2026届长沙市六年级数学小升初分班考试QS01黑白可打印标准付费预览仿真卷B1第0360套（含参考答案、逐题解析、评分细则、压轴题讲评与学生作答空间）

2026届长沙市六年级数学小升初分班考试QS01黑白可打印标准付费预览仿真卷B1第0360套（含参考答案、逐题解析、评分细则、压轴题讲评与学生作答空间）考试时间：90分钟满分：120分适用场景：长沙市六年级数学小升初分班考试考前训练姓名：____________班级：____________考号：____________得分：____________资料形态QS01黑白可打印标准仿真卷；试题区与参考答案区分开，便于先练后评。作答提示选择题填涂或填写选项；填空题写出最终结果；解答题必须写出主要过程、单位和结论。检查要求先检查题号1至25是否完整，再按顺序作答；遇到难题可先做标记，回头处理。评分提示全卷120分，过程题按步骤给分；书写清楚、单位完整、结果核验可减少失分。整卷训练重点：本卷围绕长沙市六年级数学小升初分班考试常见能力要求设计，既考查计算基本功，也考查比例、百分数、几何、统计、行程、工程和规律探究等综合应用。做题时要把题意、数量关系、运算过程和单位检查结合起来。黑白可打印使用提示：试题区保留学生作答空间，参考答案区另页呈现，便于课堂限时训练、家庭自测和讲评订正。主观题书写时请按“列式—计算—答语”的顺序完成，遇到多问题要分小问作答。卷面规范提示：选择题不要空题；填空题要写最简结果；计算题要保留关键等式；应用题答语要带单位。若结果需要取近似值，应按题目要求保留相应位数。考点与时间分配参考：题号范围主要内容建议用时卷面提醒1～8计算、比例、几何、百分数、规律、可能性16分钟先排除明显错误选项，再核算关键数值9～16分数小数百分数、因数倍数、单位换算、统计量18分钟答案写在横线上，单位和百分号不要漏写17～20分数四则运算、方程、简算、旋转成圆锥26分钟关键步骤不能跳，公式代入要清楚21～25打印合作、折扣利润、统计、环形跑道、规律探究30分钟分小问作答，答语完整，压轴题先写观察再列式作答节奏提示：前两大题要稳中求快，计算题要把主要等式写完整，综合题要把题意转化成数量关系。若最后一题暂时没有完整思路，可先完成第（1）问和第（2）问，保住可得分，再回到第（3）问和理由表达。一、选择题（本大题共8小题，每小题3分，共24分。每题只有一个正确选项。）1.计算2.5×0.4＋3/5÷0.75的结果是（）。A.1.6B.1.8C.2D.2.42.已知a:b=3:5，b:c=10:7，则a:c=（）。A.3:7B.6:7C.7:6D.10:213.一个圆柱的底面半径是3厘米，高是8厘米，它的体积是（）立方厘米。A.24πB.48πC.72πD.144π4.某数先增加20%，再减少20%，最后得到的数是原数的（）。A.80%B.96%C.100%D.104%5.按规律排列：3，8，15，24，（）。A.30B.33C.35D.386.一件商品按七五折出售后比原价便宜45元，这件商品的原价是（）元。A.120B.150C.180D.2257.一个长方形的周长是56厘米，长与宽的比是4:3，它的面积是（）平方厘米。A.168B.180C.192D.2248.袋中有3个红球、2个蓝球、5个白球，任意摸出1个球，摸到不是白球的可能性是（）。A.1/5B.2/5C.1/2D.3/5选择题答题栏：题号12345678答案二、填空题（本大题共8小题，每小题3分，共24分。请把答案写在横线上。）9.0.375化成最简分数是__________，化成百分数是__________。10.36和48的最大公因数是__________，最小公倍数是__________。11.一辆车平均每小时行72千米，行驶2小时15分钟，一共行驶__________千米。12.方程4x－1.5=2.5的解是x=__________。13.一幅地图的比例尺是1:50000，图上距离6厘米表示实际距离__________千米。14.一个圆锥的底面积是28.26平方厘米，高是5厘米，它的体积是__________立方厘米。15.一件文具的进价是160元，售价是200元，按进价计算的利润率是__________。16.一组成绩为85，90，88，92，95，这组数据的平均数是__________，中位数是__________。填空题演算区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________三、计算与简答题（本大题共4小题，每小题8分，共32分。要求写出必要过程。）17.