Friday 22 May 2026 – Afternoon
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
GCE
*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
Mathematics B MEI
H630/02: Pure Mathematics and Statistics
*
AS Level
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Mark Scheme for June 2026
Booklet. If you need extra space use the lined page at the end of the Printed Answer
Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• You can write on this Question Paper but it will not be sent for marking.
INFORMATION
• The total mark for this paper is 70.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
Cambridge 2026 [603/0991/X] Cambridge is an exempt Charity
DC (ST/SG) 364504/4 Turn over Cambridge
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
^n ! Nh,
Cambridge is a leading UK awarding body, providing a wide range of qualifications to
(a + b) n = a n + n C 1 a n–1 b + n C 2 a n–2 b 2 + ... + n C r a n–r b r + ... + b n
meet the needs of candidates of all ages and abilities. Cambridge qualifications include
JnN
n! AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, Functional Skills,
where n C r = n C r = KK OO =
r
L P r! ^n - rh ! Key Skills, Entry Level qualifications, NVQs and vocational qualifications in areas such as IT,
business, languages, teaching/training, administration and secretarial skills.
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh It is also responsible for developing new specifications to meet national requirements and the
2! r!
needs of students and teachers. Cambridge is a not-for-profit organisation; any surplus
made is invested back into the establishment to help towards the development of qualifications
Differentiation from first principles
and support, which keep pace with the changing needs of today’s society.
f ^x + hh - f (x)
f l (x) = lim This mark scheme is published as an aid to teachers and students, to indicate the requirements
h "0 h
of the examination. It shows the basis on which marks were awarded by examiners. It does not
indicate the details of the discussions which took place at an examiners’ meeting before marking
Sample variance commenced.
1 ^/ xih2
2
s = - 2 2
S where S xx = (xi - x ) = x i -
/ / = / x 2i - nx- 2 All examiners are instructed that alternative correct answers and unexpected approaches in
n - 1 xx n
candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills
Standard deviation, s = variance demonstrated.
Mark schemes should be read in conjunction with the published question papers and the report
The binomial distribution on the examination.
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np Cambridge 2026
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
Cambridge 2026 H630/02 Jun26
Cambridge
, 3 H630/02 Mark Scheme June 2026
1 (a) State the value of n C 0 . [1] Marking Instructions
42!
(b) Write 9!33! in the form n C r . [1]
Preparation For Marking
1. RM Assessor
2 The probability distribution of the discrete random variable X is given in the table. • Access and complete the on-screen marking training packages: Examiner Training (RMA3).
x 0 1 2 3 • Read the mark scheme and question paper for this component or unit.
P (X = x) p 2p 0.1 3p
• The mark scheme and question paper are available in RM Assessor or on your Component Page if you use the Training Platform for standardisation.
(a) Find the value of p. [2] • Log in to RM Assessor and mark the required number of practice scripts and the required number of standardisation scripts.
(b) State the value of P (X = 3) . [1]
Marking
2. General Guidance
3 (a) Find the distance between the points (2, -1) and (-10, 4) . [2]
• Mark strictly to the mark scheme.
(b) Hence state the equation of the circle with centre (2, -1) which passes through the
point (-10, 4) . [2] • Marks awarded must relate directly to the marking criteria.
• If you are in any doubt about applying the mark scheme, consult your Team Leader by phone, email or via the RM Assessor messaging system.
4 The marks obtained in an aptitude test by 15 students are shown in the stem‑and‑leaf diagram. • It is essential that you meet the RM Assessor 50% and 100% batch deadlines. For traditional marking this will be 40% and 100%. If you experience
problems, contact your Team Leader without delay.
1 0
2 3 • Always check the pages (and additional objects if present) at the end of the response in case any answers have been continued there. If the candidate
3 0 2 has continued an answer there, then add the annotation ‘SEEN’ to confirm that the work has been seen and mark any responses using the annotations
4 2 6 9 in Section 11.
5 0 0 1 3 4 8
6 0 0 Key: 4 2 represents a score of 42
• The RM Assessor comments box is used by your Team Leader to explain the marking of the practice responses. Use these comments when checking
(a) Describe the shape of the distribution. [1] your practice responses. Do not use the comments box for any other reason.
(b) Calculate the following. Give your answers to 3 significant figures. 2
(i) The mean of the marks [1]
(ii) The standard deviation of the marks [1]
The median mark in the test is 50.
Explain why the median might be a more appropriate measure of central tendency than the
mean for these marks. [1]
5 Find the coefficient of x 2 in the expansion of (1 + 2x) 100 . [3]
Cambridge 2026 H630/02 Jun26 Turn over
AS Level Mathematics B (MEI)
H630/02 Pure Mathematics and Statistics
Time allowed: 1 hour 30 minutes
GCE
*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
Mathematics B MEI
H630/02: Pure Mathematics and Statistics
*
AS Level
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Mark Scheme for June 2026
Booklet. If you need extra space use the lined page at the end of the Printed Answer
Booklet. The question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be
given for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• You can write on this Question Paper but it will not be sent for marking.
