2026秋小学数学四升五年级归总问题应用题暑假专项提升训练(17天)
展开 这是一份2026秋小学数学四升五年级归总问题应用题暑假专项提升训练(17天),共14页。
训练重点:掌握最基础归总题型,已知单一量、份数,先求总量,再根据新份数求新单一量,熟练两步乘除运算。
1、一个文具盒8元,买12个文具盒的钱,刚好可以买16支钢笔,每支钢笔多少元?
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2、一本练习册每天做6页,18天可以做完。如果想要12天做完,每天需要做多少页?
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3、工人师傅每小时加工9个零件,20小时可以完成一批订单。如果提前5小时完成任务,每小时需要加工多少个零件?
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4、幼儿园每个小朋友分4块饼干,正好分给30个小朋友。如果每个小朋友分6块饼干,可以分给多少个小朋友?
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5、一辆货车每次运5吨货物,16次可以运完一批货物。现在每次运8吨,多少次可以运完这批货物?
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6、小明每分钟走70米,24分钟可以走到学校。如果他每分钟走80米,多少分钟能走到学校?
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7、装订一本书需要32张纸,装订15本书的纸张,现在用来装订20本练习本,平均每本练习本用多少张纸?
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8、超市每袋大米重10千克,18袋大米的总重量,刚好等于20袋面粉的总重量,每袋面粉重多少千克?
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9、修路队每天修45米路,12天可以修完一段公路。现在要9天修完,每天需要修多少米?
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10、一瓶水可以倒满6个小水杯,12瓶水可以倒满多少个大水杯?已知每个大水杯容量是小水杯的2倍。
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第2天 归总问题基础巩固(份数变化题型)
训练重点:聚焦份数增减变化题型,熟练根据不变总量,求解变化后的份数,夯实两步解题思路。
1、教室摆放花盆,每行摆12盆,可以摆15行。如果每行摆18盆,可以摆多少行?
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2、服装厂每天生产25套校服,16天可以完成订单。如果每天多生产5套,多少天可以完成订单?
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3、一堆煤炭,每天烧12千克,可以烧30天。如果每天少烧2千克,这堆煤炭可以烧多少天?
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4、同学们排队做操,每排24人,正好站20排。如果每排站30人,可以站多少排?
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5、一根绳子,剪成每段15米,可以剪成8段。如果剪成每段12米,可以剪成多少段?
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6、文具店打包笔记本,每包20本,可以打包12包。如果每包多装4本,可以打包多少包?
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7、拖拉机每小时耕地18亩,10小时可以耕完一块地。如果每小时多耕地2亩,几小时可以耕完?
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8、商店运来一批饮料,每天卖出36箱,8天可以卖完。如果每天卖出48箱,多少天可以卖完?
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9、工人搬运砖块,每次搬16块,21次可以搬完。如果每次多搬5块,多少次可以搬完?(结果保留整数)
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10、一本故事书,每天读15页,24天读完。如果每天多读3页,提前几天读完?
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第3天 归总问题变式题型(单一量增减)
训练重点:针对单一量增加、减少的变式题型,区分归一与归总逻辑,精准分析不变总量。
1、一批货物,用载重6吨的卡车,24次可以运完。改用载重8吨的卡车,需要运多少次?
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2、老师买奖品,每个笔记本5元,正好买36个。用同样的钱买钢笔,每个钢笔6元,可以买多少支?
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3、长方形花圃,每行种28株花,种18行正好种满。如果每行多种8株,需要种多少行?
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4、工厂生产零件,原来每天生产42个,20天完成任务。现在每天多生产18个,多少天完成任务?
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5、小明练字,每天写24个大字,30天可以写完练字任务。如果每天少写4个大字,需要多少天写完?
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6、食堂采购蔬菜,每天用22千克白菜,15天用完。现在每天节约7千克白菜,这批白菜可以用多少天?
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7、一根铁丝,围成边长12厘米的正方形,现在改围长方形,长16厘米,宽是多少厘米?
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8、水果店进货,每箱装30个橘子,正好装16箱。现在每箱少装6个,可以装多少箱?
