2003 AMC amc8 真题 答案 详解

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中英双语真题

2003 AMC8
Problem 1
Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum?
Jamie 数了一个正方体的边数，Jimmy 数了它的顶点数，Judy 数了它的面数。然后他们把这三个数字相加。结果是多少？
(A) 12 (B) 16 (C) 20 (D) 22 (E) 26

Problem 2
Which of the following numbers has the smallest prime factor?
下面哪个数有最小的质因子？
(A) 55 (B) 57 (C) 58 (D) 59 (E) 61

Problem 3
A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler?
Ricky C's 的汉堡重 120 克，其中 30 克是填料。汉堡的百分之多少不是填料？
(A) 60% (B) 65% (C) 70% (D) 75% (E) 90%

Problem 4
A group of children riding on bicycles and tricycles rode past Billy Bob's house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there?
一群骑自行车和三轮车的孩子经过 Billy Bob 的家。Billy Bob 数了数，一共数到了 7 个孩子和 19 个轮子，那么有多少辆三轮车？
(A) 2 (B) 4 (C) 5 (D) 6 (E) 7

英文真题

Compiled on: January 1, 2021 AMC8 2003 Problems Page 81 of 109 Q1. Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum? A) 12 B) 16 C) 20 D) 22 E) 26 Q2. Which of the following numbers has the smallest prime factor? A) 55 B) 57 C) 58 D) 59 E) 61 Q3. A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler? A) 60% B) 65% C) 70% D) 75% E) 90% Q4. A group of children riding on bicycles and tricycles rode past Billy Bob’s house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there? A) 2 B) 4 C) 5 D) 6 E) 7 Q5. If 20% of a number is 12, what is 30% of the same number? A) 15 B) 18 C) 20 D) 24 E) 30 Q6. Given the areas of the three squares in the figure, what is the area of the interior triangle? A) 13 B) 30 C) 60 D) 300 E) 1800 Q7. Blake and Jenny each took four 100-point tests. Blake averaged 78 on the four tests. Jenny scored 10 points higher than Blake on the first test, 10 points lower than him on the second test, and 20 points higher on both the third and fourth tests. What is the difference between Jenny’s average and Blake’s average on these four tests? A) 10 B) 15 C) 20 D) 25 E) 40 Q8. Bake Sale Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown. o Art's cookies are trapezoids.

真题文字详解(英文)

Problem 1 Problem 1 Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum? Solution On a cube, there are 12 edges, 8 corners, and 6 faces. Adding them up gets 12 + 8 + 6 = (E) 26 Problem 2 Which of the following numbers has the smallest prime factor? (A) 55 (B) 57 (C) 58 (D) 59 (E) 61 Solution The smallest prime factor is 2, and since 58 is the only multiple of 2, the answer is (C) 58 Problem 3 A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler? (A) 60% (B) 65% (C) 70% (D) 75% (E) 90% Solution There are 30 grams of filler, so there are 120 - 30 = 90 grams that aren't filler. \frac{90}{120} = \frac{3}{4} = (D) 75% Problem 4 A group of children riding on bicycles and tricycles rode past Billy Bob's house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there? (A) 2 (B) 4 (C) 5 (D) 6 (E) 7 Solution If all the children were riding bicycles, there would be 2 × 7 = 14 wheels. Each tricycle adds an extra wheel and 19 - 14 = 5 extra wheels are needed, so there are (C) 5 tricycles. Solution 2 Setting up an equation, we have a + b = 7 children and 3a + 2b = 19. Solving for the variables, we get, a = (C) 5 tricycles. Problem 5 If 20% of a number is 12, what is 30% of the same number? (A) 15 (B) 18 (C) 20 (D) 24 (E) 30 Solution 20% of a number is equal to \frac{1}{5} of that number. Let n=the number

真题文字详解(中英双语)

Problem 1 Problem 1 Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum? 杰米数了一个立方体的边数，吉米数了顶点的数量，朱迪数了面的数量。然后他们把这三个数加起来。总和是多少？ Solution On a cube, there are 12 edges, 8 corners, and 6 faces. Adding them up gets 12 + 8 + 6 = (E) 26 在一个立方体上，有 12 条边，8 个顶点，和 6 个面。把它们加起来得到 12 + 8 + 6 = (E) 26 Problem 2 Which of the following numbers has the smallest prime factor? 以下哪个数具有最小的质因数？ (A) 55 (B) 57 (C) 58 (D) 59 (E) 61 Solution The smallest prime factor is 2, and since 58 is the only multiple of 2, the answer is (C) 58 最小的质因数是 2，并且由于 58 是 2 的唯一倍数，所以答案是 (C) 58 Problem 3 A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler? Ricky C's 的汉堡重 120 克，其中 30 克是填充物。汉堡中不是填充物的百分比是多少？ (A) 60% (B) 65% (C) 70% (D) 75% (E) 90% Solution There are 30 grams of filler, so there are 120 - 30 = 90 grams that aren't filler. \frac{90}{120} = \frac{3}{4} = (D) 75%. 有 30 克的填充物，所以有 120 - 30 = 90 克不是填充物。\frac{90}{120} = \frac{3}{4} = (D) 75%. Problem 4 A group of children riding on bicycles and tricycles rode past Billy Bob's house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there? 一群骑自行车和三轮车的小孩经过了 Billy Bob 的房子。Billy Bob 数了 7 个小孩和 19 个轮子。有多少辆三轮车？ (A) 2 (B) 4 (C) 5 (D) 6 (E) 7 Solution Solution 1