Đề thi FMO vòng chung kết quốc tế 2022 Khối 7 (Kèm đáp án)

 FMO – Grade 7 
 A. Warm-up (3 points per question / No points deducted for wrong answers) 
1. A book club has a percentage by career of its members as shown in the pie chart 
 below. If there are 22 students in the book club, how many members of the book club 
 are journalists? 
 Percentage by career in a book club 
 18% Novel writer
 16% Translator
 Reviewer
 19%
 Journalist
 36%
 Student
 A) 72 B) 38 C) 16 D) 36 E) 32 
2. Luna had her 12th birthday on Sunday, October 2022. Which day of the week will be 
 her 19th birthday? 
 A) Friday B) Saturday C) Sunday D) Monday E) Tuesday 
3. A ribbon has drawings of animals. A piece of the ribbon is as below. Counting from 
 left, the 2022nd drawing is crab. Which is the 10th drawing counting from the left? 
 A) B) C) D) E) 
4. How many 2-digit prime numbers whose difference between 2 digits is also a prime ? 
 A) 8 B) 9 C) 10 D) 11 E) 12 
5. A bag of 8 apples costs 12 dollars and a box of 5 mangoes costs 8 dollars. Customers 
 can buy only a whole number of bags and boxes. One day, a restaurant buys exactly 
 34 fruits in total. How much money did they spend? 
 A) $40 B) $48 C) $36 D) $64 E) $52 
 1 
FERMAT Mathematical Olympiad Summer 2022 
All materials on the test are copyrighted and owned by Fermat Education 
 B. Speed-up (4 points per question / No points deducted for wrong answers) 
11. The number of Kaya’s clothing items are recorded in the graph below. Given that she 
 can either wear a dress or mix a T-shirt with a pair of shorts or a pair of jeans. Kaya 
 wants to wear a different outfit every day. At most how many days can she do that? 
 A) 1400 B) 77 C) 26 D) 490 E) 105 
12. One of the faces of a cuboid has area 27cm2. Another face of the cuboid has area 
 32cm2. If the volume of the cuboid is 144cm3, find the total surface area of the cuboid. 
 A) 60cm2 B) 198cm2 C) 120cm2 D) 88cm2 E) 166cm2 
13. How many odd numbers in the first 2023 numbers of the sequence below? 
 1, 1, 2, 3, 5, 8, 13, 21,  
 A) 674 B) 1350 C) 1349 D) 675 E) 1348 
14. Henry has a square piece of paper. He folds it twice along the dashed lines and cuts 
 the paper as in the picture below. How many pieces will he get after opening it? 
 A) 9 B) 16 C) 14 D) 10 E) 12 
 3 
FERMAT Mathematical Olympiad Summer 2022 
All materials on the test are copyrighted and owned by Fermat Education 
20. In the figure below, two pairs of identical isosceles right triangles are cut from square 
 ABCD, leaving rectangle MNPQ. The total area cut off is 200m2. Find the length of MP. 
 A) 40m B) 25m C) 15m D) 10m E) 20m 
 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. 
21. The sum of digits from 2021 to 2023 is as follows: 
 2 + 0 + 2 + 1 + 2 + 0 + 2 + 2 + 2 + 0 + 2 + 3 = 18 
 Find the sum of all digits from 1 to 2023. 
 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