Berikut ini adalah soal beserta kunci jawaban Fermat Mathematic Olympiad (FMO) 2021 grade 3 (Sc: Halaman facebook FMO)

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

3. Riley draws 2 squares and 7 triangles to create a rabbit as below. How many quadrilaterals are there in the figure?

A. 2

B. 3

C. 4

D. 5

E. 6

4. Anna stacks identical blocks of wood to get the figure below. How many block of wood does Anna use?

Which strip of paper has been placed on the table secondly?

A. Yellow

B. Green

C. Red

D. Blue

E. Orange

5. A school is opened from 8:00 to 18:00 during Monday to Friday, from 8:30 to 13:30 during Saturday and closed in Sunday. How many hours is the school opened in a week?

A. 50

B. 55

C. 60

D. 70

E. 65

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

8. In June, Julia wants to do a challenge during summer holiday. Every day, she either runs 3 rounds or rides her bicycle 5 rounds around the lake. Given that after one month, she has finished running 30 rounds. How many days did she ride the bicycle?

A. 20

B. 30

C. 21

D. 24

E. 22

9. Find the sum of all digits of number A.

A. 8

B. 15

C. 20

D. 18

E. 25

10. Freddy is standing at the top right corner of the maze. He wants to find a treasure by collecting all letters in order: F M O M A T H. At least how many meters does he need

to travel?

A. 16m

B. 20m

C. 19m

D. 18m

E. 17m

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. 640\(m^2\)

B. 600\(m^2\)

C. 560\(m^2\)

D. 720\(m^2\)

E. None of the above

13. Refer to the pattern below, how many white triangles are there in the \(20^{th}\) group?

A. 180

B. 190

C. 210

D. 380

E. None of the above

14. A secret agent wants to break a 6-digit code. He knows that the sum of the digits in the even positions is equal to the sum of the digits in the odd positions. Which of the following numbers cannot be the code?

A. 7*92*5

B. 275***

C. 581*2*

D. 9*85*2

E. *2*345

15. In a school class all pupils have either one or two pets. The pupils have recorded how many pets they have. Among the pupils, two have both a dog and a fish. Three of the pupils have both a cat and a dog. At least how many pupils are there in this class?

A. 8

B. 9

C. 10

D. 12

E. None of the above

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?

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