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VTMO 2017 — Grade 4 — 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

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

Question 3

Two siblings have $96$ marbles. The elder gives the younger $22$, after which the younger has three times as many. How many did the elder initially have?
  1. $24$
  2. $48$
  3. $46$
  4. $50$
  5. $72$

Question 4

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

Question 5

How many three-digit numbers have digit sum $6$?
  1. $12$
  2. $16$
  3. $18$
  4. $20$
  5. $21$

Question 6

Tom writes numbers $1$ through $100$. Jerry erases every number containing digit $4$. What is the sum of the erased numbers?
  1. $445$
  2. $580$
  3. $891$
  4. $931$
  5. Other answer

Question 7

A teacher has $90$ notebooks: she gives An $5$ and Binh, Chau, Dung $10$ each. She distributes the remainder among the other pupils, who receive distinct positive amounts. What is the maximum class size?
  1. $11$
  2. $14$
  3. $15$
  4. $16$
  5. $20$

Question 8

How many squares in the grid do not contain the star?

Question illustration
  1. $18$
  2. $21$
  3. $17$
  4. $20$
  5. $19$

Question 9

Today is Sunday $26$ November $2017$. Phuong’s birthday is $1$ January; Khang’s birthday is $6$ days before hers. What weekday is Khang’s birthday in $2017$?
  1. Sunday
  2. Monday
  3. Tuesday
  4. Wednesday
  5. Thursday

Question 10

Four-digit numbers have hundreds digit $0$. Removing the thousands and hundreds digits makes each number $301$ times smaller. How many such numbers exist?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$

Question 11

Two clocks stop during an outage. On restoration, clock $1$ resets to $00 : 00$ and clock $2$ resumes from its stopped reading. Power is out from $2 : 00$ to $3 : 15$; Thanh wakes at $7 : 00$. How many minutes apart are the readings?

Question 12

Three pegs hold A on peg $1 , C$ above $B$ on peg $2$, and $D$ on peg $3$ as shown. Binh removes one disk at a time. How many removal orders are possible?

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Question 13

Fill $4 , 5 , 9 , 10 , 17 , 22$ into the six circles, each once, so each square has sum $40$. What is the sum of the two dark circles?

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Question 14

Guess a four-digit number: $2896$ has exactly one correct digit, correctly placed; $5273$ has exactly two correct digits, wrongly placed; $1702$ has all four correct but all wrongly placed. Find the number.

Question 15

Distinct symbols are distinct digits. The addition is star–heart + pentagon–heart + pentagon–star = star–pentagon–pentagon. Find the sum of the star, heart and pentagon digits.

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