2022 袋鼠数学 B-Ecolier 真题 答案 详解

2022 年 B-Ecolier 真题,中英双语,答案,详解

英文真题

Känguru der Mathematik Österreich – 17.3.2022 Level Écolier (Schulstufe 3 and 4)

Name:

• 3 Point Examples -

• The bee wants to get to the flower.

Each arrow indicates a move to one neighbouring square. Which path can the bee fly to get to the flower?

(A) ↓ → → ↓ ↓ ↓ (B) ↓ ↓ → ↓ ↓ → (C) → ↓ → ↓ → → (D) → → ↓ ↓ ↓ ↓ (E) → ↓ → ↓ ↓ →

1. For every birthday Maria gets as many teddies as she is years old on that day. For her first birthday she got 1 teddy. For her second birthday she got 2 teddies and so on. How many teddies in total has Maria got on the day after her sixth birthday? (A) 19 (B) 20 (C) 21 (D) 22 (E) 23

2. One of the five coins A, B, C, D or E shall be placed in an empty square so that there are exactly two coins in each row and in each column. Which coin should be moved? (A) A (B) B (C) C (D) D (E) E

3. Which two numbers can be placed instead of the □ in the calculation 2022 + □ = 2020 + □ so that it is correct? (A) 3 and 5 (B) 4 and 1 (C) 3 and 4 (D) 7 and 2 (E) 9 and 8

4. If a laser beam hits a mirror it changes its direction (see small diagram). Each mirror has mirrored sides on both sides. At which letter does the laser beam end? (A) A (B) B (C) C (D) D (E) E

5. Kengu jumps on the number line to the right (see diagram). He first makes one big jump and then two little jumps in a row and keeps repeating the same thing over and over again. He starts at 0 and ends at 16. How many jumps does Kengu make in total? (A) 4 (B) 7 (C) 8 (D) 9 (E) 12

6. In the diagram on the right two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed?

中英双语真题

MATH KANGAROO CHINA Math Kangaroo 2022 (China) - Level 2 ASDAN China 3 points 1. Buzz the bee wants to reach the flower. Which set of directions will get him there. 蜜蜂按照下列哪组方向前进可以采到花蜜? (A) → ↓ → ↓ ↓ ↓ (B) ↓ ↓ → ↓ ↓ (C) → ↓ → ↓ → (D) → → ↓ ↓ ↓ (E) ↓ → → ↓ ↓ 2. Laser beams reflect in mirrors in the way shown in the picture. At which letter will this laser beam end? 激光束在镜子中的反射情况如右图所示。 那么下图中的激光束将从哪个字母的位置反射出来? (A) A (B) B (C) C (D) D (E) E 3. Rossitza wants to put 2 coins in each row and in each column of the grid. 小萝想在网格的每行和每列都放上2枚硬币。 Which coin does she need to move to an empty cell? 请问她现在需要将哪枚硬币移动到其他空格中? (A) A (B) B (C) C (D) D (E) E

真题文字详解(英文)

Ecolier Finalized
3 points

1 (KW). Buzz the bee wants to reach the flower. Which set of directions will get him there.
(A) → ↓ → ↓ ↓ →
(B) ↓ ↓ → ↓ ↓
(C) → ↓ → ↓ →
(D) → → ↓ ↓ ↓
(E) ↓ → → ↓ ↓ ↓

SOLUTION: The correct answer is (A) - three moves right and three moves down (right, down, right, down, right):

2 (DK). Laser beams reflect in mirrors in the way shown in the picture. At which letter will this laser beam end?
(A) A
(B) B
(C) C
(D) D
(E) E

SOLUTION: The laser beam travels down, then right, up, right, down, left, down and ends up at point B.

3 (DK). Rossitza wants to put 2 coins in each row and in each column of the grid.