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VTMO 2026 - Grade 4 - Semifinal - SET 12 - Self-study

Question 1

Châu receives 225 000 đồng from selling 3 identical boxes of cakes. Today she receives 900 000 đồng from selling some boxes at the same price per box. How many boxes did she sell?

Question illustration
  1. 10
  2. 9
  3. 12
  4. 15
  5. 18

Question 2

One of An, Bình, Châu and Dũng broke bác Ba’s window while playing football. An says, “Bình broke it.” Bình says, “Dũng broke it.” Châu and Dũng each say, “I did not break it.” Exactly one of the four children tells the truth. Who broke the window?

Question illustration
  1. An
  2. Bình
  3. Châu
  4. Dũng
  5. Not enough information

Question 3

A tap is opened at 10:10 in the morning. It takes 4 hours 55 minutes to fill the tank. At what time should the tap be closed?

Question illustration
  1. 14:55
  2. 14:05
  3. 14:10
  4. 15:55
  5. 15:05

Question 4

An, Bình and Châu have 90 marbles altogether. An gives Bình 12 marbles, Bình gives Châu 13 marbles, and Châu gives An 5 marbles. They then have equal numbers of marbles. How many did An have at first?

Question illustration
  1. 34
  2. 35
  3. 36
  4. 37
  5. 38

Question 5

Five identical rectangular bricks are joined as shown. Each brick has perimeter 24 cm. Find the perimeter of the whole figure.

Question illustration
  1. 64 cm
  2. 68 cm
  3. 60 cm
  4. 120 cm
  5. 160 cm

Question 6

The time is now 3:47, and the sum of the displayed digits is $3+4+7=14$. At least how many minutes must pass before the displayed digits have sum 20?

Question illustration
  1. 42
  2. 132
  3. 192
  4. 251
  5. 301

Question 7

My older sister is 15 years old now. Three years ago she was twice my age. How old am I now?

Question illustration
  1. 5 years
  2. 6 years
  3. 7 years
  4. 9 years
  5. 12 years

Question 8

Fill in the missing number. All four diagrams follow the same rule.

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

Question 9

Four black boxes followed by four white boxes are arranged as shown. In one move, An swaps two adjacent boxes. What is the fewest moves needed to make the colours alternate?

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

Question 10

Quang brings money to buy notebooks. If he buys 9 notebooks, he has 8 000 đồng left. If he buys 13 notebooks, he is short of 40 000 đồng. How much money did he bring?

Question illustration
  1. 100 000
  2. 115 000
  3. 116 000
  4. 120 000
  5. 128 000

Question 11

The numbers 2 to 10 are placed once each in the magic square. Every row, column and diagonal has the same sum. Find x.

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

Question 12

Use each of the digits 2, 3, 4, 5, 6, 7 and 8 exactly once to form the numbers $\overline{UVW}$, $\overline{XY}$ and $\overline{MN}$. What is the smallest possible value of $\overline{UVW}-(\overline{XY}+\overline{MN})$?

Question illustration
  1. 70
  2. 73
  3. 82
  4. 172
  5. 165

Question 13

A father is 36 years old and his child is 6 years old. In how many years will the father be three times as old as the child?

Question illustration
  1. 30
  2. 15
  3. 6
  4. 9
  5. 12

Question 14

The numbers 113 and 302 are examples of three-digit numbers with digit sum 5. How many three-digit numbers have digit sum 5?

Question illustration
  1. 12
  2. 13
  3. 14
  4. 15
  5. 16

Question 15

Bình was born in 1988. His daughter Châu was born in 2015. In what year will Bình’s age be four times Châu’s age? Use age as the year considered minus the birth year.

Question illustration
  1. 2026
  2. 2022
  3. 2025
  4. 2023
  5. 2024

Question 16

An has 2 more books than Bình. Bình has 3 fewer books than Châu. Dũng has 4 more books than Châu. Which statement below is NOT correct?

Question illustration
  1. Châu has 3 more books than Bình.
  2. Châu has 1 more book than An.
  3. Dũng has 7 more books than Bình.
  4. An has 1 more book than Châu.
  5. An has 5 fewer books than Dũng.

Question 17

Calculate $180-175+175-170+170-165+\cdots+110-105+105-100$.

Question illustration
  1. 180
  2. 140
  3. 100
  4. 80
  5. 40

Question 18

Which option should replace the cloud symbol in the displayed equation to make it correct?

Question illustration
  1. $+$
  2. $-$
  3. $\times$
  4. 0
  5. 1

Question 19

An alarm clock displays HH:MM from 00:00 to 23:59 and gains 5 minutes per real hour. For example, if set correctly at 00:00, it displays 01:05 at real time 01:00. At real time 00:00, what time should the clock be set to so that its 06:00 alarm rings at real time 06:00? Enter the time as four digits: for example, 5:15 as 0515 and 19:20 as 1920.

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Question 20

How many of the five figures have exactly $\frac13$ of their area shaded?

Practice assumption: in the third figure, the three horizontal bands have equal heights. This equality is suggested by the drawing but is not marked with measurements.

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