2009 澳洲 AMC D-Intermediate 真题 答案 详解

中英双语真题

Intermediate Paper (9-10 Grade)

1-10 questions, 3 points each

1. Expression: $(2000+9)+(2000-9)$ equals
   (A) 4000 (B) 4009 (C) 200 (D) 2000 (E) 5000

2. In the right figure, $x$ value equals
   (A) 140 (B) 122 (C) 80 (D) 90 (E) 98

3. Expression: $\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}$ equals
   (A) $\frac{1}{5}$ (B) $\frac{5}{7}$ (C) $\frac{1}{6}$ (D) $\frac{1}{15}$ (E) $\frac{1}{60}$

4. Which option has the largest value?
   (A) $\frac{1}{3}$ (B) $\frac{1}{3} + \frac{1}{3}$ (C) $\frac{1}{3} \times \frac{1}{3}$ (D) $\frac{1}{3} - \frac{1}{3}$ (E) $\frac{1}{3} \div \frac{1}{3}$

5. What number should be filled in the blank box so that the expression $0.1 \times 0.2 \times 0.3 \times 0.4 \times \square = 0.12$ is correct?
   (A) 500 (B) 50 (C) 5 (D) 0.5 (E) 0.05

6. Given $3^k = 9^{30}$, then $k$ equals
   (A) 15 (B) 30 (C) 40 (D) 60 (E) 90

7. Polynomial: $(x-y)-2(y-z)+3(z-x)$ equals
   (A) $-2x-3y+5z$ (B) $-2x-3y-z$ (C) $4x+y-z$ (D) $4x+3y-z$ (E) $2x+3y-5z$

8. If point $(k,17)$ lies on the line connecting points $(1,5)$ and $(4,11)$, then $k$ equals
   (A) 37 (B) 14 (C) 8 (D) 6 (E) 7

英文真题

Intermediate Division
Questions 1 to 10, 3 marks each

1. ((2000 + 9) + (2000 - 9)) equals
   (A) 4000
   (B) 4009
   (C) 200
   (D) 2000
   (E) 5000

2. In the diagram, (x) equals
   (A) 140
   (B) 122
   (C) 80
   (D) 90
   (E) 98

3. The value of (\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}) is
   (A) (\frac{1}{5})
   (B) (\frac{5}{7})
   (C) (\frac{1}{6})
   (D) (\frac{1}{15})
   (E) (\frac{1}{60})

4. Which of the following has the largest value?
   (A) (\frac{1}{3})
   (B) (\frac{1}{3} + \frac{1}{3})
   (C) (\frac{1}{3} \times \frac{1}{3})
   (D) (\frac{1}{3} - \frac{1}{3})
   (E) (\frac{1}{3} \div \frac{1}{3})

5. Which of the following values can replace the box so that
   (0.1 \times 0.2 \times 0.3 \times 0.4 \times \square = 0.12?)
   (A) 500
   (B) 50
   (C) 5
   (D) 0.5
   (E) 0.05

6. If (3^k = 9^{30}) then (k) equals
   (A) 15
   (B) 30
   (C) 40
   (D) 60
   (E) 90