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VTMO 2021 — Grade 2 — titan-cup

Question 1

Minh shuffles and turns over the pictured $TITAN$, VTMO, $2021$ cards. Thanh draws one at random. Which character is most likely?

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  1. $T$
  2. I
  3. $A$
  4. $N$
  5. $2$

Question 2

February $1 , 2021$ is Monday. What weekday is March $31 , 2021$?
  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday

Question 3

After $40$ minutes of homework, Chau sees the pictured clock in a mirror. When did she start?

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  1. $10 : 55$
  2. $9 : 35$
  3. $9 : 25$
  4. $11 : 05$
  5. $10 : 45$

Question 4

An and Binh’s ages total $16$. In how many years will the total be $30$?
  1. $5$
  2. $7$
  3. $10$
  4. $12$
  5. $14$

Question 5

Nhi receives $1280000$ dong, with exactly one $500000$-dong note. What is the fewest notes?
  1. $5$
  2. $6$
  3. $7$
  4. $8$
  5. $9$

Question 6

$A = 3$-row, $5$-column grid has a star in its center cell. How many squares contain the star?

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

Question 7

Bao and Hai have $31$ marbles. Bao gives Hai five, Hai loses three, then they are equal. What did Hai initially have?
  1. $12$
  2. $14$
  3. $22$
  4. $9$
  5. $19$

Question 8

In the pictured sequence of gray-square figures, how many tiles does figure $100$ use?

Question illustration
  1. $99$
  2. $203$
  3. $197$
  4. $199$
  5. $201$

Question 9

An uses exactly $20$ matches to form digits in the displayed style, then adds them. What is the greatest sum?

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  1. $28$
  2. $36$
  3. $42$
  4. $43$
  5. $45$

Question 10

A machine halves even inputs and subtracts $1$ from odd inputs, repeating until $0$. For example $3$ and $4$ take three steps. How many inputs take exactly six steps?
  1. $8$
  2. $10$
  3. $12$
  4. $15$
  5. $6$

Question 11

Pair numbers $1 \text{--} 15$ so one in each pair is twice the other. What is the fewest unpaired numbers?

Question 12

On the rectangle An travels $S$→$A = 1$→$A = 2$→$F$ and Binh $S$→$B = 1$→$B = 2$→$F$. $SA = 1 = 60 m , SB = 1 = 100 m$, and An travels $10 m$ farther. How much does $A = 2 F$ exceed $B = 2 F$?

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Question 13

Ten questions score $4$ if correct and $- 1$ if wrong or blank. To exceed $20$ points, how many must Thanh answer correctly?

Question 14

A bag of candies divides evenly among four pupils. Adding two pupils reduces each share by three candies. How many candies?

Question 15

Dao and Hang start with equal candies. Daily Dao eats three and Hang two. Later they have four and nine left. What did each start with?

Question 16

Place $1 \text{--} 8$ once in the small circles so each large circle sums to $22$. Find the sum of the two ? circles.

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Question 17

In $0 , 1 , 2 , 1 , 1 , 2 , 2 , 1 , 2 , 3 , 1 , 2 , 4 , 1 , 2 , \ldots$ find the sum of the first $21$ terms.

Question 18

$V , T , M , O$ are distinct digits in $OM \times T = V = 8$. Maximize $V + T + M + O$.

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Question 19

The pictured $3 \times 3$ grid has equal row, column and diagonal sums. Find $A \times B \times C \times D \times E \times F$.

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Question 20

An, Binh, Chau have $48$ cards. An, then Binh, then Chau give each of the other two as many cards as that receiver currently has. They finish equal. How many did An initially have?