Đề thi FMO mùa hè 2021 Khối 3 (Kèm đáp án)

 FMO – Grade 3 
 A. Warm-up (4 points per question / No points deducted for wrong answers) 
1. What should be filled in the question mark? 
2. How many triangles are there in the figure below? 
 A) 6 B) 9 C) 13 D) 14 E) 15 
3. Given the timetable of a circular bus travelling around the city. Lucy wants to 
 travel from Museum to the Cathedral. If she is waiting for the bus beside the 
 Museum at 12:15, how many minutes does she have to spend on the bus? 
 Route 1st 2nd 3rd 
 City 10:00 11:50 13:40 
 Museum 10:25 12:12 14:04 
 Beach 10:49 12:38 14:29 
 Cathedral 11:17 13:00 14:56 
 A) 48 B) 34 C) 52 D) 55 E) 50 
 1 
 FERMAT Mathematical Olympiad Summer 2021 
 All materials on the test are copyrighted and owned by Fermat Education 
 A) 6 B) 7 C) 8 D) 9 E) 10 
8. Find the missing number in the table below. 
 1 5 8 13 
 2 6 7 19 
 3 7 1 22 
 4 8 2 ? 
 A) 43 B) 32 C) 24 D) 22 E) 34 
9. Grandma has some candy jars. Each jar contains 2 apple candies and 4 banana 
 candies OR 3 apple candies and 3 banana candies. Given that she has 17 banana 
 candies. How many apple candies does she have? 
 A) 14 B) 13 C) 15 D) 12 E) 11 
10. Teacher has a square piece of paper. She folds it in half three times then cuts 
 out two triangles as the figure below. What does the paper look like after being 
 cut? 
 3 
 FERMAT Mathematical Olympiad Summer 2021 
 All materials on the test are copyrighted and owned by Fermat Education 
 14. Find the suitable number to replace the question mark. 
 A) 24 B) 26 C) 12 D) 18 E) None of the above 
 15. Based on the pattern below, find the sum of all numbers in 20th row. 
 1 2 3 4 
 8 7 6 5 
 9 10 11 12 
 16 15 14 13 
 A) 314 B) 74 C) 326 D) 341 E) None of the above 
D. Star of hope (10 points per question/ 10 points deducted for wrong answer) 
 In this part, you must write your answer on the answer sheet. 
 16. There are 2021 people living on an island. Some of these people are truth-
 tellers and the others are liars. The truth-tellers always tell the truth whereas 
 the liars always lie. Each day, one of the people says “When I have left the 
 island the number of truth-tellers will be the same as the number of liars.” Then 
 this person leaves the island. After 2021 days there is no longer anybody living 
 in the island. How many truth-tellers were living there in the beginning? 
 Congratulations! 
 This is the end of the test. Please review the answers carefully before submission. 
 5 
 FERMAT Mathematical Olympiad Summer 2021 
 All materials on the test are copyrighted and owned by Fermat Education