2026年上海小升初英语小升初分班考卷：数学思维与应用题分层（教师命题组版第3套）含参考答案、逐题解析与评分细则

2026年上海小升初英语小升初分班考卷：数学思维与应用题分层（教师命题组版第3套）含参考答案、逐题解析与评分细则地区/学校簇上海/教师命题组版第3套考试节点2026届小升初分班考科目英语（数学思维与应用题分层）满分100分考试时间90分钟适用对象2026年上海小升初分班考备考学生姓名________________学校/班级________________注意事项1.本卷为英语语境下的数学思维与应用题分层检测，考查英文题干理解、数量关系提取、计算准确性与表达完整性。2.选择题均为单项选择题，每题只有一个正确选项；多填、错填或涂改不清均不得分。3.填空题只写最终答案；解答题须写出主要步骤、单位和结论，答案写在指定作答区域内。4.书写应规范、清楚；计算过程可用中文或英语说明，英语表达题须按题目要求使用英语作答。选择题答题栏（第1—4题、第7题、第13题）题号1234713答案一、基础知识与计算（共30分）本部分重在考查英文数量词、百分数、比例、平均数和基础列式能力。1.（4分）Readthephrase“twiceasmanyas18”.Whatnumberdoesitmean?ABCD1836209本题答案填入选择题答题栏。2.（4分）Adictionarycosts75yuan.Itis20%off.Lilypayswitha100-yuannote.Howmuchchangeshouldsheget?ABCD15yuan25yuan40yuan60yuan本题答案填入选择题答题栏。3.（4分）Inaclass,theratioofboystogirlsis3:2.Thereare45studentsinall.Howmanyboysarethere?ABCD18212730本题答案填入选择题答题栏。4.（4分）TheaveragescoreoffourEnglishquizzesis86.Threeofthescoresare82,88and90.Whatisthefourthscore?ABCD82848688本题答案填入选择题答题栏。5.（6分）AtrainleavesShanghaiSouthRailwayStationat8:35a.m.Thetriptakes2hoursand48minutes.Itarrivesat________.答案：________________________________________________________________6.（8分）Attheschoolfair,3notebooksand2penscost47yuan.2notebooksand5penscost57yuan.Howmuchisonenotebook?Howmuchisonepen?Writethemainsteps.答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________二、能力提升题（共30分）本部分题目需要从英文材料中提取数量关系，完成表格、比例、方程和集合关系推理。7.（5分）Thetableshowsstudents’choicesforafter-schoolclubs.Whichstatementiscorrect?ClubReadingScienceSportsArtStudents24183028ABCDThereare90studentsinall.SportshasfewerstudentsthanScience.Non-sportsclubshave70studentsinall.ArthastwiceasmanystudentsasScience.本题答案填入选择题答题栏。8.（5分）Arectangularparkis120meterslongand85meterswide.Andyrunsaroundtheparktwice.Heruns________kilometersinall.答案：________________________________________________________________9.（5分）Apancakerecipefor6studentsneeds450mlofmilk,180gofflourand12strawberries.Iftheclasswantstomakepancakesfor10students,howmuchmilk,flourandstrawberriesareneeded?Ifthereareonly700mlofmilk,atmosthowmanystudentscanbeserved?答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.（5分）Ateacherputscardsintoboxes.Box1has5cards.Eachnextboxhas3morecardsthanthepreviousbox.Theteachersays,“ThenumberofcardsinBoxnisthreetimesnplustwo.”FindthenumberofcardsinBox12,andfindthefirstboxthathasmorethan50cards.答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.（5分）Foracharityshow,anadultticketis25yuanandastudentticketis12yuan.Agroupbuys46ticketsandpays786yuaninall.Howmanyadultticketsandhowmanystudentticketsarethere?答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.（5分）InaGrade6classof36students,20studentschooseDrama,22studentschooseCoding,and8studentschooseneither.HowmanystudentschoosebothDramaandCoding?HowmanychooseonlyCoding?答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

