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VTMO 2026 - Grade 4 - Semifinal - SET 13 - Self-study

Question 1

In a certain year, two consecutive months have a total of 60 days. January 1 is a Sunday. What day of the week is the last day of that year? Answer codes: Sunday 001, Monday 002, Tuesday 003.

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Question 2

What is the perimeter of the figure below?

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  1. 12 cm
  2. 16 cm
  3. 18 cm
  4. 20 cm
  5. 22 cm

Question 3

Thanh chooses three numbers from the $3\times3$ table, exactly one from each row and exactly one from each column. He multiplies them together. What is the greatest possible product?

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  1. 45
  2. 162
  3. 168
  4. 105
  5. 504

Question 4

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?

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

Question 5

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?

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

Question 6

Find the area of the shaded region if each small square has area 2 square centimetres.

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  1. 15
  2. 21
  3. 20
  4. 30
  5. 28

Question 7

Let $A=2022-(135+357+579+791+20\times2\times2)$. Which of the following calculations has the same value as A?

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  1. $20+2+2$
  2. $20+2\times2$
  3. $20\times2\times2$
  4. $2\times0+22$
  5. $20\times22$

Question 8

Bình initially has some marbles. He gives Hạnh half of them. Next, he gives Khang $\frac13$ of the remaining marbles and 2 more. Finally, he gives Nam $\frac14$ of the marbles then remaining and 6 more, leaving him with none. How many marbles did Bình have initially?

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  1. 30
  2. 28
  3. 26
  4. 32
  5. 34

Question 9

If the five-digit number $2212A$ is divisible by 9, what is the digit $A$?

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  1. 5
  2. 3
  3. 9
  4. 0
  5. 2

Question 10

Each face of a cube is painted one colour. What is the smallest number of colours needed so that no two adjacent faces have the same colour?

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

Question 11

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?

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

Question 12

At the beginning and end of his lunch break, Hải sees the classroom clock in a mirror, as shown. How long is his lunch break?

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  1. 3 hours 20 minutes
  2. 3 hours 15 minutes
  3. 2 hours 20 minutes
  4. 4 hours 15 minutes
  5. 3 hours 5 minutes

Question 13

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

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

Question 14

Calculate $4\times2023+2\times2023+4\times2023$.

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  1. 20230
  2. 8092
  3. 2023
  4. 16184
  5. 2239

Question 15

The bar chart shows the numbers of perfect scores of 10 earned by classes 4A1, 4A2, 4A3, 4A4 and 4A5 in December. The horizontal grid lines are equally spaced. The five classes earned 102 scores of 10 altogether. How many did the class with the most scores of 10 earn?

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  1. 6
  2. 24
  3. 18
  4. 36
  5. 30

Question 16

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?

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

Question 17

The sum of 11 consecutive natural numbers is 352. What is the smallest of these numbers?

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  1. 27
  2. 28
  3. 29
  4. 30
  5. 26

Question 18

The sum of the digits of a four-digit number is 3. What is the product of its digits?

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  1. 0
  2. 1
  3. 3
  4. 4
  5. $1\times2\times3\times4$

Question 19

An joins six wooden pieces into the square shown: two equal large triangles, two equal medium triangles, one small triangle and one square. Find the difference between the sum of the perimeters of all six pieces and the perimeter of the assembled square. The marked side of a large triangle is 10 cm.

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  1. 70 cm
  2. 90 cm
  3. 80 cm
  4. 100 cm
  5. 60 cm

Question 20

The large square below is divided into three rectangles of equal area. The total area of the small shaded rectangles is $13\text{ cm}^2$. Find the total unshaded area of the large square.

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