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Question bank VTMO 2014

Exam papers

185 questions

Question 1

Transferring one pupil from class $3$ A to $3 B$ makes their sizes equal. Transferring one pupil from $3 B$ to $3 C$ makes $3 C$ have two more pupils than $3 B$. Which class was originally the largest?

Question 2

How many two-digit numbers have digit sum $9$?

Question 3

How many squares in the grid contain the letter $A$?

Question illustration

Question 4

Eight cards are numbered $1$ through $8$. An, Binh and Chau each draw two cards.
• Binh: one card’s number is twice the other’s.
• Chau: the two numbers sum to $9$.
• An: the two numbers sum to $7$, but their difference is not $3$.
Which two cards remain?

Question 5

An has three clocks $A , B$ and $C$. A gains $30$ seconds per hour compared with $B$. $B$ loses $30$ seconds per hour compared with $C$. All three are reset to $8$ a.m. What time does A show when $C$ shows noon? Give hours, minutes and seconds.

Question 6

Two ships carry $660$ passengers in total. After transferring $30$ passengers from A to $B$ and $70$ from $B$ to $A$, the ships carry equal numbers. How many were originally on each ship?

Question 7

The large square is tiled by four congruent rectangles and a small square of side $6 \,\mathrm{cm}$. The large square has side $14 \,\mathrm{cm}$. What is the length of each rectangle?

Question illustration

Question 1

Fill in the blank: $3\times2+4\times\ldots=30$.
  1. $3$
  2. $6$
  3. $10$
  4. $12$
  5. $18$

Question 2

An empty bottle weighs $250$ grams. When filled with water it weighs $480$ grams. How many grams of water does it hold?
  1. $200$ gram
  2. $220$ gram
  3. $230$ gram
  4. $240$ gram
  5. $250$ gram

Question 3

The first tank contains $200$ liters of oil. The second contains $25$ liters less. How many liters are in both tanks?
  1. $275$
  2. $375$
  3. $225$
  4. $175$
  5. $325$

Question 4

A two-digit odd number has a tens digit three times its units digit. Which number could it be?
  1. $82$
  2. $62$
  3. $93$
  4. $13$
  5. $39$

Question 5

What is the difference between the smallest three-digit number with distinct digits and the largest two-digit number?
  1. $24$
  2. $13$
  3. $11$
  4. $3$
  5. $1$

Question 6

In a magical land, students learn this unusual operation: $5\heartsuit2=5+5-2-2$. Evaluate $9\heartsuit4=$
  1. $5$
  2. $8$
  3. $10$
  4. $14$
  5. $18$

Question 7

Find the dividend if the divisor is the greatest one-digit number and the quotient is $2$.
  1. $9$
  2. $14$
  3. $16$
  4. $18$
  5. $20$

Question 8

Today is Sunday. What weekday will it be in $30$ days?
  1. Monday
  2. Tuesday
  3. Thursday
  4. Friday
  5. Saturday

Question 9

How many minutes does a clock’s minute hand take to move clockwise from $2$ to $11$?

Question illustration
  1. $20$ phút
  2. $25$ phút
  3. $30$ phút
  4. $35$ phút
  5. $45$ phút

Question 10

Minh weighs $4 \,\mathrm{kg}$ more than Lam. Nam weighs $3 \,\mathrm{kg}$ more than Lam. Which of Minh and Nam weighs more, and by how much?
  1. Minh weighs $7 \,\mathrm{kg}$ more than Nam.
  2. Nam weighs $1 \,\mathrm{kg}$ more than Minh.
  3. Nam weighs $3 \,\mathrm{kg}$ more than Minh.
  4. Minh weighs $1 \,\mathrm{kg}$ more than Nam.
  5. Minh weighs $4 \,\mathrm{kg}$ more than Nam.

Question 11

Choose the expression with the greatest value.
  1. One half of $20$.
  2. One quarter of $20$.
  3. One fifth of $20$.
  4. One half of $10$.
  5. One half of $30$.

Question 12

Replace the question mark with the appropriate number in the figure.

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

Question 13

Four people attend a party. On leaving, each person shakes hands once with every other person. How many handshakes occur?
  1. $3$
  2. $4$
  3. $6$
  4. $9$
  5. $12$