2026希望杯国际数学邀请赛巅峰对决IHC6-TS1团队速度赛第一轮六年级数学试题

Mathematics Invitational International Hope Cup 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。 First Round第一轮 TS-1-1.Calculate:2024×2026-2023×2027+2022×2028--2017×2033 算式2024×2026-2023×2027+2022×2028-.-2017×2033的结果是多少？ TS-1-2.As shown in the figure,AB=30,AD=16,and AE:ED-3:1,BF:FE=1:2.Points G and II are the midpoints of CF and DG,respectively.Find the area of the shaded region. 如图，已知线段AB=30,AD=16,线段比例AE:ED=3:1,BF:FE=1:2, 点G、H分别是CF和DG的中点，则图中阴影部分的面积是多少？ A B F Hope Cup G national Hope E H Mathematics Invitational International Hope Cup TS-1-3.The positive integers are grouped according to the following rule:(1),(2,3,4), (5,6,7,8,9),(10,11,12,13,14,15,16),......Each group consists of consecutive positive integers,and the numbers of elements in the groups are 1,3,5, 7,......respectively.What is the sum of all the numbers in the 20th group? 将非零自然数按如下规则分组：(1)，(2,3,4)，(5,6,7,8,9)，(10,11， 12,13,14,15,16),…,每组均为连续自然数，各组包含数的个数依次 为1,3,5,7，…那么，第20组内所有数的和是多少？ TS-1-4.There are 5 married couples,making a total of 10 people.If 3 people are randomly selected from them,and the selected 3 people cannot include any married couple,how many possible selections are there? 现有5对夫妇共10人，从中随机选出3人，要求选出的3人中不包含任何一 对夫妇，一共有多少种选法？ TS-1-5.A factory has 7 production machines,numbered 1 through 7,all of which are shut down and waiting for maintenance.The maintenance times for the machines are 12,16,8,19,17,23,and 10 minutes,respectively.Each minute that a machine remains shut down results in an economic loss of $5.There are three maintenance technicians with the same efficiency starting work simultaneously.Each machine can be maintained by only one technician.When the total time required to complete all maintenance is minimized,what is the minimum total economic loss caused by the machine downtime? 工厂有7台生产设备，编号1至7，全部停机等待检修。检修每台设备耗时分 别为：12、16、8、19、17、23、10分钟，设备每停机1分钟产生5元经济损 失。现有三名工作效率相同的检修工人同时开工，每台设备仅由一人检修。在 全部设备检修完成耗时最短的情况下，设备产生的总经济损失最小为多少元？ Mathematics vitational International Hope Cup TS-1-6.Define fn)as the sum of the digits of n in its decimal representation.For example,f2026)-2+0+2+6=10.What is the smallest three-digit number n that satisfies f(n)-f2n)-f3n)? 定义m为n的十进制各位数字之和。例如2026)=2+0+2+6=10。那么满足 n)-2n)-3m)的最小三位数n是多少？ International Hope Cup International Hope Cup Hope Cup International Hope Cup International Hope C nternational Hope Cup International Hope Cup 3 International Hope Cup Mathematics Invitational Answer(答案) Question TS-1-1 TS-1-2 TS-1-3 TS-1-4 TS-1-5 TS-1-6 ationa 题目 Answer 36 45 14859 80 795 108 答案 International Hope Cup International Hope Cup Hope Cup International Hope Cup International Hope C nternational Hope Cup International Hope Cup A