Cambridge International AS & A Level
CANDIDATE
NAME Solved
CENTRE CANDIDATE
NUMBER NUMBER
*5268134660*
MATHEMATICS 9709/11
Paper 1 Pure Mathematics 1 October/November 2023
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.
JC23 11_9709_11/2R
© UCLES 2023 [Turn over
, 2
BLANK PAGE
https://us06web.zoom.us/j/3513417220?pwd=
© UCLES 2023 9709/11/O/N/23
, 3
1 (a) Expand !1 + 3x"6 in ascending powers of x up to, and including, the term in x2 . [2]
........................................................................................................................................................
1 316 1 3 1 1 a 1 3m
........................................................................................................................................................
........................................................................................................................................................
2
I 184 135
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
(b) Hence find the coefficient of x2 in the expansion of !1 − 7x + x2 "!1 + 3x"6 . [2]
........................................................................................................................................................
1 7n n 1 18 13512
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
2
I 135 7R 18 n i
........................................................................................................................................................
13512 176m n2
........................................................................................................................................................
........................................................................................................................................................
22
........................................................................................................................................................
An
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
© UCLES 2023 9709/11/O/N/23 [Turn over
CANDIDATE
NAME Solved
CENTRE CANDIDATE
NUMBER NUMBER
*5268134660*
MATHEMATICS 9709/11
Paper 1 Pure Mathematics 1 October/November 2023
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.
JC23 11_9709_11/2R
© UCLES 2023 [Turn over
, 2
BLANK PAGE
https://us06web.zoom.us/j/3513417220?pwd=
© UCLES 2023 9709/11/O/N/23
, 3
1 (a) Expand !1 + 3x"6 in ascending powers of x up to, and including, the term in x2 . [2]
........................................................................................................................................................
1 316 1 3 1 1 a 1 3m
........................................................................................................................................................
........................................................................................................................................................
2
I 184 135
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
(b) Hence find the coefficient of x2 in the expansion of !1 − 7x + x2 "!1 + 3x"6 . [2]
........................................................................................................................................................
1 7n n 1 18 13512
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
2
I 135 7R 18 n i
........................................................................................................................................................
13512 176m n2
........................................................................................................................................................
........................................................................................................................................................
22
........................................................................................................................................................
An
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
........................................................................................................................................................
© UCLES 2023 9709/11/O/N/23 [Turn over