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9、修路队计划每天修32米,18天修完公路。实际每天多修16米,实际多少天修完?
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10、同学们折纸鹤,每人折18只,25名同学可以折完。如果每人多折7只,需要多少名同学?
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第4天 归总问题生活应用(购物消费题型)
训练重点:结合购物场景,掌握总价不变的归总问题,贴合生活实际,提升应用能力。
1、妈妈带的钱,买单价9元的毛巾,可以买20条。如果买单价12元的毛巾,可以买多少条?
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2、爸爸准备买运动鞋,每双85元,买12双的钱,刚好可以买10套运动服,每套运动服多少元?
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3、文具店批发文具,买单价4元的圆珠笔,刚好买45支。用同样的钱买单价6元的签字笔,可以买多少支?
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4、学校采购跳绳,每根跳绳15元,买32根的经费,现在用来买毽子,每个毽子8元,可以买多少个毽子?
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5、小红带一笔钱买零食,每包薯片6元,能买24包。如果买每包8元的饼干,可以买多少包?
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6、商场促销,每双袜子5元,买36双的钱,可买15副手套,每副手套多少元?
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7、班级采购奖品,买单价12元的书签,刚好买20个。换成单价8元的橡皮,可以买多少块?
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8、王阿姨进货,每双拖鞋18元,买16双的钱,现在买单价24元的拖鞋,能买多少双?
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9、小明攒钱买玩具,单价35元的玩具车,攒够钱能买12辆。如果买单价42元的玩具飞机,可以买多少架?
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10、超市采购日用品,每瓶洗衣液28元,买15瓶的资金,可买20瓶洗手液,每瓶洗手液多少元?
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第5天 归总问题生活应用(工程行程题型)
训练重点:掌握工程、行程类总量不变题型,理解总工程量、总路程不变的核心逻辑。
1、一辆汽车每小时行驶65千米,12小时到达目的地。如果每小时行驶78千米,需要几小时到达?
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2、工程队每天修路58米,20天修完一段路。如果要提前4天修完,每天需要修多少米?
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3、快递员每天派送120件快递,18天可以完成片区派送任务。现在每天多派送30件,多少天完成?
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4、轮船每小时航行40千米,15小时到达港口。如果每小时多航行10千米,几小时到达?
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5、装修工人每天粉刷墙面85平方米,16天完成粉刷任务。现在每天粉刷100平方米,多少天完成?
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6、自行车每分钟骑行220米,20分钟到达公园。如果每分钟骑行275米,多少分钟到达?
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7、挖掘机组每天挖土90方,14天挖完基坑。如果每天多挖土30方,几天挖完?
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8、客车每小时行50千米,18小时行完全程。现在提速到每小时60千米,提前几小时到达?
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9、环卫工人每天清扫路面320平方米,12天清扫完片区。现在每天多清扫80平方米,几天完成?
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10、货车每小时行驶48千米,15小时送货到位。如果要12小时到位,每小时需要行驶多少千米?
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第6天 归总问题易错题型(隐藏总量)
训练重点:突破隐藏总量题型,学会审题提取隐含条件,找准不变总量,规避解题误区。
1、一批纸张,每人发8张,刚好分给45名学生。如果每人少发2张,可以分给多少名学生?
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2、一箱水果,每天吃4个,30天吃完。每天多吃2个,可以少吃几天?
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3、同学们植树,每人植12棵,20人可以植完。如果增加5人参与植树,平均每人植多少棵?
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4、一桶油,每天用150克,24天用完。每天节约30克,这桶油可以用多少天?
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5、一批玩具,分给36个小朋友,每人分5个。如果减少6个小朋友,每人可以分多少个?
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6、一根木材,锯成每段9分米,可锯10段。锯成每段6分米,可多锯多少段?
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7、班级收集废旧书本,每人收集18本,30人收集完毕。如果每人多收集2本,需要多少人?
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8、一堆粮食,每天运75千克,16天运完。每天多运25千克,提前几天运完?
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9、手工制作,每人做16个手工品,25人完成。如果增加10人,每人需要做多少个?
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10、一本习题集,每天做12道题,28天做完。每天多做4道,提前几天做完?
