2026届重庆市渝中区六年级数学小学数学能力诊断QS01黑白可打印标准付费预览仿真卷B1第0340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）

重庆市渝中区六年级数学小学数学能力诊断QS01黑白可打印姓名：__________班级：__________学号：__________2026届重庆市渝中区六年级数学小学数学能力诊断QS01黑白可打印标准付费预览仿真卷B1第0340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）资料名称重庆市渝中区六年级数学小学数学能力诊断QS01仿真卷交付形态黑白可打印考试时间90分钟满分120分适用场景课堂限时训练、周末作业、考前自测、教师讲评答案状态含参考答案、逐题解析、评分细则、学生作答空间注意事项：1.本卷共25题，满分120分，建议90分钟完成；2.选择题请在答题栏内填涂，填空题直接写出最简结果；3.解答题需写出必要过程、单位和结论；4.答题前先检查页码，按题号顺序作答，保持书写清楚。分值结构：一、选择题10题，每题3分，共30分；二、填空题8题，每题3分，共24分；三、解答题7题，共66分。一、选择题（本大题共10小题，每小题3分，共30分。每题只有一个选项符合题意。）题号12345678910答案1.下列各数中，“5”在万位上的是（）。A.350462B.305462C.345062D.3045622.把36/48化成最简分数，结果是（）。A.2/3B.4/5C.3/4D.9/123.在0.75、3/5、80%、7/10四个数中，最大的数是（）。A.0.75B.3/5C.80%D.7/104.已知a:b=5:8，且a=35，则b等于（）。A.40B.56C.63D.705.半径为4厘米的圆的面积是（）平方厘米。（π取3.14）A.25.12B.50.24C.100.48D.12.566.一杯果汁有2/5升，喝掉其中的一半后，还剩（）升。A.1/10B.2/10C.1/5D.2/57.一个三角形的两个内角分别是45°和68°，第三个内角是（）。A.57°B.66°C.67°D.77°8.棱长为6厘米的正方体，它的表面积是（）平方厘米。A.36B.72C.144D.2169.一本书原价80元，按七五折出售，现价是（）元。A.20B.56C.60D.7510.四次数学小测成绩分别为85分、90分、78分、87分，平均成绩是（）分。A.84B.85C.86D.87二、填空题（本大题共8小题，每小题3分，共24分。请把正确结果写在横线上。）11.17.5×0.8－4.2÷0.6=________。12.计算2/3＋5/6×3/5，结果是________。13.甲、乙两数的比是3:5，和是56，甲数是________，乙数是________。14.一幅地图比例尺为1:300000，图上距离4.5厘米表示实际距离________千米。15.一个圆的周长是31.4厘米，它的半径是________厘米，面积是________平方厘米。（π取3.14）16.如果x/6=5/8，那么x=________。17.一个圆柱的底面半径是3厘米，高是5厘米，它的体积是________立方厘米。（π取3.14）18.袋中有5个红球、3个蓝球、2个黄球，从中任取1个，取到红球的可能性是________。三、解答题（本大题共7小题，共66分。请写出必要计算过程、单位和答语。）19.计算与解方程。（8分）

（1）4.8×2.5＋7.2÷0.9；

（2）7/12＋5/8－1/6；

（3）解方程：3x－2.4=8.1；

（4）解比例：0.36:x=3:5。作答区：______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.学校准备在长48米、宽32米的长方形运动区内铺设环形跑步道。跑步道沿四周内侧铺设，宽2米，中间保留草坪。

（1）中间草坪的面积是多少平方米？

（2）跑步道的面积是多少平方米？若每平方米铺设费用85元，共需多少元？（8分）作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________21.六年级开展社区服务活动，统计如下表。请根据表中信息解答。（9分）项目人数人均服务时间总服务时间环保宣传24人1.5小时图书整理18人2小时社区助老12人2.5小时（1）参加活动的学生共有多少人？

（2）三项活动的总服务时间是多少小时？

（3）本次活动人均服务时间是多少小时？若要使人均服务时间达到2小时，还需补充多少小时服务时间？作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22.一套数学学习资料定价120元，周末按八五折销售。学校一次购进45套，另付包装配送费135元。

（1）学校实际总支出多少元？

（2）把配送费平均到每套后，平均每套实际花费多少元？

（3）平均每套比原价便宜多少元？（9分）作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23.甲、乙两地相距24千米。小渝从甲地骑车去乙地，前2/3路程速度为12千米/时，余下路程速度为9千米/时；小中从乙地骑车去甲地，全程速度为10千米/时。两人同时出发。

（1）小渝从甲地到乙地一共需要多少时间？

（2）小渝和小中谁先到达目的地？

（3）两人相遇时，离甲地多少千米？（10分）作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________24.一个圆柱形水槽的底面半径为10厘米，高为20厘米，原来水深15厘米。现把一个底面半径为6厘米、高为10厘米的实心圆锥完全浸没在水中，且水没有溢出。（π取3.14）

（1）原来水的体积是多少立方厘米？

（2）圆锥排开水的体积是多少立方厘米？

（3）放入圆锥后水面上升多少厘米？此时水深多少厘米？（10分）作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________25.压轴题。把正整数按下面的规则分组：第1组：1；第2组：2，3，4；第3组：5，6，7，8，9；第4组：10，11，12，13，14，15，16；依此类推，第n组有2n－1个连续整数。

