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BEBRAS 2024 Grade 5-6 Round 2 Ext

Question 1

In the diagram, pressing A, B or C releases one object from the corresponding conveyor onto the bottom horizontal conveyor.

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Beaver presses buttons until every object has moved onto the bottom conveyor. Which order below is possible?
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Question 2

To prepare for a costume festival, Beaver creates masks using this table.

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Which mask belongs in the gray cell?
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Question 3

Anna has the umbrella shown.

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Which picture could show Anna’s umbrella viewed from another direction?
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Question 4

An encrypts messages as follows. First remove spaces and write the message row by row into four columns. For “My name is beaver”, the example table is:

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Then choose an order for columns 1,2,3,4 and write every letter in each chosen column from top to bottom. For example, order 3,2,1,4 gives “nia yeer Mmbe asv”. An encrypts “I wrote a letter” using column order 3,1,2,4. Which code results?
  1. rat Iter wet ole
  2. Iter rat wet ole
  3. rat wet Iter ole
  4. Iter wet rat ole

Question 5

A car moves on this game board following these instructions:
- Go straight until blocked by an apple.
- Turn right, then go straight until blocked by an apple.
- Turn left, move forward one cell, then turn right and go straight until blocked by an apple.
- Turn right and go straight until blocked by an apple.

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Where does the car stop?
  1. Position A
  2. Position B
  3. Position C
  4. Position D

Question 6

Bob plants crops in hexagonal garden plots. In the diagram, a heart means the two crops may be adjacent, while X means they must not be adjacent.

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Bob has planted garlic in three plots as shown and is about to plant the remaining crops pictured on the right.

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How many different arrangements of the remaining crops are possible?
  1. 2
  2. 0
  3. 3
  4. 1

Question 7

Beaver moves from START to STOP through the grid. At each step Beaver may move to the immediately adjacent cell on the right or immediately below, if it exists.

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Each cell’s number is the energy consumed when passing through it. What is the least total energy Beaver can consume on the journey?
  1. 14
  2. 15
  3. 16
  4. 17

Question 8

How many different ways are there to cut a piece matching the shape and pattern on the right from the board on the left?

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

Question 9

Paul has three tubes of balls as shown.

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Pressing A, B or C opens that gate for exactly one ball, which falls into storage (“Kho dự trữ”). The balls in storage must be in increasing order from bottom to top. What is the greatest number of balls that can enter storage?
  1. 8
  2. 10
  3. 7
  4. 9

Question 10

There are four animal species in the forest: owl, rabbit, pig and ferret. They occupy the twelve circular houses shown.

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The species living at X,Y,Z are unknown. Two houses are adjacent if a path directly connects them, and adjacent houses cannot contain the same species. Every species occupies the same number of houses. Which assignment satisfies these rules?

Original species legend: Owl

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Rabbit

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Pig

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Ferret

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  1. X-pig; Y-owl; Z-ferret
  2. X-ferret; Y-owl; Z-pig
  3. X-owl; Y-ferret; Z-pig
  4. X-owl; Y-pig; Z-ferret

Question 11

Beaver wants to make a bouquet using these instructions:
- Take one flower from pot 1. If it is a daisy, take one extra rose as well. The source symbols for daisy and rose are shown in this clause:

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- Take one more flower from pot 1.
- Take a leafy branch from pot 2, wrap the bouquet and finish.

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How many different bouquet results can these instructions produce?
  1. 2
  2. 3
  3. 4
  4. 5

Question 12

TechGenius has two automatic machines. At any time, each machine can perform at most one task. Four tasks require the times in this table.

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English: task A takes 6 minutes, B 4 minutes, C 9 minutes, D 3 minutes. Extra machines can be hired at 500 đồng each. What is the smallest rental cost that allows all four tasks to finish in the shortest possible time?
  1. 500 đồng
  2. 1000 đồng
  3. 1500 đồng
  4. 0 đồng

Question 13

Beavers write music using this directed diagram.

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A tune may begin at any note, but every later note must follow an arrow. A note may occur any number of times. Two notes have been erased from this tune:

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Which pair could fill the two gaps?
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Question 14

An island has three chests: one on a mountain, one under a tree and one on a sandy beach. All three are empty in the morning. At some point during the day, pirates fill one chest with treasure. Beaver takes three photos of the chests, exactly one before the pirates act:
- Photo 1 shows the beach chest, empty.
- Photo 2 shows the beach and tree chests, both empty.
- Photo 3 shows the tree and mountain chests, both empty.
Which chest did the pirates fill?
  1. On the mountain
  2. Under the tree
  3. On the beach
  4. Cannot be determined

Question 15

A robot plants seeds on these four mounds.

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It can execute these commands:

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Move one mound to the left.

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Move one mound to the right.

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Plant one bean seed on the current mound.
The robot executes this sequence:

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Its starting mound is unknown, but the three seeds are planted on three different mounds. Which mound receives no seed?
  1. 1
  2. 2
  3. 3
  4. 4