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第7天 归总问题进阶题型(三步计算)
训练重点:掌握三步计算归总题型,结合加减、乘除混合运算,提升综合运算与分析能力。
1、工厂原来每天生产38个零件,22天完成任务。改进技术后,每天多生产18个,现在多少天完成任务?
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2、小明计划每天读14页书,36天读完一本书。实际每天多读7页,实际提前几天读完?
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3、食堂原有大米每天吃26千克,18天吃完。更换食材后,每天少吃8千克,这批大米可以多吃几天?
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4、修路队计划每天修40米,25天修完公路。实际每天多修10米,实际提前几天完工?
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5、同学们排队,原来每排22人,站18排。现在每排多站8人,可以少站几排?
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6、一批货物,原计划每次运32吨,15次运完。现在每次少运8吨,需要多运几次?
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7、老师买奖品,原计划买单价10元的笔记本24本。现在改用这笔钱买单价便宜2元的笔记本,可以多买多少本?
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8、汽车原计划每小时行55千米,20小时到达。现在每小时多行15千米,提前几小时到达?
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9、手工小组原计划每人折20只纸鹤,16人完成。现在每人多折5只,可以少安排几人?
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10、水果店原计划每天卖28箱水果,20天卖完。现在每天多卖7箱,提前几天卖完?
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第8天 归总问题综合题型(数量对比)
训练重点:结合数量对比、条件对比解题,强化总量不变核心,提升审题辨析能力。
1、同样一笔钱,可以买30支单价4元的圆珠笔,也可以买20支钢笔,每支钢笔比圆珠笔贵多少元?
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2、一批货物,用载重5吨的卡车24次运完,用载重6吨的卡车比原来少运多少次?
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3、一本书,每天读18页,20天读完。如果每天读24页,比原来少读几天?
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4、一块菜地,每天收割35平方米,16天收割完。每天收割40平方米,可以少收割几天?
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5、一批作业本,分给40名同学,每人分6本。如果每人分8本,少分多少名同学?
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6、一辆货车送货,每小时行42千米,18小时到达。每小时行63千米,提前几小时到达?
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7、工厂加工零件,每天加工45个,22天完成。每天多加工15个,提前几天完成?
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8、幼儿园分糖果,每人分9颗,32个小朋友分完。每人分12颗,可以少分给几个小朋友?
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9、一根绳子,每段长14米,可剪成12段。每段加长7米,少剪几段?
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10、超市卖牛奶,每天卖48箱,15天卖完。每天多卖12箱,提前几天卖完?
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第9天 归总问题拓展题型(余数处理)
训练重点:解决含余数的归总问题,掌握进一法取值,贴合实际生活应用场景。
1、一批物资,每次运25件,18次运完。现在每次运35件,需要运多少次?
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2、一批图书,每班分42本,分给16个班。现在每班分50本,可以分给几个班?
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3、工人加工配件,每天加工36个,20天完成。现在每天加工45个,多少天完成?
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4、一段路程,每分钟走65米,24分钟走完。每分钟走75米,需要几分钟?
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5、一批化肥,每天施30千克,28天施完。每天施40千克,需要多少天?
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6、手工制作,每人做22个,30人完成。每人做28个,需要多少人?
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7、货车运粮食,每次运18吨,24次运完。每次运25吨,需要运几次?
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8、学生练字,每天写28个,15天写完。每天写32个,需要几天?
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9、工地运水泥,每天运42袋,20天运完。每天运55袋,需要多少天?
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10、花店包花,每束12枝,可包35束。每束18枝,可包多少束?
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第10天 归总问题中期综合检测
训练重点:综合前9天所学题型,查漏补缺,巩固基础、变式、进阶全部知识点。
1、每支钢笔7元,买24支钢笔的钱,可买28本笔记本,每本笔记本多少元?
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2、修路队每天修36米,18天修完公路。提前6天修完,每天需修多少米?
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3、一批水果,每天吃8个,24天吃完。每天多吃4个,提前几天吃完?
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4、汽车每小时行60千米,15小时到达。提速后每小时行75千米,提前几小时到达?
