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Each problem is followed by answer choices labeled A through E with exactly one correct option. The test is completed within 75 minutes without calculators or other aids besides scratch paper, graph paper, rulers, and erasers. 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Allowed aids are scratch paper, graph paper, rulers, and erasers; no calculator is permitted.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the score calculated for correct, incorrect, and unanswered questions?",{"text":121,"@type":113},"Each correct answer earns 6 points. Each unanswered question earns 1.5 points, and each incorrect answer earns 0 points.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},444292,1790742723,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":56,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?_k=1776742907772140068","American Mathematics Competitions  \nPractice 10  \nAMC 10  \n(American Mathematics Contest 10)  \nINSTRUCTIONS  \n1. This is a twenty-five question multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct.  \n2. You will have 75 minutes to complete the test.  \n3. No aids are permitted other than scratch paper, graph paper, rulers, and erasers. No problems on the test will require the use of a calculator.  \n4. Figures are not necessarily drawn to scale.  \n5. SCORING: You will receive 6 points for each correct answer, 1.5 points for each problem left unanswered, and 0 points for each incorrect answer.  \n1. One can holds 15 ounces of soda. What is the minimum number of cans needed to provide three gallons (1 gallon = 128 ounces) of soda?  \n(A) 27 (B) 26 (C) 25 (D) 20 (E) 18  \n2. The sums of three whole numbers taken in pairs are 17, 18, and 25. What is the middle number?  \n(A) 11 (B) 12 (C) 13 (D) 14 (E) 15  \n 1   \n3. Simplify as a common fraction:  \n 1  .  \n1 􀀎  \n2  \n1 􀀎  \n3  \n(A) 1/8 (B) 2/8 (C) 3/8 (D) 5/8 (E) 7/8  \n4. Thirty percent less than 70 is two-fifth more than what number?  \n(A) 26 (B) 30 (C) 32 (D) 35 (E) 48 4. D.  \n5. Kathy has two younger twin brothers. The product of their three ages is 1024. What is the smallest possible sum of their three ages?  \n(A) 32 (B) 24 (C) 22 (D) 18 (E) 16  \n6. In a class of 42 students, 18 students are in the Math Club, 5 students are in both the Math Club and the Science Club, and 14 are in neither. How many students are in the Science Club?  \n(A) 5 (B) 15 (C) 20 (D) 35 (E) 30  \n7. The number of centimeters in the length, width and height of a rectangular carton are consecutive integers. Find the smallest 4-digit number that could represent the number of cubic centimeters in the volume)  \n(A) 1001 (B) 1320 (C) 1331 (D) 1025 (E) 1216  \n8. A majority of the 40 students in Ms. Li’s class bought pencils at the school bookstore. Each of these students bought the same number of pencils, and this number was greater than 1. The cost of a pencil in cents was greater than the number of pencils each student bought, and the total cost of all the pencils was $20 .15. How many students in the class bought the pencils?  \n(A) 35 (B) 11 (C) 33 (D) 13 (E) 31  \n9. Which of the following is equal to Simplify 6 􀀐 ~~ ~~11 + 6 􀀎 11 .  \n(A) 22  (B) 12 (C) 12 􀀎 ~~ ~~22  (D) 6 􀀎 ~~ ~~22  (E) 2~~ ~~3  \n10. As shown below, convex pentagon ABCDE has sides AB = 3, BC = 4, CD = 6,  \nDE = 2, and EA = 7. The pentagon is originally positioned in the plane with vertex A atthe origin and vertex B on the positive x-axis. The pentagon is then rolled clockwise to the right along the x-axis. Which side will touch the point x = 2015 and be completely on the x-axis?  \n(A) AB (B) BC (C) CD (D) DE (E) EA  \n11. ABCD is a parallelogram. All the line segments inside the figure either parallel toAD, AD, or BE. How many parallelograms are there that contain the shaded triangle?  \n(A) 6 (B) 7 (C) 8 (D) 9 (E) 12  \n12. A 5 × 5 × 5 wooden cube is painted on five of its faces and is then cut into 125 unit cubes. One unit cube is randomly selected and rolled. What is the probability that the face showing is painted? Express your answer as a fraction.  \n1 1 1 2 28  \n(A) ~~ ~~ (B) ~~ ~~ (C) ~~ ~~ (D) ~~ ~~ (E) ~~ ~~  \n6 3 5 7 125  \n13. The lengths ofthe parallel bases ofa trapezoid are 14 cm and 7 cm. One of the legs has length 8 cm. How many integer values are possible for the length of the other leg?  \n(A) 6 (B) 7 (C) 8 (D) 9 (E) 13  \n14. It takes Amy 4 hours to paint a house, it takes Bill 6 hours, and it takes Chandra 8 hours. Amy starts to paint the house for one hour, then Bill continues the job for another hour, and Chandra follows Bill and works for one hour. If the pattern continues until the job is completed, how many hours does Chandra paint the house?  \n(A) 43~~ ~~ (B) 13 (C) 53~~ ~~ (D) 2 (E) 23  \n15. Alex can jog 120 meters in 1 minute, Bob can jog 80 meters in 1 minute, and Ch","cbCaihKlrr2R1zmx","https://ap.wps.com/l/cbCaihKlrr2R1zmx","pdf",933633,"English","# INSTRUCTIONS\n## Scoring rules\n## Question set (1-25)","[{\"question\":\"How many questions are in AMC Practice 10, and how are answers presented?\",\"answer\":\"The test contains 25 multiple-choice questions, and each question has answer choices marked A, B, C, D, and E with only one correct answer.\"},{\"question\":\"What are the time limit and allowed materials?\",\"answer\":\"You have 75 minutes. Allowed aids are scratch paper, graph paper, rulers, and erasers; no calculator is permitted.\"},{\"question\":\"How is the score calculated for correct, incorrect, and unanswered questions?\",\"answer\":\"Each correct answer earns 6 points. Each unanswered question earns 1.5 points, and each incorrect answer earns 0 points.\"}]","American Mathematics Competitions - Practice 10 | PDF",1790707471,48]