Question bank VTMO 2026

How many two-digit numbers have digits whose sum is 8?

Pi arranges the three cards without turning them to form the greatest possible whole number. Which order should she use?

Find $N$ if $150-24=N+100$.

Find the value of $99-89+88-78+77-67+66-56$.

Sửu can choose from four ice-cream flavors: apple, mango, orange and strawberry. Each ice cream has two different flavors. How many choices are possible? Choosing the same pair in a different order does not make a new choice.

A pet store has 30 animals: 20 white and 10 gray. Of the white animals, 7 are rabbits. Of the gray animals, 8 are not rabbits. How many rabbits are in the store?

Thanh has the cards shown. Minh shuffles them and places them face down. Thanh chooses one card at random. Which character is most likely to be chosen?

A month has five Sundays. Neither its first day nor its last day is a Sunday. What day of the week is the 20th?

Find the 10th term of the repeating sequence: $12345;\ 23451;\ 34512;\ 45123;\ 51234;\ 12345;\ldots$

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?

Find the sum of the first 21 terms of the sequence $0, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 1, 2, \ldots$.

Each shape stands for a digit. Each group on the left represents exactly one of the numbers on the right; the matching groups need not be in the same row. Different shapes or fill styles stand for different digits. What number is represented, in order, by the outline circle, outline triangle, filled circle and filled heart?

Minh stacks four boxes: yellow, blue, red and purple. The bottom box is not yellow. The blue box is not between the purple and red boxes. The purple box is between the yellow and blue boxes. The red box is above the yellow box. Give the color order from bottom to top.

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.

Different letters $V, T, M, O$ represent different digits. In the multiplication shown, $OM$ and $V 8$ are two-digit numbers. Find the greatest possible value of $V+T+M+O$.

An has three pencil boxes. First, An moves 6 pencils from box 1 to box 2, then 4 pencils from box 2 to box 3, and finally 2 pencils from box 3 to box 1. Each box now contains exactly 10 pencils. How many pencils were originally in box 1?

The bar chart shows the numbers of cards owned by Tí, Sửu, Dần and Mão, but the bars are not labelled with names. Tí has 10 more cards than Sửu. Dần does not have the fewest cards. How many cards does Mão have?

A quick-math contest has 10 multiple-choice questions. A correct answer earns 4 points; a wrong or blank answer loses 1 point. What is the least number of correct answers Thanh needs to score strictly more than 20 points?

The same shape has the same value throughout the three equations shown. Find the sum of one triangle, one square and one circle. Adjacent shapes in each row are added.

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