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VTMO 2015 — Grade 2 — final

Question 1

Three consecutive natural numbers total $33$. What is the greatest?
  1. $10$
  2. $12$
  3. $13$
  4. $14$
  5. $30$

Question 2

How many two-digit numbers have digit sum $10$?
  1. $2$
  2. $4$
  3. $8$
  4. $9$
  5. $10$

Question 3

$A = 45$-minute test starts at $8 : 20$. When does it end?
  1. $8 : 05$
  2. $9 : 00$
  3. $9 : 05$
  4. $9 : 10$
  5. $9 : 15$

Question 4

The belt passes around five wheels in the arrow directions. How many rotate clockwise?

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

Question 5

Given $5\circledast6=5\times6-(5+6)=19$, find $9\circledast10$.
  1. $61$
  2. $71$
  3. $80$
  4. $81$
  5. $90$

Question 6

What is the units digit of $(10\times13)+(2\times15)+(4\times9)$?
  1. $0$
  2. $4$
  3. $6$
  4. $8$
  5. $9$

Question 7

Find $X$ in the three triangles shown.

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

Question 8

Use $2 , 3 , 4 , 5$ once each to make two two-digit numbers with the greatest sum. What is it?

Question illustration
  1. $68$
  2. $77$
  3. $86$
  4. $95$
  5. $97$

Question 9

Place $1 \text{--} 5$ once in the cross so that horizontal and vertical totals are both $8$. What is the center?

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

Question 10

Both scales balance. Select the correct relationship.

Question illustration
  1. $\circ=2\triangle$
  2. $\square=3\triangle$
  3. $\square=2\triangle$
  4. $\square=3\circ$
  5. None is correct

Question 11

Phuong has $14$ pencils. After giving Chau two, their counts are equal. How many did Chau start with?

Question 12

Eighteen birds perch on two branches. Three move from $1$ to $2$, then five from $2$ to $1$, leaving equal counts. How many initially perch on $1$?

Question 13

November has $30$ days and five Sundays; its last day is Monday. What weekday is the $20$ th?

Question 14

Fill each row and column with $1 \text{--} 4$ once. What belongs in the lower-right ? cell?

Question illustration

Question 15

Six elephants $A \text{--} F$ line up. $F$ is after $A$, before $D$, and between $B$ and $C$. $B$ is first and $E$ last. What is $F$’s position?

Question 16

An, Binh, Chau, Dung have distinct ages $9 \text{--} 12$. Binh is older than Chau but younger than Dung; Dung is one year younger than An. How old is An?

Question 18

An operation gives $3\circledast2=56$, $5\circledast3=815$, $6\circledast1=76$, $9\circledast4=1336$. Find $4\circledast5$.

Question 19

Thirteen flowers include five daisies and the rest roses; six are white and the rest yellow. What is the greatest number of yellow roses?

Question 20

Eight cards $1 \text{--} 8$. An, Binh, Chau take two each: An’s sum is $7$ and difference not $3$; one of Binh’s numbers doubles the other; Chau’s sum is $9$. Which cards remain?