2007 澳洲 AMC E-Senior 真题 答案 详解

中英双语真题

Advanced Test (11-12th Grade)

1-10 questions, 3 points each

1. Calculate (2(5.61 - 4.5)): (A) 3.1 (B) 10.48 (C) 2 (D) 2.22 (E) 6.72

2. If (2^n + 2^n = 2^m), then: (A) (n+n=m) (B) (n+1=m) (C) (4n=m) (D) (m+1=n) (E) (n^2=m)

3. In the right figure, PQR is a straight line. Find the value of x: (A) 30 (B) 45 (C) 50 (D) 60 (E) 150

4. Which fraction is the largest? (A) (\frac{7}{15}) (B) (\frac{3}{7}) (C) (\frac{6}{11}) (D) (\frac{4}{9}) (E) (\frac{1}{2})

5. Xiaoyu started calling at 10:57 am with a call rate of $0.89 per minute. The total cost was $6.23. When did Xiaoyu end the call? (A) 11:27 am (B) 11:14 am (C) 11:04 am (D) 11:46 am (E) 11:05 am

6. Given two lines represented by equations (2x+y=q) and (y=x-p) intersecting at point (2, k). Find the value of (p+q): (A) 2 (B) 3 (C) 4 (D) 5 (E) 6

7. In an equilateral triangle PQR, QS and QT divide ∠PQR into three equal parts. What is the measure of ∠QTS? (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

8. Jinyi's age is a prime number, Andy's age is one year older than Jinyi's and has 8 factors. Which of the following numbers could be their combined ages? (A) 27 (B) 39 (C) 75 (D) 87 (E) 107

英文真题

Senior Division
Questions 1 to 10, 3 marks each

1. (2(5.61 - 4.5)) equals
   (A) 3.1 (B) 10.48 (C) 2 (D) 2.22 (E) 6.72

2. If (2^n + 2^n = 2^m), then
   (A) (n+n=m) (B) (n+1=m) (C) (4n=m) (D) (m+1=n) (E) (n^2=m)

3. (PQR) is a straight line. The value of (x)
   (A) 30 (B) 45 (C) 50 (D) 60 (E) 150

4. Of the following, which is the largest fraction?
   (A) (\frac{7}{15}) (B) (\frac{3}{7}) (C) (\frac{6}{11}) (D) (\frac{4}{9}) (E) (\frac{1}{2})

5. Nicky started a mobile phone call at 10:57 am. The charge for the call was 89 cents per minute and the total cost for the call was $6.23. Nicky's call ended at
   (A) 11:27 am (B) 11:14 am (C) 11:04 am (D) 11:46 am (E) 11:05 am

6. The straight lines with equations (2x+y=q) and (y=x-p) meet at the point ((2,k)). The value of (p+q) is
   (A) 2 (B) 3 (C) 4 (D) 5 (E) 6