Bebras 2022 - Level 1

Beaver Aine wants to find a football shirt with:

- A black collar.
- No black sleeves.
- No stripes.

Which of the shirts below is it?

There are three boxes. Box A contains a black ball, and box B contains a gray ball. Box C is empty.

A machine performs these steps in order:

- Step 1: Move the ball from box A to box C.
- Step 2: Move the ball from box B to box A.
- Step 3: Move the ball from box C to box B.

Which statement below is correct?

Alex is a civil engineer. To build a bridge, he needs a hammer, nails, pliers and a saw.

At present, only a hammer and a saw are available in the storeroom. Alex must visit shops to buy the missing tools. Three nearby shops sell the items shown below (Shops 1, 2 and 3 from left to right).

Which shops must Alex visit to buy all the tools needed to build the bridge?

Julia is challenged to draw cartoon characters using the given descriptions, as in the example below.

She has drawn the four characters below.

How many of them do not meet the requirements?

Beaver Alex has two cardboard sheets, A and B, shown below. Sheet A has four holes.

He places sheet A on top of sheet B. Which figure below CANNOT be obtained?

Gujeolpan is a traditional Korean meal containing the dishes shown below. The dishes must be arranged in exactly this order for the meal to be called Gujeolpan.

Which meal below is Gujeolpan?

Thomas’s digital clock is broken, so it displays the digits incorrectly, as shown below.
The columns show the digit, its correct display, and its faulty display.

Following this pattern, how will the digit 1 be displayed?

We can encode the names of animals using the positions of letters in the board below.


Letter board from the picture, retaining its row and column order:

| Row / Column | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | B | E | A | V | E | R | T | E | R | X |
| 2 | P | A | X | I | R | O | T | A | N | T |
| 3 | D | N | Q | U | R | E | X | H | L | I |
| 4 | A | X | S | O | X | L | E | P | N | O |

The example above gives the name PANDA. Which animal’s name does the symbol below represent?

Beaver uses the 13-bulb system below to display numbers.

Depending on which bulbs are off or on, the digits are displayed as follows:

Which number below requires the most bulbs to be switched on?

Beaver creates words by following the arrows in the diagram below. He always starts at the letter B and ends at the letter S. For example, he can create BEBRAS; BRASEBRS;...

Which word below cannot be created in this way?

The tiles below are available.

Which figure below cannot be made using these tiles?

Beaver converts letters into numbers using the table below to encode messages. A message’s value is the sum of the values of its letters. For example, Beaver writes the message “HI” as “72.73”, and its value is 72 + 73 = 145.

| A | B | C | D | E | F | G | H | I | J |
|---|---|---|---|---|---|---|---|---|---|
| 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 |

Beaver has written these messages:
HACE CEFF JADA JEDI BEDF HAGA
How many of them have the same value?

Joanna has some cards. Each side of a card shows either an elephant or footprints . Each side also has a tick ✓ or a cross ✗. The picture below is an example of one side of one of Joanna’s cards.

What is the greatest number of different cards Joanna can have?

The artist Piet has a rectangular piece of cloth divided into regions as shown below. He wants to color each region so that no two neighboring regions have the same color.

What is the smallest number of colors Piet needs?

Look at the picture below.

How many bottles contain more water than the bottle immediately to their left but less water than the bottle immediately to their right?