2026希望杯国际数学邀请赛巅峰对决IHC4-TS1团队速度赛第一轮四年级数学试题

Mathematics Invitational International Hope Cup 2026 Global Peak Challenge (IHC 4) 2026希望杯国际数学邀请赛巅峰对决(HC4) nternation 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.Write 20 as the sum of several distinct odd positive integers.If the order of the addends is not considered,how many different ways are there to make such a decomposition? 把20拆分为若干个互不相同的奇数相加的形式，不计加数顺序，一共有多 少种拆分方法？ TS-1-2.Calculate:20÷26÷202×606606. 计算：20÷26÷202×606606。 International Hope Cup International Hope Cup Mathematics Invitational TS-1-3.As shown in the figure,,,ando represent four different numbers The sum of the six numbers in each hexagon is the same.Find the value of 果+2×（◆+◆. 如图，”，◆，◆，分别代表四个互不相等的数，每个图中六个数的和相 同，那么”++2×（◆+等于多少？ 3 TS-1-4.Leo,Mark,and David each have a number of marbles.First,Leo gives some of his marbles to Mark and David so that both Mark and David end up with twice as many marbles as they originally had.Next,Mark gives some of his marbles to Leo and David so that both Leo and David end up with twice as many marbles as they originally had.Finally,David gives some of his marbles to Leo and Mark so that both Leo and Mark end up with twice as many marbles as they originally had.At the end,each of the three has 64 marbles.How many marbles did Leo originally have? Leo、Mark、David三人各有若干枚弹珠。首先Leo把自己的弹珠分给Mark 和David,使Mark和David的弹珠数各增加到原来的2倍；接着Mark把自 己的弹珠分给Leo和David,使Leo和David的弹珠数各增加到原来的2倍： 最后David把自己的弹珠分给Leo和Mark,使Leo和Mark的弹珠数各增加 到原来的2倍。此时，三人各有64枚弹珠。L0原来有多少枚弹珠？ ational Hope Cup International Hope Cup Mathematics Invitational TS-1-5.There are M identical balls to be placed into 3 distinct boxes.Each box must contain at least one ball.If there are 10 different ways to distribute the balls,find the value of M. 有M个完全相同的球，放入3个不同的盒子中，要求每个盒子至少有1个 球。一共有10种不同的放法。求M。 TS-1-6.On Magic Island,only one type of coin is in circulation.It has been discovered that counterfeit coins exist.All genuine coins have the same weight, all counterfeit coins have the same weight,and every counterfeit coin is lighter than a genuine coin.There are four coins that are identical in appearance, including both genuine and counterfeit coins.Using a balance scale with no weights,what is the minimum number of weighings required to guarantee determining whether each of the four coins is genuine or counterfeit? 神奇岛上仅流通一种硬币，现已发现假币。所有真币重量相同，所有假币重 量相同，且一枚假币比一枚真币轻。现有4枚外观完全相同的硬币，其中既 有真币也有假币。使用无砝码的天平称量，要保证确定每一枚硬币的真假， 至少需要称量多少次？ hternational Hope Cup aInternational Hope Cup 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 2310 19 104 6 3 答案 International Hope Cup International Hope Cup Hope Cup International Hope Cup International Hope C nternational Hope Cup International Hope Cup