VTMO 2026 - Grade 2 - Final - SET 4 - Self-study

Hạnh first writes a natural number $A$ on the board. She then writes $A-1$, $A-2$, and so on through $A-9$. Exactly one number on the board is divisible by 9. Which of the following cannot be $A$?

Place the numbers 1, 2, 3, 4, 5 into the five squares, using each exactly once. Both the vertical sum and the horizontal sum must equal 8. Which number goes in the center?

Three consecutive natural numbers have sum 33. What is the largest of the three numbers?

An uses exactly 20 matchsticks to form digits with the shapes shown below. He then adds the values of these digits. What is the greatest possible sum?

The operation $\otimes$ is illustrated by $5\otimes6=5\times6-(5+6)=19$. Calculate $9\otimes10$.

Thanh has cardboard pieces, each made from four unit squares as shown. Which of the following shapes can she make using some of these pieces, without gaps or overlaps?

After doing homework for 40 minutes, Châu looks in a mirror and sees the clock as shown. At what time did she start her homework?

The sum of Minh’s and Thanh’s current ages is 16 years. What will be the sum of their ages 3 years later?

A bus can carry 50 passengers. It starts with 14 passengers. At stop 1 it picks up 1 passenger, at stop 2 it picks up 2, at stop 3 it picks up 3, and so on. Nobody gets off. At which stop does the bus become full?

In a subtraction, the minuend is increased by 2 and the subtrahend is decreased by 1. By how much does the difference increase?

The labels “Hộp 1” through “Hộp 5” mean Box 1 through Box 5. Five boxes contain the marbles shown. In how many ways can two boxes be chosen so that they contain at least 8 marbles in total, including more than 2 white marbles?

Tom fills the $3\times3$ grid so that every row, every column and both diagonals have the same sum. Find $A\times B\times C\times D\times E\times F$.

An, Bình, Châu and Dũng are members of their school’s mathematics club. They have different ages from 9 to 12. Bình is older than Châu but younger than Dũng. Dũng is 1 year younger than An. How old is An?

Nam puts the numbers 1 through 8 in the eight small circles, using each once. The sum of the numbers on each large circle is 22. What is the sum of the two numbers in the circles marked with question marks?

Fill in the missing number in the third circle, following the pattern in the first two circles.

Today is Sunday. What day of the week will it be 18 days from today?

In the diagram, “Thỏ” means rabbit and “Nhà” means home. Peter the rabbit wants to get home as quickly as possible, moving only up or right as indicated by the arrows. Each cell shows the number of carrots collected when he visits it. What is the greatest number of carrots Peter can collect on the way home?

Khánh has a collection of 30 stickers of various sizes. This morning, Châu visits and takes 10 stickers. The next day, Châu asks for 5 more Pokémon stickers and gives Khánh some other stickers. When Khánh counts again, the number of stickers is twice the original number. How many stickers did Châu give Khánh?

Two days before yesterday was Thursday. What day is tomorrow? Write a code from 0002 to 0008, corresponding respectively to Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.

Minh’s class 2A has 27 students. At a Christmas party, Santa gives each student a random number from 1 to 27. A student whose number contains the digit 2 receives a special gift. How many students receive a special gift?