2016 澳洲 AMC C-Junior 真题 答案 详解

中英双语真题

1-10 Questions, 3 marks each
Questions 1 to 10, 3 marks each

1. 算式 2016 × 2 等于 The value of 2016 × 2 is
   (A) 4026 (B) 4212 (C) 4022 (D) 432 (E) 4032

2. 在右图中，请问 x 之值是什么？ In the diagram, the value of x is
   (A) 30 (B) 20 (C) 90 (D) 140 (E) 100

3. 若今天为星期四，请问 30 天后是星期几？ Today is Thursday. What day of the week will it be 30 days from today?
   (A) 星期日 Sunday (B) 星期一 Monday (C) 星期二 Tuesday (D) 星期五 Friday (E) 星期六 Saturday

4. 某城市今天的最低温为 -5°C，而最高温则比它高 8°C。请问今天的最高温是多少？ Today in Berracan, the minimum temperature was -5°C and the maximum was 8°C warmer than this. What was the maximum temperature?
   (A) -3°C (B) 8°C (C) -13°C (D) 13°C (E) 3°C

5. 请问 (\frac{1}{2}) 的 25% 等于什么？ What is 25% of (\frac{1}{2})?
   (A) (\frac{1}{8}) (B) (\frac{1}{4}) (C) (\frac{1}{2}) (D) 2 (E) 1

英文真题

Junior Division
Questions 1 to 10, 3 marks each

1. The value of (2016 \times 2) is
   (A) 4026
   (B) 4212
   (C) 4022
   (D) 432
   (E) 4032

2. In the diagram, the value of (x) is
   (A) 30
   (B) 20
   (C) 90
   (D) 140
   (E) 100

3. Today is Thursday. What day of the week will it be 30 days from today?
   (A) Sunday
   (B) Monday
   (C) Tuesday
   (D) Friday
   (E) Saturday

4. Today in Berracan, the minimum temperature was −5°C and the maximum was 8°C warmer than this. What was the maximum temperature?
   (A) −3°C
   (B) 8°C
   (C) −13°C
   (D) 13°C
   (E) 3°C

5. What is 25% of (\frac{1}{2})?
   (A) (\frac{1}{8})
   (B) (\frac{1}{4})
   (C) (\frac{1}{2})
   (D) 2
   (E) 1

6. A circular piece of paper is folded in half twice and then a cut is made as shown. When the piece of paper is unfolded, what shape is the hole in the centre?
   (A)
   (B)
   (C)
   (D)
   (E)

真题文字详解(英文)

Solutions - Junior Division 1. 2016 × 2 = 4032, hence (E). 2. The angles in the triangle add to 180°, so x = 180 – 20 – 20 = 140, hence (D). 3. 30 days is 4 weeks and 2 days. So 30 days from today is the same as 2 days, which is a Saturday, hence (E). 4. −5 + 8 = 3, hence (E). 5. 25% is ¼, so 25% of ½ is ¼ × ½ = ⅛, hence (A). 6. (Also MP12) Each time the paper is unfolded, the two parts will be reflections of each other through the fold line. hence (A). 7. 100 − (29 + 16 + 8.95) = 100 − 53.95 = 46.05, hence (C). 8. In order, 0.009 < 0.019 < 0.08 < 0.109 < 0.4 < 0.409 < 0.91, hence (C). 9. 12 noon is 10 minutes after starting, 1 pm is 70 minutes, so 1:04 pm is 74 minutes, hence (D). 10. (Also I4) Estimating, 720163/2016 ≈ 720000/2000 = 720/2 = 360. This suggests that 100 < 720163/2016 < 1000. Checking, 201600 < 720163 < 2016000 and so 100 < 720163/2016 < 1000, hence (D).