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2023 Beaver Computing Challenge
(Grade 5 & 6)

Questions

Part A

Beaver Hats

Five hats are hanging as shown.

Hat P is the second shortest hat. Hat Q is the tallest hat. Hat R is the shortest hat. Hat S is the third tallest hat. Hat T is the second tallest hat.

Question

In what order should the hats be rehung so that they get taller as you move left to right?

  1. \(R,P,S,T,Q\)
  2. \(Q,S,T,P,R\)
  3. \(R,P,T,S,Q\)
  4. \(T,Q,S,P,R\)

Flower Garden

Beaver Bai has a garden with 9 fence posts around the edge, as shown.

He uses yellow ropes to divide the garden into smaller sections, according to the following rules:

Question

Which of the following gardens below could Bai have made?

Karla’s House

Karla has three maps that all show exactly the same region. One map shows the forests , one shows the rivers , and one shows the houses . Karla's house is in the forest, touches the bank of the river, and is House A, B, C, or D.

Each of the three maps is divided into a 12 by 12 grid of squares. Houses A and D are located in squares covered by a forest, and houses B and C are not. Houses A and B are located in squares touching the bank of the river, and houses C and D are not.

Question

Which house is Karla’s house?

  1. House A
  2. House B
  3. House C
  4. House D

Umbrella

Story

This is a view of Andrew’s umbrella from above. The umbrella has 10 sections, each with a different design.

A top view of the umbrella showing then 10 sections around the centre. Moving counter clockwise around the sections, the designs in order are: small dots, large dots, waves, gridlines, thick stripes, thin stripes, circles, squares, triangles, solid black.

Question

Which of the following images shows a possible side view of Andrew’s umbrella?

  1. A side view of the umbrella showing five sections in a row. From left to right, the designs on the sections are: thick stripes, gridlines, waves, large dots, solid black.
  2. A side view of the umbrella showing five sections in a row. From left to right, the designs on the sections are: thin stripes, circles, squares, solid black, triangles.
  3. A side view of the umbrella showing five sections in a row. From left to right, the designs on the sections are: small dots, large dots, waves, gridlines, thick stripes.
  4. A side view of the umbrella showing five sections in a row. From left to right, the designs on the sections are: gridlines, waves, large dots, small dots, solid black.

Part B

Hamburger Shop

Story

Masahiro made a hamburger for a customer, but the customer changed their mind several times while giving their order.

Masahiro built the hamburger in the order shown from left to right, always putting new items on top. The X symbol means that the customer changed their mind about the most recently added item, so Masahiro removed the item on top.

bottom bun patty cheese patty X X tomato X patty tomato lettuce top bun

Question

Which of the following hamburgers did Masahiro make?

  1. From bottom to top, the items in the hamburger are bottom bun, patty, cheese, patty, tomato, lettuce, top bun.
  2. From bottom to top, the items in the hamburger are bottom bun, patty, patty, tomato, lettuce, top bun.
  3. From bottom to top, the items in the hamburger are bottom bun, patty, tomato, tomato, lettuce, top bun.
  4. From bottom to top, the items in the hamburger are bottom bun, patty, cheese, patty, patty, tomato, lettuce, top bun.

Tile Land

Story

Tiles that show blue areas of water and green areas of land are placed together to create landscapes. Tiles must be placed so that when tiles share an edge, land always touches land and water always touches water. For example, two tiles may be placed as shown on the left, but not as shown on the right:

   

Question

If the following two tiles have been placed as shown, which tiles can be placed in the grey areas?





Riccas

Story

Evren is trying to learn what a Ricca looks like. Evren studies photos of the following five Riccas and makes some notes that accurately describe what she sees.