Question bank BEBRAS 2024

The beaver rotates this picture.



Which picture below could be the result?

The beaver draws a circle, a triangle and a square, then writes numbers in the picture as shown.



Which number lies inside all three shapes?

The beaver has the cards below and wants to use them to spell BEBRAS.



Which card is missing?

The robot starts in the gray square at the bottom left.



It can execute two commands:
- U: move up one square.
- R: move right one square.

Which sequence makes it pass through the other gray square?

The nine squares in this grid contain the numbers shown.



The beaver colors black three squares whose numbers add up to 9. Which grid below could be the result?

Anna has the umbrella shown below.



Which picture could show Anna’s umbrella viewed from some direction?

Beavers and cats live in the village shown.



A line divides the village into two parts. The animals are then moved one at a time until each part contains only one species. Which dividing line below requires the fewest moves?

A veterinarian stores records of animals that have visited the clinic in three cabinets. Each record goes into the drawer labelled with the first letter of the animal’s name.



The animals are:
- King, Judith’s mouse
- Charlie, Miller’s cat
- Leo, William’s pig
- Cindy, Sophie’s mouse
- Lola, Adam’s parrot
- Henry, Karen’s squirrel
- Kermit, Cooper’s horse
- Berta, Robinson’s cow

Which cabinet contains the most records?

The beaver finds this treasure map and its instructions.





Where is the treasure hidden?

Two robots move on this map using three types of instructions. In the icon column, from top to bottom: move forward one square; turn left; turn right. Turns change direction without moving to a different square.





Which instruction sequence can take both robots to the house?

Tom draws a grid with three rows A, B, C and three columns 1, 2, 3. Every square initially contains 0. A square is named by its row followed by its column; for example, the top-left square is A1.



Tom calls out some square names in order. Each call increases the number in that square by 1. Which grid results after he calls A1, A3, B1, B3, C1, C3, A1, A3, B1, B3, A1, A3?

An encodes messages using these rules. First, remove spaces and write the message into a four-column table, filling each row from left to right. For “My name is beaver”, the table is:



Next, write the numbers 1, 2, 3, 4 in any order, and read all letters from each corresponding column from top to bottom in that order. For example, order 3, 2, 1, 4 gives “nia yeer Mmbe asv”.

An encodes “I wrote a letter” using column order 3, 1, 2, 4. Which code does An obtain?

For a costume festival, the beaver makes masks using this table.



Which mask below belongs in the gray square?

The beaver has several toys. Each toy needs the number of batteries shown.



The beaver wants to choose four toys requiring at most 9 batteries in total. How many different selections are possible?

Alex has the cards shown.



Alex gives cards to some beavers so that each receives 3 cards and no beaver receives more than 9 stars in total. What is the smallest number of cards Alex must have left over?

Sarah has nine balls of three kinds, arranged as shown.



She wants to put each kind in a separate basket, moving the balls one at a time from the first basket to the other baskets. Which kind will be the first to have all three balls together in its own basket? The pictured choices are A: basketball, B: football, C: volleyball.

A beaver finds the treasure map and instructions shown below. Start at the star, move four squares down, four squares right, then one square down. Where is the treasure hidden?



The four location pictures, in order A-D, are shown here.

Beavers and cats live in the village shown.



A line divides the village into two parts. Animals are then moved, one at a time, so that each part contains only one species. Which proposed dividing line requires the fewest moves? The four pictures are A and B on the top row, C and D on the bottom row.

Alex has the cards shown.



He gives cards to some beavers so that each receives two cards and no beaver receives more than seven stars in total. What is the smallest number of cards Alex can have left over?

A vet stores visiting animals’ records in three cabinets. A record goes in the drawer labelled with the first letter of the animal’s name.



The animals are: King, Judith’s mouse; Charlie, Miller’s cat; Leo, William’s pig; Cindy, Sophie’s mouse; Lola, Adam’s parrot; Henry, Karen’s squirrel; Kermit, Cooper’s horse; and Berta, Robinson’s cow. Which cabinet has the most records?