2024 Beaver Computing Challenge
(Grade 7 & 8)
Questions
2024 Beaver Computing Challenge
(Grade 7 & 8)
Questions
Beaver Robot can say sentences containing exactly 3 words.
Which sentence below cannot be said by Beaver Robot?
Ana created the following digital image.
She did her work in stages. For the last three stages, she added the following parts of the image as shown in order from left to right.
Now Ana has decided to undo some of her work, removing the parts added in the last three stages.
Which of the following options shows the resulting picture?
A cool new ice cream shop with a self-service machine has opened! To
place an order, you push the arrow buttons to move the robot to the
square with the flavour you want and then press 
to add a scoop to the cone. After you have chosen three scoops, your
order is prepared.
The robot always starts an order from the START square. For example, from left to right the sequence
What flavours will be on the ice cream cone, from bottom to top, if the order uses the following sequence, from left to right?
When Pixel tries to draw lines on graph paper, she does this by colouring in blocks of tiny squares. Each of these squares intersects the line she is trying to draw. This means she cannot always draw perfectly straight lines. An example is shown where the blocks of squares Pixel coloured do not look exactly the same as the straight diagonal line that she is trying to draw.
A pattern is formed by the shapes and sizes of blocks of squares that Pixel colours. This pattern repeats every time the line she is trying to draw passes through a corner of a square. In the example, it is always 3 vertical blocks followed by 2 vertical blocks.
Pixel has started to draw the diagonal line shown and coloured in the first 8 squares as shown. If she continues drawing the line, then how will she colour the \(2 \times 3\) block of squares shown in grey?
In a magic garden, flowers can change during the night. If there is a group of at least two flowers of the same type directly beside each other, then that group of flowers transforms into a group of different flowers as follows:
Groups of
transform to
.
Groups of
transform to 
.
Groups of transform to
.
A flower never changes more than once per night.
This is what the magic garden looks like one morning.
What will the magic garden look like after four nights have passed?
In the computer game Superbebras, the background and the illusion of motion is created using a sequence of tiles.
Tiles added to the right end of the sequence are chosen according to the rules in the diagram below. Arrows point directly from each tile to the only tile(s) that can be added immediately to the right of it.
For example, a tile immediately to the right of tile 
can only be tile
or tile 
.
Which of the following images is not a possible Superbebras background?
Sequences of logs and branches are represented by codes, using the following two steps.
Let’s look at the following sequence as an example.
Continuing this process gives the sequence 3, 2, 1, 1, 1, 0. Its code is 101110.
Which of the following sequences of logs and branches is represented by the code 11101000?
Genaro uses his balance scale to weigh the spices he sells. He uses only the following 5 weights on his scale: 1 gram, 3 grams, 9 grams, 27 grams, and 81 grams.
Genaro always puts the spices on the right side of the scale. To measure 11 grams of spices, he places his weights as shown.
To help train new employees, Genaro creates codes for different amounts of spices. In his code, \(\text{L}\) means the weight is placed on the left side, \(\text{R}\) means the weight is placed on the right side, and \(\text{O}\) means the weight is placed off the scale. Genaro writes each code in order from the smallest weight to the largest weight. For example, the code for 11 grams of spices is \(\text{R}\text{L}\text{L}\text{O}\text{O}\), as shown.
| Weight (grams) | 1 | 3 | 9 | 27 | 81 |
|---|---|---|---|---|---|
| Position | \(\text{R}\) | \(\text{L}\) | \(\text{L}\) | \(\text{O}\) | \(\text{O}\) |
Among the following four codes, which measures the heaviest amount of spices?
Nine students are sitting side by side in one row in the library while their teacher conducts an online lesson from her home. The teacher sees the class from her laptop screen as shown. Each student is using a different computer, but the teacher’s screen shows who each student is sitting next to.
Which student is sitting in the middle (5th position) of the row in the library?
Beaver Deana enters the maze below carrying a doll of size 1. She then goes through the maze and collects dolls of different sizes, placing smaller dolls inside larger dolls.
Deana follows the arrows and obeys the following rule whenever she encounters a doll.
If the doll she encounters is bigger than the biggest doll she already has, she can choose to either take the doll and put her dolls inside of it, or leave it behind.
Otherwise, if the doll she encounters is the same size or smaller than the biggest doll she already has, she must leave the doll behind.
What is the maximum number of dolls that Deana can collect, including the size 1 doll, by the time she reaches the exit of the maze?
Manas creates drawings by combining some of the following images:
| Image |  |
 |
 |
 |
 |
 |
 |
 |
|---|---|---|---|---|---|---|---|---|
| Name | cloud | crown | flower | person | pizza | star | sun | smiley sun |
Manas draws on cards following one, single, secret rule. He has created four cards that obey this rule:
Anil observes the cards and creates a new card, but it does not obey the rule.
Which of the following could be the secret rule?
Bernard has wrapped gifts for the 14 students in his class, and numbered the gifts from 1 to 14.
Bernard knows the weight of each gift. After wrapping each gift, Bernard realized that he accidentally dropped his phone in one of the boxes. In order to avoid unwrapping many gifts, he plans to do the following:
In which of the following situations would Bernard weigh the fewest number of piles?
A group of beavers left their house 
.
Some of them went to the museum 
, and the rest of them went to the forest 
.
Beavers documented their various travels in the map below. Each circle is a place where beavers could pass through, and the lines between them are the paths they could take. Each path is labelled with an arrow indicating the direction the beavers took on that path, and also a number indicating the number of beavers that took that path. For example, three beavers took the path to the museum.
Unfortunately, some documentation is missing, so some paths are missing their label.
How many beavers went to the forest?
Quinn and Evan are playing a game on the beach involving shells, holes, and lines in the sand.
To play the game, they take turns placing new shells in empty holes, some of which are connected by lines. The first person to have two of their shells placed in holes directly connected by a line loses the game.
Quinn plays with one type of shell: 
, and Evan plays with another type of shell: 
.
The game has started and each player has completed two turns. The placement of these four shells are as shown, and the remaining empty holes are numbered 1 through 7.
It’s now Quinn’s turn. In which empty hole should Quinn place her shell if she wants to guarantee a win in the game?
Fleas A, B, C, and D start a race, in that order, from position 1 in the picture shown.
They continue to take turns in this order (A, B, C, D, A, B, \(\ldots\)) and follow two rules:
It is possible for more than one flea to be at the same position at the same time.
Which flea will finish first?