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VTMO 2017 — Grade 3 — semifinal

Question 1

Find $N=(15+20+25+30+35+40)-(10+15+20+25+30+35)$.
  1. $10$
  2. $20$
  3. $30$
  4. $35$
  5. $40$

Question 2

Ti writes all two-digit numbers containing the digit $3$. How many numbers does he write?
  1. $10$
  2. $19$
  3. $20$
  4. $30$
  5. $18$

Question 3

Two brothers have $98$ marbles in total. After the elder gives the younger $22$ marbles, the younger has $10$ more than the elder. How many did the elder originally have?
  1. $44$
  2. $60$
  3. $66$
  4. $88$
  5. Another answer.

Question 4

An, Minh and Phuong attend the same school. On Monday afternoons they travel from school to a bookshop at different times. An leaves at $2 : 00$ and arrives at $2 : 40$. Minh leaves at $2 : 05$ and takes $25$ minutes. Phuong leaves at $2 : 15$ and takes $20$ minutes. In what order do they arrive?
  1. An, Minh, Phuong
  2. Phuong, Minh, An
  3. Phuong, An, Minh
  4. Minh, An, Phuong
  5. Minh, Phuong, An

Question 5

Thanh lives on $\operatorname{floor} 6$. Climbing from $\operatorname{floor} 2$ to $\operatorname{floor} 4$ takes $22$ steps. How many steps are needed from $\operatorname{floor} 1$ to $\operatorname{floor} 6$?
  1. $66$
  2. $55$
  3. $44$
  4. $33$
  5. $77$

Question 6

Pi has four rectangular pieces of wood, each $5 \,\mathrm{cm} \times 10 \,\mathrm{cm}$, and joins them to form a larger rectangle. What is the greatest possible perimeter?
  1. $60 \,\mathrm{cm}$
  2. $90 \,\mathrm{cm}$
  3. $100 \,\mathrm{cm}$
  4. $120 \,\mathrm{cm}$
  5. Another answer.

Question 7

On Vietnamese Teachers’ Day (November $20 ) , a$ teacher takes $53$ pupils from class $3$ A to a cinema. Students receive one free ticket for every five purchased; teachers enter free. What is the least number of tickets she must pay for?
  1. $42$
  2. $43$
  3. $44$
  4. $45$
  5. $53$

Question 8

An has $2$ more books than Binh. Binh has $3$ fewer than Chau. Dung has $4$ more than Chau. Which statement is incorrect?
  1. Chau has $3$ more books than Binh.
  2. Chau has $1$ more book than An.
  3. Dung has $7$ more books than Binh.
  4. An has $1$ more book than Chau.
  5. An has $5$ fewer books than Dung.

Question 9

The digit sum of $123$ is $1+2+3=6$. How many three-digit numbers have digit sum $6$?
  1. $12$
  2. $16$
  3. $17$
  4. $18$
  5. $21$

Question 10

Tom writes the natural numbers $1$ through $100$. Jerry erases every number containing the digit $3$. What is the sum of the erased numbers?
  1. $345$
  2. $480$
  3. $792$
  4. $845$
  5. $444$

Question 11

At a birthday party An, Binh, Chau and Dung wear different-colored shirts: red, yellow, black and white. An is not in red, and Binh not in black. Binh or Dung wears white. Chau wears yellow or white, and Dung black or white. What color does An wear?

Question 12

Place $4 , 9 , 10 , 11 , 16$ and $17$ in the circles so that each square’s four vertex values sum to $40$. What is the sum in the two shaded circles?

Question illustration

Question 13

Giang adds two three-digit numbers. In one number he misreads the units digit $6$ as $9$, the tens digit $1$ as $2$, and the hundreds digit $2$ as $5$. His result is $869$. What would the correct sum be?

Question 14

Thanh has two bedroom clocks. Both stop during a power outage. On restoration, the first resets to $00 : 00$ while the second resumes from the time at which it stopped. Power fails at $2 : 00$ and returns after $45$ minutes. When Thanh wakes at $7 : 00$ a.m., how many minutes do their displays differ?

Question 15

Different symbols below represent different digits. What is the sum of ☆, ♡ and ⬠?

Question illustration