OCR A Level Further Mathematics A Pure Core
1(Y540/01) VERIFIED QP
AND MS
Oxford Cambridge and RSA
May 2026 – 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 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 ms–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 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
*1920517432*
,
, 2
J5 0N
1 (a) A matrix M is given by M = K0 5O.
L P
Describe the transformation represented by M. [2]
(b) Write down the 2 # 2 matrix that represents a rotation of 90° anticlockwise about the origin.
[1]
(c) Write down the 3 # 3 matrix that represents a reflection in the x–z plane. [1]
dy
2 (a) Given that y = cosh-1b 1 xl, find in terms of x. [1]
3 dx
(b) Determine an equation of the normal to the curve y = cosh-13b1 xl at the point where x = 5.
Give your answer in the form ax + by = c +ln d , where a, b, c and d are integers. [4]
1(Y540/01) VERIFIED QP
AND MS
Oxford Cambridge and RSA
May 2026 – 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 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 ms–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 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
*1920517432*
,
, 2
J5 0N
1 (a) A matrix M is given by M = K0 5O.
L P
Describe the transformation represented by M. [2]
(b) Write down the 2 # 2 matrix that represents a rotation of 90° anticlockwise about the origin.
[1]
(c) Write down the 3 # 3 matrix that represents a reflection in the x–z plane. [1]
dy
2 (a) Given that y = cosh-1b 1 xl, find in terms of x. [1]
3 dx
(b) Determine an equation of the normal to the curve y = cosh-13b1 xl at the point where x = 5.
Give your answer in the form ax + by = c +ln d , where a, b, c and d are integers. [4]
