VTMO 2026 - Grade 2 - Final - SET 6 - Self-study

Bảo and Hải have 31 marbles altogether. Bảo gives Hải 5 marbles, but Hải then loses 3 marbles. They now have the same number of marbles. How many marbles did Hải have at first?

How many squares in the figure do not contain the heart?

An’s class takes a 45-minute mathematics test, starting at 8:20. At what time do the students hand in their work?

Minh eats 2 candies a day and Phong eats 3 candies a day. How many days will they take to eat 30 candies altogether?

How many two-digit numbers have digits whose sum is 10?

Dần gets home at 17:30. He rests for 15 minutes, then bathes for 30 minutes and eats for 40 minutes. He starts studying immediately afterward. At what time does he start?

What is the next number in the sequence $20,10,16,7,12,4,8,\ldots$?

Ly’s IQ2U class at TITAN starts at 15:30. The journey from her home takes 35 minutes. What is the latest time she can leave home without being late?

Hạnh writes consecutive natural numbers on the board. Exactly 8 of them are divisible by 6. What is the greatest possible number of numbers she writes?

Choose the next five pictures in the sequence shown. An open circle and a filled circle are different pictures.

Phương has 14 pencils. After she gives Châu 2 pencils, they have equal numbers of pencils. How many pencils did Châu have at first?

Dũng, Hồng and Châu are former classmates. One is a lawyer, one a teacher and one a doctor. Dũng is older than the lawyer. Hồng is not the same age as the teacher. The teacher is younger than Châu. What is Châu’s job? Enter 0001 for lawyer, 0002 for teacher or 0003 for doctor.

The numbers 1 through 9 are placed in the $3\times3$ grid, each exactly once, so that every row, every column and both diagonals have the same sum. Four numbers are already given. Find $X$.

An and Bình start at $S$ and finish at $F$. An follows $S\to A_1\to A_2\to F$; Bình follows $S\to B_1\to B_2\to F$, along the rectangle shown. An walks 10 m farther than Bình. How many meters longer is $A_2F$ than $B_2F$?

A teacher has enough candies to share equally among 4 pupils. When 2 more pupils join, he shares all the candies equally among everyone, and each pupil receives 3 fewer candies than originally planned. How many candies are there?

Different letters $C,A,R,T$ stand for different digits in the addition shown. Given $T=0$ and $A$ is odd, find $C$.

A test has 15 multiple-choice questions. A correct answer earns 4 points, a wrong answer loses 1 point, and a blank answer earns 0. An answers 8 correctly, 6 wrongly and leaves 1 blank. Khang has the same score and answers 7 correctly. How many questions does Khang leave blank?

On a Grade 3 class outing, all the pupils stand equally spaced around a circle and are numbered clockwise. Minh is number 6 and stands opposite number 14. How many pupils are on the outing?

Giang has a machine with two buttons: one adds 1 to the current number and the other multiplies it by 2. The display starts at 1. What is the fewest button presses needed to display 1000?

Minh is now 12 years old. Two years ago, Minh was twice as old as Sơn. How old is Sơn now?