2026届南通六年级数学小升初分班考试标准模拟试卷第221套强证据校准版（含答案详解与评分标准）

2026届南通六年级数学小升初分班考试标准模拟试卷第221套第页2026届南通六年级数学小升初分班考试标准模拟试卷第221套强证据校准版（含答案详解与评分标准）考试名称2026届南通六年级数学小升初分班考试标准模拟试卷考试时间90分钟满分120分适用对象小学六年级小升初分班备考学校：________________班级：________姓名：________考号：________注意事项1.本卷共18题，满分120分，考试时间90分钟。请先检查题号、页码和答题区域是否完整。2.选择题请在答题卡位置填涂或填写字母；填空题只写最终结果，单位、分数和小数形式须规范。3.解答题必须写出必要的计算过程、数量关系、公式和单位；只写答案且无过程的，按评分标准酌情扣分。4.可使用铅笔作图，作图痕迹应清楚；涉及圆周率时，题目未说明的按π计算，题目说明取值的按说明取值。5.本卷为标准模拟试卷，题目重在考查计算能力、图形几何、数形结合与综合应用能力。选择题答题卡题号12345678答案一、选择题（本大题共8小题，每小题5分，共40分）每题只有一个选项符合题意。请将正确选项填入答题卡。1.计算3.6÷0.12－4×2.5的结果是（）。A.10B.18C.20D.252.一个数先增加25%，再减少20%，所得结果与原数相比（）。A.增加5%B.减少5%C.相等D.增加10%3.在平面直角坐标系中，直线y=-2x+6与两坐标轴围成的三角形面积是（）。A.6B.9C.12D.184.三角形的三条边分别是5厘米、12厘米、13厘米。下列判断正确的是（）。A.这是锐角三角形，面积30平方厘米B.这是直角三角形，面积30平方厘米C.这是钝角三角形，面积60平方厘米D.不能组成三角形5.一组数据为7、9、10、10、12、14。下列说法正确的是（）。A.平均数是10B.中位数和众数均为10C.众数是12D.极差是66.一项工程，甲队单独做12天完成，乙队单独做18天完成。两队合作6天后，剩下的由甲队单独做，还需要（）天。A.1B.2C.3D.47.一个长方体的长、宽、高分别是8厘米、6厘米、5厘米，它的体积和表面积分别是（）。A.240立方厘米，236平方厘米B.240立方厘米，118平方厘米C.190立方厘米，236平方厘米D.236立方厘米，240平方厘米8.一件学习用具套装原价240元，商场先按八折销售，又参加“满180元减30元”活动，实际应支付（）元。A.150B.162C.180D.192二、填空题（本大题共4小题，每小题5分，共20分）请把正确答案写在横线上。需要单位的结果必须写单位。9.4.5公顷=__________平方米。10.解方程3x－5=2(x+7)，x=__________。11.一幅地图的比例尺是1:500000，图上距离4.8厘米表示实际距离__________千米。12.袋中有3个红球、5个蓝球、2个黄球，任意摸出1个球，摸到的不是蓝球的可能性是__________。三、解答题（本大题共6小题，共60分）请写出必要的解题过程。计算题要写出关键步骤，应用题要写出数量关系和单位，几何题要写出公式或推理依据。13.计算与解方程。（共8分）（1）计算：5/6－(1/3+1/4)。（2）解方程：0.4x+1.8=6.2。答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.学校图书角中，科技书与文学书本数的比是5:3。后来从科技书中取出12本放到文学书中，这时科技书与文学书本数的比变为7:9。原来科技书和文学书各有多少本？（共8分）答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.南通某小学六年级开展“每日数学思维训练”活动，某小组6名同学一周内完成训练的平均用时如下表。（共10分）同学甲乙丙丁戊己用时/分钟354042454850（1）求这6名同学用时的平均数和中位数；（2）若新加入的小通用时55分钟，求7名同学的平均用时；（3）从“训练效率”角度写出一个可由数据支持的结论。答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.学校准备在长36米、宽24米的长方形空地上铺设一圈等宽步道，中间保留长方形草坪。步道宽3米。（共10分）（1）求步道面积；（2）若每平方米步道铺砖费用为85元，铺完步道共需多少元；（3）求中间草坪的周长。答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.A、B两地相距180千米，客车和货车同时从A地出发去B地，客车速度是货车速度的1.25倍。客车到达B地后立即原路返回，出发后2小时与仍向B地行驶的货车相遇。求货车速度和客车从A地到B地所用时间。（共12分）答：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.一个无盖长方体玻璃鱼缸，长60厘米、宽40厘米、高30厘米。缸内原有水，水深18厘米。把一个底面半径10厘米、高15厘米的圆柱形装饰物完全浸没在水中。取π=3.14。（共12分）（1）圆柱形装饰物的体积是多少立方厘米；（2）放入装饰物后水面升高多少厘米，水会不会溢出；（3）若要使最终水面距缸口5厘米，还需再倒入多少毫升水？答：____________________________________________________________________________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参考答案与解析评分说明：选择题、填空题按题目分值给分；解答题按步骤给分，方法正确、过程清楚、单位规范即可得相应分。若采用其他正确方法，按等价步骤给分。一、选择题答案与解析题号答案关键依据易错提醒1C3.6÷0.12=30，4×2.5=10，30－10=20。先乘除后加减，不能把0.12看成12。2C设原数为1，增加25%后为1.25，再减少20%得1。“减少20%”是对增加后的数减少。3B与y轴交于6，与x轴交于3，三角形面积为9。横截距是3，不是6。4B5²+12²=13²，为直角三角形，面积为5×12÷2=30。直角边是5和12。5B排好后中间两个数为10和10，众数也是10。平均数不是整数10，极差为7。6B合作效率为5/36，6天完成5/6，余下1/6，甲再做2天。剩余工程量要用甲的效率计算。7A体积8×6×5=240；表面积2×(48+40+30)=236。表面积不是三个面的面积和。8B八折后240×0.8=192，满足满减，192－30=162。满减条件按折后金额判断。二、填空题答案与解析题号答案解析评分要点9450001公顷=10000平方米，4.5×10000=45000。写出45000得5分，单位换算错误不得满分。10193x－5=2x+14，移项得x=19。方程移项正确3分，结果正确2分。11244.8×500000=2400000厘米，换算为24千米。厘米到千米换算是关键。121/2不是蓝球共有3+2=5个，总数10个，可能性为5/10=1/2。写0.5或50%也可得分。三、解答题答案、解析与评分标准13.计算与解方程。（8分）（1）5/6－(1/3+1/4)=5/6－(4/12+3/12)=10/12－7/12=3/12=1/4。（2）0.4x+1.8=6.2，0.4x=4.4，x=11。检验：0.4×11+1.8=6.2，成立。小题采分点分值（1）通分正确2分，计算结果1/4正确2分。4分