2013 澳洲 AMC A-MiddlePrimary 真题 答案 详解

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中英双语真题

Elementary School Intermediate Grades (3-4 Grade) Paper 1-10 questions, 3 points each
1. How many years after AD 2013 have passed?
(A) 2003 (B) 2013 (C) 2014 (D) 2023 (E) 2113

1. How many edges does a cube have?
   (A) 4 (B) 6 (C) 8 (D) 9 (E) 12

2. The track around Xiaolan's school is 400 meters long, and she ran three laps. How far did she run in total?
   (A) 300 m (B) 600 m (C) 800 m (D) 1200 m (E) 3000 m

3. What fraction of the rectangle below is shaded?
   (A) One-fifth (B) Two-fifths (C) Two-thirds (D) One-third (E) Three-fifths

4. What is three times the difference between 9 and 3?
   (A) 6 (B) 9 (C) 18 (D) 36 (E) 81

5. The hat Xiaozhen wears has "COTTON CLUB" written on it. When she looks into the mirror, what will she see?
   (A) BUJID NOTTOO (B) COTTON CLUB (C) BULJ NOTTOD (D) COLTON CTNUB (E) BULJ NOTTOL

英文真题

Middle Primary Division
Questions 1 to 10, 3 marks each

1. Ten years after the year 2013 will be
   (A) 2003 (B) 2013 (C) 2014 (D) 2023 (E) 2113

2. How many edges does a cube have?
   (A) 4 (B) 6 (C) 8 (D) 9 (E) 12

3. Each lap of Laura's school running track is 400 metres long. She runs 3 laps. How far does she run?
   (A) 300 m (B) 600 m (C) 800 m (D) 1200 m (E) 3000 m

4. What fraction of this rectangle is shaded?
   (A) one-fifth (B) two-fifths (C) two-thirds (D) one-third (E) three-fifths

真题文字详解(英文)

Middle Primary Division - Solutions

1. The value of 2013 + 10 = 2023, hence (D).

2. A cube has 12 edges, hence (E).

3. Laura runs 400 × 3 = 1200 m, hence (D).

4. (Also UP1) There are 5 equal squares and 3 are shaded, so the fraction is ( \frac{3}{5} ), hence (E).

5. The difference between 9 and 3 is 9 − 3 = 6 and 3 × 6 = 18, hence (C).

6. The correct answer is (D). (A) does not have the N reflected, (B) does not have the B reflected, (C) has none of B, L or N reflected and (E) does not have the L reflected, hence (D).

7. Sally finished on square 7. Reversing the sequence of events, back 3 to square 4, forward 4 to square 8, back 6 to square 2, which is where she started, hence (B).

8. Continuing the spiral pattern, we find

9. The largest number is 321 and the smallest is 123. 321 − 123 = 198, hence (A).