VTMO 2026 - Grade 2 - Final - SET 7 - Self-study

The picture shows a cube and five cardboard shapes. Which shape cannot be folded into a cube?

Place the digits 2, 3, 4 and 5 in the four boxes, using each digit exactly once. The boxes form two two-digit numbers. What is the greatest possible sum?

The numbers 122 and 302 are examples of three-digit numbers whose digits sum to 5. How many three-digit numbers have digit sum 5?

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?

Half the length of a blue ribbon is 2 cm longer than one-third the length of a yellow ribbon. The yellow ribbon is 6 cm longer than the blue ribbon. How long is the blue ribbon, in centimetres?

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

Six people are in a room. Each person shakes hands with every other person exactly once. How many handshakes are there?

Use the same number rule in all three triangles. What is X?

In the sequence of pictures shown, how many stars occur before the 21st picture?

The total age of the two siblings An and Bình is now 16 years. In how many years will their total age be 30 years?

November has 30 days and December has 31 days. In a certain year, November 1 is a Sunday. What day of the week is December 1 that year?

Complete the grid so that each of the numbers 1, 2, 3 and 4 appears exactly once in every row and every column. What number goes in the bottom-right cell marked with a question mark?

Initially, tank A contains three times as much water as tank B. After 6 litres are added to A and 7 litres to B, A contains twice as much water as B. How many litres were initially in A?

A basket contains 10 oranges, 7 pears and 9 apples. What is the smallest number of fruits that must be taken without looking to guarantee that at least one is a pear?

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?

There are 13 flowers. Five are chrysanthemums and the rest are roses. Six flowers are white and the rest are yellow. What is the greatest possible number of yellow roses?

How many squares in the grid contain the letter A? Count squares of every size whose sides follow the grid lines.

Eight cards are numbered 1 through 8. An, Bình and Châu each draw two cards, without reusing a card. An’s two numbers sum to 7, but their difference is not 3. One of Bình’s numbers is twice the other. Châu’s numbers sum to 9. Which two cards remain? Give the two numbers in either order.

A digital clock displays times from 00:00 to 23:59. How many times in one day does its display contain exactly one digit 0, two digits 2 and one digit 4?

Đào and Hằng start with the same number of candies. Each day Đào eats 3 candies and Hằng eats 2. After some days, Đào has 4 candies left and Hằng has 9. How many candies did each girl have at first?