计算：7/12＋（5/6－1/4）×3/5。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.解方程：3（2x－5）/4－（x＋1）/2=2。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________19.用合理方法计算：125×32×25。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.一个直角三角形的两条直角边分别为12厘米和16厘米。若绕较短直角边旋转一周形成圆锥，求这个圆锥的体积。（π取3.14）________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

四、综合解答题（本大题共5小题，每小题8分，共40分。请写出思考过程、计算过程和答语。）21.为准备班级数学资料，甲、乙两个打印点合作打印700页QS01黑白可打印练习材料。甲每小时打印80页，乙每小时打印60页。甲先单独打印30分钟后，乙加入一起打印。问从甲开始打印到全部完成，一共用了多少时间？________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22.长沙市某书店购进一批小升初数学训练册。每本定价48元，按八折销售仍可获得20%的利润。（1）每本训练册的进价是多少元？（2）若售出250本，一共获得利润多少元？________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23.某六年级班进行一次数学分班自测，成绩分布如下表。请根据表中数据回答问题。分数段90～10080～8970～7960～6960分以下人数8161263（1）本班共有多少人参加自测？（2）及格率是多少？（百分号前保留一位小数）（3）80分及以上的学生占全班人数的百分之几？（百分号前保留一位小数）（4）若90分及以上学生每人获得一本单价9.5元的笔记本，需准备多少元？________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________24.甲、乙两名同学在400米环形跑道上从同一点出发。甲每秒跑6米，乙每秒跑4米。（1）若两人反向跑，多少秒后第一次相遇？（2）若两人同向跑，甲多少秒后第一次追上乙？（3）若两人反向跑100秒，在这100秒内两人一共相遇几次？________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________25.压轴题：用同样大小的小正方形拼成一组有规律的图案，前四个图案所用小正方形个数如下表。图案序号n1234小正方形个数4101828（1）第5个图案需要多少个小正方形？（2）用含n的式子表示第n个图案所需小正方形个数。（3）若某个图案用了238个小正方形，求这个图案的序号。（4）用一句话说明你得到式子的理由。__________________________________________________________________________________________________________________________________________________________________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参考答案、逐题解析、评分细则与压轴题讲评本区供教师讲评和学生订正使用。答案题号与试题题号一一对应，主观题按步骤给分。一、选择题参考答案12345678BBCBCCCC二、填空题参考答案93/8；37.5%1012；144111621211331447.11525%1690；90三、整卷评分细则1.选择题每小题3分，共24分。答案唯一，选项涂写或填写清楚即可得分；同一题出现两个及以上选项，按不得分处理。若答题栏与题旁答案不一致，以答题栏为准。2.填空题每小题3分，共24分。涉及分数、百分数、单位换算和统计量的答案，要求表达规范；等值答案可以给分，但题目要求最简分数或指定单位时，未按要求书写应扣相应分。3.计算与简答题每小题8分，共32分。能体现正确运算顺序、变形依据和关键等式，可按步骤给分；结果正确但过程过于跳跃，教师可结合卷面判断扣1至2分；过程正确但末步运算小失误，可保留主要步骤分。4.综合解答题每小题8分，共40分。列式、计算、单位、答语均属于采分内容。