Đề thi FMO mùa hè 2021 Khối 5 (Kèm đáp án)

 FMO – Grade 5 
 A. Warm-up (4 points per question / No points deducted for wrong answers) 
1. Which figure should be filled into the cell with the question mark? 
 A) B) C) D) E) 
2. Father leaves home at 7:00 to take Lucy to school at the speed of 30km/h. He arrives 
 at 7:20 then immediately goes back home. Because it was raining, he can only travel 
 at two thirds or the original speed. When does he get back home? 
 A) 7:40 B) 7:45 C) 7:50 D) 7:55 E) 8:00 
3. Refer to the pattern below, how many  are there in the 7th group? 
     
    
  
    
     
  
     
  
  
    
     
 1st Group 2nd Group 3rd Group 4th Group 
 A) 36 B) 30 C) 24 D) 42 E) 18 
 1 
 FERMAT Mathematical Olympiad Summer 2021 
 All materials on the test are copyrighted and owned by Fermat Education 
 9. Jamie has three times as many shirts as pants. Kellie has twice as many pants as shirts. 
 They have 17 clothing items in total. How many shirts do they have altogether? 
 A) 9 B) 8 C) 7 D) 6 E) 5 
10. A clothing store represents their sale in 4 weeks by the pie chart below. The sale in 
 week 1 is the greatest and it reaches $1200. The sale in week 2 is equal to the sum of 
 both week 3 and week 4. Find the sale in week 3, given that it is not the lowest. 
 Clothing Sales 
 20% 
 40% 
 A) $900 B) $1000 C) $800 D) $600 E) $300 
 C. Challenge (8 points per question / No points deducted for wrong answers) 
 11. A, B, C, D and E are sitting on a bench. In which position is D sitting? Given that: 
 A is sitting next to B to the right 
 E is on the left end of the bench. 
 C is sitting next to D but not A, E or B 
 A) Between B) Between C) Between D) Between E) Between 
 C and A C and B A and E E and C A and E 
 12. Nine identical blocks of woods are combined to get the cube with surface area 
 486cm2. Find the surface area of one block of wood. 
 A) 81cm2 B) 54cm2 C) 126cm2 D) 163cm2 E) None of the above 
 3 
 FERMAT Mathematical Olympiad Summer 2021 
 All materials on the test are copyrighted and owned 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. There are 2022 people forming a straight line. Each of them is either a truth-teller 
 (who always tells the truth) or a liar (who always tell lies). Each person says: 
 “There are more liars in front of me than truth-tellers behind me.” 
 How many truth-tellers are there in the line? 
 ______________________________________________________________________ 
 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