2O25 OCR AS Level Further Mathematics A
Y533/01 Mechanics
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.
• Give non-exact numerical answers
OCR AS LEVEL correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
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
specified in the question.
MATHEMATICS A • 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
, Oxford Cambridge and RSA
Tuesday 20 May 2025 – Afternoon
AS Level Further Mathematics A
Y533/01 Mechanics
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for AS Level Further
Mathematics A 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 non-exact numerical answers correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
• 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.
• 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 [T/508/5499] OCR is an exempt Charity
DC (ST/CB) 357853/5 Turn over
, 2
1 A cricket ball of mass 0.16 kg is at rest on rough horizontal ground when it is struck by a
bat. Immediately after the ball is struck its speed is 15 ms-1 in a horizontal direction.
(a) Find the magnitude of the impulse exerted by the bat on the ball. [1]
The ball remains in contact with the ground and the resistance to the motion of the ball
is modelled as constant.
The ball comes to rest again after it has travelled 30 m along the ground.
(b) Use the work-energy principle to find the magnitude of the resistance to the motion of the
ball. [3]
2 Two particles, A of mass m kg and B of mass 2m kg, are connected by a light inextensible
string. The particles are initially placed together at rest on a smooth horizontal surface with
the string slack.
At a certain instant, A and B are projected along the surface, directly away from each other,
with speeds of 3 ms-1 and u ms-1 respectively. You are given that u11.5.
(a) Find, in terms of u, the speed of A immediately after the string becomes taut. [2]
(b) (i) State the direction of motion of B immediately after the string becomes taut. [1]
(ii) Find, in terms of m and u, the magnitude of the impulse exerted on B as a result of the
string becoming taut. [2]
(iii) Write down an expression for the impulse exerted on A as a result of the string
becoming
taut. [1]
m (3 +u) 2
(c) Show that the loss of kinetic energy as a result of the string becoming taut is J. [3]
3
, © OCR 2025 Y533/01 Jun25
Y533/01 Mechanics
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.
• Give non-exact numerical answers
OCR AS LEVEL correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
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
specified in the question.
MATHEMATICS A • 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
, Oxford Cambridge and RSA
Tuesday 20 May 2025 – Afternoon
AS Level Further Mathematics A
Y533/01 Mechanics
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for AS Level Further
Mathematics A 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 non-exact numerical answers correct to 3 significant figures unless a different
degree of accuracy is specified in the question.
• 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.
• 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 [T/508/5499] OCR is an exempt Charity
DC (ST/CB) 357853/5 Turn over
, 2
1 A cricket ball of mass 0.16 kg is at rest on rough horizontal ground when it is struck by a
bat. Immediately after the ball is struck its speed is 15 ms-1 in a horizontal direction.
(a) Find the magnitude of the impulse exerted by the bat on the ball. [1]
The ball remains in contact with the ground and the resistance to the motion of the ball
is modelled as constant.
The ball comes to rest again after it has travelled 30 m along the ground.
(b) Use the work-energy principle to find the magnitude of the resistance to the motion of the
ball. [3]
2 Two particles, A of mass m kg and B of mass 2m kg, are connected by a light inextensible
string. The particles are initially placed together at rest on a smooth horizontal surface with
the string slack.
At a certain instant, A and B are projected along the surface, directly away from each other,
with speeds of 3 ms-1 and u ms-1 respectively. You are given that u11.5.
(a) Find, in terms of u, the speed of A immediately after the string becomes taut. [2]
(b) (i) State the direction of motion of B immediately after the string becomes taut. [1]
(ii) Find, in terms of m and u, the magnitude of the impulse exerted on B as a result of the
string becoming taut. [2]
(iii) Write down an expression for the impulse exerted on A as a result of the string
becoming
taut. [1]
m (3 +u) 2
(c) Show that the loss of kinetic energy as a result of the string becoming taut is J. [3]
3
, © OCR 2025 Y533/01 Jun25
