ACTUAL JUNE 2024 PEARSON EDEXCEL LEVEL 3 GCE MATHEMATICS 9MAO/032 A LEVEL PAPER 32 MERGED
QUESTION PAPER AND MARKING SCHEME
surname names
Number Number
Afternoon
Mathematics
■ ■
Advanced
PAPER 32: Mechanics
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
−2
otherwise indicated, whenever a value of g is required, take g = 9.8 m s
and give your answer to either 2 significant figures or 3 significant figures.
Information
• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•• The total mark for this part of the examination is 50. There are 6 questions.
– usemarks
this asfor eachas
a guide question are shown
to how much time in
to brackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end.
Turn over
P75696A
©2024 Pearson Education Ltd.
F:1/1/1/1/
,1.
P (0.5 kg)
DO NOT WRITE IN THIS AREA
Figure 1
Figure 1 shows a particle P of mass 0.5 kg at rest on a rough horizontal plane.
(a) Find the magnitude of the normal reaction of the plane on P.
(1)
2
The coefficient of friction between P and the plane is
7
A horizontal force of magnitude X newtons is applied to P.
Given that P is now in limiting equilibrium,
(b) find the value of X.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
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, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
, 2.
speed
(m s–1)
DO NOT WRITE IN THIS AREA
U
t (s)
Figure 2
Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a
200 m race in 24 s.
DO NOT WRITE IN THIS AREA
The athlete
• starts from rest at time t = 0 and accelerates at a constant rate, reaching a speed of
10 m s–1 at t = 4
• then moves at a constant speed of 10 m s–1 from t = 4 to t = 18
• then decelerates at a constant rate from t = 18 to t = 24, crossing the finishing line
with speed U m s–1
Using the model,
(a) find the acceleration of the athlete during the first 4 s of the race, stating the units of
your answer,
(2)
(b) find the distance covered by the athlete during the first 18 s of the race,
(3)
(c) find the value of U.
DO NOT WRITE IN THIS AREA
(3)
4
■■■■
QUESTION PAPER AND MARKING SCHEME
surname names
Number Number
Afternoon
Mathematics
■ ■
Advanced
PAPER 32: Mechanics
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
−2
otherwise indicated, whenever a value of g is required, take g = 9.8 m s
and give your answer to either 2 significant figures or 3 significant figures.
Information
• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•• The total mark for this part of the examination is 50. There are 6 questions.
– usemarks
this asfor eachas
a guide question are shown
to how much time in
to brackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end.
Turn over
P75696A
©2024 Pearson Education Ltd.
F:1/1/1/1/
,1.
P (0.5 kg)
DO NOT WRITE IN THIS AREA
Figure 1
Figure 1 shows a particle P of mass 0.5 kg at rest on a rough horizontal plane.
(a) Find the magnitude of the normal reaction of the plane on P.
(1)
2
The coefficient of friction between P and the plane is
7
A horizontal force of magnitude X newtons is applied to P.
Given that P is now in limiting equilibrium,
(b) find the value of X.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
■■■■
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
■■■■
Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
, 2.
speed
(m s–1)
DO NOT WRITE IN THIS AREA
U
t (s)
Figure 2
Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a
200 m race in 24 s.
DO NOT WRITE IN THIS AREA
The athlete
• starts from rest at time t = 0 and accelerates at a constant rate, reaching a speed of
10 m s–1 at t = 4
• then moves at a constant speed of 10 m s–1 from t = 4 to t = 18
• then decelerates at a constant rate from t = 18 to t = 24, crossing the finishing line
with speed U m s–1
Using the model,
(a) find the acceleration of the athlete during the first 4 s of the race, stating the units of
your answer,
(2)
(b) find the distance covered by the athlete during the first 18 s of the race,
(3)
(c) find the value of U.
DO NOT WRITE IN THIS AREA
(3)
4
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