2011 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. The expression (3x(x - 4) - 2(5 - 3x)) equals: (A) (3x^2 - 3x - 14) (B) (3x^2 - 6x - 10) (C) (3x^2 - 18x + 10) (D) (3x^2 - 18x - 10) (E) (9x^2 - 22x)

2. A coach found that for every 5 members in his club, 2 are university students. If there are 12 university students in his club, how many members does the club have? (A) 20 (B) 24 (C) 30 (D) 36 (E) 60

3. Calculate (14 \div 0.4) equal to: (A) 3.5 (B) 35 (C) 5.6 (D) 350 (E) 0.14

4. In the right figure, ABCD is a square. Find the value of x. (A) 142 (B) 128 (C) 48 (D) 104 (E) 52

5. Which of the following values is the largest? (A) 210 (B) (2^{10}) (C) (10^2) (D) (20^1) (E) (21^0)

6. Given m and n are positive integers such that mn = 100, then m+n cannot be equal to: (A) 25 (B) 29 (C) 50 (D) 52 (E) 101

7. In the square PQRS, point T lies on RS such that QT = 2RT. What is the value of x? (A) 100 (B) 110 (C) 120 (D) 150 (E) 160

英文真题

Senior Division
Questions 1 to 10, 3 marks each

1. The expression $3x(x-4)-2(5-3x)$ equals
   (A) $3x^2 - 3x - 14$
   (B) $3x^2 - 6x - 10$
   (C) $3x^2 - 18x + 10$
   (D) $3x^2 - 18x - 10$
   (E) $9x^2 - 22x$

2. A coach notices that 2 out of 5 players in his club are studying at university. If there are 12 university students in his club, how many players are there in total?
   (A) 20
   (B) 24
   (C) 30
   (D) 36
   (E) 60

3. The value of $14 \div 0.4$ is
   (A) 35
   (B) 350
   (C) 5.6
   (D) 0.14
   (E) 3.5

4. In the diagram, ABCD is a square. What is the value of $x$?
   (A) 142
   (B) 128
   (C) 48
   (D) 104
   (E) 52

5. Which of the following is the largest?
   (A) 210
   (B) $2^{10}$
   (C) $10^2$
   (D) $20^1$
   (E) $21^0$

6. If $m$ and $n$ are positive whole numbers and $mn = 100$, then $m+n$ cannot be equal to
   (A) 25
   (B) 29
   (C) 50
   (D) 52
   (E) 101