Fermat Mathematical Olympiad FMO is an annual competition developed and held by Fermat Education – an authorized Vietnamese organization board of many international Olympiad competitions. FMO is a mathematical playground for students from Kindergarten to high schoolers. Unlike other Mathematical Olympiad competitions, which have many difficult problems requiring complicated calculations or various formulae to be solved, FMO 2022 focuses on how students read, understand, and analyze the problems. As a friendly, accessible, and suitable competition for the majority of students, the examination questions of FMO 2022 will be arranged in increasing difficulty and composed relatively close to the curriculum framework. The tedious knowledge in textbooks is now vividly illustrated, thought-provoking, and in specific real-life settings. Students participating in FMO 2022 will be provided an opportunity to review the prior knowledge in a new approach, cultivate their passion for Mathematics and challenge themselves with real-world problems. Any student can participate in FMO 2022. as long as they have an interest in Mathematics and adequate basic mathematical knowledge. Ultimately, the purpose of this competition is to help every student answer the age-old question: “Why study Mathematics?”.

In 2022, Fermat Mathematical Olympiad FMO takes place for the third time. In the previous seasons, the competition was a great success by having attracted the attention of many students from all over the world such as Thailand, Philippines, Bulgaria, Indonesia, Turkey, India, …. Following that success, with some alterations in the examination structure and the appearance of real-life problems, together with many valuable cash prizes, FMO 2022 promises to be an educational, interesting but also challenging mathematical playground for students. This is also a great opportunity for the participants to compete on a global scale and have memorable experiences. (sc:

**Facebook Fermat Mathematical Olympiad**)**A. Warm-up**

**(4 points per question / No points deducted for wrong answers)**

1. How many apples are there on the tree?

A) 5

B) 7

C) 9

D) 10

E) 11

Answer : B

2. Help Peter finish his painting.

A)

B)

C)

D)

E)

Answer : A

3. How many types of fruits are there in the picture?

A) 3

B) 4

C) 5

D) 6

E) 7

Answer : B

4. There is a long queue of people waiting to get in the library. How many people does Candace have to wait until her turn?

A) 4

B) 5

C) 6

D) 7

E) 8

Answer : D

5. According to the pattern shown below, which animal is hiding in the box?

A)

B)

C)

D)

E)

Answer : C

**B. Speed-up**

**(6 points per question / No points deducted for wrong answers)**

6. How many triangular pieces does Donald need to get the butterfly below?

A) 2

B) 5

C) 4

D) 7

E) 6

Answer : E

7. The number of stuffed animals of five children is recorded in the following table. Who has the most stuffed animals?

A) Sara

B) Billy

C) Jess

D) Paul

E) Linda

Answer : D8.

A) $12

B) $8

C) $10

D) $6

E) $14

Answer : A

9. Connect these animals with their shadows. Which road junction is correct?

A)

B)

C)

D)

E)

Answer : D

10. If 3 days after tomorrow will be Wednesday. Which day of the week was yesterday?

A) Wednesday

B) Thursday

C) Monday

D) Sunday

E) Friday

Answer : E

**C. Challenge**

**(8 points per question / No points deducted for wrong answers)**

11. Tom has more candies than his sister, Anna. How many candies does Tom

need to give Anna so that they have the same number of candies?

need to give Anna so that they have the same number of candies?

A) 1

B) 2

C) 3

D) 4

E) 5

Answer : C

12. Anna tries to arrange two identical pieces to get the shapes below. Among the given shapes, at most how many shapes can be created by Anna?

A) 1

B) 2

C) 3

D) 4

E) 5

Answer : D

13. A cat is wandering in the garden. On the way, she sees 4 different animals and their number of legs are 2 –> 0 –> 8 –> 6 respectively. Which figure below is the cat’s path?

A)

B)

C)

D)

E)

Answer : A

14. By putting two coins in the arcade machine, Lucy can play in 12 turns. With

three coins, how many turns can Lucy play?

three coins, how many turns can Lucy play?

A) 15

B) 13

C) 18

D) 20

E) 14

Answer : C

15. Five friends were in a pumpkin carving contest. For each pumpkin, the contestant got 1 mark on the scoreboard below. There was a prize for two people who carved the most pumpkins. How many pumpkins did two winners carve in total?

A) 15

B) 10

C) 17

D) 20

E) 18

Answer : E

**D. Star of hope**

**(10 points per question/ 10 points deducted for wrong answer)**

In this part, you should write your answer on the answer sheet.

16. Tom has 25 bottles of milk to drink, starting from a Wednesday. Given that he drinks a bottle per day, except for every Sunday when he is allowed to drink three bottles. Which day of the week does he run out of milk?

Answer : Sunday

**FERMAT Mathematical Olympiad Summer 2021**

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