Berikut ini adalah soal beserta kunci jawaban Fermat Mathematic Olympiad (FMO) 2021 (Sc: Edukultur Indonesia)

**A. Warm-up (4 points per question / No points deducted for wrong answers)
**

1. One car has 4 wheels. How many wheels do two cars have in total?

A) 2

B) 8

C) 4

D) 6

E) 12

Answer : B

2. Find the missing piece.

A)

B)

C)

D)

E)

Answer : C

3. Ken connects each animal with its shadow as in the figure below. How many

of them are WRONG?

A) 1

B) 3

C) 5

D) 2

E) 4

Answer : B

4. There is a queue of 20 people waiting to get in the restaurant. There are 10

people behind Anna. How many people does Anna have to wait until her

turn?

A) 11

B) 8

C) 4

D) 7

E) 3

Answer : D

5. The numbers of stuffed animals of five children are recorded in the following

table. How many stuff animals does Paul have more than Sara?

A) 5

B) 11

C) 4

D) 7

E) 3

Answer : E

**B. Speed-up (6 points per question / No points deducted for wrong answers)
**

6. How many circles are there in the figure below?

A) 7

B) 6

C) 9

D) 8

E) 10

Answer : D

7. Peter draws a sequence with pattern as follow. How many are there in

the first 11 figures counting from the left?

A) 11

B) 6

C) 8

D) 7

E) 9

Answer : C

8. A pencil costs 2 dollars. If you buy 4 pencils, you get 1 eraser for free. Lucy

got 2 erasers for free, at least how much did she pay for the pencils?

A) $12

B) $8

C) $10

D) $16

E) $18

Answer : D

9. Lucy has a sticker. She can cut her sticker into two identical pieces below.

Which answer CANNOT be the shape of Lucy’s sticker?

A)

B)

C)

D)

E)

Answer : E

10. There are 12 books on 3 shelves as below. At least how many books have to

be moved so that the number of books on every shelf is the same?

A) 5

B) 1

C) 2

D) 4

E) 3

Answer : E

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

11. It is Wednesday on 15th December 2021. Which day of the week does the

Christmas this year fall on?

A) Friday

B) Thursday

C) Saturday

D) Wednesday

E) Sunday

Answer : C

12. When Fred was born, his mother was 30 years old. His sister was born 4

years after Fred was born. His father is 5 years older than Fred’s mother.

When Fred’s father is 65 years old, how old is Fred’s sister?

A) 34

B) 20

C) 25

D) 26

E) 35

Answer : D

13. Jennie stacks bricks to get a tower. If she makes a 4-level tower, she will

need 10 bricks. If she makes a 5-level tower, she will need 15 bricks. How

many bricks does she need if she makes a 6-level tower?

A) 19

B) 21

C) 20

D) 22

E) 18

Answer : B

14. Given that each figure appears once in every row or every column. Choose a

figure to fill in the cell with question mark.

A)

B)

C)

D)

E) No possible answer

Answer : A

15. By putting two coins each time in the arcade machine, Lucy can play in 12

turns. She wants to play 50 turns. At least how many coins should she buy?

A) 6

B) 38

C) 62

D) 4

E) 5

Answer : A

**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. On Halloween day, the school gave each student the same number of

pumpkins that needed to be carved. For every 2 pumpkins carved, the student

received one mark on the chart below. Derrick had finished carving so he

stopped. Based on the chart, how many more minutes did it take Monica until

she finished carving given that each pumpkin took her 10 minutes?

Answer : 80