VTMO 2026 - Grade 4 - Semifinal - SET 1 - Self-study

Question 1

Mr Thanh and his wife both have two-digit ages. Reversing the two digits of Mr Thanh’s age gives his wife’s age. Which of these numbers could be the sum of their ages?

1. 99
2. 98
3. 97
4. 96
5. 95

Question 2

Nam writes all four-digit numbers satisfying both conditions: the product of the thousands digit and the hundreds digit equals the tens digit; the product of the hundreds digit and the tens digit equals the units digit. How many numbers does he write?

1. 17
2. 19
3. 20
4. 18
5. 21

Question 3

The 25 points at the left form a square grid. Two example drawings are shown to the right. How many squares have all four vertices among the 25 points and at least three of the points on each side, including the endpoints?

1. 15
2. 14
3. 17
4. 16
5. 18

Question 4

An and Bình play a game. On each turn, the loser gives the winner one card. An wins 4 turns. At the end, Bình has 2 more cards than he had at the start. How many turns did they play?

1. 6
2. 8
3. 9
4. 10
5. 12

Question 5

The notation $2^4$ means multiplying four factors of 2: $2^4=2×2×2×2=16$. What is $4^3$?

1. 12
2. 81
3. 64
4. 128
5. 27

Question 6

Which number can replace each cloud in the equation shown below? Both clouds represent the same number.

1. 2
2. 3
3. 4
4. 6
5. 9

Question 7

In the figure, how many squares contain the circled star but do not contain the cross?

1. 1
2. 11
3. 12
4. 24
5. None of these

Question 8

Find $N$: $6÷3×2+3×8÷2+24÷4×2=N$.

1. 28
2. 25
3. 16
4. 19
5. 30

Question 9

Two brothers have 40 marbles altogether. The older brother has 4 more marbles than the younger. How many marbles does the older brother have?

1. 22
2. 18
3. 20
4. 19
5. 21

Question 10

The day before yesterday was Saturday. How many days from today will it be Sunday?

1. 4
2. 5
3. 6
4. 7
5. 3

Question 11

Lan and Hùng are making cakes. Lan makes 250 cakes. If Hùng made 50 more cakes, he would have three times as many as Lan. How many cakes has Hùng made?

1. 300
2. 500
3. 700
4. 750
5. 800

Question 12

Hùng finds the sum of any five consecutive natural numbers. Giang finds the sum of another five consecutive natural numbers. Nghĩa multiplies their two results. Which number cannot be Nghĩa’s result?

1. 10 350
2. 5 100
3. 9 350
4. 12 500
5. 16 370

Question 13

Bình, Châu, Hạnh and Khang have 78 cards altogether. Each has at least one card, and no two have the same number. Bình has 37 cards, and Châu has the most. How many cards does Châu have?

1. 38
2. 39
3. 40
4. 41
5. 42

Question 14

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

1. 18
2. 21
3. 17
4. 20
5. 19

Question 15

Bình puts two identical squares and two identical rectangles into a rectangular box, leaving the shaded square-shaped gap shown. What is the area of the gap, in square centimetres? The diagram is not drawn to scale.

1. $225\text{ cm}^2$
2. $256\text{ cm}^2$
3. $196\text{ cm}^2$
4. $289\text{ cm}^2$
5. $324\text{ cm}^2$

Question 16

When $a$ is divided by 9, the remainder is 3. What is the remainder when $5×a$ is divided by 9?

1. 0
2. 3
3. 5
4. 6
5. 8

Question 17

The figure is made from two squares whose side lengths are natural numbers of centimetres. Its total area is 52 square centimetres. What is its perimeter, in centimetres?

1. 42
2. 52
3. 40
4. 30
5. 32

Question 18

The operation $\circledast$ is defined by the example $8\circledast5=8×5+8+5=53$. Find $9\circledast3$.

1. 36
2. 39
3. 42
4. 45
5. 48

Question 19

Which expression has value 17?

1. $4×5+6-3$
2. $4×5+6÷3$
3. $6÷3+5-4$
4. $3×4÷6+5$
5. $3+4×5-6$

Question 20

A teacher has a bag of blue candies and a bag of red candies, with the same number in each bag. Each student chooses one of two options: option 1, two blue and two red candies; option 2, one blue and three red candies. After everyone has chosen, only 20 blue candies remain. How many students chose option 2?