多小问题目按小问给分，前一问结果用于后一问时，若思路正确且后续计算承接一致，可酌情给后续步骤分。5.主观题卷面要求：等式左右要对齐，数量关系要写清，单位名称要完整；百分率结果要带百分号；时间结果可用小时、分钟或复合形式表示，但应与题目语境一致。6.订正要求：学生订正时应写出错因、正确方法和最终答案。教师讲评时可重点关注百分数基准、比例统一、环形跑道相对速度、圆锥体积三分之一和规律题表达式这五类高频失分点。7.过程得分提醒：分步题的每一步都要能让阅卷者看出数量关系。例如行程题要写出相对速度，工程题要写出已完成页数与剩余页数，几何题要写出对应的半径、高和体积公式，规律题要写出从前几项到一般式的过渡。8.卷面复查提醒：交卷前重点检查题号是否遗漏、单位是否一致、百分率是否带百分号、答语是否回应问题。9.教师给分时可先看结果，再回看过程；学生订正时应先找出错步，再重新书写完整解法。三、逐题解析与评分细则1.答案：B解析：先算2.5×0.4=1；0.75=3/4，3/5÷3/4=3/5×4/3=4/5=0.8；合计1.8。评分细则：选B得3分；若只写1.8但未选项，教师可按答题要求给3分。订正提示：混合运算中要先乘除后加减，分数除法要转化为乘倒数，再与小数结果统一比较。2.答案：B解析：由b:c=10:7，将a:b=3:5放大2倍，得a:b=6:10。此时b相同，所以a:c=6:7。评分细则：写出6:10与10:7的衔接得2分，最终比6:7得1分。订正提示：连比题的关键是把中间量b调整成同一个数，不能直接把3:5和10:7首尾相接。3.答案：C解析：圆柱体积=底面积×高=π×3²×8=72π立方厘米。评分细则：能写出πr²h得1分，代入正确得1分，选C得1分。订正提示：圆柱体积不是侧面积，半径平方后再乘高，含π的结果可保留π。4.答案：B解析：设原数为1，增加20%后为1.2，再减少20%得到1.2×0.8=0.96，即原数的96%。评分细则：会用单位“1”分析得1分，计算1.2×0.8得1分，结论96%得1分。订正提示：先增加再减少的百分数基准已经改变，因此不能把20%与20%直接抵消。5.答案：C解析：相邻两项的差依次为5，7，9，下一差为11，所以24＋11=35。评分细则：找出差的规律得2分，结果35得1分。订正提示：数列题要先看相邻两项的差，再看差本身是否有规律。6.答案：C解析：七五折表示售价为原价的75%，便宜部分为25%。45÷25%=180元。评分细则：理解便宜比例为25%得1分，列式45÷0.25得1分，结果180得1分。订正提示：七五折表示售价占原价75%，便宜45元对应的是原价的25%。7.答案：C解析：长方形周长56厘米，长宽和为28厘米。长:宽=4:3，共7份，每份4厘米，长16厘米，宽12厘米，面积16×12=192平方厘米。评分细则：求长宽和得1分，求出长和宽得1分，面积192得1分。订正提示：周长先除以2得到长宽和，再按比例分配，不要把56直接按4:3分。8.答案：C解析：球的总数为3＋2＋5=10个，不是白球有3＋2=5个，可能性为5/10=1/2。评分细则：求出总数和有利个数得2分，选C得1分。订正提示：不是白球包含红球和蓝球两类，要把有利结果数合并后再求可能性。9.答案：3/8；37.5%解析：0.375=375/1000，约成最简分数为3/8；把小数化成百分数，小数点向右移两位，得37.5%。评分细则：每空1.5分；分数未化最简扣0.5分。订正提示：小数化分数要先写成分母为1000的分数，再约分到最简；小数化百分数注意百分号。10.答案：12；144解析：36=2²×3²，48=2⁴×3。最大公因数取公共质因数的低次幂，得2²×3=12；最小公倍数取各质因数的高次幂，得2⁴×3²=144。评分细则：每空1.5分；只写一个正确结果得相应分。订正提示：最大公因数取公共部分，最小公倍数要覆盖两个数的全部质因数组成。11.答案：162解析：2小时15分钟=2.25小时，路程=速度×时间=72×2.25=162千米。评分细则：换算时间得1分，列式得1分，结果与单位得1分。订正提示：时间单位必须统一，15分钟是0.25小时，不是0.15小时。12.答案：1解析：4x－1.5=2.5，两边同时加1.5得4x=4，所以x=1。评分细则：移项或等式变形正确得2分，解得x=1得1分。订正提示：等式两边做同样变化，移项后要再除以未知数前的系数。13.答案：3解析：比例尺1:50000表示图上1厘米代表实际50000厘米。6厘米代表300000厘米，即3000米，也就是3千米。评分细则：求实际厘米数得1分，单位换算得1.5分，答案3千米得0.5分。订正提示：比例尺换算后要从厘