VTMO 2026 - Grade 3 - Semifinal - SET 5 - Self-study

Question 1

Each small square in the diagram has area $2\text{ cm}^2$. What is the difference between the area of square ABCD and the shaded area?

1. $2\text{ cm}^2$
2. $4\text{ cm}^2$
3. $6\text{ cm}^2$
4. $8\text{ cm}^2$
5. $10\text{ cm}^2$

Question 2

An’s class starts a 45-minute mathematics test at 8:30. At what time must the pupils hand in their work?

1. 8:45
2. 9:00
3. 9:15
4. 9:25
5. 9:30

Question 3

How does 85 change when the digit 2 is written immediately to its left?

1. Increases by 200
2. Increases by 20
3. Becomes 20 times as large
4. Increases by 767
5. Decreases by 20

Question 4

Lan uses three equally spaced digits to write four-digit numbers. How many such numbers are greater than 2000 and less than 2100?

1. 4
2. 6
3. 8
4. 10
5. 12

Question 5

Uncle An joins boards I, II and III with a striped 60 cm extension as shown. Board III is twice as long as board II, and board I is twice as long as board III. How long is the assembled board, in centimetres?

1. 150
2. 120
3. 90
4. 180
5. 210

Question 6

Find the difference between $2015\times1001$ and $2013\times1001$.

1. 2
2. 2013
3. 2015
4. 1002
5. 2002

Question 7

Pi thinks of a number. Multiplying it by 5 and subtracting 6 gives the same result as multiplying it by 4. What is the number?

1. 5
2. 6
3. 10
4. 24
5. 30

Question 8

Use the digits 1, 2, 3, 4 and 5 exactly once to form $UVW$ and $XY$, with all five letters representing different digits. Find the smallest value of $UVW-XY$.

1. 67
2. 69
3. 78
4. 56
5. 531

Question 9

How many triangles in the diagram do not contain the star?

1. 7
2. 10
3. 12
4. 14
5. 20

Question 10

A basket contains 10 oranges, 7 pears and 9 apples. At least how many fruits must be taken without looking to be certain of getting a pear?

1. 7
2. 9
3. 10
4. 19
5. 20

Question 11

In a fairyland, pupils learn a special operation. For example, $5\heartsuit2=5+5-2-2$. Calculate $9\heartsuit4$.

1. 5
2. 8
3. 10
4. 14
5. 18

Question 12

A teacher has 90 notebooks. She gives An 5 notebooks and Bình, Châu and Dũng 10 notebooks each. She distributes all remaining notebooks to the other pupils in the class, giving each a positive number different from the numbers given to the other remaining pupils. What is the greatest possible number of pupils in An’s class?

1. 11
2. 14
3. 15
4. 16
5. 20

Question 13

How many white squares are there on the $8\times8$ chessboard?

1. 32
2. 64
3. 26
4. 72
5. 56

Question 14

Find $N$ if $6\div3\times2+3\times8\div2+24\div4\times2=N$.

1. 28
2. 25
3. 16
4. 19
5. 30

Question 15

Pi has four rectangular wooden pieces, each measuring 5 cm by 10 cm. He joins all four to make a larger rectangle. What is the greatest possible perimeter of that rectangle?

1. 60 cm
2. 90 cm
3. 100 cm
4. 120 cm
5. Another answer

Question 16

How many faces does the solid in the diagram have altogether?

1. 6
2. 8
3. 9
4. 10
5. 12

Question 17

How many dogs are needed on the right side of the last seesaw to balance it?

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

Question 18

In the number 33543, what do the digits 3 represent, from left to right?

1. 3 thousands, 3 hundreds, 3 units
2. 3 ten-thousands, 3 thousands, 3 tens
3. 3 ten-thousands, 3 hundreds, 3 units
4. 3 ten-thousands, 3 thousands, 3 units
5. 3 units, 3 thousands, 3 ten-thousands

Question 19

The numbers 8, 13, 18, 23, 28 form an equally spaced sequence of five numbers: it starts at 8, ends at 28 and increases by 5 each time. Phong writes another equally spaced sequence starting at 11 and ending at 46. His sequence contains 32 but does not contain 24. What is the sum of the numbers he writes?

Question 20

A mason must move 87 bricks from the ground to an upper floor. On each trip he carries an odd number of bricks less than 19. What is the fewest trips needed?