Đề thi FMO vòng chung kết quốc gia 2022-2023 Khối 4

 FMO – GRADE 4 
 A. WARM-UP 
 (4 points per question / No points deducted for wrong answers) 
1. What should be filled into the cell with question mark? 
 A) B) C) 
 D) E) 
2. Mr. Thomas need to hook another weight on the right side of the scale, so that both sides 
 weigh the same. What is the mass of that weight? 
 A) 25kg B) 17kg C) 29kg D) 21kg E) 23kg 
 1 
 FERMAT MATHEMATICAL OLYMPIAD - FMO 2021 
 Issued by Fermat Education 
 B. SPEED-UP 
 (6 points per question / No points deducted for wrong answers) 
6. Mark has a square piece of paper. He folds it in half and cuts a hole at center as in the 
 figure below. 
 Afterwards, he opens the paper. What does the paper look like now? 
 A) B) C) 
 D) E) 
7. The audience votes for a musical talent competition. This pictogram shows the votes 
 that were received for each contestant. What is the difference in the number of votes 
 given to the highest and lowest-scoring? 
 A) 30 B) 45 C) 55 D) 40 E) 35 
 3 
 FERMAT MATHEMATICAL OLYMPIAD - FMO 2021 
 Issued by Fermat Education 
 C. CHALLENGE 
 (8 points per question / No points deducted for wrong answers) 
11. A group of animals including horse, cow, rabbit, sheep, pig and goat attend to a 
 meeting. They are sitting around a rectangular table like a picture below. Given that: 
 The horse is sitting on one side alone. 
 The pig and the sheep are sitting on the same side of the table. 
 The goat is facing the horse. 
 The rabbit is the immediate left of the goat. 
 The sheep is facing the rabbit. 
 Who is to immediate right of the horse? 
 A) Rabbit B) Cow C) Sheep D) Pig E) Goat 
12. A piece of land is divided into identical square cells, each of side length 8m. They want 
 to build a rectangular pond on the land but they don’t want to cut down any trees. 
 What is the largest area of the pond? 
 A) 640m2 B) 600m2 C) 560m2 D) 720m2 E) None of the above 
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 FERMAT MATHEMATICAL OLYMPIAD - FMO 2021 
 Issued by Fermat Education 
 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. A group of archaeologists uncover an ancient Egyptian tomb. They are surprised since 
 there is a code which is engraved on the wall. After some researches, they discover 
 that five symbols represent five different numbers that has the sum being 15. 
 ♠ ♣ ♥ ♦ ♧ 
 ♥ + ♥ = ♧ 
 ♣ + ♣ = ♥ 
 ♣ + ♧ = ♦ 
 Which number does the symbol ♠ represent? 
 ________________________________________________________________________ 
 Congratulations! 
 This is the end of the test. Please review the answers carefully before submission. 
 7 
 FERMAT MATHEMATICAL OLYMPIAD - FMO 2021 
 Issued by Fermat Education