2008 澳洲 AMC E-Senior 真题 答案 详解

中英双语真题

Advanced Paper (11-12 Grade)

1-10 Questions, 3 Points Each

1. The expression (8002 - 2008) equals: (A) 200 (B) 8 (C) 6006 (D) 1060 (E) 5994

2. The difference between (\frac{1}{20}) and (\frac{2}{10}) is equal to: (A) 0 (B) (\frac{1}{10}) (C) (\frac{3}{5}) (D) (\frac{3}{10}) (E) (\frac{3}{20})

3. In the diagram below, the value of (x) is: (A) 100 (B) 110 (C) 120 (D) 130 (E) 140

4. The expression (\frac{200 \times 8}{200 \div 8}) equals: (A) 1 (B) 8 (C) 16 (D) 64 (E) 200

5. The minimum value that can be obtained from the quadratic expression (x^2 - 4x + 3) is: (A) -1 (B) -3 (C) 1 (D) 3 (E) 2

6. If 3 yuan is divided between two people, with one person receiving 0.5 yuan more than the other, what is the ratio of the larger share to the smaller share? (A) 6:1 (B) 7:5 (C) 4:3 (D) 5:3 (E) 7:4

7. Write down the number of digits in (1000^{2008}): (A) 2009 (B) 6024 (C) 6025 (D) 8032 (E) 2012

8. Given a semicircle constructed externally on one side of an equilateral triangle as shown, the ratio of the area of the semicircle to the area of the equilateral triangle is: (A) 1:1 (B) (\pi : 2\sqrt{3}) (C) (\pi : \sqrt{3}) (D) (\sqrt{3} : \pi) (E) 3: (\pi)

英文真题

Senior Division
Questions 1 to 10, 3 marks each

1. The value of $8002 - 2008$ is
   (A) 200 (B) 8 (C) 6006 (D) 1060 (E) 5994

2. The difference between $\frac{1}{20}$ and $\frac{2}{10}$ is
   (A) 0 (B) $\frac{1}{10}$ (C) $\frac{3}{5}$ (D) $\frac{3}{10}$ (E) $\frac{3}{20}$

3. In the diagram, $x$ equals
   100° 80° 110°
   (A) 100 (B) 110 (C) 120 (D) 130 (E) 140

4. The value of $\frac{200 \times 8}{200 \div 8}$ is
   (A) 1 (B) 8 (C) 16 (D) 64 (E) 200

5. The smallest value that $x^2 - 4x + 3$ can have is
   (A) -1 (B) -3 (C) 1 (D) 3 (E) 2

6. $3 is shared between two people. One gets 50 cents more than the other. The ratio of the larger share to the smaller share is
   (A) 6:1 (B) 7:5 (C) 4:3 (D) 5:3 (E) 7:4