Berikut ini adalah soal beserta kunci jawaban Fermat Mathematic Olympiad (FMO) 2021 grade 8 (Sc: Halaman facebook FMO)

1. What is the height of the table?

A. 110cm

B. 220cm

C. 60cm

D. 30cm

E. 80cm

2. Ashley arranges five puzzle pieces below to make one mathematical expression. What is its value?

A. 0

B. 5

C. 10

D. 100

E. 101

3. The figure below is comprised of 16 equilateral triangles, each with area of \(4cm^2\). Find the area of the shaded trapezium.

A. 28

B. 30

C. 32

D. 34

E. 36

4. Below are three grids that contain X’s and O’s. Find the fourth grid.

A.

B.

C.

D.

E.

5. Given the figure below with \(AB = BC =CD\) and angle \(ABC =40^0\) . Find angle ABD?

A. \(70^0\)

B. \(80^0\)

C. \(75^0\)

D. \(85^0\)

E. \(60^0\)

6. Martha writes down three two-digit integers. One is cube, one is prime and one is divisible by 15. She uses the digits 3, 4, 5, 6, 7 and 8 exactly once each. Which prime does she write?

A. 53

B. 47

C. 37

D. 73

E. 83

7. Penelope has a square piece of paper. She folds it along the dotted line three times and cuts along the red line. Finally, she receives a letter. Which letter is it?

A. A

B. M

C. W

D. H

E. X

8. Jack and Jill played a game for two people. In each round, the winner was awarded 2 points and the loser got 1 point. No rounds were drawn. Jack won exactly 5 rounds and Jill had a final score of 11 points. How many rounds did they play?

A. 5

B. 6

C. 7

D. 8

E. 9

9. The students at Webster Middle School are raising money for after-school programs.

A. June

B. July

C. August

D. September

E. October

10. The total of each row and column is given as below. What is the value of \(\triangle\)–\(\square\) +\(\bigcirc\)

A. 13

B. 14

C. 15

D. 16

E. 17

11. The water level in a port city rises and falls on a certain day as shown in the figure. For how many hours was the water level above 40 cm on that day?

A. 5

B. 5,5

C. 9

D. 9,5

E. 11

12. In the playground, they build a slide by using an inclined plane and identical cubic blocks, each of side length 30cm. All top surface of the slide is painted white as in the figure below. Find the area of the painted region in \(m^2\).

A. \(19,2m^2\)

B. \(0,84m^2\)

C. \(16,8m^2\)

D. \(1,68m^2\)

E. \(1,92m^2\)

13. David wants to complete the diagram so that each of the nine circles contains one of the digits from 1 to 9 and each contains a different digit. Also, the digits in each line of four circles must have the same total. What is X?

A. 6

B. 7

C. 8

D. 9

E. None of the above

14. Refer to the pattern below. If the figure has 50 levels, then which unit digit does the sum of all numbers end with?

A. 3

B. 5

C. 7

D. 9

E. None of the above

15. Teacher gives Mickey and Donald two square papers of \(100cm^2\) each. They arrange them like the patterns below. Given that their area difference is \(60cm^2\). Find their perimeter difference.

A. 10cm

B. 12cm

C. 14cm

D. 16cm

E. None of the above

16. Greg starts with 10 points in a riddle game. For each question, if he answers correctly, his score doubles. If he doesn’t answer, his score is added two points. If he answers wrongly, his score is added 1 point. In the end of the game, he gets 999 points. At least how many questions did he get?

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