Edexcel A Level Pure Maths Exam
Questions and Answers 2024 Review
100% Pass
Differentiate tan(kx) - Answer>>ksec^2(kx)
Differentiate cos(kx) - Answer>>-ksin(kx)
Differentiate sin(kx) - Answer>>kcos(kx)
Arithmetic sequence - Answer>>Un = a + (n - 1)d
Arithmetic series - Answer>>Sn = n/2 (a + d)
Geometric sequences - Answer>>Un = ar^n - 1
Geometric series - Answer>>Sn = a(r^n - 1) / r - 1
Sum to infinity - Answer>>a/1 - r
Convergent series - Answer>>Sn closer to 0
Divergent series - Answer>>Sn further away from 0
Sigma notation - Answer>>
Recurrence relationship - Answer>>Defines each term as
function of last
Un + 1 = f(Un)
Increasing recurrence relationship - Answer>>Un + 1 > Un
Decreasing recurrence relationship - Answer>>Un + 1 < Un
, Radians: Arc Length - Answer>>l = r*degree
pi radians - Answer>>180 degrees
Radians: Area sector - Answer>>1/2r^2*degree
Radians: Area triangle - Answer>>1/2r^2(degree-sin(degree))
Small angle approximation sin(x) - Answer>>x
Small angle approximation cos(x) - Answer>>1 - ((x^2)/2)
Small angle approximation tan(x) - Answer>>x
Binomial expanding (1+x)^n - Answer>>1 + nx + (n(n-1)/2!)x^2
+ (n(n-1)(n-2)/3!)x^3 + ...
Expansion valid range - Answer>>|x|<1
For |bx|<1 |x|<1/|b|
Binomial expanding (a+bx)^n - Answer>>a^n * (1+(b/a)x)^n
Expand as would (1+x)^n then multiply by a^n
sec(x) - Answer>>1/cos(x)
cosec(x) - Answer>>1/sin(x)
cot(x) - Answer>>1/tan(x)
cot(x) in terms of sin(x) and cos(x) - Answer>>cosx/sinx
Questions and Answers 2024 Review
100% Pass
Differentiate tan(kx) - Answer>>ksec^2(kx)
Differentiate cos(kx) - Answer>>-ksin(kx)
Differentiate sin(kx) - Answer>>kcos(kx)
Arithmetic sequence - Answer>>Un = a + (n - 1)d
Arithmetic series - Answer>>Sn = n/2 (a + d)
Geometric sequences - Answer>>Un = ar^n - 1
Geometric series - Answer>>Sn = a(r^n - 1) / r - 1
Sum to infinity - Answer>>a/1 - r
Convergent series - Answer>>Sn closer to 0
Divergent series - Answer>>Sn further away from 0
Sigma notation - Answer>>
Recurrence relationship - Answer>>Defines each term as
function of last
Un + 1 = f(Un)
Increasing recurrence relationship - Answer>>Un + 1 > Un
Decreasing recurrence relationship - Answer>>Un + 1 < Un
, Radians: Arc Length - Answer>>l = r*degree
pi radians - Answer>>180 degrees
Radians: Area sector - Answer>>1/2r^2*degree
Radians: Area triangle - Answer>>1/2r^2(degree-sin(degree))
Small angle approximation sin(x) - Answer>>x
Small angle approximation cos(x) - Answer>>1 - ((x^2)/2)
Small angle approximation tan(x) - Answer>>x
Binomial expanding (1+x)^n - Answer>>1 + nx + (n(n-1)/2!)x^2
+ (n(n-1)(n-2)/3!)x^3 + ...
Expansion valid range - Answer>>|x|<1
For |bx|<1 |x|<1/|b|
Binomial expanding (a+bx)^n - Answer>>a^n * (1+(b/a)x)^n
Expand as would (1+x)^n then multiply by a^n
sec(x) - Answer>>1/cos(x)
cosec(x) - Answer>>1/sin(x)
cot(x) - Answer>>1/tan(x)
cot(x) in terms of sin(x) and cos(x) - Answer>>cosx/sinx
