2026年广东深圳市小升初数学分班考试模拟试卷（含参考答案解析）

第1页2026年广东深圳市小升初数学分班考试模拟试卷（含参考答案解析）学校：________________班级：________________姓名：________________考号：________________考试时间：90分钟满分：100分适用对象：小升初试卷类型：分班考试注意事项：1．本试卷共四大题，29小题。请在规定时间内独立完成，书写要工整，计算题和解决问题必须写出必要过程。2．选择题请将正确选项填入答题栏；填空题只写最终结果；计算题和解决问题按步骤给分，关键单位不可遗漏。3．本卷贴近深圳小升初分班考试常见考查方向，覆盖数与运算、比和比例、百分数、图形面积与体积、统计与应用题。4．所有题目均可在本卷留白处作答，答案与解析另起新页，供考后自查或课堂讲评使用。试卷结构与分值题型题号范围题量每题分值合计选择题1—1010题2分20分填空题11—2010题2分20分计算题21—244题5分20分解决问题25—295题8分40分合计1—2929题—100分一、选择题（本大题共10小题，每小题2分，共20分）每小题只有一个选项符合题意。请认真审题，把正确选项填入题后括号或下方答题栏。1．六（1）班共有45名学生，其中女生人数占全班人数的

4/9。这个班女生有多少人？（）A．18人B．20人C．25人D．36人2．已知a:b=3:5，b:c=10:7，那么a:c=（）。A．3:7B．5:7C．6:7D．7:63．下面四个数中，小于其他三个数的是（）。A．0.125B．1/8C．12.5%D．0.124．一条环形跑道长400米，甲、乙两人从同一点同时反向出发，甲每秒跑5米，乙每秒跑3米。他们第一次相遇需要（）。A．40秒B．50秒C．80秒D．100秒5．盒子里有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，摸到的球不是蓝球的可能性是（）。A．3/10B．1/2C．7/10D．4/56．一个三位数既是2的倍数，又是3的倍数，还是5的倍数。满足条件的最小三位数是（）。A．105B．110C．115D．1207．一个长方形的周长是48厘米，长与宽的比是5:3。这个长方形的面积是（）。A．120平方厘米B．135平方厘米C．144平方厘米D．180平方厘米8．一件商品先提价20%，再降价20%。降价后的价格与原价相比（）。A．不变B．提高4%C．降低4%D．降低20%9．方程2(x−3)=3x−10的解是（）。A．x=4B．x=5C．x=6D．x=810．一个正方体的棱长增加到原来的1.5倍，体积变为原来的（）。A．1.5倍B．2.25倍C．3倍D．27/8倍选择题答题栏：12345678910二、填空题（本大题共10小题，每小题2分，共20分）请把正确答案填在题中的括号内；结果能化简的要化为最简，应用题结果要带单位。11．3.6小时=（）小时（）分钟。12．一个数的2/3是18，这个数是（）。13．一幅地图的比例尺是1:50000，图上距离3.2厘米表示实际距离（）千米。14．24和36的最大公因数是（），最小公倍数是（）。15．5名同学的平均成绩是86分，后来发现其中一人的76分误记为67分。更正后，这5名同学的平均成绩是（）分。16．一个圆柱形水杯的底面半径是3厘米，高是10厘米，这个水杯的容积约是（）立方厘米。（π取3.14，杯壁厚度不计）17．观察数列：2，5，10，17，26，……，按规律第10个数是（）。18．一个直角三角形的两条直角边分别是6厘米和8厘米，它的斜边长是（）厘米，面积是（）平方厘米。19．若x+y=18，x−y=4，则x=（），y=（）。20．某校六年级一次活动的出勤率是96%，缺勤2人，应到学生共有（）人。三、计算题（本大题共4小题，每小题5分，共20分）请写出必要的计算过程。能简算的要简算，方程题要写出主要变形步骤。21．计算：【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22．解方程：【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23．用简便方法计算：2026×37+2026×63。【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________24．一个直角梯形的上底是8厘米，下底是14厘米，高是6厘米。若在梯形内挖去一个半径为3厘米的半圆形装饰孔，求剩余部分的面积。（π取3.14）【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________四、解决问题（本大题共5小题，每小题8分，共40分）请根据题意列式或列方程解答。要求思路清楚、步骤完整、单位准确。25．某校准备为六年级数学社团购买活动材料。每套材料原价18元，商家规定：购买50套及以上时按八五折收费。学校准备的经费是800元，最多可以买多少套材料？实际付款多少元？【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________26．整理一间数学实验室，甲单独整理需要12天完成，乙单独整理需要18天完成。现在甲、乙合作3天后，甲去参加培训，剩下的由乙单独完成。乙还需要多少天才能完成全部工作？【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________27．从深圳北站到少年宫的骑行路线长24千米。小明前半程天气晴朗，骑行速度为12千米/时；后来下雨，速度降为8千米/时。全程一共用了2.5小时。小明晴朗时骑了多少小时？下雨后骑了多少小时？两段路程各是多少千米？【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________28．一个长方体鱼缸从里面量长60厘米、宽40厘米、高50厘米，原来水深30厘米。把一个底面半径为10厘米、高18厘米的圆柱形铁块完全浸没在水中，且水没有渗入铁块。水面大约上升多少厘米？水会溢出吗？（π取3.14，结果保留两位小数）【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________29．某学习小组进行一次数学闯关赛，10名同学完成全部题目的用时如下表。请根据数据回答问题。第1人第2人第3人第4人第5人第6人第7人第8人第9人第10人18201921182220172520（1）这10名同学的平均用时是多少分钟？（2）这组数据的中位数和众数分别是多少？（3）若用时不超过20分钟为“达标”，达标率是多少？（4）后来发现第9人的25分钟记录有误，实际为15分钟，更正后的平均用时是多少分钟？【作答区】________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

参考答案与解析一、选择题答案与解析1．B。45×4/9=20，所以女生有20人。关键是把全班人数看作单位“1”，按分数乘法求对应人数。2．C。由a:b=3:5可把a:b化成6:10；又b:c=10:7，所以a:c=6:7。此题考查连比统一中间量。3．D。0.125=1/8=12.5%，三者相等；0.12小于0.125，所以小于其他三个数的是0.12。4．B。反向相遇时速度和为5+3=8（米/秒），第一次相遇时间为400÷8=50（秒）。5．C。总球数为5+3+2=10（个），不是蓝球的有5+2=7（个），可能性