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VTMO 2022 — Grade 2 — vtmo

Question 1

Which picture has an odd number of stars?

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  1. Picture $A$
  2. Picture $B$
  3. Picture $C$
  4. Picture $D$
  5. Picture $E$

Question 2

In Bingo, which board first has three called numbers in one row, column or diagonal when $7 , 3 , 2 , 5 , 1 , 8$ are called in that order?

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  1. Board $A$
  2. Board $B$
  3. Board $C$
  4. Board $D$
  5. Board $E$

Question 3

Viet adds $66$ to his number, then divides the total by the original number to get $4$. What is the number?
  1. $13$
  2. $14$
  3. $15$
  4. $22$
  5. $33$

Question 4

Four black boxes precede four white ones. Each move swaps two boxes. How many moves minimum to alternate colors?

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  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$

Question 5

How many squares have a positive integer side length and perimeter below $50 \,\mathrm{cm}$?
  1. $12$
  2. $10$
  3. $7$
  4. $15$
  5. $18$

Question 6

Five consecutive natural numbers have an odd sum. Which is false: A product even; $B$ largest-minus-smallest even; $C$ three odd, two even; $D$ smallest odd; $E$ largest-plus-smallest odd?
  1. Product even
  2. Largest−smallest even
  3. Three odd, two even
  4. Smallest odd
  5. Largest+smallest odd

Question 7

Using the pictured balances, which object is heaviest?

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  1. Circle
  2. Triangle
  3. Pentagon
  4. Cube
  5. Undetermined

Question 8

A rabbit collects every fruit on the path home. Each other fruit type is less numerous than strawberries, and one fruit is hidden at ?. Which type cannot be hidden?

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  1. Strawberry
  2. Apple
  3. Mangosteen
  4. Mango
  5. Banana

Question 9

Equal numbers of apples and oranges are packed. There are $12$ boxes of six apples; oranges are packed four per full box. How many orange boxes?
  1. $8$
  2. $18$
  3. $22$
  4. $24$
  5. $30$

Question 10

An, Binh, Chau, Dung have $90$ marbles. An+Binh $= 3 \times$ Chau and An+Binh+Chau $= 2 \times$ Dung. How many does Chau have?
  1. $10$
  2. $15$
  3. $22$
  4. $25$
  5. $30$

Question 11

Find $D$ from the intersecting equations in the diagram.

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Question 12

An writes eight digits on transparent glass. Binh sees the pictured back view. Find the sum of An’s digits.

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Question 13

Notes have denominations $1 , 2 , 5$ thousand. An gets seven notes of one denomination, Binh eight notes including all three. What is the greatest difference in thousands?

Question 14

Ten pupils write unordered natural-number pairs with product $18$. Every possible pair occurs. What is the largest number sharing one answer?

Question 15

An enters $A$ and aims to exit $B$. Reaching a dead end requires returning to the start and counts as a loss. What is the minimum number of attempts guaranteeing a win?

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Question 16

Each small triangle has three differently colored sides: blue, yellow, red. What color is the dashed edge? Codes $1$ blue, $2$ yellow, $3$ red.

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Question 17

The pictured incomplete $4 \times 4 \times 4$ cube needs how many more unit cubes?

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Question 18

A dorm has $12$ rooms of ten or six beds.$92$ students occupy beds and $16$ are empty. How many ten-bed rooms?

Question 19

Start with $2 , 0 , 2 , 2$. Each turn increases three selected positions by one. What is the minimum turns to obtain four consecutive even numbers, in any order?

Question 20

Distinct letters are distinct digits: VTMO $+ 2022 = TITAN , O + N = 8$, and $M$ is odd. Find $T + I + T + A + N$.

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