2018 澳洲 AMC C-Junior 真题 答案 详解

中英双语真题

1-10 Questions 1 to 10, 3 marks each
1. 请问算式2+0+1+8之值等于多少?
What is 2 + 0 + 1 + 8?
(A) 9 (B) 10 (C) 11 (D) 38 (E) 2018

1. 小佳原本有 $47，她又得到 $25 的生日礼金。请问她现在有多少钱？
   Callie has $47 and then gets $25 for her birthday. How much does she have now?
   (A)$52 (B)$62 (C)$65 (D)$69 (E)$72

2. 请问算式4×10000+3×1000+2×10+4×1之值等于多少?
   The value of 4 × 10000 + 3 × 1000 + 2 × 10 + 4 × 1 is
   (A) 4324 (B) 43024 (C) 43204 (D) 430204 (E) 430024

3. 小凯用字母串珠做出右侧这个项链。
   她将它翻面过来，展现出串珠的背面。请问下列哪一项内的图是现在看起来起来的样子?
   Kate made this necklace from alphabet beads. She put it on the wrong way around, showing the back of the beads. What does this look like?
   (A) (B) (C) (D) (E)

4. 请问在下午5:34之前58分钟是什么时刻?
   What is the time 58 minutes before 5:34 pm?
   (A) 5:32 pm (B) 5:36 pm (C) 6:32 pm (D) 6:12 pm (E) 4:36 pm

5. 请问这个普遍使用的仪表所指出的值是什么?
   What value is indicated on this charisma-meter?
   (A) 36.65 (B) 37.65 (C) 38.65 (D) 37.15 (E) 37.3

英文真题

Junior Division
Questions 1 to 10, 3 marks each

1. What is 2 + 0 + 1 + 8?
   (A) 9
   (B) 10
   (C) 11
   (D) 38
   (E) 2018

2. Callie has $47 and then gets $25 for her birthday. How much does she have now?
   (A) $52
   (B) $62
   (C) $65
   (D) $69
   (E) $72

3. The value of 4 × 10000 + 3 × 1000 + 2 × 10 + 4 × 1 is
   (A) 4324
   (B) 43024
   (C) 43204
   (D) 430204
   (E) 430024

4. Kate made this necklace from alphabet beads. She put it on the wrong way around, showing the back of the beads. What does this look like?
   (A) EATX
   (B) YATE
   (C) ETAK
   (D) KATE
   (E) ETAX

5. What is the time 58 minutes before 5:34 pm?
   (A) 5:32 pm
   (B) 5:36 pm
   (C) 6:32 pm
   (D) 6:12 pm
   (E) 4:36 pm

真题文字详解(英文)

Solutions – Junior Division
1. 2 + 0 + 1 + 8 = 11, hence (C).
2. (Also UP2) She has 47 + 25 = 72 dollars, hence (E).
3. 4 × 10000 + 3 × 1000 + 2 × 10 + 4 × 1 = 40000 + 3000 + 20 + 4 = 43000 + 24 = 43024, hence (B).
4. (Also MP7, UP4) The back of the necklace will look like the mirror image of the front of the necklace. So each letter will be mirrored, and the order of the letters will be reversed:
KATE | ƎTΛK
front back
hence (A).
5. 60 minutes before 5:34 pm is 4:34 pm, so 58 minutes before 5:34 pm is 2 minutes later, which is 4:36 pm, hence (E).
6. (Also I2) The major markings are 36, 37 and 38, so the minor markings are 0.2 units apart. Then the arrow is 0.3 to the right of 37, so it is on 37.3, hence (E).
7. 1000 ÷ 7 = 142 with remainder 6, so after 142 subtractions of 7, Ishrak counts 6, hence (E).
8. Alternative 1
The upper triangle's angles add to 180°, so x° = 85°. Then x° + z° = 180°, so that z° = 95°, hence (C).