VTMO 2026 - Grade 3 - Final - SET 1 - Self-study

Calculate $10-(9+8)+(8+7)-(7+6)+(6+5)-(5+4)+(4+3)-(3+2)+(2+1)$.

A square is extended 4 cm upwards and 15 cm to the right, as shown. The resulting rectangle has perimeter 102 cm. What is the area of the original square, in square centimetres?

A pet shop has 30 animals, all white or gray. Of the 20 white animals, 7 are rabbits. Among the gray animals, 8 are not rabbits. How many rabbits are in the shop?

A belt runs around five wheels in the directions shown. How many wheels turn clockwise?

A quick mathematics contest has 10 multiple-choice questions. Each correct answer earns 4 points; each wrong or blank answer loses 1 point. What is the fewest questions Thanh must answer correctly to score more than 20 points?

Bình follows the operation chain shown. He cannot remember whether the second operation is multiplying by 2 or dividing by 2, or whether the fourth is adding 14 or subtracting 14. What is the natural number N?

An, Bình and Châu play five games. In each game, first place earns 5 points, second earns 3 points and third earns 1 point. Which of the following totals is impossible for Bình after all five games?

The letters V, T, M and O stand for different digits in the multiplication shown. What is the smallest value of $V+T+M+O$?

A stationery shop offers pencils at these prices: one for 3,000 đồng, two for 5,000 đồng, or five for 9,000 đồng. Pi has 53,000 đồng. What is the greatest number of pencils Pi can buy?

Thirty-nine students answer a survey about football and swimming. Twenty like football, twenty-six like swimming, and three like neither sport. How many like swimming only?

A bag contains two blue pebbles and one red pebble. An and Bình each take exactly one pebble without looking and without replacing it. After looking at his own pebble, An says, “I know the colour of your pebble!” What colour did each child take? Explain your reasoning.

Tom writes the numbers from 1 to 30 on a board. Jerry erases all the even numbers. What is the last digit of the product of the remaining numbers?

Eight cards are numbered 1, 2, 3, 4, 5, 6, 7 and 8. An, Bình and Châu each draw two cards.

• Bình: one number is twice the other.
• Châu: the two numbers sum to 9.
• An: the two numbers sum to 7, but their difference is not 3.

Which two cards remain?

Five children start with 70, 62, 47, 67 and 54 marbles. Each game has two players, and the winner receives one marble from the loser. What is the smallest number of games needed for all five children to have equal numbers of marbles?

A square and a rectangle are joined as shown. The square has perimeter 40 cm and the rectangle has perimeter 70 cm. Find the perimeter of the combined shape, in centimetres.

Pi is thinking of a four-digit natural number. One of its digits is 1. Its hundreds digit is three times its thousands digit, its units digit is four times its tens digit, and its thousands digit is 2. What is the sum of its digits?

A square is divided into two rectangles as shown. The sum of their perimeters is 30 cm. What is the area of the square, in square centimetres?

Châu has 64 identical cubes. Each cube has its six faces labelled with the different numbers 1, 2, 3, 4, 5 and 6. Three views of a cube are shown. Châu assembles them into a $4×4×4$ cube. What is the smallest possible sum of all the numbers on its six outside faces?

A library has two shelves of books for Grade 3. Class 3A borrows one third of the books on the first shelf, and class 3B borrows one fifth of the books on the second shelf. Each class borrows 30 books. How many books were on the two shelves altogether at first?

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