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VTMO 2013 — Grade 4 — semifinal

Question 1

Which number can replace the cloud symbol so that $a\times a=2\times2\times3\times3$ is true?
  1. $2$
  2. $3$
  3. $4$
  4. $6$
  5. $9$

Question 2

An’s class starts a $45$-minute mathematics test at $8 : 30$. At what time do they submit it?
  1. $8 : 45$
  2. $9 : 00$
  3. $9 : 15$
  4. $9 : 25$
  5. $9 : 30$

Question 3

Which symbol replaces the box in $1+1\square1-2=100$? The two digits $1$ on either side are written together with the chosen symbol.
  1. +
  2. −
  3. $\times$
  4. $0$
  5. $1$

Question 4

Hoang lives with his father, mother, younger sister, $a$ dog, $a$ cat, two parrots and four fish. How many legs are there in the household?
  1. $18$
  2. $20$
  3. $22$
  4. $24$
  5. $26$

Question 5

Which of these numbers is divisible by $9$?
  1. $2012$
  2. $2013$
  3. $2014$
  4. $2015$
  5. $2016$

Question 6

What fraction of the square’s area is shaded?

Question illustration
  1. $\frac16$
  2. $\frac13$
  3. $\frac58$
  4. $\frac35$
  5. $\frac38$

Question 7

How many odd numbers are there from $3$ to $99$ inclusive?
  1. $98$
  2. $51$
  3. $50$
  4. $49$
  5. $48$

Question 8

Find the perimeter of the figure below, using the marked dimensions.

Question illustration
  1. $12 \,\mathrm{cm}$
  2. $16 \,\mathrm{cm}$
  3. $18 \,\mathrm{cm}$
  4. $20 \,\mathrm{cm}$
  5. $22 \,\mathrm{cm}$

Question 9

What is the area of the shaded figure below?

Question illustration
  1. $20\text{ cm}^2$
  2. $25\text{ cm}^2$
  3. $35\text{ cm}^2$
  4. $40\text{ cm}^2$
  5. $50\text{ cm}^2$

Question 10

A motorcyclist travels $28 \,\mathrm{km}$ in $30$ minutes at constant speed. What is the speed in km per hour?
  1. $28$
  2. $36$
  3. $56$
  4. $58$
  5. $62$

Question 11

An older sister is $15$. Three years ago she was twice as old as her younger sibling. How old is the younger sibling now?
  1. $5$
  2. $6$
  3. $7$
  4. $9$
  5. $12$

Question 12

An, Binh and Chi’s ages currently sum to $30$. What will their combined age be in two years?
  1. $32$
  2. $34$
  3. $36$
  4. $38$
  5. $40$

Question 13

Pi colors $TITAN$ EDUCATION: identical letters have the same color and different letters have different colors. How many colors are required?
  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$

Question 14

A rectangular pattern uses gray and striped tiles. Some have fallen out as shown. How many gray tiles have fallen?

Question illustration
  1. $5$
  2. $6$
  3. $7$
  4. $8$
  5. $9$

Question 15

An $L$-shaped tile consists of $4$ unit squares as shown. How many of the five shapes below can be formed from two such $L$ tiles?

Question illustration

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

Question 16

An aircraft has rows numbered $1$ to $25$, except row $13$ is absent. Row $15$ has $4$ seats; every other row has $6$. How many seats are there?
  1. $120$
  2. $138$
  3. $142$
  4. $144$
  5. $150$

Question 17

There are $60$ seats around a circular table. Pupils sit so that each pupil has exactly one occupied neighboring seat. What is the maximum number of pupils?
  1. $10$
  2. $20$
  3. $30$
  4. $40$
  5. $60$

Question 18

Five boxes contain letters $A , B , O , R , V$ as shown. Remove letters until each box contains one and the five remaining letters are distinct. Which letter remains in box $5$?

Question illustration
  1. $A$
  2. $O$
  3. $R$
  4. $B$
  5. $V$

Question 19

A village never uses numbers containing digit $3$. Houses on the right side are numbered with increasing odd numbers, starting $1 , 5 , \ldots$ . What is the number of the $15$ th house?
  1. $29$
  2. $41$
  3. $49$
  4. $45$
  5. $47$

Question 20

The first Saturday of a month is the $5$ th. What day of the week is the $25$ th?
  1. Tuesday
  2. Wednesday
  3. Thursday
  4. Friday
  5. Saturday