OXFORD
CAMBRIDGE AND
RSA 2024
OCR 2024
GCEFurther Mathematics
AY540/01: Pure Core 1A Level
, Oxford Cambridge and RSA
Wednesday 22 May 2024 – Afternoon
A Level Further Mathematics A
Y540/01 Pure Core 1
Time allowed: 1 hour 30 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for A Level Further
QP
Mathematics A
• 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 pages at the end of the Printed AnswerBooklet. 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 begiven
for using a correct method, even if your answer is wrong.
• Give non-exact numerical answers correct to 3 significant figures unless a differentdegree
of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value isneeded
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 75.
• 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 is an exempt Charity
Turn over
, 3
-1 2 dy
1 Given that y = sin (x ), find . [3]
dx
1
2 The locus C1 is defined by C1 = %z | 0 G arg (z +i) G r/.
4
(a) Indicate by shading on the Argand diagram in the Printed Answer Booklet the region
representing C1. [2]
(b) Determine whether the complex number 1.2 + 0.8i is in C1. [2]
The locus C2 is the set of complex numbers represented by the interior of the circle with radius
2and centre 3. The locus C2 is illustrated on the Argand diagram below.
Im
3
2
1 C2
Re
–2 –1 O 1 2 3 4 5
–1
–2
(c) Use set notation to define C2. [2]
(d) Determine whether the complex number 1.2 + 0.8i is in C2 . [2]
© OCR 2024 Y540/01 Jun24 Turn over
CAMBRIDGE AND
RSA 2024
OCR 2024
GCEFurther Mathematics
AY540/01: Pure Core 1A Level
, Oxford Cambridge and RSA
Wednesday 22 May 2024 – Afternoon
A Level Further Mathematics A
Y540/01 Pure Core 1
Time allowed: 1 hour 30 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for A Level Further
QP
Mathematics A
• 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 pages at the end of the Printed AnswerBooklet. 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 begiven
for using a correct method, even if your answer is wrong.
• Give non-exact numerical answers correct to 3 significant figures unless a differentdegree
of accuracy is specified in the question.
• The acceleration due to gravity is denoted by g m s–2. When a numerical value isneeded
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 75.
• 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 is an exempt Charity
Turn over
, 3
-1 2 dy
1 Given that y = sin (x ), find . [3]
dx
1
2 The locus C1 is defined by C1 = %z | 0 G arg (z +i) G r/.
4
(a) Indicate by shading on the Argand diagram in the Printed Answer Booklet the region
representing C1. [2]
(b) Determine whether the complex number 1.2 + 0.8i is in C1. [2]
The locus C2 is the set of complex numbers represented by the interior of the circle with radius
2and centre 3. The locus C2 is illustrated on the Argand diagram below.
Im
3
2
1 C2
Re
–2 –1 O 1 2 3 4 5
–1
–2
(c) Use set notation to define C2. [2]
(d) Determine whether the complex number 1.2 + 0.8i is in C2 . [2]
© OCR 2024 Y540/01 Jun24 Turn over
