2026希望杯国际数学邀请赛巅峰对决IHC4-TS2团队速度赛第二轮四年级数学试题

International Hope Cup Mathematics Invitational 2026 Global Peak Challenge (IHC 4) 2026希望杯国际数学邀请赛巅峰对决(HC4) 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.In the FIFA World Cup group stage,each group consists of four teams playing a single round-robin tournament.Each team plays one match against each of the other three teams.A win earns 3 points,a draw earns 1 point,and a loss earns 0 points.Only two teams from each group advance to the knockout stage What is the minimum number of points a team must earn to guarantee qualification? 世界杯小组赛中，每个小组有4支球队进行单循环赛，每支球队与另外三支 球队各比赛一场。每场比赛胜者得3分，平局双方各得1分，负者得0分。 每个小组最终只有2支球队可以晋级。问：一支球队至少要拿到多少分，才 能保证晋级？ International Hope Cup Mathematics Invitational TS-2-2.The product of three consecutive natural numbers is 117,600.What is the largest of the three natural numbers? 己知三个连续自然数相乘的积为117600，这三个自然数中最大的数是多少？ TS-2-3.In a certain year,there are 53 Fridays and 53 Saturdays.What day of the week is March 1 of that year? 某一年全年共有53个星期五和53个星期六，这一年的3月1日是星期几？ TS-2-4.A farmhouse contains only three types of animals:rabbits,chickens,and ducks.If 4 animals are removed,all the remaining animals are rabbits,if 8 animals are removed,all the remaining animals are chickens;and if a different group of 8 animals is removed,all the remaining animals are ducks.How many rabbits are there in the farmhouse? 农舍里仅有兔子、鸡、鸭三类动物。除去4只动物，剩下的全是兔子；除去 8只动物，剩下的全是鸡：除去不同的8只动物，剩下的全是鸭。农舍中有 多少只兔子？ hational Hope Cup nternational Hope●a 2 Mathematics vitational International Hope Cup TS-2-5.Athena and Emily play a series of scoring matches.At the beginning,both players have their own starting score.The scoring rules for each match are as follows:the winner earns 3 points,the loser loses 2 points,and in a draw,both players earn 1 point.The two players compete in a total of 20 matches.After all matches are completed,the difference between Athena's final score and her starting score is 26 points,and the difference between Emily's final score and her starting score is 6 points.How many matches did Athena win in total? Athena、Emily二人开展积分对局，两人开局均拥有基础分。对局计分规则： 单局获胜得3分，落败扣2分，平局双方各得1分。两人一共进行20局比 赛，结束后Athena的总分数与自身基础分相差26分，Emly的总分数与自 身基础分相差6分，那么Athena一共获胜多少局？ TS-2-6.There are 5 distinct positive integers with an average of 20.The sum of the three smallest numbers is 15.What is the maximum possible value of the largest number among these five numbers? 有5个互不相等的正整数，它们的平均数是20，其中最小的三个数相加的和 是15，这5个数中最大数的最大可能值是多少？ 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 50 二 6 6 78 答案 International Hope Cup International Hope Cup Hope Cup International Hope Cup International Hope C nternational Hope Cup International Hope Cup