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

Each side of a square handkerchief is embroidered with 8 flowers, with one flower at each corner. How many flowers are there altogether along its sides?

Đào and Hằng start with the same number of candies. Every day Đào eats 3 and Hằng eats 2. After some days, Đào has 5 left and Hằng has 13 left. How many did each have at first?

How many triangles with area greater than $4\text{ cm}^2$ can be formed using three of the nine marked points as vertices? Each small grid square has area $2\text{ cm}^2$.

Two identical squares of side 22 cm (Figures 1 and 3) overlap to form a rectangle measuring 22 cm by 30 cm (Figure 2). Find the area of their overlap, shaded grey in Figure 2, in square centimetres.

In the sequence of shapes shown, how many stars occur before the 21st shape?

A club has 21 males and 15 females. Each week 4 males and 6 females join. After how many weeks will the two numbers be equal?

The characters follow a pattern: V, T, M, O, O, V, T, M, M, O, V, T, T, M, O, V, V, T, M, O, … What is the 202nd character?

Việt, Nam, Hạnh and Phúc have 70 candies altogether. Nam, Hạnh and Phúc each have fewer candies than Việt. Nam and Hạnh have 45 candies together. Which number could be Việt’s number of candies? Each person has at least one candy.

Five students, two boys and three girls, sit in a row. How many different arrangements have all three girls between the two boys?

How many pairs of two-digit natural numbers have a difference of 50?

At first Ngọc has one red marble for every four blue marbles. She exchanges one red marble for one of Mai’s blue marbles. Afterwards, her number of red marbles is one fifth of her number of blue marbles. How many marbles did Ngọc have altogether at first?

An and Bình both travel from S to F. An follows $S\to A_1\to A_2\to F$; Bình follows $S\to B_1\to B_2\to F$. An travels 10 m farther than Bình. Using the diagram, by how many metres is $A_2F$ longer than $B_2F$?

Eight boxes each contain at least one pebble. Their numbers of pebbles are all different except for two boxes with the same number. What is the smallest possible total number of pebbles?

Tí’s four friends Sửu, Dần, Mão and Thìn hold a race. Afterwards they tell Tí:
Sửu: “Mão came first.”
Dần: “Unfortunately, I did not come first.”
Mão: “Dần won.”
Thìn: “I did not win.”
Exactly one statement is false and three are true. Who won the race?

There are 13 flowers: 5 daisies and the rest roses. Six flowers are white and the rest yellow. What is the smallest possible number of yellow roses?

A convenience store offers one full can of soft drink in exchange for three empty cans. Thanh has enough money to buy 11 cans. What is the greatest total number of cans of soft drink Thanh can get from the store using this promotion?

How many two-digit numbers have digit sum 9?

Khoa’s mother gives him some money, enough to buy 4 lollipops with 2,000 đồng left over. If his father gives him the same amount as his mother, the combined money is exactly enough for 9 lollipops. How much does one lollipop cost? Show your working.

What is the starting number in the circle? Follow the diagram: divide by 4, add 4, then multiply by 4 to obtain 80.

A bag contains red, yellow and blue balls. Exactly 3 balls are not red, 4 are not yellow, and 5 are not blue. How many balls are there altogether?