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VTMO 2026 - Grade 4 - Semifinal - SET 11 - Self-study

Question 1

What fraction of the square is shaded?

Question illustration
  1. $\frac15$
  2. $\frac13$
  3. $\frac58$
  4. $\frac35$
  5. $\frac38$

Question 2

Five teams take part in a volleyball tournament, in which no match ends in a draw. The table shows their results after some matches; “Thắng” means wins and “Thua” means losses. How many matches has team E won?

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 0

Question 3

Mother has 6 identical cakes. What is the smallest number of equal pieces into which she must cut each cake so that all the cake can be shared equally among 8 children?

Question illustration
  1. 4
  2. 6
  3. 2
  4. 3
  5. 10

Question 4

What is the least possible number of Mondays in one year?

Question illustration
  1. 48
  2. 60
  3. 52
  4. 53
  5. 54

Question 5

The figure is formed by a rectangle and a square. What is its perimeter, in metres?

Question illustration
  1. 24 m
  2. 28 m
  3. 30 m
  4. 32 m
  5. 34 m

Question 6

The average of 11 consecutive even numbers is 20. What is the sum of the smallest and largest numbers?

Question illustration
  1. 18
  2. 20
  3. 30
  4. 40
  5. 50

Question 7

January 1 of a certain year is a Monday. An notices that the total number of days in any two consecutive months of that year is one of three consecutive natural numbers. What day of the week is December 31 of that year?

Question illustration
  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday

Question 8

Different letters represent different digits in the addition shown. The five-digit number $\overline{TITAN}$ is divisible by 8. Find $T+I+T+A+N$.

Question illustration
  1. 13
  2. 15
  3. 16
  4. 18
  5. 20

Question 9

Calculate $2147+3356-356-147$.

Question illustration
  1. 2024
  2. 5000
  3. 5001
  4. 4000
  5. 4999

Question 10

Minh joins the “9 weeks of Titan Education challenges” programme. On an outing, his class 4B stands in one line. Minh is 10th from the front and 6th from the back. How many students are in the line?

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

Question 11

Which image has exactly half of its area shaded?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E

Question 12

There are 60 chairs around a circular table. Students occupy some chairs so that each seated student has exactly one other student in an adjacent chair. What is the greatest possible number of seated students?

Question illustration
  1. 10
  2. 20
  3. 30
  4. 40
  5. 60

Question 13

How many digits are in the result of $4\times5\times10\times15\times20\times25$?

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

Question 14

A book needs 240 digits to number all its pages, starting with page 1. Pi has read through page 78. How many more pages must Pi read to finish the book?

Question illustration
  1. 36
  2. 37
  3. 38
  4. 39
  5. 40

Question 15

Replace different letters with different digits to make $A+A+B+B=16$ true. Which of the following values is impossible for A?

Question illustration
  1. A = 4
  2. A = 5
  3. A = 3
  4. A = 2
  5. A = 6

Question 16

Along each side of a square handkerchief, 8 flowers are embroidered. Each corner has one flower. How many flowers are embroidered along its sides altogether?

Question illustration
  1. 32
  2. 28
  3. 36
  4. 30
  5. 34

Question 17

Fold the cardboard net into a cube. Which three faces meet at point P?

Question illustration
  1. B E F
  2. A C F
  3. B C F
  4. A B E
  5. A B F

Question 18

Find N in $7\times6\times5\times9=30\times N$.

Question illustration
  1. 42
  2. 30
  3. 45
  4. 63
  5. 54

Question 19

In a city called “Happy Numbers” on the planet Mathematics, a special family consists of four-digit numbers whose hundreds digit is 0. Deleting the thousands and hundreds digits of each number gives a number equal to the original number divided by 301. How many members does this family have?

Question illustration
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Question 20

A group of friends has an average age of 10 years. When 15-year-old Bình joins, the average age becomes 11 years. How many people were in the group originally?

Question illustration