Oxford Cambridge and RSA
0CR AS Level Further Mathematics A (H235)
Combined QP & MS
Formulae Booklet
*3427761122*
20
AS Level Further Mathematics A
INSTRUCTIONS
• Do not send this Booklet for marking. Keep it in the centre or recycle it.
INFORMATION
• This document has 8 pages.
Copyright Information
OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright
holders whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in
the OCR Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download from our public website (www.ocr.org.uk)
after the live examination series.
If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest
possible opportunity.
For queries or further information please contact The OCR Copyright Team, The Triangle Building, Shaftesbury Road, Cambridge CB2 8EA.
OCR is part of Cambridge University Press & Assessment, which is itself a department of the University of Cambridge.
© OCR 2025 [603/1329/8]
DC (ST) 358156 Further Mathematics A CST321
, 2
Pure Mathematics
Binomial series
(a + b) n = an + n C1JaNn-1b + n C2 a n-2b2 +f+ n Cr a n-rbr +f+ bn (n e N),
n n n!
where Cr = n Cr = K O = r! (n - r)!
r
LP
Matrix transformations
J 0 !1N
Reflection in the line y = !x: K
!1 0O
L P
Jcos i -sin iN
Anticlockwise rotation through i about O : K
sin i cos i O
L P
Rotations through i about the coordinate axes. The direction of positive rotation is taken to be anticlockwise
when looking towards the origin from the positive side of the axis of rotation.
1 0 0
Rx = > 0 cos i -sin i H
0 sin i cos i
cos i 0 sin i
Ry = > 0 1 0 H
-sin i 0 cos i
cos i -sin i 0
Rz = > sin i cos i 0 H
0 0 1
Differentiation from first principles
f(x + h) - f (x)
f l(x) = lim
h"0 h
Complex numbers
Circles: z - a = k
Half lines: arg (z - a) = a
Lines: z - a = z - b
© OCR 2025 Further Mathematics A
0CR AS Level Further Mathematics A (H235)
Combined QP & MS
Formulae Booklet
*3427761122*
20
AS Level Further Mathematics A
INSTRUCTIONS
• Do not send this Booklet for marking. Keep it in the centre or recycle it.
INFORMATION
• This document has 8 pages.
Copyright Information
OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright
holders whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in
the OCR Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download from our public website (www.ocr.org.uk)
after the live examination series.
If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest
possible opportunity.
For queries or further information please contact The OCR Copyright Team, The Triangle Building, Shaftesbury Road, Cambridge CB2 8EA.
OCR is part of Cambridge University Press & Assessment, which is itself a department of the University of Cambridge.
© OCR 2025 [603/1329/8]
DC (ST) 358156 Further Mathematics A CST321
, 2
Pure Mathematics
Binomial series
(a + b) n = an + n C1JaNn-1b + n C2 a n-2b2 +f+ n Cr a n-rbr +f+ bn (n e N),
n n n!
where Cr = n Cr = K O = r! (n - r)!
r
LP
Matrix transformations
J 0 !1N
Reflection in the line y = !x: K
!1 0O
L P
Jcos i -sin iN
Anticlockwise rotation through i about O : K
sin i cos i O
L P
Rotations through i about the coordinate axes. The direction of positive rotation is taken to be anticlockwise
when looking towards the origin from the positive side of the axis of rotation.
1 0 0
Rx = > 0 cos i -sin i H
0 sin i cos i
cos i 0 sin i
Ry = > 0 1 0 H
-sin i 0 cos i
cos i -sin i 0
Rz = > sin i cos i 0 H
0 0 1
Differentiation from first principles
f(x + h) - f (x)
f l(x) = lim
h"0 h
Complex numbers
Circles: z - a = k
Half lines: arg (z - a) = a
Lines: z - a = z - b
© OCR 2025 Further Mathematics A
