2026希望杯国际数学邀请赛巅峰对决IHC6-TS2团队速度赛第二轮六年级数学试题

International Hope Cup Mathematics Invitational 2026 Global Peak Challenge (IHC 6) 2026希望杯国际数学邀请赛巅峰对决(HC6) Team Speed Rounds团队速度赛 There are a total of 12 questions,divided into two rounds with 6 questions each.Each question is worth 10 points,for a total of 120 points. Time limit:Round 1-10 minutes;Round 2-10 minutes. Discussion is allowed.Each team will answer one set of question papers and submit only one answer sheet. 共12道题，分两轮进行，每轮6题，每题10分，共120分。 限时：第1轮，10分钟；第2轮，10分钟。 允许讨论，每个队答一份试卷，只提交一份答题卡。 Second Round第二轮 TS-2-1.Brenda is preparing for a traffic rules test.There are 20 questions in the test. After completing 15 questions,Brenda's accuracy rate is 67%.If each question is worth 5 points,what is the highest possible score Brenda can achieve after completing all 20 questions? Brenda在准备交通规则考试，一套卷子有20道题，在做完15题后，Brenda 的正确率是67%，如果每题5分，则20题答完Brenda的得分最高是多少？ TS-2-2.A balance scale is provided with one weight each of 1g,3g,9g,27g,81g, 243g,729g,and 2187g.The weights can be placed on either side of the balance scale.If an object weighing 2026g is to be weighed in a single measurement, what is the total weight of the unused weights? 现有一台天平，配有1g、3g、9g、27g、81g、243g、729g、2187g砝码各一 枚，砝码可任意放置在天平两侧。现要一次称出2026g的物品，则未使用的 砝码总重量是多少克？ International Hope Cup Mathematics Invitational TS-2-3.In AABC,point D lies on side AB,and AD =2DB.Point E lies on side AC, and CE =3AE.Given that the area of AADE is 12 cm2,what is the area of △ABC? 在△ABC中，点D在AB边上，且AD=2DB;点E在AC边上，CE=3AE。 已知△ADE的面积是12cm2,则△ABC的面积是多少cm?? TS-2-4.There is a table of numbers amranged according to a pattern.The first row is sequence A:1,5,9,13,17,; the second row is sequence B:4,8,12,16,20,... The product of the two numbers in the same column is recorded as Pi(1x4), P2(5x8),P3(9x12),...respectively When the product P first becomes greater than 2000,what is the corresponding number in the first row(sequence A)of that column? 有一组按照规律排列的数表，第一行为数列A:1,5,9,13,17,; 第二行为数列B:4,8,12,16,20,…。若把同一列上、下两个数的乘 积依次记为P1(1×4),P3(5×8),P3(9×12),…,当乘积Pn首次大于 2000时，该列第一行数列A对应的数是多少？ TS-2-5.A nine-digit number 4B2026CDE is divisible by 2026,and A,B,C,D,and E are all different from each other.When 4B2026CDE takes the minimum value, what is the value of 4+B+C+D+E? 九位数AB2026CDE能被2026整除，而且A、B、C、D、E互不相同，当 AB2026CDE取最小值时，A+B+C+D+E的和是多少？ International Hope Cup Mathematics Invitational TS-2-6.As shown in the figure,water flows clockwise at a constant speed of 1 meter per second in a circular waterway.Two boats start simultaneously from point A The first boat travels downstream with a speed of 5 meters per second (its speed in still water),while the second boat travels upstream with a speed of 3 meters per second (its speed in still water).When the second boat starts,it drops a piece of cargo into the water,and the cargo drifts freely with the current.After traveling for 10 minutes,the second boat discovers that the cargo is missing and immediately turns around to travel downstream to catch up with the cargo.At the exact moment when the second boat catches up with the cargo,the first boat catches up with the second boat.It is known that before turning around,the second boat had neither met the cargo nor met the first boat.What is the circumference of the circular waterway? 如图，环形水道中水以1米/秒的速度顺时针匀速流动，甲、乙两船同时从A 点出发，甲船顺水行驶，船速（静水速度）5米/秒：乙船逆水行驶，船速（静 水速度)3米/秒。乙船出发时掉落一件货物，货物随水流自由漂流。乙船行 驶10分钟后发现货物遗失，立刻调头顺水追赶货物：当乙船追上货物的瞬 间，甲船恰好追上乙船。已知乙船调头前既未与货物相遇，也未与甲船相遇， 则环形水道的周长为多少米？ ternational Hope Cup International Hope Cup International Hope Cup Mathematics Invitational Answer(答案) Question TS-2-1 TS-2-2 TS-2-3 TS-2-4 TS-2-5 TS-2-6 题目 Answer 75 768 72 45 18 6000 答案 International Hope Cup International Hope Cup Hope Cup International Hope Cup International Hope C nternational Hope Cup International Hope Cup 4