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Southeast Asian Mathematical Olympiad 2021 Paper A

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1. Find the sum of

11 + 12 + 13 + ⋯ + 17 + 18 + 19 (A) 120

(B) 125 (C) 130 (D) 135 (E) 140

3. Find the missing numbers 𝑚 and 𝑛.

(A) 7 and 8 (B) 8 and 9 (C) 8 and 8 (D) 7 and 9 (E) 10 and 3 2. Find the number of cubes in the figure

below.

(A) 12 (B) 13 (C) 14 (D) 15 (E) 16

4. This year, Grandpa is 56 years old, Dad is 31 years old, and I am 7 years old.

In how many years will the sum of our ages be 100?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5 QUESTIONS 1 TO 10 ARE WORTH

3 MARKS EACH

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5. Find the missing number.

2, 2, 4, 6, 10, 16, ( ), 42 (A) 24

(B) 25 (C) 26 (D) 28 (E) 30

7. Wattaria is putting coins along the 3 sides of the triangle, such that there are 6 coins on each side of the triangle.

How many coins are there in total? Use the figure provided to help you.

(A) 15 (B) 16 (C) 17 (D) 18 (E) 19 6. Which of the following comes next?

(A)

(B)

(C)

(D)

8. There are 18 children in a party. Each girl gets 5 balloons, while each boy gets 3 balloons. If 72 balloons are given out in all, how many boys are there?

(A) 6 (B) 7 (C) 8 (D) 9 (E) 10

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9. Fill in each circle with a number from 2, 5, 6 and 7, such that the sum of the 3 numbers along each line is 18.

What is 𝑋?

(A) 2 (B) 5 (C) 6 (D) 7

(E) None of the above

11. How many triangles are there in the figure below?

(A) 14 (B) 15 (C) 16 (D) 17 (E) 18

10. Postman Pat is delivering a parcel from Point 𝐴 to Point 𝐵, where his movements can only be in the directions → and ↑ . How many different paths can he take?

(A) 33 (B) 34 (C) 35 (D) 36 (E) 40

12. Susan adds up 8 of the following numbers. Given that the result is 400, which number did she leave out?

(A) 75 (B) 16 (C) 64 (D) 78 (E) 29

QUESTIONS 11 TO 20 ARE WORTH 4 MARKS EACH

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13. Today is Monday, the 9th of August.

On which day of the week is the 9th of September?

(A) Tuesday (B) Wednesday (C) Thursday (D) Friday (E) Saturday

16. Perimeter is defined as the total length of the outline of a shape.

For example, in the following figure, 5 cm

3 cm

The perimeter of the rectangle is 5 × 2 + 3 × 2 = 16 cm Find the perimeter

4 cm

7 cm (A) 21 cm

(B) 22 cm (C) 24 cm (D) 26 cm (E) 28 cm 14. Lily wrote the following on a piece of

paper

1   2   3   4   5   6   7   8   9   1  0      1 1   1  2 … 7  8   7  9.

How many digits did she write altogether?

(A) 130 (B) 132 (C) 140 (D) 145 (E) 149

15. Find the missing number.

41 23 13

42 ?

17. Find the sum of first 42 numbers in 2,    4,    6,    2,    4,    6,    2,    4,    6,   … (A) 168

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18. What comes next?

(A) 11.45 a.m.

(B) 11.50 a.m.

(C) 10.50 a.m.

(D) 11.00 a.m.

(E) 10.55 a.m.

20. Given that the digits R, I, C and E are all odd, what is the value of C?

E C E I C E + R I C E G G G G (A) 1

(B) 3 (C) 5 (D) 7 (E) 9

21. Find the sum of the 9th row in the number pyramid below.

1 + 2 + 1 = 4 1 + 2 + 3 + 2 + 1 = 9 1 + 2 + 3 + 4 + 3 + 2 + 1 = 16 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 25

… 19. Mummy gave Mink some money.

Mink spent $5.00 on a book. Her father gave her another $10.00.

After paying $2.50 for a drink and

$1.70 for some fries, she was left with $23.80. How much did Mummy give Mink at first?

(A) $21.80 (B) $22.00 (C) $22.50 (D) $22.80 (E) $23.00

22. Find the mass of one apple in grams.

QUESTIONS 21 TO 25 ARE WORTH 6 MARKS EACH

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23. How many 4-digit numbers can be formed using the digits 0, 1, 2 and 3 without repeating any of the digits?

24. How many dots are there in the 10th pattern?

(1) (2)

(3) (4)

25. In Mathematics,

𝑎2 = 𝑎 × 𝑎 𝑎3 = 𝑎 × 𝑎 × 𝑎 𝑎4= 𝑎 × 𝑎 × 𝑎 × 𝑎

Find the difference between 25 and 33. End of Paper

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SEAMO 2021

Paper A – Answers Multiple-Choice Questions

Questions 1 to 10 carry 3 marks each.

Q1 Q2 Q3 Q4 Q5

135 14 8 and 9 2 26

Q6 Q7 Q8 Q9 Q10

15 9 7 35

Questions 11 to 20 carry 4 marks each.

Q11 Q12 Q13 Q14 Q15

14 29 Thursday 149 24

Q16 Q17 Q18 Q19 Q20

22 168 10.50 a.m. $23.00 7

Free-Response Questions

Questions 21 to 25 carry 6 marks each.

21 22 23 24 25

100 60 18 55 5

Referensi

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