2022年-AMC10数学竞赛A卷-附中文翻译和答案.docx

2022年-AMC10数学竞赛A卷-附中文翻译和答案 2022年-AMC10数学竞赛A卷-附中文翻译和答案 本文关键词：中文翻译，数学竞赛，答案，AMC10 2022年-AMC10数学竞赛A卷-附中文翻译和答案 本文简介：2022AMC10美国数学竞赛A卷2022年AMC10美国数学竞赛A卷1.Acellphoneplancosts$20eachmonth,plus5￠pertextmessagesent,plus10￠foreachminuteusedover30hours.InJanuaryMichellesen 2022年-AMC10数学竞赛A卷-附中文翻译和答案 本文内容： 2022AMC10美国数学竞赛A卷 2022年A M C1 0美 国 数 学 竞 赛 A 卷 1. A cell phone plan costs $20 each month,plus 5￠ per text message sent,plus 10￠ for each minute used over 30 hours. In January Michelle sent 101 text messages and talked for 30.5 hours. How much did she have to pay? (A) $24.00(B) $24.50(C) $25.50(D) $28.00(E) $30.00 2. A small bottle of shampoo can hold 35 milliliters of shampoo,Whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy? (A) 11(B) 12 (C) 13(D) 14(E) 15 3. Suppose [a b] denotes the average of a and b,and {a b c} denotes the average of a,b,and c. What is {{1 1 0} [0 1] 0}? (A) (B) (C) (D) (E) 4. Let X and Y be the following sums of arithmetic sequences: X= 10 + 12 + 14 + … + 101. Y= 12 + 14 + 16 + … + 102. What is the value of ? (A) 92(B) 101(C) 101(D) 102(E) 112 5. At an elementary school,the students in third grade,fourth grade,and fifth grade run an average of 12,15,and 10 minutes per day,respectively. There are twice as many third graders as fourth graders,and twice as many fourth graders as fifth graders. What is the average number of minutes run per day by these students? (A) 12(B) (C) (D) 13 (E) 14 6. Set A has 20 elements,and set B has 15 elements. What is the smallest possible number of elements in A∪B,the union of A and B? (A) 5(B) 15(C) 20(D) 35 (E) 300 7. Which of the following equations does NOT have a solution? (A) (B) (C) (D) (E) 8. Last summer 30% of the birds living on Town Lake were geese,25% were swans,10% were herons,and 35% were ducks. What percent of the birds that were not swans were geese? (A) 20(B) 30 (C) 40(D) 50 (E) 60 9. A rectangular region is bounded by the graphs of the equations y=a,y=-b,x=-c,and x=d,where a,b,c,and d are all positive numbers. Which of the following represents the area of this region? (A) ac + ad + bc + bd(B) ac – ad + bc – bd(C) ac + ad – bc – bd (D) –ac –ad + bc + bd (E) ac – ad – bc + bd 10. A majority of the 20 students in Ms. Deameanor’s class bought pencils at the school bookstore. Each of these students bought 。