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亞
洲
國
際
數
學
奧
林
匹
克
聯
合
會
A
SIA
I
NTERNATIONAL
M
ATHEMATICAL
O
LYMPIAD
U
NION
2021 亞洲國際數學奧林匹克公開賽初賽
2021 Asia International Mathematical Olympiad Open Trial
小一組
Grade 1
時限：
60
分鐘
Time allowed:
60
minutes
試題
Question Paper
本試題不可取走。
THIS QUESTION PAPER CANNOT BE TAKEN AWAY.
未得監考官同意，切勿翻閱試題，否則參賽者將有可能被取消資格。
DO NOT turn over this Question Paper without approval of the examiner.
Otherwise, contestant may be DISQUALIFIED.
請將答案寫在
答題紙
上。
All answers should be written on the ANSWER SHEET.
請以最簡形式填寫答案。若計算結果是分數，請化至最簡，並確保為真分數或帶分數，或將計算結果寫成小數。
答案可以根式表示，唯該根式必須是最簡形式。除特別註明外，毋需填寫單位。錯誤單位將不給予任何分數。
Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction,
decimal figure is also accepted. You may use square root to represent the answer which is in the simplest form.
Unless otherwise stated, no need to write down any unit. Marks will NOT be given for incorrect unit.
請將答案寫在
答題紙
上。
All answers should be written on the ANSWER SHEET.
(C) 2021 Hong Kong Mathematical Olympiad Association
香港數學奧林匹克協會
(HKMO) http://www.hkmo.com.hk
All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,
electronic mechanical, photocopying, recording or otherwise, without the prior permission of Hong Kong Mathematical Olympiad Association.
甲部：每題
4
分
Section A – each question carries 4 marks
1)
3 8 7
?
(A)
15
(B)
16
(C)
17
(D)
18
(E)
19
2)
2 3 4 5 6 7 8 9
?
(A)
6
(B)
8
(C)
10
(D)
12
(E)
14
3)
3 5 7 9 11 13 15 17
?
(A)
50
(B)
70
(C)
75
(D)
80
(E)
100
4)
在圖
4
中有多少個長方形？
在图
4
中有多少个长方形？
How many rectangles are there in Figure 4?
圖
4
图
4
Figure 4
(A)
10
(B)
11
(C)
12
(D)
13
(E)
14
請將答案寫在
答題紙
上。
All answers should be written on the ANSWER SHEET.
請以最簡形式填寫答案。若計算結果是分數，請化至最簡，並確保為真分數或帶分數，或將計算結果寫成小數。
答案可以根式表示，唯該根式必須是最簡形式。除特別註明外，毋需填寫單位。錯誤單位將不給予任何分數。
Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction,
decimal figure is also accepted. You may use square root to represent the answer which is in the simplest form.
Unless otherwise stated, no need to write down any unit. Marks will NOT be given for incorrect unit.
5)
根據以下規律，由左至右數第
10
個是甚麼符號？（將正確符號畫在答案紙上）
根据以下规律，由左至右数第
10
个是什么符号？（将正确符号画在答案纸上）
According to the following pattern, what is the 10
th
symbol from the left? (Draw the correct symbol on
the answer sheet)
○
△
□
○
○
△
□
○
○
___
□
○
○
△
□
○
(A)
○
(B)
△
(C)
□
(D)
★
(E)
▽
6)
圖
6
中，一個白球還是一個灰球比較重？
图
6
中，一个白球还是一个灰球比较重？
In Figure 6, which one is heavier? One white ball or one grey ball?
圖
6
图
6
Figure 6
(A)
白球
白球
white ball
(B)
灰球
灰球
grey ball
(C)
一樣重
一样重
same
7)
圖
7.1
有
4
個正方體，那麼在圖
7.2
中有多少個正方體？
图
7.1
有
4
个正方体，那么在图
7.2
中有多少个正方体？
There are 4 cubes in Figure 7.1. How many cubes are there in Figure 7.2?
圖
7.1
圖
7.2
图
7.1
图
7.2
Figure 7.1
Figure 7.2
(A)
8
(B)
9
(C)
10
(D)
11
(E)
12
請將答案寫在
答題紙
上。
All answers should be written on the ANSWER SHEET.
(C) 2021 Hong Kong Mathematical Olympiad Association
香港數學奧林匹克協會
(HKMO) http://www.hkmo.com.hk
All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,
electronic mechanical, photocopying, recording or otherwise, without the prior permission of Hong Kong Mathematical Olympiad Association.
8)
在圖
8
中有多少個星星？
在图
8
中有多少个星星？
How many stars are there in Figure 8?
圖
8
图
8
Figure 8
(A)
24
(B)
25
(C)
26
(D)
27
(E)
29
~
甲部完
~
~ End of Section A ~
請將答案寫在
答題紙
上。
All answers should be written on the ANSWER SHEET.
請以最簡形式填寫答案。若計算結果是分數，請化至最簡，並確保為真分數或帶分數，或將計算結果寫成小數。
答案可以根式表示，唯該根式必須是最簡形式。除特別註明外，毋需填寫單位。錯誤單位將不給予任何分數。
Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction,
decimal figure is also accepted. You may use square root to represent the answer which is in the simplest form.
Unless otherwise stated, no need to write down any unit. Marks will NOT be given for incorrect unit.
乙部：每題
5
分
Section B – each question carries 5 marks
9)
26 24 33 17
?
(A)
4
(B)
3
(C)
2
(D)
1
(E)
0
10) 19 19 19 19 ?
(A)
74
(B)
76
(C)
78
(D)
79
(E)
80
11)
14
50
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