VTMO 2026 - Grade 4 - Semifinal - SET 3 - Self-study

Question 1

At bus stop P, a bus departs every 24 minutes. One bus departs at 06:06. Minh arrives at 06:40. How many minutes must he wait for the next bus?

1. 6
2. 14
3. 20
4. 24
5. 34

Question 2

Thanh writes all two-digit numbers that contain the digit 4. How many numbers does Thanh write?

1. 10
2. 19
3. 20
4. 30
5. 18

Question 3

The average of 101 consecutive even numbers is 198. What is the sum of the smallest and largest numbers?

1. 198
2. 200
3. 288
4. 396
5. 400

Question 4

TITAN organizes Mathematics Fun Day with four challenges. Completing a challenge earns its corresponding symbol V, T, M or O. Of 200 participating students, 173 receive V, 161 receive T, 145 receive M and 121 receive O. No student receives all four symbols. How many students receive both V and O?

1. 79
2. 106
3. 133
4. 94
5. 121

Question 5

Mrs Châu has 24 cakes. She wants to put them into more than one bag, with the same number of cakes in every bag. Each bag must contain more than one cake. How many different ways can she do this?

1. 4
2. 6
3. 8
4. 5
5. 7

Question 6

Teacher Tom writes the natural numbers from 1 to 100 on the board. Jerry erases every number containing the digit 4. What is the sum of the erased numbers?

1. 445
2. 580
3. 891
4. 931
5. Another answer

Question 7

In 2021, Nhi adds her current age to her father’s current age. Her father then adds Nhi’s birth year and his own birth year to that result. What result does he obtain? Use the rule: current age = current year − birth year.

1. 2021
2. 2030
3. 4042
4. 4043
5. Not enough information

Question 8

Mr Nam picks oranges and pomelos. He picks three times as many oranges as pomelos. Which number below could be the total number of fruits he picks?

1. 30
2. 35
3. 40
4. 45
5. 50

Question 9

How many odd numbers are there from 3 to 99, inclusive?

1. 98
2. 51
3. 50
4. 49
5. 48

Question 10

Thanh’s family keeps ducks and sheep. Minh counts 140 legs altogether. Which option could give the numbers of ducks and sheep?

1. 60 ducks and 10 sheep
2. 50 ducks and 15 sheep
3. 40 ducks and 16 sheep
4. 35 ducks and 18 sheep
5. 30 ducks and 20 sheep

Question 11

Which of the following expressions has an even value?

1. $1\times3\times5\times\cdots\times99$
2. $2013\times2014+2015$
3. $1\times2\times3\times\cdots\times100+101$
4. $2\times4\times6\times\cdots\times100+101$
5. $1+3+5+\cdots+99$

Question 12

The L-shaped tile shown consists of four equal squares. How many of the five shapes below can be made by joining two such tiles without gaps or overlaps? The five shapes are read from left to right.

1. 5
2. 4
3. 3
4. 2
5. 1

Question 13

The natural numbers from 1 to 2017 are arranged in columns A, B, C, D, E, F and G as shown. In which column is 2017?

1. B
2. D
3. E
4. G
5. A

Question 14

An, Bình and Châu play five rounds of a game. In each round, first place earns 5 points, second place 3 points and third place 1 point. Which total below is impossible for Bình?

1. 5
2. 15
3. 17
4. 18
5. 19

Question 15

Fill the four boxes with suitable digits so that $2023=\square\times\square\square\square$. What is the sum of the digits in the four boxes?

1. 26
2. 28
3. 22
4. 27
5. 29

Question 16

Using the digits 2, 3, 5, 6 and 7, how many two-digit numbers with distinct digits can be formed that are divisible by 3? For example, 27 has two distinct digits and is divisible by 3.

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

Question 17

Five consecutive natural numbers have sum 300. What is the smallest of them?

1. 61
2. 60
3. 59
4. 58
5. 57

Question 18

How many identical small cubes form the solid shown? Include cubes hidden from view.

1. 7
2. 8
3. 9
4. 10
5. 11

Question 19

A test has 30 questions. Nam answers 22 correctly, Bình 25, Châu 20 and Giang 27. What is the smallest possible number of questions answered correctly by all four students?

Question 20

The figure is made from small rectangles whose length is twice their width. In how many ways can one small rectangle be removed so that the perimeter of the remaining figure does not change?