（1）第8组的第一个数和最后一个数分别是多少？

（2）第n组的最后一个数可表示成什么？第n组的中位数可表示成什么？

（3）若某一组所有数的和为2331，求这一组的组号及其中位数。

（4）能否在同一组中选出两个关于该组中位数对称的数，使它们的乘积为2026？请说明理由。（12分）作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

学生草稿与检查区用于记录关键公式、单位检查、结果验算和易错提醒，交卷前建议逐题核对。草稿区：____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

参考答案、逐题解析与评分细则说明：选择题、填空题按题号给分；解答题按步骤给分，过程合理、结果等价、单位正确均可得相应分。教师讲评时可结合学生书写完整度、计算准确度和结果检验进行扣分。一、选择题答案解析（每题3分，共30分）1.答案：A解析：350462从左到右依次为十万位3、万位5、千位0、百位4、十位6、个位2，只有A项的5在万位上。评分细则：选A得3分，其他选项不得分。2.答案：C解析：36和48的最大公因数是12，36/48同时除以12得3/4。9/12虽与3/4相等，但不是最简分数。评分细则：写出C得3分；若口头讲评能说明约分依据，可作为巩固点。3.答案：C解析：把四个数化成小数：0.75、3/5=0.6、80%=0.8、7/10=0.7，最大的是0.8。评分细则：选C得3分；把百分数与分数统一成同一形式是本题关键。4.答案：B解析：a:b=5:8，a=35，相当于5份是35，1份是7，b为8份，即56。评分细则：选B得3分；若误把35与8直接相乘，应在讲评中强调“每份量”。5.答案：B解析：圆面积=πr²=3.14×4×4=50.24平方厘米。评分细则：选B得3分；公式正确但口算失误在选择题中不得分。6.答案：C解析：喝掉其中的一半，即喝掉2/5×1/2=1/5升，剩下2/5－1/5=1/5升。评分细则：选C得3分；注意“其中的一半”不是“喝掉1/2升”。7.答案：C解析：三角形内角和为180°，第三个角=180°－45°－68°=67°。评分细则：选C得3分；计算顺序正确即可。8.答案：D解析：正方体6个面完全相同，每个面面积6×6=36平方厘米，表面积为36×6=216平方厘米。评分细则：选D得3分；若只求一个面面积属于审题错误。9.答案：C解析：七五折表示现价是原价的75%，80×75%=60元。评分细则：选C得3分；讲评时强调折扣转化为百分数。10.答案：B解析：平均数=(85+90+78+87)÷4=340÷4=85分。评分细则：选B得3分；漏加或除数用错不得分。二、填空题答案解析（每题3分，共24分）11.答案：7解析：先乘除后加减：17.5×0.8=14，4.2÷0.6=7，所以原式=14－7=7。评分细则：结果正确得3分；若只写出其中一个中间结果，课堂订正时应补全运算顺序。12.答案：7/6解析：先算乘法：5/6×3/5=1/2，再算2/3＋1/2=4/6＋3/6=7/6。评分细则：写7/6、1又1/6均可得3分；计算顺序错误不得分。13.答案：21，35解析：3+5=8份，56÷8=7，每份7；甲为3份，3×7=21，乙为5份，5×7=35。评分细则：两个数都正确得3分；只写对一个得1分。14.答案：13.5解析：比例尺1:300000表示图上1厘米代表实际300000厘米，4.5×300000=1350000厘米=13.5千米。评分细则：结果与单位均正确得3分；单位换算错误扣1分。15.答案：5，78.5解析：圆周长C=2πr，31.4÷3.14÷2=5厘米；面积=3.14×5×5=78.5平方厘米。评分细则：半径正确得1分，面积正确得2分；只写面积且正确可得2分。16.答案：15/4或3.75解析：x/6=5/8，两边同乘6，x=6×5/8=30/8=15/4=3.75。评分细则：等价形式均可得3分；化简不完全但数值正确可得满分。17.答案：141.3解析：圆柱体积=底面积×高=3.14×3²×5=3.14×9×5=141.3立方厘米。评分细则：公式、代入、结果均正确得3分；漏单位不扣填空分，但讲评时应补充。18.答案：1/2或50%解析：袋中共有5+3+2=10个球，红球5个，取到红球的可能性为5/10=1/2。评分细则：写1/2、0.5、50%均可得3分。三、解答题参考答案、逐题解析与评分细则（共六十六分）19.参考答案与解析（8分）（1）4.8×2.5＋7.2÷0.9=12＋8=20。

（2）7/12＋5/8－1/6=14/24＋15/24－4/24=25/24。

（3）3x－2.4=8.1，3x=10.5，x=3.5。

（4）0.36:x=3:5，3x=0.36×5=1.8，x=0.6。思路：第（1）题先乘除后加减；第（2）题先通分；第（3）题用等式性质；第（4）题把比例化为内项积等于外项积。评分细则：每小题2分。第（1）题乘法或除法各1分；第（2）题通分1分、结果1分；第（3）题移项1分、解出x1分；第（4）题列出3x=1.8得1分，求出x=0.6得1分。20.参考答案与解析（8分）运动区总面积：48×32=1536（平方米）。跑步道宽2米，草坪长为48－2×2=44（米），宽为32－2×2=28（米），草坪面积：44×28=1232（平方米）。跑步道面积：1536－1232=304（平方米）。铺设费用：304×85=25840（元）。答：草坪面积是1232平方米，跑步道面积是304平方米，共需25840元。思路：环形内侧跑道会使中间长和