INFORMATION
• The total mark for this paper is 70.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
Cambridge 2026 [603/0991/X] Cambridge is an exempt Charity
DC (ST/SG) 364504/4 Turn over Cambridge
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
^n ! Nh,
Cambridge is a leading UK awarding body, providing a wide range of qualifications to
(a + b) n = a n + n C 1 a n–1 b + n C 2 a n–2 b 2 + ... + n C r a n–r b r + ... + b n
meet the needs of candidates of all ages and abilities. Cambridge qualifications include
JnN
n! AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, Functional Skills,
where n C r = n C r = KK OO =
r
L P r! ^n - rh ! Key Skills, Entry Level qualifications, NVQs and vocational qualifications in areas such as IT,
business, languages, teaching/training, administration and secretarial skills.
n ^n - 1h 2 n ^n - 1h ... ^n - r + 1h r
^1 + xhn = 1 + nx + x + ... + x + ... ^ x 1 1, n ! Rh It is also responsible for developing new specifications to meet national requirements and the
2! r!
needs of students and teachers. Cambridge is a not-for-profit organisation; any surplus
made is invested back into the establishment to help towards the development of qualifications
Differentiation from first principles
and support, which keep pace with the changing needs of today’s society.
f ^x + hh - f (x)
f l (x) = lim This mark scheme is published as an aid to teachers and students, to indicate the requirements
h "0 h
of the examination. It shows the basis on which marks were awarded by examiners. It does not
indicate the details of the discussions which took place at an examiners’ meeting before marking
Sample variance commenced.
1 ^/ xih2
2
s = - 2 2
S where S xx = (xi - x ) = x i -
/ / = / x 2i - nx- 2 All examiners are instructed that alternative correct answers and unexpected approaches in
n - 1 xx n
candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills
Standard deviation, s = variance demonstrated.
Mark schemes should be read in conjunction with the published question papers and the report
The binomial distribution on the examination.
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Mean of X is np Cambridge 2026
Kinematics
Motion in a straight line
v = u + at
1
s = ut + at 2
2
1
s = (u + v) t
2
v 2 = u 2 + 2as
1
s = vt - at 2
2
Cambridge 2026 H630/02 Jun26
Cambridge
, 3 H630/02 Mark Scheme June 2026
1 (a) State the value of n C 0 . [1] Marking Instructions
42!
(b) Write 9!33! in the form n C r . [1]
Preparation For Marking
1. RM Assessor
2 The probability distribution of the discrete random variable X is given in the table. • Access and complete the on-screen marking training packages: Examiner Training (RMA3).
x 0 1 2 3 • Read the mark scheme and question paper for this component or unit.
P (X = x) p 2p 0.1 3p
• The mark scheme and question paper are available in RM Assessor or on your Component Page if you use the Training Platform for standardisation.
(a) Find the value of p. [2] • Log in to RM Assessor and mark the required number of practice scripts and the required number of standardisation scripts.
(b) State the value of P (X = 3) . [1]
Marking
2. General Guidance
3 (a) Find the distance between the points (2, -1) and (-10, 4) . [2]
• Mark strictly to the mark scheme.
(b) Hence state the equation of the circle with centre (2, -1) which passes through the
point (-10, 4) . [2] • Marks awarded must relate directly to the marking criteria.
• If you are in any doubt about applying the mark scheme, consult your Team Leader by phone, email or via the RM Assessor messaging system.
4 The marks obtained in an aptitude test by 15 students are shown in the stem‑and‑leaf diagram. • It is essential that you meet the RM Assessor 50% and 100% batch deadlines. For traditional marking this will be 40% and 100%. If you experience
problems, contact your Team Leader without delay.
1 0
2 3 • Always check the pages (and additional objects if present) at the end of the response in case any answers have been continued there. If the candidate
3 0 2 has continued an answer there, then add the annotation ‘SEEN’ to confirm that the work has been seen and mark any responses using the annotations
4 2 6 9 in Section 11.
5 0 0 1 3 4 8
6 0 0 Key: 4 2 represents a score of 42
• The RM Assessor comments box is used by your Team Leader to explain the marking of the practice responses. Use these comments when checking
(a) Describe the shape of the distribution. [1] your practice responses. Do not use the comments box for any other reason.
(b) Calculate the following. Give your answers to 3 significant figures. 2
(i) The mean of the marks [1]
(ii) The standard deviation of the marks [1]
The median mark in the test is 50.
Explain why the median might be a more appropriate measure of central tendency than the
mean for these marks. [1]
5 Find the coefficient of x 2 in the expansion of (1 + 2x) 100 . [3]
Cambridge 2026 H630/02 Jun26 Turn over
