Title Grade 7.pdf ✅

PREPARING FOR AMO 2023 Grade: 7 Time allowed: 90 minutes PRACTICE TEST 2 INSTRUCTIONS. Please read all the instructions below carefully. a) Please DO NOT OPEN the contest link until the Proctor has given permission to start. b) There are a total of 25 questions, which are divided into three parts. In the first part, choose only ONE correct answer among the 5 choices and darken its corresponding circle in your answer sheet. In the second part and third part, write the final answer for each question and darken their corresponding circles in your answer sheet. c) Write your answers in the respective blank. ○ When the answer is a 1-digit number, type “000” for the tens, the hundreds and the thou- sands place. Example: if the answer is 7, then type 0007. ○ When the answer is a 2-digit number, type “00” for the hundreds place and the thousands place. Example: if the answer is 23, then type 0023. ○ When the answer is a 3-digit number, type "0" for the thousands place. Example: if the answer is 191, then type 0191. ○ When the answer is a 4-digit number, type as it is. Example: if the answer is 6419, then type 6419. d) Dictionaries are allowed, but calculators are not. e) Figures may not be drawn to scale. Remark. Counting numbers are whole numbers except 0, i.e. 1, 2, 3, 4, 5, ... GOOD LUCK! p Tuong Tran - Trang Ngo 86 h AMO Vietnam
Part 2. PRACTICE TESTS AA MULTIPLE-CHOICE QUESTIONS (3 POINTS EACH) cQuestion 1. A computer is copying a file at a constant speed. If 1 minute and 45 seconds passed and 79% of the file is still uncopied, how long does it take to completely copy the file? A 8 minutes 20 seconds. B 7 minutes 09 seconds. C 5 minutes 45 seconds. D 3 minutes 04 seconds. E 2 minutes 13 seconds. cQuestion 2. John can draw a total of 100 sketches in two days. Today, his boss asks him to draw 100 sketches, the only problem is that he will be attending a wedding banquet tomorrow afternoon, so all sketches must be drawn within a day and a half. If he plans to hire a junior artist to work with him together to finish the project in time, how many days at most should the junior artist take to draw 100 sketches? A 3 days. B 4 days. C 5 days. D 6 days. E 8 days. p Tuong Tran - Trang Ngo 87 h AMO Vietnam
cQuestion 3. In the figure below, ABCD is a square with an area of 2020 cm2 . Connect the midpoints of each side to get square EF GH and then connect the midpoints of each side of square EF GH to get square MNP Q. What is the area of the shaded region? A B D C E F G H M P N Q A 400 cm2 . B 404 cm2 . C 450 cm2 . D 500 cm2 . E 505 cm2 . cQuestion 4. Using the dd/mm/yyyy (day/month/year) format, dates such as 01/02/2010 and 02/02/2020 are called "Palindromic Days" because the eight-digit numbers formed (e.g. 01022010 and 02022020) are both palindromes. What is the remainder when the “Palindromic Day” in the year 2021 is divided by 11? (Note: A palindrome is a number which reads the same backward as forward.) A 0. B 1. C 3. D 7. E 10. p Tuong Tran - Trang Ngo 88 h AMO Vietnam
Part 2. PRACTICE TESTS cQuestion 5. In the figure below, it is known that the side length of both squares is 2 cm. An ant, whose initial position is at point O starts crawling continuously for 2020 cm along the following path: “O −A−B −C −O − D −E −F −O −A−B −C −O − D −E −F −O −A...”. After completing the task, where will the ant arrive? A B C D E F O A Point B. B Point E. C Point D. D Point C. E Point F. cQuestion 6. Given that the sum of the three smallest numbers among 11 consecutive positive integers is 63, what is the largest number among these 11 numbers? A 11. B 21. C 22. D 30. E 31. p Tuong Tran - Trang Ngo 89 h AMO Vietnam