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5、同学们做操,每排25人,站16排。每排多站5人,可以站多少排?
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6、工厂加工零件,每天40个,21天完成。每天多加工10个,多少天完成?
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7、一笔钱可买36块单价5元的橡皮,改买单价6元的尺子,可买多少把?
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8、一堆煤炭每天烧15千克,32天烧完。每天少烧3千克,可以多烧几天?
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9、货车载重8吨,15次运完货物。改用载重10吨的货车,需要运几次?
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10、小明每天读16页书,30天读完。每天多读4页,提前几天读完?
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第11天 归总问题复杂购物题型
训练重点:多物品替换、差价计算类归总题型,提升复杂场景数量分析能力。
1、妈妈带的钱可以买25千克单价4元的苹果,这笔钱可以买20千克梨,每千克梨多少元?梨比苹果贵多少元?
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2、学校经费可以买40套单价35元的运动短袖,改买单价56元的运动长袖,可以买多少套?
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3、一笔零花钱,买单价8元的笔记本可买30本,买单价12元的精装笔记本,能买多少本?少买多少本?
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4、超市采购资金,买每箱45元的牛奶可买16箱,买每箱36元的酸奶,可以多买多少箱?
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5、爸爸买礼品,每盒60元的糕点买18盒,这笔钱买每盒45元的饼干,可买多少盒?
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6、班级奖品经费,买单价9元的书签可买40个,改买单价15元的文具套装,可买多少套?
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7、同样的钱,买单价6元的签字笔可买35支,买单价10元的钢笔,可买多少支?
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8、水果店进货,每箱28元的橘子买20箱,这笔钱买每箱35元的橙子,可买多少箱?
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9、学生采购文具,每块3元的橡皮买60块,改买每支5元的圆珠笔,可买多少支?
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10、商场促销资金,每条20元的毛巾买45条,改买每条25元的浴巾,可买多少条?
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第12天 归总问题复杂工程行程题型
训练重点:变速、变工期、工作量增减的复杂归总题型,强化逻辑推理能力。
1、工程队原计划每天修50米,24天修完公路。实际每天多修10米,实际工期比计划缩短几天?
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2、客车原计划每小时行48千米,25小时行完全程。实际每小时行60千米,提前几小时到达?
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3、工厂原计划每天生产52个零件,20天完成。实际每天多生产13个,提前几天完成任务?
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4、快递站原计划每天派送150件,16天完成。实际每天多派送50件,提前几天完成?
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5、修路队抢修道路,每天修60米,18天修完。要提前3天完工,每天需修多少米?
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6、轮船航行,每小时36千米,20小时到达。若要15小时到达,每小时需多行多少千米?
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7、装修队每天粉刷90平方米,14天完工。实际每天少粉刷15平方米,延期几天完工?
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8、货车送货,每小时50千米,22小时到达。实际每小时少行10千米,延迟几小时到达?
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9、挖掘队每天挖土100方,12天挖完。提前2天挖完,每天需多挖多少方?
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10、环卫队每天清扫400平方米,10天完成。实际每天多清扫100平方米,提前几天完成?
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第13天 归总问题份数人数变化题型
训练重点:人数、份数增减变化的综合题型,精准区分变量与不变量。
1、班级分糖果,45名同学每人分6颗。转来5名同学,现在每人平均分多少颗?
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2、手工小组30人,每人做18个手工作品。减少6人后,每人需要做多少个?
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3、学校分图书,28个班每班分36本。新增4个班级,现在每班分多少本?
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4、植树活动,36人每人植15棵。增加9人植树,每人少植多少棵?
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5、食堂分食材,24桌每桌分20千克食材。减少4桌,每桌多分多少千克?
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6、工厂分组加工,18组每组加工25个零件。增加2组,每组加工多少个?
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7、操场列队,22排每排20人。减少2排,每排站多少人?
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8、文具分装,30包每包24本笔记本。多装6包,每包少装多少本?
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9、农田种植,16行每行种30株秧苗。增加4行,每行种多少株?
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10、快递打包,25箱每箱装32件快递。减少5箱,每箱多装多少件?
