2O25 OCR A Level Further Mathematics B
(MEI) Y431/01 Mechanics Minor
Verified Question paper with Marking
Scheme combined
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
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.
OCR A LEVEL • Give your final answers to a degree of
accuracy that is appropriate to the context.
FURTHER • 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
MATHEMATICS B specified in the question.
• Do not send this Question Paper for
marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown
in brackets [ ].
, Oxford Cambridge and RSA
Friday 6 June 2025 – Afternoon
A Level Further Mathematics B (MEI)
Y431/01 Mechanics Minor
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
(MEI) QP
• a scientific or graphical calculator
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 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.
–2
• The acceleration due to gravity is denoted by g m s . When a numerical value is
needed use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [K/508/5595] OCR is an exempt Charity
DC (CE/SG) 358261/3 Turn over
, 2
1 Particles A and B move towards each other on a smooth horizontal surface. Particle A has
speed 3 m s-1 and particle B has speed 8 m s-1 .
After they collide directly, A and B move away from each other, A with a speed of 5.2 m s-1 and B
with a speed of v m s-1 . The collision between A and B is perfectly elastic.
(a) Find the value of v. [1]
(b) State the kinetic energy lost in the collision between A and B. [1]
Two different particles, C and D, move on a smooth horizontal surface. Particle C has a speed
of 6.4 m s-1 towards D and particle D has a speed of 1.9 m s-1 away from C.
After they collide directly, the particles move away from each other. The speed of C after
the collision is 0.2 m s-1 . The coefficient of restitution between C and D is 0.8.
You are given that the mass of C is 3.5 kg.
(c) Determine the mass of D. [4]
© OCR 2025 Y431/01 Jun25
, 3
2 (a) (i) State the dimensions of force. [1]
(ii) State the dimensions of energy. [1]
The surface tension, S, of a liquid can be defined as force per unit length. It can also be defined
as energy per unit area.
(b) Show that these two definitions of surface tension are dimensionally consistent with one
another. [2]
When a droplet of liquid is placed on a non-absorbent horizontal surface, the maximum height h
m of the droplet is modelled by the formula
h = mS a gb tc ,
where
• m is a dimensionless constant,
• S is the surface tension of the liquid in N m–1,
• g is the acceleration due to gravity in m s–2,
• t is the density of the liquid in kg m–3.
(c) Use dimensional analysis to determine the values of a , b and c . [4]
At room temperature, water has a density of 1 g cm-3 and a surface tension of 0.073 N m-1 .
When a small droplet of water is placed on a non-absorbent horizontal surface, it has maximum
height 0.53 cm.
(d) Find the value of m . [2]
© OCR 2025 Y431/01 Jun25 Turn over
(MEI) Y431/01 Mechanics Minor
Verified Question paper with Marking
Scheme combined
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
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.
OCR A LEVEL • Give your final answers to a degree of
accuracy that is appropriate to the context.
FURTHER • 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
MATHEMATICS B specified in the question.
• Do not send this Question Paper for
marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown
in brackets [ ].
, Oxford Cambridge and RSA
Friday 6 June 2025 – Afternoon
A Level Further Mathematics B (MEI)
Y431/01 Mechanics Minor
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
(MEI) QP
• a scientific or graphical calculator
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 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.
–2
• The acceleration due to gravity is denoted by g m s . When a numerical value is
needed use g = 9.8 unless a different value is specified in the question.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [K/508/5595] OCR is an exempt Charity
DC (CE/SG) 358261/3 Turn over
, 2
1 Particles A and B move towards each other on a smooth horizontal surface. Particle A has
speed 3 m s-1 and particle B has speed 8 m s-1 .
After they collide directly, A and B move away from each other, A with a speed of 5.2 m s-1 and B
with a speed of v m s-1 . The collision between A and B is perfectly elastic.
(a) Find the value of v. [1]
(b) State the kinetic energy lost in the collision between A and B. [1]
Two different particles, C and D, move on a smooth horizontal surface. Particle C has a speed
of 6.4 m s-1 towards D and particle D has a speed of 1.9 m s-1 away from C.
After they collide directly, the particles move away from each other. The speed of C after
the collision is 0.2 m s-1 . The coefficient of restitution between C and D is 0.8.
You are given that the mass of C is 3.5 kg.
(c) Determine the mass of D. [4]
© OCR 2025 Y431/01 Jun25
, 3
2 (a) (i) State the dimensions of force. [1]
(ii) State the dimensions of energy. [1]
The surface tension, S, of a liquid can be defined as force per unit length. It can also be defined
as energy per unit area.
(b) Show that these two definitions of surface tension are dimensionally consistent with one
another. [2]
When a droplet of liquid is placed on a non-absorbent horizontal surface, the maximum height h
m of the droplet is modelled by the formula
h = mS a gb tc ,
where
• m is a dimensionless constant,
• S is the surface tension of the liquid in N m–1,
• g is the acceleration due to gravity in m s–2,
• t is the density of the liquid in kg m–3.
(c) Use dimensional analysis to determine the values of a , b and c . [4]
At room temperature, water has a density of 1 g cm-3 and a surface tension of 0.073 N m-1 .
When a small droplet of water is placed on a non-absorbent horizontal surface, it has maximum
height 0.53 cm.
(d) Find the value of m . [2]
© OCR 2025 Y431/01 Jun25 Turn over