三、综合压轴与拓展（共30分）本部分重在分班筛选，题目综合英文信息阅读、分段收费、几何描述、行程与数据分析。13.（4分）InShanghai,ashorttaximodelisdescribedinEnglishasfollows:thefirst3kmcosts14yuan;eachadditionalkilometercosts2.7yuan.Ifarideisexactly8km,howmuchshoulditcostunderthismodel?ABCD21.7yuan24.8yuan27.5yuan30.2yuan本题答案填入选择题答题栏。14.（4分）Atthesametimeofasunnyday,a1.5-meterpolehasa2.4-metershadow.Atreehasan8-metershadow.Theheightofthetreeis________meters.答案：________________________________________________________________15.（5分）AclassbuysnotebooksandpensforanEnglishproject.Anotebookcosts12yuanandtheshopoffers“Buy3,get1free”fornotebooks.Theclassneeds30notebooks.Apencosts8yuan,andbuying20ormorepensgivesa10%discount.Theclassneeds20pens.Whatistheleasttotalcost?答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.（5分）Arectangularposteris30cmlongand24cmwide.Twoidenticalsquaresofsidelength6cmarecutout:onefromthetop-leftcornerandonefromthebottom-rightcorner.Findtheareaandtheperimeteroftheremainingshape.Describeyourmethodclearly.答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.（6分）KenandMaycycletowardeachotherfromtwoschools40kmapart.Kenstartsat9:00a.m.andridesat12km/h.Maystartsat9:20a.m.andridesat15km/h.Atwhattimedotheymeet?Howfarhaseachstudentriddenwhentheymeet?答：__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.（6分）AnEnglishreadingchallengerecordstheaveragepagesreadbyeachstudentinaclassof40students.Thetableshowsthefirstthreeweeks.Thetargetforfourweeksis3500pagesinall.Findthetotalpagesreadinthefirstthreeweeks,andfindtheaveragepageseachstudentmustreadinWeek4toreachthetarget.WeekWeek1Week2Week3Averagepagesperstudent182225答：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________四、分班考附加题/表达题（共10分）本部分考查学生把英文材料转化为数学模型，并用较规范的语言表达解题过程。19.（4分）Readthenoticeandanswerthequestions.Notice:“Math-EnglishCampbeginsat9:30a.m.Thebusleavesschoolat8:10a.m.andarrivesatthecampat9:25a.m.Eachteamof6studentsneeds4rulersand2calculators.Arulercosts3.5yuanandacalculatorcosts18yuan.Theschoolpayshalfofthetoolcostforeachteam.”Howlongisthebusride?Howmuchshouldthestudentsinoneteampayforthetools?答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.（6分）Englishexpressiontask.Aclassbuys48Englishreaders.Eachreaderis15yuan.Theshopsays,“Foreveryfull200yuan,youget30yuanoff.”Theclassfundhas700yuan.Writea60—90-wordEnglishexplanationtoshowthefinalpaymentandthechange.Yourexplanationshouldincludethecalculationandaclearconclusion.答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________草稿区（可用于第20题英文表达打草稿，不另行计分）：答：____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________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参考答案与详解评分总则：客观题按答案给分；填空题答案正确且单位合理给满分；解答题按步骤采分，若方法正确但计算小误可酌情扣1分；英语表达题按理解、计算、表达和结论分层给分。