VIAMC 2025 Mock Test — Level 4 (Junior)

Question 1

A duck farm starts with 20 ducks. Each month, the number of ducks increases by 5 due to breeding and additional purchases. Assuming the number of ducks increases steadily according to this pattern, how many ducks will the farm have by the 10th month?



The supplied key prints correct-answer weights of 4 and 6 points. Wrong-answer and blank-answer scoring are not stated; no penalties or blank credit are inferred.

1. 65
2. 75
3. 70
4. 80

Question 2

A wooden table manufacturing workshop has received a new order. Let $x$ be the number of tables produced in a batch (unit: table). The fixed cost (rent, utilities, etc.) for each batch is 10 million VND; the production cost for each table is 1.2 million VND; and the selling price for each table is 2 million VND. Write a linear expression representing the profit (in million VND) of the workshop when $x$ tables are sold.

1. $0.8x+10$
2. $3.2x-10$
3. $0.8x-10$
4. $3.2x+10$

Question 3

Anna is trying to save money to buy a favorite toy set. Every week, Anna puts 20 dollars into her piggy bank. Currently, Anna already has 150 dollars in the piggy bank. Anna's mother promises to give Anna an additional 15 dollars each week as encouragement. Anna's goal is to have a total of 500 dollars to buy the favorite item. How many weeks will it take for her to reach her goal?

1. 5
2. 7
3. 10
4. 12

Question 4

A shop sells $x$ notebooks at 2 dollars each and charges a 1 dollar shipping fee for the whole order. How much does the buyer need to pay in total?

1. $2x+1$
2. $2x-1$
3. $x+2$
4. $x-2$

Question 5

A rectangular garden has a length of 20 meters and a width of 12 meters. In one corner of the garden, there is a rectangular fish pond measuring 6 meters by 4 meters. Next to it, there is a right triangle-shaped flower bed with legs of 6 meters each. The remaining area is paved. What is the area of the paved part of the garden?

1. $198\,\mathrm{cm}^2$
2. $172\,\mathrm{cm}^2$
3. $176\,\mathrm{cm}^2$
4. $184\,\mathrm{cm}^2$

Question 6

An only has 4 hours to schedule activities (each activity takes from 1.5 hours to 2 hours). How many activities can An do at most?

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

Question 7

The figure below is the net of which shape?

1. Cube
2. Cylinder
3. Rectangular prism
4. Truncated pyramid

Question 8

Lam is wearing a shirt with the number 2018 as shown in the picture. When he looks in the mirror, what number does he see on the shirt?

1. 5018
2. 8105
3. 8102
4. 2018

Question 9

Look at the chart and state which of the following assertions is correct:

1. Tien’s Literature score is higher than Mai’s
2. Tien’s Natural Science score is higher than Mai’s
3. Tien’s and Mai’s History scores are equal
4. Tien’s Math score is lower than Mai’s

Question 10

There are 3 individuals A, B, and C who contributed all the shares to a financial company, represented by the diagram below. What is the contribution ratio of A and B?

1. 62.5%
2. 75%
3. 25%
4. 50%

Question 11

In a meeting, there are 5 people (A, B, C, D, E) and 5 chairs arranged in a row. How many seating arrangements are possible if A and B are not allowed to sit next to each other?

1. 48
2. 96
3. 24
4. 72

Question 12

Two standard six-sided dice are rolled simultaneously. What is the probability that the sum of the numbers on the two faces is exactly 7?

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

Question 13

In an interview, three friends An, Binh, and Cuong made the following statements:
- An: “Binh is lying.”
- Binh: “Cuong is lying.”
- Cuong: “Both An and Binh are lying.”

Knowing that only one person tells the truth and the other two lie, and that truthful people always speak correctly while liars always speak incorrectly, who is telling the truth?

1. An
2. Binh
3. Cuong
4. No one

Question 14

There are 3 types of candies in a box: 5 red candies, 4 orange candies, 3 green candies. The candies are put into the box randomly, and their colors are not visible when picked out. How many candies must be picked at least to be sure to have at least 2 candies of different types (colors)?

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

Question 15

Nam took a test with 20 questions. Each correct answer earns 5 points, and each incorrect answer results in a deduction of 2 points. After completing the test, Nam scored a total of 58 points. How many questions did Nam answer correctly?

1. 12
2. 13
3. 14
4. 15

Question 16

Question 17

Question 18

Question 19

Question 20