WorksheetsBebras "Difficult" Junior Challenge Problems
Total questions: 15
Worksheet time: 45mins
Beautiful tiles
Robot-beaver is walking on tiles and decorating them with ornaments. He knows these commands:
Several flowers on the same tile are drawn next to each other.
What is the largest number of flowers drawn on a single tile by robot-beaver, after these commands?
(type a number only ...)
(a)
Beaver map
On the beaver map the location of objects are indicated by two numbers in brackets. Row number first, then – column number.
Lake (1, 1)
Bridge (5, 6)
The beaver hut is located four points below bridge and two points to the right of the bridge.
What is the location of the Beaver hut?
(type two numbers with no space)
(a)
Clothes line
Kangaroo built a clothes dryer. They want to strengthen the poles to save the dryer from beavers. Unfortunately, they can only afford to strengthen one pole.
In which pole should they invest?
(click on the correct pole ...)
Swap
Beaver’s and kangaroos’ cards are in an order.
You can swap two cards next to each other.
How many swaps are needed to swap cards to get all beavers at the beginning of the row and kangaroos at the end? Use the minimum number of swaps.
(type a number only ...)
(a)
iFrog
Robot frog can grab one insect by jumping once from one leaf to another one.
How many jumps does robot frog have to make in order to to grab all the insects?
(type a number only ...)
(a)
Laundry
Beaver has a laundry with two separate machines for washing and drying. Both machines have an half hour operating cycle, so each customer needs 60 minutes.
Two beavers arrive in a hurry. They need to wash and dry their clothes as quickly as possible.
How many minutes it is going to take to wash and dry clothes for two beavers?
(type a number only ...)
(a)
Robot is carrying
Robot-beaver is programmed to carry parcels to the third floor. If a parcel weighs up to 10 kilo, robot can move one floor per minute. If it is heavier 2 minutes per floor. Robot-beaver delays 1 minute preparing to move before each flight of stairs.
How many minutes will it take Robot-beaver to carry a 13 kilo parcel to the 3rd floor?
(type a number only ...)
(a)
Read around
A wheel is programmed to stop according to the following rules:
1st time – skip one square,
2nd time – skip two squares,
3rd time – skip three squares etc.
The first letter of the word is “P”.
What is the word?
(a)
Necklace for a little beaver
Little beaver wants to give a necklace to his girlfriend beaver. He knows she wants a specific one:
1) Red berries have to be between pine needles and
2) The number of apple pips has to be equal to the number of pine needles.
Which necklace will little beaver girl like?
Programmer’s New Years Eve
Programmer beaver decorated an extraordinary Christmas Tree especially for a New Year’s Eve. A lit light bulb means 1 and unlit means 0.
Which New Year Eve is being celebrated?
(type four numbers for the year ...)
(a)
Beaver's House
Beaver house windows are marked by row & column numbers, e.g. windows on the door’s right: [1, 3] and [2, 3].
Beaver replaced windows: [1, 2]; [1, 6]; [2, 2]; [2, 5] last year.
This year he wants to replace other windows, but only those, which have 4 ‘’neighbours’’: to the left, right, above & below.
How many windows Beaver is going to replace this year?
(type a number only ...)
(a)
Beaver language
Whistling beavers can talk with each other from a long distance using whistle language. Every letter is made up of a combination of long and short whistles. There is a pause between letters.
Sounds for the following letters are shown.
Which whistle sequence makes the word BEBRAS?
Find a mistake
A wheel is programmed to stop according to the following rules:
1st time – skip one square,
2nd time – skip two squares,
3rd time – skip three squares etc.
The first letter of the word is “P”.
Beaver read a word and found a mistake.
Which letter is in the wrong position on the wheel??
(a)
Cat and mouse
Beaver created two robots: cat and mouse. Both of them can move from one square to another following the arrows. Cat wants to hunt the mouse.
• Cat starts first.
• Moves are made alternately (cat, mouse, cat, mouse, etc.)
• The robots move in the direction indicated by the arrows as many squares as there are arrows (E.G. one square if there is one arrow, two squares if two arrows
and etc.).
• When a robot is moving, it ignores the arrows on the squares it moves over.
• Mouse is eaten, when the cat is on the same square as the mouse.
Can the mouse avoid the cat?
Yes, the mouse can avoid the cat
No, the cat can catch the mouse
Cipher
Beavers send messages encoded with a specific cipher: every alphabet letter is shifted by two letters.
E.g. A->C, B->D…, Y->A, Z->B.
Message received: JGNNQ VJGTG
What was written by the Beaver?
(a)
