VTMO 2026 - Grade 3 - Semifinal - SET 6 - Self-study

Question 1

An odd two-digit number has a tens digit that is three times its units digit. Which number could it be?

1. 82
2. 62
3. 93
4. 13
5. 39

Question 2

The numbers in the tower follow a rule. Find $A+B$.

1. 65
2. 50
3. 750
4. 800
5. 850

Question 3

Four people attend a party. When they leave, each person shakes hands with each of the others exactly once. How many handshakes are there?

1. 3
2. 4
3. 6
4. 9
5. 12

Question 4

A box contains four balls coloured red, yellow, blue and black. The red ball is heavier than the yellow ball but lighter than the blue ball. The black ball is lighter than the red ball but heavier than the yellow ball. List the balls from heaviest to lightest.

1. Blue – red – yellow – black
2. Yellow – black – red – blue
3. Black – yellow – red – blue
4. Blue – red – black – yellow
5. Yellow – red – black – blue

Question 5

My older sister is 15 years old this year. Three years ago, she was twice my age. How old am I this year?

1. 9
2. 5
3. 12
4. 6
5. 7

Question 6

Hung’s mathematical thinking class starts at 14:45. The clock shows the time when the class ends. How many minutes does the class last?

1. 35
2. 40
3. 45
4. 50
5. 55

Question 7

The same shape has the same value in each equation shown. Find the value of the square.

1. 2
2. 3
3. 4
4. 5
5. 6

Question 8

Chau places the numbers 1, 2, 3, 4, 5 and 6 in the six cells shown, using each number once. Cells that share a vertex must not contain consecutive numbers. What is the largest possible number in the cell marked “?”?

1. 2
2. 3
3. 4
4. 5
5. 6

Question 9

If Pi buys 2 notebooks, he has 5,000 dong left. If he buys 3 notebooks, he is 7,000 dong short. How many dong does one notebook cost?

1. 7000
2. 10000
3. 12000
4. 14000
5. 15000

Question 10

Thanh lives on the 6th floor. He climbs 22 steps to go from the 2nd floor to the 4th floor. How many steps must he climb from the 1st floor to the 6th floor? The flights between successive floors have the same number of steps.

1. 66
2. 55
3. 44
4. 33
5. 77

Question 11

The four number blocks follow the same rule. What is the value of $N$?

1. 17
2. 15
3. 12
4. 52
5. Another answer

Question 12

A test has 15 questions. Each correct answer earns 5 points; each incorrect or unanswered question loses 5 points. If 8 or more questions are incorrect or unanswered, the total score is recorded as 0. Nam scores 25 points. How many questions did he answer correctly?

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

Question 13

An and Binh collect badges. Even if Binh receives 5 more badges, he will still have 3 fewer than An. How many fewer badges does Binh have than An at first?

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

Question 14

Five teams take part in a volleyball tournament, where matches cannot end in a draw. The table shows their results so far: “Đội” means team, “Thắng” means wins, and “Thua” means losses. How many matches has team E won?

1. 1
2. 2
3. 3
4. 4
5. 0

Question 15

Two dice are rolled at the same time. How many possible outcomes have a total of 5 dots on their upper faces?

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

Question 16

Anh, Binh and Chau live in three different houses, coloured red, blue and yellow, with house numbers 1, 8 and 23.

Anh says: “My house is not blue, and my house number is 8.”

Binh says: “My house is red, and my house number is not 8.”

Chau says: “My house number is 1, and I know that Binh’s house is red.”

Exactly one part of each person’s statement is true and the other part is false. Which option is correct?

1. Anh: blue house; Binh: number 23; Chau: yellow house.
2. Anh: red house; Binh: number 23; Chau: number 1.
3. Anh: yellow house; Binh: blue house; Chau: number 23.
4. Anh: number 8; Binh: yellow house; Chau: number 1.
5. Anh: number 1; Binh: red house; Chau: yellow house.

Question 17

This year, the sum of two brothers’ ages is 21 years. What will the sum of their ages be three years from now?

1. 23
2. 24
3. 25
4. 26
5. 27

Question 18

The picture shows two transparent square cards, each divided into a $4×4$ grid. Nhat Lam places one card over the other so that the shaded cells coincide. Which numbered cell then coincides with the cell marked A? The cards may be turned over.

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

Question 19

Dates are written as day/month/year; for example, 12 January 2020 is written 12/01/2020. A date is called “super even” when its day, month and year are all even numbers. Examples are 14/02/2020 and 20/10/2020. How many super-even dates are there in 2020?

Question 20

An fills the circles with numbers following the spiral pattern shown. What number is in the 100th grey circle?