A LEVEL MATHS AQA EXAM
QUESTIONS WITH CORRECT ANSWERS
2025
Straight yyline yyequation yyformula yy- yyANSWER: yyy-y1 yy= yym(x-x1)
Perpendicular yystraight yylines yy- yyANSWER: yym1 yyx yym2 yy= yy-1
Log(a)b=c yy- yyANSWER: yya^c=b
Log(10)x yy+ yyLog(10)y yy= yy- yyANSWER: yyLog(10)xy
Log(10)x yy- yyLog(10)y yy= yy- yyANSWER: yyLog(10)x/y
kLog(10)x yy= yy- yyANSWER: yyLog(10)x^k
Displacement yydy/dx yy= yy- yyANSWER: yyVelocity
Velocity yydy/dx yy= yy- yyANSWER: yyAcceleration
Cos^2A yy+ yySin^2A= yy- yyANSWER: yy1
1 yy+ yyTan^2A yy= yy- yyANSWER: yySec^2A
1 yy+ yyCot^2A yy= yy- yyANSWER: yyCosec^2A
2SinAcosA yy= yy- yyANSWER: yySin2A
Cos^2A yy- yySin^2A yy= yy- yyANSWER: yyCos2A
(2tanA)/(1-tan^2A) yy= yy- yyANSWER: yyTan2A
A^x yyA^y yy= yy- yyANSWER: yyA^xy
A^x yy/ yyA^y yy= yy- yyANSWER: yyA^x-y
(A^x)^y yy- yyANSWER: yya^xy
Arc yyLength yy(radians) yy= yy- yyANSWER: yyrθ
, Sector yyArea yy(radians) yy= yy- yyANSWER: yy1/2 yyr^2 yyθ
x^n yydy/dx yy= yy- yyANSWER: yynx^(n-1)
Sinkx yydy/dx yy= yy- yyANSWER: yykCoskx
Coskx yydy/dx yy= yy- yyANSWER: yy-kSinkx
e^(kx) yydy/dx yy= yy- yyANSWER: yyke^(kx)
lnx yydy/dx yy= yy- yyANSWER: yy1/x
f(x)+g(x) yydy/dx yy= yy- yyANSWER: yyf'(x)+g'(x)
f(x)g(x) yydy/dx yy= yy- yyANSWER: yyf'(x)g(x) yy+ yyf(x)g'(x)
f(g(x)) yydy/dx yy= yy- yyANSWER: yyf'(g(x))g'(x)
∫x^n yy= yy- yyANSWER: yy(x^(n+1))/(n+1) yy+c
∫Coskx yy= yy- yyANSWER: yy1/k yySinkx yy+c
∫Sinkx yy= yy- yyANSWER: yy-1/k yyCoskx yy+c
∫e^(kx) yy= yy- yyANSWER: yy1/k yye^(kx) yy+c
∫1/x yy= yy- yyANSWER: yyln yy|x| yy+c
∫f'(x)+g'(x) yy= yy- yyANSWER: yyf(x)+g(x) yy+c
∫f'(g(x))g'(x) yy= yy- yyANSWER: yyf(g(x)) yy+c
Weight yy= yy- yyANSWER: yyMass yyx yyg
Force yy= yy- yyANSWER: yyMass yyx yyAcceleration
Midpoint yyof yya yyline yy- yyANSWER: yy(X1+X2)/2 yy, yy(y1+y2)/2
Length yyof yya yystraight yyline yy- yyANSWER: yy√(x2-x1)^2+(y2-y1)^2
Gradient yyof yya yyline yy- yyANSWER: yyChange yyin yyy/Change yyin yyx
Equation yyof yya yycircle yy- yyANSWER: yy(x-a)^2 yy+ yy(y-b)^2 yy= yyr^2 yy, yyCentre yy(a,b) yy&
yyRadius yyis yyr
Area yyof yya yytriangle yy- yyANSWER: yy1/2 yybase yyx yyheight
