2019 澳洲 AMC D-Intermediate 真题 答案 详解
2019-10-06序号 | 文件列表 | 说明 | ||
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1 | 2019-D-Intermediate-paper-eng-zh.pdf | 12 页 | 420.46KB | 中英双语真题 |
2 | 2019-D-Intermediate-paper-eng.pdf | 8 页 | 171.97KB | 英文真题 |
3 | 2019-D-Intermediate-key.pdf | 1 页 | 64.27KB | 真题答案 |
4 | 2019-D-Intermediate-solution-eng.pdf | 9 页 | 2.21MB | 真题文字详解(英文) |
中英双语真题
1-10 Questions 1 to 10, 3 marks each
1. 算式 20.19 - 19 之值等于 The value of 20.19 - 19 is
(A) 39.19 (B) 20.38 (C) 20 (D) 1.19 (E) 1
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小姗的钢琴课历时40分钟,她在下午4:10 下课。请问她在什么时刻开始上课? Sharyn's piano lesson was 40 minutes long, and finished at 4:10 pm. When did it start?
(A) 下午3:30 (B) 下午3:40 (C) 下午3:50 (D) 下午4:40 (E) 下午4:50
(A) 3:30 pm (B) 3:40 pm (C) 3:50 pm (D) 4:40 pm (E) 4:50 pm -
请问下列哪一个选项内的数最接近7 × 1.8? Which of the following is closest to 7 × 1.8?
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14 -
请问右图中涂上阴影的三角形之面积为? What is the area of the shaded triangle?
(A) 8 m² (B) 12 m² (C) 14 m² (D) 20 m² (E) 24 m²
英文真题
Intermediate Division
Questions 1 to 10, 3 marks each
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The value of $20.19 - 19$ is
(A) 39.19 (B) 20.38 (C) 20 (D) 1.19 (E) 1 -
Sharyn's piano lesson was 40 minutes long, and finished at 4:10 pm. When did it start?
(A) 3:30 pm (B) 3:40 pm (C) 3:50 pm (D) 4:40 pm (E) 4:50 pm -
Which of the following is closest to $7 \times 1.8$?
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14 -
What is the area of the shaded triangle?
(A) $8 m^2$ (B) $12 m^2$ (C) $14 m^2$ (D) $20 m^2$ (E) $24 m^2$ -
Five-eighths of a number is 200. What is the number?
(A) 120 (B) 320 (C) 275 (D) 75 (E) 280 -
Every row and every column of this $3 \times 3$ square must contain each of the numbers 1, 2 and 3. What is the value of $N + M$?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
真题文字详解(英文)
2019 AMC Intermediate Solutions 1. $20.19 - 19 = 1.19$, hence (D). 2. 40 minutes before 4:10 pm is 3:30 pm, hence (A). 3. $7 \times 1.8 = 12.6$, which is closest to 13, hence (D). 4. (Also S2) The shaded triangle has base $b=6$ m and perpendicular height $h=4$ m. Its area is $A=\frac{1}{2}bh=\frac{1}{2}\times 6\times 4=12$ square metres, hence (B). 5. One-eighth of the number is $200\div 5=40$, so eight-eighths of the number is $8\times 40=320$, hence (B). 6. (Also UP12, J11) No row or column has repeated numbers, so these two squares can only have 3: Then the remainder of the grid is easily filled in: | 1 | 3 | 2 | 3 | 2 | 1 | 2 | 1 | 3 | Then $N=1$ and $M=3$ so that $M+N=4$, hence (C). 7. (Also J12) The parts of the paper either side of each fold will be the mirror image of each other. Option (B) and no other has this property, hence (B). 8. A square has 4 equal sides, so the squares have side 12. Then the rectangle is $12\times 24$, which has perimeter $2\times 12+2\times 24=72$, hence (B). www.amt.edu.au | 55