2026届浙江省小升初数学分班考试模拟试卷（含答案详解与评分标准）

2026届浙江省小升初数学分班考试模拟试卷（含答案详解与评分标准）学校：______________班级：______________姓名：______________考号：______________考试时间：80分钟满分：100分适用场景：小升初数学分班考试考前检测题型题量分值说明选择题10题30分每题3分，单项选择题型题量分值说明填空题6题18分每题3分，答案应化简解答题6题52分写出必要过程，按步骤评分注意事项：1．本卷用于分班考试前的数学综合检测，题目覆盖数与代数、图形与几何、统计与概率、综合应用等内容。2．请在规定时间内独立完成，选择题将唯一正确选项的字母填入题后括号内；填空题答案应写在横线上并尽量化为最简形式。3．解答题必须写出主要过程、依据和单位；只写结果而无过程的题目，按评分标准酌情给分。4．计算中除特别说明外，圆周率取3.14；需要保留小数的，按题意处理。一、选择题（本大题共10题，每题3分，共30分）1．下列算式的结果等于3的是（）。A．72÷8×(15－12)B．72÷[8×(15－12)]C．(72÷8)×(15－12)D．72÷(8×15－12)2．若甲数的3/4等于乙数的2/3，且甲、乙两数均不为0，则甲数与乙数的比是（）。A．8∶9B．9∶8C．2∶3D．3∶23．已知两个数a、b满足：a=2×2×3×5，b=2×3×3×5，则a和b的最大公因数与最小公倍数之和是（）。A．180B．210C．240D．2704．一个长方体的长、宽、高之比为3∶2∶1，它的棱长总和是144厘米。这个长方体的体积是（）立方厘米。A．864B．972C．1296D．17285．某学习用品先提价20%，再按提价后的价格打九折出售，现价相当于原价的（）。A．88%B．98%C．108%D．120%6．袋中有5个红球、3个蓝球、2个黄球，除颜色外完全相同。任意摸出1个球，摸到的球不是黄球的可能性是（）。A．1/5B．2/5C．3/5D．4/57．一个直角三角形的两条直角边分别为6厘米和8厘米。把它绕6厘米这条直角边旋转一周，形成的立体图形体积是（）立方厘米。A．64πB．96πC．128πD．192π8．5名同学的数学检测平均分是76分，其中小江得88分。去掉小江的分数后，若再补入小林的分数，使这5个分数的平均分变为75分，则小林得（）分。A．80B．82C．83D．859．如果5x+3=2x+24，那么x的值是（）。A．5B．6C．7D．910．用同样长的小棒摆一排相连的正方形，摆1个正方形需要4根，摆2个相连正方形需要7根，摆3个相连正方形需要10根。照这样，摆20个相连正方形需要（）根小棒。A．58B．60C．61D．64二、填空题（本大题共6题，每题3分，共18分）11．把0.375化成最简分数是__________，化成百分数是__________。12．一列长180米的火车匀速通过一座长420米的大桥，从车头上桥到车尾离桥共用30秒。这列火车的速度是__________米/秒，合__________千米/时。13．5名工人8天可以完成240个同样的零件，照这样的效率，8名工人6天可以完成__________个零件。14．一幅校园平面图的比例尺是1∶5000，图上教学楼到操场的距离是6.4厘米，实际距离是__________米。15．一个圆的周长是31.4厘米，这个圆的半径是__________厘米，面积是__________平方厘米。16．某分班检测考场中男生人数比女生多20%，全考场共有66人。男生有__________人，女生有__________人。三、解答题（本大题共6题，共52分）17．计算下面各题，能简算的要写出简算过程。（8分）（1）7.2÷0.9＋3.5×1.6；（2）5/6×[3/5＋(4/7－1/2)]。学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18．解方程，并写出检验或主要变形过程。（8分）（1）3(2x－5)=2x＋17；（2）(y－2)/3＋(y＋1)/6=5。学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________19．某校为小升初分班考试后的数学活动采购材料，原计划购买A型材料25套、B型材料15套。A型材料每套48元，B型材料每套72元。商家规定：一次购物满2000元减180元。（8分）（1）按原计划购买并享受优惠后，学校实际需要支付多少元？（2）若材料室另有900元预算，按原价再购买A型、B型材料，且A型材料的套数恰好是B型材料的2倍，最多能再购买多少套材料？还剩多少元？学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20．学校打算在新生分班后布置一块“数学文化角”花坛。花坛由一个长24米、宽16米的长方形和两个以16米为直径的半圆拼成，形状类似运动场跑道。取π=3.14。（9分）（1）这个花坛一周的围栏长度是多少米？（2）这个花坛的占地面积是多少平方米？（3）如果铺草每平方米18元，全部铺草需要多少元？学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________21．某分班考试抽取6名学生的数学成绩进行分析，成绩如下表。（9分）学生甲乙丙丁戊己成绩/分8692789584□已知这6名学生的平均分是88分。（1）己的成绩是多少分？（2）求这6个成绩的中位数和极差。（3）若每名学生在复查后均加2分，且没有成绩超过100分，新的平均分是多少？请说明理由。学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22．甲、乙两地相距360千米。A车从甲地出发驶向乙地，速度为72千米/时；B车同时从乙地出发驶向甲地，速度为48千米/时。出发2小时后，A车因检查停留20分钟，然后继续按原速度行驶，B车始终不停。（10分）（1）出发2小时后，两车相距多少千米？（2）A车重新出发后，还需多长时间与B车相遇？（3）两车相遇时，A车距离甲地多少千米？从出发到相遇一共经过多少小时？学生作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

参考答案与解析说明：客观题只给出选项不给过程的，按选择题、填空题分值给分；解答题按步骤评分，方法正确、单位合理、结果准确即可得相应分值。一、选择题答案与关键理由1．B。因为括号内15－12=3，8×3=24，72÷24=3。A、C都相当于先算72÷8再乘3，结果为27；D的除数为108，结果不是3。2．A。由甲数×3/4=乙数×2/3，等式两边同乘12得9×甲数=8×乙数，所以甲数∶乙数=8∶9。3．B。a=2²×3×5，b=2×3²×5，最大公因数为2×3×5=30，最小公倍数为2²×3²×5=180，和为210。4．C。长方体棱长总和为4×(长＋宽＋高)，因此长＋宽＋高=36厘米。按3∶2∶1分成6份，每份6厘米，长、宽、高分别为18厘米、12厘米、6厘米，体积为18×12×6=1296立方厘米。5．C。设原价为1，提价20%后为1.2，再打九折为1.2×0.9=1.08，即现价相当于原价的108%。6．D。共有5＋3＋2=10个球，不是黄球的有5＋3=8个，可能性为8/10=4/5。7．C。绕6厘米直角边旋转，形成底面半径8厘米、高6厘米的圆锥，体积为1/3×π×8²×6=128π立方厘米。8．C。原来5人的总分是76×5=380分，去掉88分后剩292分。补入小林后5人平均75分，总分应为375分，所以小林得375－292=83分。9．C。5x+3=2x+24，移项得3x=21，所以x=7。10．C。每增加1个相连正方形，只增加3根小棒。摆n个需要4＋3(n－1)=3n＋1根，n=20时需要61根。二、填空题答案与解析11．3/8；37.5%。0.375=375/1000，约分得3/8；把小数化为百分数，0.375=37.5%。12．20；72。火车完全通过大桥所行路程为180＋420=600米，用时30秒，速度为600÷30=20米/秒。20米/秒=20×3.6=72千米/时。13．288。5名工人8天完成240个，1名工人1天完成240÷5÷8=6个