QUESTIONS WITH CORRECT ANSWERS
2025
Straight yyline yyequation yyformula yy- yyANSWER: yyy-y1 yy= yym(x-x1)
Perpendicular yystraight yylines yy- yyANSWER: yym1 yyx yym2 yy= yy-1
Log(a)b=c yy- yyANSWER: yya^c=b
Log(10)x yy+ yyLog(10)y yy= yy- yyANSWER: yyLog(10)xy
Log(10)x yy- yyLog(10)y yy= yy- yyANSWER: yyLog(10)x/y
kLog(10)x yy= yy- yyANSWER: yyLog(10)x^k
Displacement yydy/dx yy= yy- yyANSWER: yyVelocity
Velocity yydy/dx yy= yy- yyANSWER: yyAcceleration
Cos^2A yy+ yySin^2A= yy- yyANSWER: yy1
1 yy+ yyTan^2A yy= yy- yyANSWER: yySec^2A
1 yy+ yyCot^2A yy= yy- yyANSWER: yyCosec^2A
2SinAcosA yy= yy- yyANSWER: yySin2A
Cos^2A yy- yySin^2A yy= yy- yyANSWER: yyCos2A
(2tanA)/(1-tan^2A) yy= yy- yyANSWER: yyTan2A
A^x yyA^y yy= yy- yyANSWER: yyA^xy
A^x yy/ yyA^y yy= yy- yyANSWER: yyA^x-y
(A^x)^y yy- yyANSWER: yya^xy
Arc yyLength yy(radians) yy= yy- yyANSWER: yyrθ
, Sector yyArea yy(radians) yy= yy- yyANSWER: yy1/2 yyr^2 yyθ
x^n yydy/dx yy= yy- yyANSWER: yynx^(n-1)
Sinkx yydy/dx yy= yy- yyANSWER: yykCoskx
Coskx yydy/dx yy= yy- yyANSWER: yy-kSinkx
e^(kx) yydy/dx yy= yy- yyANSWER: yyke^(kx)
lnx yydy/dx yy= yy- yyANSWER: yy1/x
f(x)+g(x) yydy/dx yy= yy- yyANSWER: yyf'(x)+g'(x)
f(x)g(x) yydy/dx yy= yy- yyANSWER: yyf'(x)g(x) yy+ yyf(x)g'(x)
f(g(x)) yydy/dx yy= yy- yyANSWER: yyf'(g(x))g'(x)
∫x^n yy= yy- yyANSWER: yy(x^(n+1))/(n+1) yy+c
∫Coskx yy= yy- yyANSWER: yy1/k yySinkx yy+c
∫Sinkx yy= yy- yyANSWER: yy-1/k yyCoskx yy+c
∫e^(kx) yy= yy- yyANSWER: yy1/k yye^(kx) yy+c
∫1/x yy= yy- yyANSWER: yyln yy|x| yy+c
∫f'(x)+g'(x) yy= yy- yyANSWER: yyf(x)+g(x) yy+c
∫f'(g(x))g'(x) yy= yy- yyANSWER: yyf(g(x)) yy+c
Weight yy= yy- yyANSWER: yyMass yyx yyg
Force yy= yy- yyANSWER: yyMass yyx yyAcceleration
Midpoint yyof yya yyline yy- yyANSWER: yy(X1+X2)/2 yy, yy(y1+y2)/2
Length yyof yya yystraight yyline yy- yyANSWER: yy√(x2-x1)^2+(y2-y1)^2
Gradient yyof yya yyline yy- yyANSWER: yyChange yyin yyy/Change yyin yyx
Equation yyof yya yycircle yy- yyANSWER: yy(x-a)^2 yy+ yy(y-b)^2 yy= yyr^2 yy, yyCentre yy(a,b) yy&
yyRadius yyis yyr
Area yyof yya yytriangle yy- yyANSWER: yy1/2 yybase yyx yyheight
