2006 澳洲 AMC E-Senior 真题 答案 详解

英文真题

Senior Division
Questions 1 to 10, 3 marks each

1. The value of (\frac{6 \times 25}{3 \times 5 \times 2}) is
   (A) 1
   (B) 2
   (C) 3
   (D) 5
   (E) 6

2. If (a = 2b - 5), then (b) equals
   (A) (\frac{a}{2})
   (B) (\frac{a}{2} + 5)
   (C) (\frac{a-5}{2})
   (D) (\frac{a+5}{2})
   (E) (2a + 5)

3. In the diagram, (\angle POR = 120^\circ) and (\angle QOS = 145^\circ). The size of (\angle TOV) is
   (A) (45^\circ)
   (B) (60^\circ)
   (C) (85^\circ)
   (D) (90^\circ)
   (E) (95^\circ)

4. Which of the following is equal to (\frac{7}{x^2})?
   (A) ((7x)^{-2})
   (B) (\frac{1}{7x})
   (C) (\frac{1}{7x^2})
   (D) (\frac{x^2}{7})
   (E) (7x^{-2})

5. In the figure, if the line has gradient (-1), what is the (y)-intercept?
   (A) 4
   (B) 2
   (C) 6
   (D) 7
   (E) 5

6. The pages of a book are consecutive whole numbers. If you begin reading at the top of page (x) and stop reading at the bottom of page (y), the number of pages you have read is
   (A) (x-y)
   (B) (y-x)
   (C) (x+y)
   (D) (y-x+1)
   (E) (y-x-1)