Đề thi FMO vòng chung kết quốc tế 2022 Khối 4 (Kèm đáp án)

 FMO - Grade 4 
A. Warm-up (4 points per question / No points deducted for wrong answers) 
1. Pascal took a total of 111600 steps during September. What was his average 
 number of steps per day in September? 
 A) 3600 B) 3720 C) 3620 D) 3700 E) 3760 
2. Find the missing figure based on the pattern below. 
 A) B) C) D) E) 
3. How many 2-digit numbers divisible by 4 are there? 
 A) 25 B) 22 C) 20 D) 21 E) 23 
4. At first, there were 40 students in class 4A. After 2 girls got into the class, the 
 number of girls is now 6 times the number of boys. How many girls are there in the 
 beginning? 
 A) 5 B) 36 C) 42 D) 7 E) 34 
5. Mr. Johnson uses identical square tiles to make a path from his house to the pond 
 as below. Given that the total area of the path is 72m2, what is the total perimeter 
 around the path? 
 A) 54m B) 48m C) 69m D) 75m E) 96m 
6. Anna started exercising on Thursday. Each day, she walks for exactly 20 minutes. 
 At the end of today, Anna notices that she has walked 11 hours in total. Which day 
 of the week is it today? 
 A) Saturday B) Friday C) Wednesday D) Tuesday E) Monday 
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FERMAT Mathematical Olympiad Summer 2022 
All materials on the test are copyrighted and owned by Fermat Education 
 B. Speed-up (6 points per question / No points deducted for wrong answers) 
11. Sheldon folds the square paper in half twice and cuts it along the red lines as in the 
 figure below. How many pieces does he receive? 
 A) 12 B) 8 C) 6 D) 7 E) 10 
12. Given that 3 4 4 5 6 and 4 8 8 9 10 11, find the value of 30 40. 
 A) 1635 B) 1650 C) 2200 D) 150 E) 1050 
13. One day, a store offered a sale on all items with only 2 price level as below. Given 
 that the store sold 200 clothing items and received 3774 dollars. How many dresses 
 did they sell? 
 Price per item 
 Dress 24 dollars 
 T-Shirt 15 dollars 
 A) 51 B) 114 C) 86 D) 157 E) 32 
14. Mrs. Wendy measures three sides of her land and shows them in the figure below. 
 What is the total perimeter of her land? 
 A) 160m B) 164m C) 112m D) 84m E) 168m 
15. Solve the puzzle below to find the value of a hat. 
 A) 8 B) 11 C) 13 D) 10 E) None of the above 
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FERMAT Mathematical Olympiad Summer 2022 
All materials on the test are copyrighted and owned by Fermat Education 
20. Given a box with 2022 balls numbered consecutively from 1 to 2022. At least how 
 many balls should be picked out to ensure that you get two balls with the 
 difference of numbers being 24? 
 A) 1015 B) 1033 C) 1011 D) 1013 E) None of the above 
III. Star of hope (10 points per question/ 10 points deducted for the wrong answer) 
 In this part, you must write your answer on the answer sheet. 
21. A factory is producing toy cars. The cars are numbered them from 1 to 2022. Each 
 toy car is painted blue, red or yellow. For every three consecutive cars, there are 
 always toy cars of all colors. Jennie guesses the colors of five toy cars as below: 
 • Car number 1835 is yellow. 
 • Car number 236 is red. 
 • Car number 97 is red. 
 • Car number 704 is blue. 
 • Car number 2016 is red. 
 Only one of her guesses is correct. What is the number of the toy car whose color 
 she guessed correctly? 
 ______________________________________________________________________ 
 Congratulations! 
 This is the end of the test. Please review the answers carefully before submission. 
 5 
FERMAT Mathematical Olympiad Summer 2022 
All materials on the test are copyrighted and owned by Fermat Education