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2024 Oxford Cambridge and RSA A Level Further Mathematics B (MEI) Y434/01 Numerical Methods ACTUAL QUESTION PAPER WITH MERGED MARKING SCHEME $7.29
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OXFORD CAMBRDGE
AND RSA 2024
[Type the document subtitle]
OCR 2024
2024
[Type the company address]
, Oxford Cambridge and RSA
Wednesday 19 June 2024 – Afternoon
A Level Further Mathematics B (MEI)
Y434/01 Numerical Methods
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
QP
(MEI)
• 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.
• 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 is an exempt Charity
Turn over
, 2
1 The table shows some values of x, together with the associated values of a function, f(x).
x 1.9 2 2.1
f(x) 0.5842 0.6309 0.6753
(a) Use the information in the table to calculate the most accurate estimate of f '(2) possible. [2]
(b) Calculate an estimate of the error when f(2) is used as an estimate of f(2.05). [2]
2 You are given that a = tanh(1) and b = tanh(2).
A is the approximation to a formed by rounding tanh(1) to 1 decimal place.
B is the approximation to b formed by rounding tanh(2) to 1 decimal place.
(a) Calculate the following.
• The relative error RA when A is used to approximate a.
•
The relative error RB when B is used to approximate b. [3]
A a
(b) Calculate the relative error RC when C = is used to approximate c = . [2]
B b
(c) Comment on the relationship between RA , RB and RC . [1]
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