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Question bank VTMO 2017

Exam papers

208 questions

Question 1

Evaluate $10-(9+8)+(8+7)-(7+6)+(6+5)-(5+4)+(4+3)-(3+2)+(2+1)$.
  1. $1$
  2. $2$
  3. $10$
  4. $11$
  5. Another answer.

Question 2

An, Binh and Chau’s combined age is $24$. In how many years will their combined age be $30$?
  1. $6$
  2. $3$
  3. $10$
  4. $4$
  5. $2$

Question 3

How many two-digit numbers have units digit at least as large as the tens digit?
  1. $24$
  2. $35$
  3. $36$
  4. $45$
  5. $54$

Question 4

The digit sum of $2017$ is $2+0+1+7=10$. How many years from $2000$ through $2100$ have digit sum $10$?
  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$

Question 5

Two three-digit numbers differ by $217$. What is the greatest possible sum?
  1. $1781$
  2. $1757$
  3. $782$
  4. $770$
  5. $1552$

Question 6

Observe the pattern in the figures below. Find $X$.

Question illustration
  1. $12$
  2. $24$
  3. $36$
  4. $48$
  5. $60$

Question 7

Han has ten $1000$-dong notes, five $2000$-dong notes and two $5000$-dong notes. How many combinations of denominations can make $10000$ dong?
  1. $11$
  2. $7$
  3. $8$
  4. $10$
  5. $9$

Question 8

A group of pupils stands in a line. Pi is at the middle of the line and also midway between An and Binh. An is third from the front, and Binh is eight positions behind An. How many pupils are there?
  1. $10$
  2. $11$
  3. $12$
  4. $13$
  5. $14$

Question 9

In the pattern below, how many ★ shapes occur before the $21 st$ shape?

Question illustration
  1. $12$
  2. $15$
  3. $16$
  4. $17$
  5. $20$

Question 10

Thanh has cardboard tiles made from four squares as shown. Which figure can be formed using these tiles without gaps or overlaps?

Question illustration

Question illustration

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

Question 11

What number belongs in the starting circle? Start → Divide by $4$ → Add $4$ → Multiply by $4$ → $80$.

Question illustration

Question 12

The day before yesterday was Sunday. How many days from today until Sunday? For example, Monday to Wednesday counts as two days.

Question 13

The product of thirteen natural numbers is $13$. What is their sum?

Question 14

How many triangles are in the figure below?

Question illustration

Question 15

Ti is $15$ thousand dong short of buying a book, and Suu is $20$ thousand short of the same book. Their combined money is exactly enough. What is the price in thousands of dong?

Question 16

Find the perimeter of the joined square and rectangle below, given their perimeters are $40 \,\mathrm{cm}$ and $70 \,\mathrm{cm}$.

Question illustration

Question 17

The pattern below contains $76$ triangles. How many are shaded?

Question illustration

Question 18

A large cube consists of eight small cubes as shown. How many small-cube faces are in contact with other small-cube faces?

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Question 19

Different symbols represent different digits. Find the sum of ☆ and ♥ in $128-\overline{\star\heartsuit}=\overline{8\heartsuit}$.

Question illustration

Question 20

Four students discuss today’s weekday.
• $A$: “Today is Friday.”
• $B$: “Today is not Friday.”
• $C$: “Today is Saturday.”
• $D$: “$A , B$ and $C$ are all wrong.”
Exactly two students are correct. What weekday is today?