The set of numbers 1, 2, 3, 4. Also called counting numbers (do not
include zero)
N = {1, 2, 3, ...}
Integers (Z) The set of whole numbers that include zero and negatives
Z⁺, Z⁺₀
Z = {0, ±1, ±2, ±3, ...}
Rational Numbers (Q) Set of all numbers that can be written as fractions; p/q where p and q are
integers (q ≠ 0)
Q = {p/q: p, q ∈ Z, q ≠ 0}
Irrational Numbers Set of all numbers that cannot be written as fractions (e.g, √2 and π)
Real Numbers (R) Set of all numbers that are rational and irrational
P⇒Q P implies Q; if P, then Q
P⇔Q P implies, and is implied by Q; P is equivalent to Q
LHS Left Hand Side
RHS Right Hand Side
Even Numbers 2n
, Odd Numbers 2n-1
Three Consecutive Integers n-1, n, n+1
Multiples of n kn (for some integer k)
Anything Squared... Is always ≥ 0
Perfect Squares ax²+bx+c
a & c must be squares
√a x√c =b/2 then perfect square
(a+b)²=a²+2ab+b²
How to find parameters 1) a(x+p)²+q
2) sub (-p,q) VERTEX
3) when x=0, y=c
4) rearrange to get a
5) Expand 2(x+p)² to equate to b
Quadratics in disguise When one power of x is double the other
E.G. x⁶+7x³-8
u=x³
u²+7u-8
solve
inflection point Between TP
Minimum number: Turning point - 1 (degree - 2)
stationary point a point on the function where the slope (derivative) is zero
degree - 1 (max)
turning point A turning point on a graph is the point on the graph at which the
function changes from increasing to decreasing or vice-versa.
vertex
degree - 1 (max)
stationary inflection point degree-
Even and odd degree even: opens on same side
odd: opens on opposite side
Hyperbola
