BEBRAS 2024 Grade 3-4 Round 2 Ext

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?

Alice visits a zoo with ten activities A-J scheduled as shown.



She can attend only one activity at a time. Whenever she chooses an activity, she attends its full scheduled duration, from start to finish. What is the greatest number of activities she can attend?

The beaver has the seven toys shown, each with its required number of batteries.



The requirements are: car 4, fan 1, torch 2, dinosaur 5, train 3, excavator 5, alarm clock 2. The beaver wants to choose three toys needing no more than seven batteries altogether. How many different choices are there?

Emma and Oli are making the necklace shown for their mother.



To finish quickly, each threads beads from one end: Emma from the left and Oli from the right. Each takes beads from a corresponding stack. Emma is younger, so her stack has fewer beads. Which pictured stack belongs to Emma? The choices A-D run left to right.

When watercolour is poured into a maze, it spreads each second to side-adjacent cells. It cannot cross walls. The example shows the start and the spread after one and two seconds.



How many seconds are needed for the colour to reach every cell of the following maze?

The beaver stacks unit cubes on the floor using these position codes: L=left, R=right, B=back, F=front, M=middle. For example, LF means the left-front corner. Each occurrence adds one cube at that floor position. The example shows LB RB MM LF RF RB MM RB.



Which result can be obtained from LB RB LM RM LF RF LB RB LM RM LB RB? The pictures are A,B above and C,D below.

A digital clock displays hours and minutes with four digits, each made from seven lights. These examples show 0 and 2.



One light has broken and never lights up. It is in the rightmost digit, the units digit of the minutes. During the last few minutes the clock has displayed these three successive readings.



What will it display at the next change? The options are A,B above and C,D below.

A beaver rides in a self-driving car. Because of a software fault, the car always makes the same choice whenever it meets the same kind of junction: a roundabout (marked by a dot), a T-junction, or a crossroads. The picture shows part of the route already taken. Which gate will the car use to leave the city?

The beaver makes elephant and flower stickers in the sizes shown on the square grid.



There are two sheets of paper with parts torn away, as shown. The beaver may cut the sheets into pieces and draw the designs to make stickers of these sizes. What is the greatest total number of stickers of these two types that can be made?

Paul has three tubes of balls as shown.



Pressing A, B or C opens the corresponding barrier and lets exactly one ball pass into storage. The balls in storage must be in increasing numerical order from bottom to top. What is the greatest number of balls that can be sent into storage?

Peter the beaver wants to reach the tree on the map. He must follow the arrows and may not use roads with bees. How many different routes to the tree are there?