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HKDSE - MATH - M1 - 2021/22 MOCK EXAM 1
CHUNG TAI EDUCATIONAL PRESS
HONG KONG DIPLOMA OF SECONDARY EDUCATION
EXAMINATION
2021/22 MOCK EXAM
MATHEMATICS Extended Part
Module 1 (Calculus and Statistics)
Question-Answer Book
Time allowed: 2 1/2 hours
This paper must be answered in English
INSTRUCTIONS
(1) After the announcement of the start of the examination, you
should first write your Candidate Number in the space provided
on Page 1 and stick barcode labels in the spaces provided on
Pages 1, 3, 5, 7, 9, 11 and 13.
(2) This paper consists of TWO sections, A and B.
(3) Attempt ALL questions in this paper. Write your answers in the
spaces provided in this Question-Answer Book. Do not write in
the margins. Answers written in the margins will not be marked.
(4) Graph paper and supplementary answer sheets will be supplied
on request. Write your Candidate Number, mark the question
number box and stick a barcode label on each sheet, and fasten
them with string INSIDE this book.
(5) Unless otherwise specified, all working must be clearly shown.
(6) Unless otherwise specified, numerical answers should be either
exact or given to 4 decimal places.
(7) No extra time will be given to candidates for sticking on the
barcode labels or filling in the question number boxes after the
‘Time is up’ announcement.
Please stick the barcode label here.
Candidate Number
HKDSE
21/22 MOCK EXAM
MATH EP
M1
ã中大出版社有限公司 保留版權
Chung Tai Educational Press Limited
All Rights Reserved 2021
第2页，共44页
HKDSE - MATH - M1 - 2021/22 MOCK EXAM 2
2021 Chung Tai Educational Press Limited
SECTION A (50 marks)
1. Let A and B be two events. Denote the complementary events of A and B by
'A and 'B
respectively. Suppose that (|')0.4PBA , ('|')1.8()PABPB and
('')1.288()PABPB
.
(a) Prove that (')3()(')PAPBPB .
(b) Find (')PA .
(c) Are A and B independent? Explain your answer.
(6 marks)
Answers written in the margins will not be marked.
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第3页，共44页
HKDSE - MATH - M1 - 2021/22 MOCK EXAM 3
2021 Chung Tai Educational Press Limited
2. The table below shows the probability distribution of a discrete random
variable X, where k
and m are constants.
x 1 3 5 6 m
P( X x) 0.05 0.1 k 2 0.1 k
(a) Find k.
(b) If E(52)Var(52)XmXm , find m.
(6 marks)
Please stick the barcode label here.
Answers written in the margins will not be marked.
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tten
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s
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