BEBRAS 2025 Grade 3-4 Round 2 Ext

Victoria has a bracelet box with seven compartments. The pattern in each compartment is the pattern of the bracelet that belongs there.



Of the eight bracelets below, how many have no matching compartment? Read each row from left to right.

For a pizza topping, the beavers may choose three of six ingredients. Four beavers each have three ingredient wishes, as shown in the table.



Which pictured combination of three ingredients fulfils the greatest number of individual wishes? The options are A, B above and C, D below.

Anna draws parts of a picture on a computer in the order shown by the arrows.



This produces the following completed picture.



She wants to change some details, so she undoes the last three steps. Which picture remains?

Five children must play five different roles: wizard, superhero, dinosaur, pirate and astronaut. Their preferences are: Anna: wizard or dinosaur; Bob: superhero or pirate; Diana: superhero or dinosaur; Emily: astronaut or dinosaur; Tom: superhero or pirate. How many assignments give every child a role they like?

Nam has a transparent ring containing balls with symbols. Shaking lets the balls move as in the example, but they stay inside the ring.



After one more shake, which pictured order could occur?

Genaro has a balance and five weights of 1,3,9,27,81 grams. The example shows how to weigh 11 grams of herbs.



The herbs stay on the right pan. In a code, R means put that weight on the right, L means left, O means unused. Code positions follow the weights 1,3,9,27,81 in that order. For example, 11 grams is RLLOO.



Which code weighs 34 grams of herbs?

A treasure chest is on the island shown.



The beaver receives a six-step route. Each step moves exactly 1 km south (N, the Vietnamese abbreviation for Nam) or east (Đ). The route must avoid the shark-filled sea. How many such instruction strings lead to the chest? For example, NĐĐĐNN is valid. Compass labels are north at top, south at bottom, west left and east right.

An open-ended tube holds at most three balls. Adding a fourth pushes a ball out of the opposite end, as shown in both examples.



Starting with the pictured tube, the beaver performs the four insertions from left to right in the displayed instruction sequence; each arrow tells the direction of insertion.



Which picture shows the final tube?

The diagram joins each beaver to every tree type it can plant.



Each beaver plants only one tree type in a day. What is the largest number of different tree types the village can plant on the same day?

Anna must place one circle, one square, one triangle and one star on a 3 × 3 board. No other shape may share the circle’s row, the square’s column, or either diagonal through the star. The crossed-out cells in these examples cannot receive another shape.



Anna has already placed the circle, square and star as shown.



How many possible cells remain for the triangle?

Every night in the Magic Garden, a flower with at least one neighbouring flower of the same type changes to the next type in the cycle shown. Changes happen together, based on the flowers before that night’s change.



On day 1 the row is as follows.



On the morning of day 5 all flowers are of one type. Which type is it?

Paper machine A places sheet 1 above sheet 2. Machine B rotates both input sheets and joins sheet 1 to the left of sheet 2, as illustrated.



The beaver combines the machines in the following network.



What shape and pattern will the final sheet have?

The circles are villages and the arrows are directed roads. Alex travels from home through villages to the museum or forest. Numbers show how often he used each road; some are missing because he no longer remembers.



He always follows the arrows. The diagram shows three visits to the museum. What remainder is obtained when the number of forest visits is divided by 4?

Alice and Bob play a matching-card game. Every pair of cards must have exactly one picture in common. These three example cards each contain four pictures and satisfy that rule.



Now they have the following four numbered cards.



Which card should they remove so the remaining cards satisfy the rule?

Bob removes numbered beads from a tube one at a time. He may thread a bead or discard it permanently. He can thread a bead only if the string is empty or its number is greater than the last bead threaded. The example shows two choices after 1 and 2: thread 5, or discard 5 and continue.



For the following tube, what is the greatest number of beads Bob can thread? Beads leave from the right-hand opening.