标准答案速查表题号答案要点分值1B，3642C，40yuan43C，27boys44B，844511:23a.m.66笔记本11元，笔7元87C，非运动类70人580.82kilometers59750ml；300g；20颗；最多9人510Box12为38张；第17个盒子首次超过50张511成人票18张，学生票28张512两项都选14人；只选Coding8人513C，27.5yuan4145meters415420元516面积648平方厘米；周长108厘米51710:40a.m.；Ken20km，May20km618前三周2600页；Week4人均22.5页61975分钟；学生支付25元420实付630元；找回70元；英文表达见范文6一、基础知识与计算1.答案：B。解析：twiceasmanyas18表示“18的两倍”，18乘2等于36。A项只重复原数，C项把twice误解为“加2”，D项是把18除以2。评分细则：选B得4分，其余不得分。2.答案：C。解析：20%off表示按原价的80%付款，75元乘80%等于60元；用100元付款，应找回40元。A项是折扣金额15元，B项漏算折后价，D项是实际付款额。评分细则：选C得4分。3.答案：C。解析：男生与女生的份数和是3加2等于5份，45人对应5份，每份9人；男生3份，所以男生27人。A项是女生人数，B项份数分配错误，D项把总人数近似分成三份。评分细则：选C得4分。4.答案：B。解析：四次测验平均分86分，总分为86乘4等于344分。已知三次为82、88、90，合计260分，第四次为344减260等于84分。评分细则：选B得4分。5.答案：11:23a.m.。解析：8:35先加2小时到10:35，再加48分钟到11:23。若只写11:23也可得满分，但需保证上午时间语境清楚。评分细则：时间正确得6分；小时或分钟进位错误扣2—4分；无单位但结果明确不扣分。6.答案：一本笔记本11元，一支笔7元。解析：设一本笔记本为n元，一支笔为p元。由题意有3n加2p等于47，2n加5p等于57。将第一式乘5得15n加10p等于235，将第二式乘2得4n加10p等于114；两式相减得11n等于121，所以n等于11。代入3n加2p等于47，得33加2p等于47，p等于7。评分细则：能设未知数或列出等价关系得2分；列对两个数量关系得3分；解出笔记本单价得1.5分；解出笔单价得1.5分；单位和结论清楚得1分。若用消元、代入或列表试算，过程合理同样给分。二、能力提升题7.答案：C。解析：非运动类社团包括Reading、Science和Art，人数为24加18加28等于70。若把Sports与Science比较，30大于18，所以B错；总人数四项相加是100，不是90，所以A错；Art是28，Science是18，并不是两倍，所以D错。评分细则：选C得5分。8.答案：0.82kilometers。解析：长方形公园一圈周长为120加85再加120加85，等于410米。Andy跑两圈，共820米，也就是0.82千米。评分细则：求出一圈410米得2分；求出两圈820米得2分；换算为0.82千米得1分。9.答案：10名学生需要750ml牛奶、300g面粉、20颗草莓；若只有700ml牛奶，最多服务9名学生。解析：6名学生对应450ml牛奶，所以每名学生75ml；180g面粉对应每名30g；12颗草莓对应每名2颗。10名学生需牛奶750ml、面粉300g、草莓20颗。700ml牛奶最多可供700除以75，即9人余25ml，不能满足第10人。评分细则：三种材料按比例正确各1分，共3分；根据牛奶限制求出最多9人得1.5分；单位和结论清楚得0.5分。10.答案：Box12有38张卡片；第17个盒子第一次超过50张。解析：第n个盒子的张数为3n加2。Box12为3乘12加2，等于38。要超过50，需3n加2大于50，即3n大于48，所以n大于16；第一个整数是17。评分细则：写出或使用规律3n加2得2分；算出38得1分；列出超过50的关系得1分；确定第17个盒子得1分。11.答案：成人票18张，学生票28张。解析：设成人票a张，学生票s张。a加s等于46，25a加12s等于786。用s等于46减a代入，得25a加12乘(46减a)等于786，即13a加552等于786，13a等于234，a等于18，s等于28。评分细则：设未知数或列等价表格得1分；列出票数关系得1分；列出金额关系得1.5分；求出成人票18张得1分；求出学生票28张并检验得0.5分。12.答案：两项都选14人；只选Coding的有8人。解析：全班36人，有8人两项都不选，所以至少选一项的有28人。Drama与Coding人数相加为20加22等于42，其中两项都选的人被重复计算一次，因此两项都选为42减28等于14人。只选Coding为22减14等于8人。评分细则：求出至少选一项28人得1分；理解重复计算并列式得2分；求出两项都选14人得1分；求出只选Coding8人得1分。三、综合压轴与拓展13.答案：C。解析：8km中前3km收费14元，额外里程为5km，费用为5乘2.7等于13.5元，总费用为27.5元。A项漏算部分里程，B项把额外里程算少，D项把8km全按2.7元叠加后又误加。评分细则：选C得4分。14.答案：5meters。解析：同一时间影长与物体高度成比例。1.5米高对应2.4米影长，树影8米，对应高度为8乘1.5再除以2.4，等于5米。评分细则：写出比例关系得2分；计算得5米得1.5分；单位正确得0.5分。15.答案：最少总费用420元。解析：笔记本“买3送1”表示每4本只付3本的钱。30本可先按7组4本获得28本，付21本的钱；余下2本按原价付2本的钱，共付23本的钱，费用为23乘12等于276元。20支笔满足九折条件，费用为20乘8乘90%，等于144元。总费用为276加144等于420元。评分细则：正确理解买3送1并算出笔记本付23本的钱得2分；算出笔记本276元得1分；算出笔144元得1分；总价420元及结论得1分。易错点：把30本直接按四分之三付款会得到2