Berikut ini soal dan kunci jawaban Fermat Mathematical Olympiad grade 5. Sumber soal diambil dihalaman Facebook FMO. Semoga bermanfaat

1. Which number should be filled into the cell with question mark?

A. 13

B. 4

C. 14

D. 16

E. 15

2. Teacher asks students to paint over all cells with values greater than 0.5. Which answer below fits the requirement?

A.

B.

C.

D.

E.

3. A rabbit needs to find the carrot. He cannot pass through cells blocked by rocks and each cell should be stepped on at most once. How many different ways are there?

A. 2

B. 4

C. 5

D. 6

E. 7

4. Justin has a square piece of paper. He folds the paper twice and cuts it as in the picture. After cutting the paper, how many square pieces can Justin create?

A. 0

B. 1

C. 3

D. 4

E. 5

5. Robbie has two ropes of length 1dm and two ropes of length 7cm. He joins some of the ropes together. Which length below he CANNOT make?

A. 17 cm

B. 14 cm

C. 24 cm

D. 27 cm

E. 15 cm

6. Which shaded region below has the greatest area?

A.

B.

C.

D.

E.

7. A bookstore keeps track of their sales of black pens and blue pens in 3 days. Given that the number of blue pens sold in day 3 doubles the number of blue pens sold in day 1. How many pens are sold in day 1 altogether?

A. 80

B. 100

C. 120

D. 140

E. 160

8. Turtle and rabbit joins a relay race. Turtle starts at 07:15. He runs half of the path then gives the baton to the rabbit. The rabbit runs 4 times as fast as the turtle and crosses the finish line at 07:35. When does turtle give the baton to the rabbit?

A. 07 : 31

B. 07 : 20

C. 07 : 29

D. 07 : 19

E. 07 : 30

9. The chart below shows the Math scores of Class 5A. Students who get more than 8 points will be awarded. How many students are rewarded in Class 5A?

A. 19

B. 10

C. 20

D. 12

E. 6

10. Grandma had a square piece of land with area 100m2. Then she sold a small square piece of land with area 25m2 as in the figure. What is the perimeter of the land after one part being sold?

A. 50 m

B. 60 m

C. 70 m

D. 55 m

E. 65 m

11. Peter has identical puzzle pieces (figure A). He tries to fit the pieces into a picture (figure B). At least how many squares are left without being covered in figure B?

A. 0

B. 1

C. 2

D. 3

E. 4

12. They can use 8 planks to make one pen for a goat. If they want to make four pens for four goats, at least how many planks do they need to use?

A. 32

B. 22

C. 18

D. 21

E. 20

13. Refer to the pattern below. How many cells are not shaded in the \(15^{th}\) figure?

A. 960

B. 700

C. 1000

D. 800

E. None of the above

14. Mr. Smith came to the airport at 10:35 and saw the departure time of his flight in the schedule below. Given that his flight number contained a 4-digit natural number divisible by 4 and his gate number was even. How many minutes did he have to wait until his flight?

A. 195 min

B. 95 min

C. 135 min

D. 165 min

E. 175 min

15. A firefighter was standing on the middle step of a ladder. Then he continued to climb 6 steps to spray water on a burning house. However, the fire was spreading outward causing him to step back 10 steps. After a few minutes, he climbed again 18 steps and stood on top of the ladder. How many steps does that ladder have?

A. 27

B. 31

C. 29

D. 33

E. Non of the above

16. There are 8 people Amy, Bill, Cindy, Dan, Emma, Fred, Greg, Henry going to a meeting. In the meeting, Amy is friend with 7 people. Bill is friend with 6 people. Cindy is friend with 5 people. Dan is friend with 4 people. Emma is friend with 3 people. Fred is friend with 2 people. Greg is friend with 1 person.

How many person/people is Henry friend with?

Kunci Jawaban: