2005 袋鼠数学 D-Cadet 真题 答案 详解
2005-04-09 mathkangaroo mathkangaroo D-Cadet
| 序号 | 文件列表 | 说明 | ||
|---|---|---|---|---|
| 1 | 2005-D-Cadet-paper-eng.pdf | 4 页 | 100.39KB | 英文真题 |
| 2 | 2005-D-Cadet-key.pdf | 1 页 | 39.58KB | 真题答案 |
英文真题
Kangaroo 2005— Cadet
Cadet
3-Point-Problems
Max Time: 75 min
- There are eight kangaroos in the cells of the table (see the figure on the right). Any kangaroo can jump into any free cell. Find the least number of the kangaroos which have to jump into another cell so that exactly two kangaroos remain in any row and in any column of the table.
(A) 1 (B) 2 (C) 3 (D) 4
- How many hours are there in half of a third of a quarter of a day?
(A) ( \frac{1}{3} ) (B) ( \frac{1}{2} ) (C) 1 (D) 2
- We have a cube with edge 12 cm. The ant moves on the cube surface from point A to point B along the trajectory shown in the figure. Find the length of ant's path.
(A) 48 cm (B) 54 cm (C) 60 cm (D) it is impossible to determine
- At National School, 50% of the students have bicycles. Of the students who have bicycles, 30% have black bicycles. What percent of students of National School have black bicycles ?
(A) 15% (B) 20% (C) 25% (D) 40%
- In triangle ABC, the angle at A is three times the size of that at B and half the size of the angle at C. What is the angle at A?
(A) 30° (B) 36° (C) 54° (D) 60°
- The diagram shows the ground plan of a room. The adjacent walls are perpendicular to each other. Letters a, b represent the dimensions (lengths) of the room. What is the area of the room?
(A) 2ab + a(b - a) (B) 3a(a + b) - a²
(C) 3a(b - a) + a² (D) 3ab
