Thursday 14 May 2026 – Afternoon
AS Level Mathematics B (MEI)
H630/01 Pure Mathematics and Mechanics
Time allowed: 1 hour 30 minutes
GCE
*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
Mathematics B MEI
H630/01: Pure Mathematics and Mechanics
*
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 pages 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.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value is
needed use g = 9.8 unless a different value is specified in the question.
• 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/TC) 365316/3 Turn over Cambridge
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
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 ^n ! Nh, meet the needs of candidates of all ages and abilities. Cambridge qualifications include
JnN AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, Functional Skills,
n!
where n C r = n C r = KK OO =
Lr 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 All examiners are instructed that alternative correct answers and unexpected approaches in
2
s = 2 2
S xx where S xx = / (xi - x ) = / x i -
-
= / x 2i - nx- 2
n-1 n candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills
demonstrated.
Standard deviation, s = variance
Mark schemes should be read in conjunction with the published question papers and the report
on the examination.
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Cambridge 2026
Mean of X is np
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 H630/01 Jun26
Cambridge
, 3 H630/01 Mark Scheme June 2026
Marking Instructions
2 a+b k
1 Given that k is an integer, express the fraction in the form where a, b, c and d are
3+ k c + dk
integers to be determined. [2]
Preparation For Marking
1. RM Assessor
• Access and complete the on-screen marking training packages: Examiner Training (RMA3).
2
2 The displacement s metres of a particle at time t seconds is given by s = 0.75t - 8t .
• Read the mark scheme and question paper for this component or unit.
Find an expression for the velocity of the particle in terms of t. [2]
• The mark scheme and question paper are available in RM Assessor or on your Component Page if you use the Training Platform for standardisation.
• Log in to RM Assessor and mark the required number of practice scripts and the required number of standardisation scripts.
The point A has position vector OA = c 1 m and the point B has position vector OB = c 6 m.
7 2
3
Marking
(a) Find the magnitude and direction of OA. [3]
2. General Guidance
(b) Show that the triangle OAB is isosceles. [2]
• Mark strictly to the mark scheme.
• Marks awarded must relate directly to the marking criteria.
4 In this question the i direction is horizontal and the j direction is vertically upwards. • 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.
A particle of mass 4 kg is in equilibrium under the action of its weight and two forces • 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
F1 = (12i + 17j) N and F2 . problems, contact your Team Leader without delay.
Determine F2 . Give your answer in vector form. [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
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
in Section 11.
5 (a) An object is dropped from rest and falls s m to the ground.
Find an expression for the time taken to reach the ground in terms of s and g. [2] 2
(b) In Singapore the value of g has been measured as 9.7806 m s –2 and in Oslo as 9.825 m s –2 .
An object is dropped from rest so that it falls 30 m to the ground in each city.
Determine the difference between the time the object takes to reach the ground in Oslo and in
Singapore. Give your answer correct to 3 significant figures. [2]
6 (a) A student makes a conjecture that (n - 1) n (n + 1) is always a multiple of 12 when n is a
positive integer and n 2 1.
Use a counter example to show that this conjecture is false. [2]
(b) Show that (n - 1) n (n + 1) is always a multiple of 6 when n is a positive integer and n 2 1.
[3]
Cambridge 2026 H630/01 Jun26 Turn over
AS Level Mathematics B (MEI)
H630/01 Pure Mathematics and Mechanics
Time allowed: 1 hour 30 minutes
GCE
*
You must have:
• the Printed Answer Booklet
• a scientific or graphical calculator
QP
Mathematics B MEI
H630/01: Pure Mathematics and Mechanics
*
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 pages 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.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value is
needed use g = 9.8 unless a different value is specified in the question.
• 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/TC) 365316/3 Turn over Cambridge
, 2
Formulae AS Level Mathematics B (MEI) (H630)
Binomial series
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 ^n ! Nh, meet the needs of candidates of all ages and abilities. Cambridge qualifications include
JnN AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, Functional Skills,
n!
where n C r = n C r = KK OO =
Lr 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 All examiners are instructed that alternative correct answers and unexpected approaches in
2
s = 2 2
S xx where S xx = / (xi - x ) = / x i -
-
= / x 2i - nx- 2
n-1 n candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills
demonstrated.
Standard deviation, s = variance
Mark schemes should be read in conjunction with the published question papers and the report
on the examination.
The binomial distribution
If X + B ^n, ph then P (X = r) = n Cr p r q n - r where q = 1 - p
Cambridge 2026
Mean of X is np
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 H630/01 Jun26
Cambridge
, 3 H630/01 Mark Scheme June 2026
Marking Instructions
2 a+b k
1 Given that k is an integer, express the fraction in the form where a, b, c and d are
3+ k c + dk
integers to be determined. [2]
Preparation For Marking
1. RM Assessor
• Access and complete the on-screen marking training packages: Examiner Training (RMA3).
2
2 The displacement s metres of a particle at time t seconds is given by s = 0.75t - 8t .
• Read the mark scheme and question paper for this component or unit.
Find an expression for the velocity of the particle in terms of t. [2]
• The mark scheme and question paper are available in RM Assessor or on your Component Page if you use the Training Platform for standardisation.
• Log in to RM Assessor and mark the required number of practice scripts and the required number of standardisation scripts.
The point A has position vector OA = c 1 m and the point B has position vector OB = c 6 m.
7 2
3
Marking
(a) Find the magnitude and direction of OA. [3]
2. General Guidance
(b) Show that the triangle OAB is isosceles. [2]
• Mark strictly to the mark scheme.
• Marks awarded must relate directly to the marking criteria.
4 In this question the i direction is horizontal and the j direction is vertically upwards. • 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.
A particle of mass 4 kg is in equilibrium under the action of its weight and two forces • 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
F1 = (12i + 17j) N and F2 . problems, contact your Team Leader without delay.
Determine F2 . Give your answer in vector form. [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
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
in Section 11.
5 (a) An object is dropped from rest and falls s m to the ground.
Find an expression for the time taken to reach the ground in terms of s and g. [2] 2
(b) In Singapore the value of g has been measured as 9.7806 m s –2 and in Oslo as 9.825 m s –2 .
An object is dropped from rest so that it falls 30 m to the ground in each city.
Determine the difference between the time the object takes to reach the ground in Oslo and in
Singapore. Give your answer correct to 3 significant figures. [2]
6 (a) A student makes a conjecture that (n - 1) n (n + 1) is always a multiple of 12 when n is a
positive integer and n 2 1.
Use a counter example to show that this conjecture is false. [2]
(b) Show that (n - 1) n (n + 1) is always a multiple of 6 when n is a positive integer and n 2 1.
[3]
Cambridge 2026 H630/01 Jun26 Turn over
