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VTMO 2026 - Grade 2 - Semifinal - SET 1 - Self-study

Question 1

Every row, column and diagonal of the grid has the same sum. What is $A$?

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  1. 22
  2. 31
  3. 72
  4. 56
  5. None of these

Question 2

The chart shows Grade 2 students’ favorite places to visit. There are 15 more students who prefer Đà Nẵng than Hải Phòng. How many prefer Hồ Chí Minh City?

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  1. 15
  2. 20
  3. 10
  4. 25
  5. 60

Question 3

Find $N$.

$N=(15+20+25+30)-(10+15+20+25)$.

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  1. 5
  2. 10
  3. 15
  4. 20
  5. 25

Question 4

What number comes next?

$50;\ 49;\ 47;\ 44;\ 40;\ \ldots$

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  1. 36
  2. 35
  3. 33
  4. 31
  5. 30

Question 5

Calculate $12+13+14+15+35+36+37+38$.

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  1. 250
  2. 160
  3. 200
  4. 240
  5. 236

Question 6

Yesterday was Saturday. What day is the day after tomorrow?

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  1. Sunday
  2. Monday
  3. Tuesday
  4. Wednesday
  5. Thursday

Question 7

The objects are placed on the scales as shown. Which object is the heaviest?

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  5. Cannot be determined

Question 8

Which card is the left-right mirror image of this card?

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Question 9

A full kettle fills 3 bottles. One bottle fills 5 glasses. How many glasses of water fill the kettle?

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  1. 6
  2. 12
  3. 10
  4. 8
  5. 15

Question 10

Two ducks and 3 cats weigh as much as 6 cats. Two ducks and 6 cats weigh as much as how many cats?

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  1. 10
  2. 9
  3. 8
  4. 7
  5. 6

Question 11

Find $N$.

$30\times N=7\times6\times5\times9$.

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  1. 42
  2. 30
  3. 45
  4. 63
  5. 53

Question 12

Hạnh uses all her square tiles to make the first arrangement. Hoa uses these same tiles to make the second arrangement. How many tiles are left over?

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  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 14

Find the missing number: $3, 11, 19, 27, 35, \square, 51, 59$.

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  1. 38
  2. 43
  3. 44
  4. 45
  5. 47

Question 15

How many three-digit odd numbers have an even hundreds digit and a tens digit of 2?

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  1. 50
  2. 20
  3. 25
  4. 10
  5. 0

Question 16

How many small cubes are in the stack? Include the hidden cubes.

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  1. 7
  2. 8
  3. 9
  4. 10
  5. 12

Question 17

A mason must carry 87 bricks from the ground to an upper floor. On each trip, he carries an odd number of bricks, fewer than 19. What is the smallest number of trips he needs?

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Question 18

Anh has 10 balls in a bag, in three colors: red, blue and yellow. Anh and Bình take turns drawing some balls and putting them back, with these results:

Anh draws 6 times and gets 5 red balls and 1 blue ball;

Bình draws 5 times and gets 3 red balls and 2 blue balls.

Finally, Châu draws 5 balls and keeps them (does not put them back). What is the greatest number of yellow balls Châu could draw, given that all three colors remain in the bag?

**Assumption for the answer:** During Anh’s turn and Bình’s turn, each ball is drawn without replacement. Only after the whole group of 6 or 5 balls has been drawn is that group returned to the bag. Use this assumption to answer.

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Question 19

In the number pyramid, each box above the bottom row contains the sum of the two boxes directly below it. What is the value of $A$?

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Question 20

A box holds four marbles numbered 1, 4, 7 and 10. Dũng takes two marbles without looking. How many different sums of their numbers are possible?

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