Skip to content / Đến nội dung
ThichHocToan.com

VTMO 2019 — Grade 3 — semifinal

Question 1

How many white boxes are there in the $8 \times 8$ chessboard?

Question illustration
  1. $32$
  2. $64$
  3. $26$
  4. $72$
  5. $56$

Question 2

How tall is Vy?

Question illustration
  1. $126 \,\mathrm{cm}$
  2. $138 \,\mathrm{cm}$
  3. $128 \,\mathrm{cm}$
  4. $130 \,\mathrm{cm}$
  5. $136 \,\mathrm{cm}$

Question 3

Which picture is different from the rest?

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

Question 4

At the birthday party, Thanh combines small tables into a long table as shown. If Thanh invites $20$ friends, how many small tables are needed for those friends?

Question illustration
  1. $10$
  2. $9$
  3. $11$
  4. $8$
  5. $5$

Question 5

There were $13$ passengers on a bus. At the first stop $3$ got off and $6$ got on; at the second $5$ got off and $2$ got on; at the third $3$ got off. How many remain?
  1. $10$
  2. $3$
  3. $11$
  4. $13$
  5. $16$

Question 6

Find an odd three-digit number with distinct digits, whose hundreds digit is the smallest even digit greater than $5$ and whose digit sum is $7$.
  1. $611$
  2. $610$
  3. $403$
  4. $511$
  5. $601$

Question 7

Binh adds three different two-digit numbers. What is the largest possible sum?
  1. $294$
  2. $297$
  3. $299$
  4. $279$
  5. $298$

Question 8

Thanh’s family travels to Nha Trang, leaving at $10$ a.m. Friday, staying two nights and returning at $6$ p.m. Sunday. How many hours does the trip take?
  1. $44$
  2. $48$
  3. $52$
  4. $56$
  5. $68$

Question 9

Given the shape equations in the diagram, find the value of the square.

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

Question 10

Which card below is the mirror image of the card on the right?

Question illustration

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

Question 11

At most how many points can a circle intersect a triangle’s boundary?
  1. $2$
  2. $3$
  3. $4$
  4. $5$
  5. $6$

Question 12

How many triangles are in the figure below?

Question illustration
  1. $6$
  2. $7$
  3. $8$
  4. $9$
  5. $10$

Question 13

How many three-digit numbers less than $319$ have all digits odd, such as $135$ or $151$?
  1. $30$
  2. $35$
  3. $33$
  4. $34$
  5. $29$

Question 14

Pi creates the cube arrangements shown. How many small cubes does the eighth arrangement need?

Question illustration
  1. $18$
  2. $38$
  3. $49$
  4. $64$
  5. $81$

Question 15

When viewed from the back, what does the block on the right look like?

Question illustration

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

Question 16

School A rings every $30$ minutes and school $B$ every $35$ minutes. Both ring at $8 : 00$. At what time will they next ring together?

Question 17

Khang is shorter than Tung. Minh is taller than Long and Tung. Khang is shorter than Long but taller than Duy. Who is the shortest?

Question 18

The solid below consists of six small cubes. How many small-cube faces on its exterior must be painted?

Question illustration

Question 19

The total number of candies of $3$ friends An, Binh and Chau is $50$ tablets. The total number of candies of Binh and Chau is $8$ tablets. The number of candy of Binh is more than Chau $5$ tablets. So, how many candies of An more than that of Chau?

Editorial translation of the Vietnamese source: Binh and Chau together have $8$ more candies than An; the other data are as above.

Question 20

Different letters represent different digits. Find $A+B+C$ in $\overline{BA}+\overline{AB}+\overline{AB}=\overline{CAA}$.

Question illustration