PAGE 584
Cambridge International AS & A Level
CANDIDATE
NAME
CENTRE CANDIDATE
NUMBER NUMBER
*2554281371*
MATHEMATICS 9709/11
Paper 1 Pure Mathematics 1 October/November 2021
1 hour 50 minutes
You must answer on the question paper.
You will need: List of formulae (MF19)
INSTRUCTIONS
! Answer all questions.
! Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
! Write your name, centre number and candidate number in the boxes at the top of the page.
! Write your answer to each question in the space provided.
! Do not use an erasable pen or correction fluid.
! Do not write on any bar codes.
! If additional space is needed, you should use the lined page at the end of this booklet; the question
number or numbers must be clearly shown.
! You should use a calculator where appropriate.
! You must show all necessary working clearly; no marks will be given for unsupported answers from a
calculator.
! Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
INFORMATION
! The total mark for this paper is 75.
! The number of marks for each question or part question is shown in brackets [ ].
This document has 20 pages. Any blank pages are indicated.
JC21 11_9709_11/RP
© UCLES 2021 [Turn over
, PAGE 585
3
! "
1 2
1 (a) Expand 1 − . [1]
2x
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(b) Find the first four terms in the expansion, in ascending powers of x, of #1 + 2x$6 . [2]
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! "
1 2
(c) Hence find the coefficient of x in the expansion of 1 − #1 + 2x$6 . [2]
2x
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© UCLES 2021 9709/11/O/N/21 [Turn over
, PAGE 586
4
2 A curve has equation y = kx2 + 2x − k and a line has equation y = kx − 2, where k is a constant.
Find the set of values of k for which the curve and line do not intersect. [5]
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© UCLES 2021 9709/11/O/N/21
Cambridge International AS & A Level
CANDIDATE
NAME
CENTRE CANDIDATE
NUMBER NUMBER
*2554281371*
MATHEMATICS 9709/11
Paper 1 Pure Mathematics 1 October/November 2021
1 hour 50 minutes
You must answer on the question paper.
You will need: List of formulae (MF19)
INSTRUCTIONS
! Answer all questions.
! Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
! Write your name, centre number and candidate number in the boxes at the top of the page.
! Write your answer to each question in the space provided.
! Do not use an erasable pen or correction fluid.
! Do not write on any bar codes.
! If additional space is needed, you should use the lined page at the end of this booklet; the question
number or numbers must be clearly shown.
! You should use a calculator where appropriate.
! You must show all necessary working clearly; no marks will be given for unsupported answers from a
calculator.
! Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
INFORMATION
! The total mark for this paper is 75.
! The number of marks for each question or part question is shown in brackets [ ].
This document has 20 pages. Any blank pages are indicated.
JC21 11_9709_11/RP
© UCLES 2021 [Turn over
, PAGE 585
3
! "
1 2
1 (a) Expand 1 − . [1]
2x
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
(b) Find the first four terms in the expansion, in ascending powers of x, of #1 + 2x$6 . [2]
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
! "
1 2
(c) Hence find the coefficient of x in the expansion of 1 − #1 + 2x$6 . [2]
2x
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
© UCLES 2021 9709/11/O/N/21 [Turn over
, PAGE 586
4
2 A curve has equation y = kx2 + 2x − k and a line has equation y = kx − 2, where k is a constant.
Find the set of values of k for which the curve and line do not intersect. [5]
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© UCLES 2021 9709/11/O/N/21
