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VTMO 2026 - Grade 2 - Semifinal - SET 8 - Self-study

Question 1

Vinh’s bag contains black and white marbles. Whenever he takes 3 marbles without looking, at least one is white. Which of the following could be the contents of his bag?

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  1. 1 white, 6 black
  2. 2 white, 5 black
  3. 3 white, 4 black
  4. 4 white, 3 black
  5. 5 white, 2 black

Question 2

An follows the calculation chain shown. He cannot remember whether the second operation is ×2 or ÷2, nor whether the fourth is +14 or −14. N is a whole number. What is N?

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  1. 9
  2. 15
  3. 43
  4. 60
  5. 10

Question 3

Find the missing number in the circles.

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  1. 21
  2. 25
  3. 27
  4. 28
  5. 32

Question 4

Pi colors the letters in TITAN EDUCATION. Equal letters must have the same color, and different letters must have different colors. How many colors does Pi need?

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  1. 7
  2. 8
  3. 9
  4. 10
  5. 11

Question 5

An has 83 marbles. Bình has 15 fewer marbles than An. How many marbles do they have altogether?

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  1. 68
  2. 98
  3. 141
  4. 151
  5. 161

Question 6

Việt and Nam have 20 cards altogether. After exchanging cards, Việt has 2 more than Nam. How many cards does Việt have now?

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  1. 10
  2. 22
  3. 9
  4. 12
  5. 11

Question 7

The number 2024 is formed from the two-digit numbers 20 and 24. Dividing each by 4 gives consecutive whole numbers. How many four-digit numbers have this property? The two two-digit parts may appear in either order.

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  1. 20
  2. 21
  3. 22
  4. 42
  5. 44

Question 8

In a problem written before its planned 2024 opening, Metro Line 1 (Bến Thành–Suối Tiên) has 14 stations. A test trip from station 1 to station 14 takes 96 minutes, including equal stops at the intermediate stations. Without stops, the journey takes 12 minutes. How many minutes is each stop? Do not count waiting at the starting or ending station.

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  1. 84
  2. 6
  3. 14
  4. 7
  5. 5

Question 9

Find the pattern in the number pyramid. A, B, C represent different numbers. What is $A+B+C$?

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  1. 5
  2. 20
  3. 32
  4. 37
  5. Another answer

Question 10

Minh is 6th from the front of a line and 10th from the back. How many people are in the line altogether?

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  1. 10
  2. 13
  3. 15
  4. 16
  5. 17

Question 11

Four students guess that their teacher is 30, 37, 42 and 50 years old. The teacher says that their guesses differ from his actual age by 1, 6, 6 and 14 years, in no particular order. How old is the teacher now?

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  1. 49
  2. 44
  3. 43
  4. 36
  5. 31

Question 12

Every day, Minh eats 2 candies and Phong eats 3 candies. How many days will it take them to eat a total of 30 candies?

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  1. 6
  2. 5
  3. 10
  4. 15
  5. 8

Question 13

How many triangles are there altogether in the figure below?

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  1. 7
  2. 8
  3. 9
  4. 10
  5. 11

Question 14

Which figure should replace the question mark in the sequence?

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  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 15

The two pencils have the same length. What number should replace the question mark on the ruler?

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  1. 7
  2. 8
  3. 9
  4. 10
  5. 5

Question 16

The four numbers 2, 0, 2 and 2 are written on a sheet of paper. On each turn, choose exactly three of the four entries and increase each chosen number by 1. What is the smallest number of turns needed to make four consecutive even numbers, in any order?

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Question 17

January 2019 has 31 days. January 6, 2019 is a Sunday. How many Sundays are there in January 2019?

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Question 18

Việt thinks of a number and adds 66 to it. He then divides the sum by the original number and gets 4. What number did Việt think of?

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Question 19

Hải, Minh, Bình and An take part in a race. Before the race, they make these predictions.

Hải says, “An will not win.”
Minh says, “Hải will win.”
Bình says, “An will win.”
An says, “I will not win.”

There is exactly one winner, and exactly one prediction is correct. Who wins the race?

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Question 20

Five years from now, the sum of An’s and Bình’s ages will be three times the sum of their ages three years ago. An is 4 years older than Bình. How old is An now?

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