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第14天 归总问题易错拔高题型
训练重点:攻克易混淆、易丢步骤、隐藏条件多的拔高题型,规范解题步骤。
1、一批货物,每次运12吨,20次运完。如果每次多运3吨,可以少运多少次?
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2、小明计划每天写18个毛笔字,25天写完。实际每天多写7个,提前几天写完?
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3、食堂有一批大米,每天吃32千克,15天吃完。每天少吃8千克,多吃几天?
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4、一辆汽车从甲地到乙地,每小时55千米,20小时到达。每小时多行15千米,提前几小时?
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5、一批零件,每天加工48个,22天完成。每天少加工8个,延期几天完成?
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6、老师带钱买奖品,买10元的钢笔36支。改买便宜2元的钢笔,多买多少支?
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7、一段路,每天修42米,18天修完。每天多修6米,提前几天完工?
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8、一批作业本,分给32人每人9本。减少8人,每人多分多少本?
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9、一桶水,每天用120毫升,30天用完。每天节约20毫升,多用几天?
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10、花店包花,每束15枝,可包24束。每束多包5枝,少包多少束?
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第15天 归总问题综合拔高检测
训练重点:融合各类题型,综合考查审题、列式、计算、步骤规范能力,全面拔高。
1、每千克橙子8元,买30千克的钱,可买40千克橘子,每千克橘子多少元?便宜多少元?
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2、工程队每天修48米,25天修完道路。提前5天完工,每天需多修多少米?
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3、40名学生每人折20只纸鹤。增加10名学生,每人少折多少只?
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4、汽车每小时65千米,16小时到达。提速后每小时78千米,提前几小时到达?
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5、一批粮食每天运60千克,24天运完。每天多运20千克,提前几天运完?
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6、经费可买35本单价12元的绘本,改买单价15元的科普书,可买多少本?
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7、工人每天加工35个零件,28天完成。每天多加工15个,多少天完成?
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8、列队做操,每排30人站18排。每排少站5人,多站几排?
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9、一批化肥每天施45千克,20天施完。每天少施9千克,多用几天?
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10、货车载重7吨,24次运完货物。载重增加1吨,少运几次?
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第16天 归总问题奥数拓展题型
训练重点:衔接五年级拓展思维,解决多条件复合归总问题,培养高阶逻辑思维。
1、一批货物,6辆货车每次运8吨,15次运完。如果用8辆货车,每次运多少吨?
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2、3名工人每天加工20个零件,18天完成。如果增加2名工人,多少天完成?
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3、4组同学,每组25人,每人分4块饼干。重新分配,每组20人,分几组?每人分几块?
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4、一辆汽车4小时行240千米,12小时的路程,改用自行车每小时15千米,需要几小时?
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5、5台机器每天生产300个零件,16天完成任务。改用8台机器,多少天完成?
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6、学校采购物资,8箱文具每箱36件,重新分装成12箱,每箱多少件?
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7、6名环卫工人每天清扫480平方米,10天完成。增加2名工人,几天完成?
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8、9箱水果每箱24个,分给36个同学,平均每人分多少个?
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9、4辆客车每次载35人,12次载完所有人。改用7辆客车,每次载多少人?
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10、8组工人每组18人,20天完成工程。减少2组工人,需要多少天完成?
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第17天 归总问题生活实操综合题型
训练重点:结合日常生活、校园、社会场景,强化知识落地应用,提升解题实用性。
1、小区保洁,每天清理28袋垃圾,30天清理完片区存量垃圾。现在每天多清理7袋,多少天清理完?
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2、班级布置教室,买彩带每米12元,买20米的钱,买气球每个3元,可以买多少个?
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3、农场浇水,每天浇水16亩,25天浇完所有菜地。每天多浇4亩,提前几天浇完?
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4、书店整理图书,每天整理120本,18天整理完。每天多整理30本,提前几天完成?
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5、健身房采购器材,单价45元的瑜伽垫买16个,这笔钱买单价30元的弹力带,可买多少条?
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6、农田施肥,每人每天施肥22亩,15人20天完成。现在10人完成,每人每天施肥多少亩?
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7、文具店打包订单,每包18本,24包完成。每包多装6本,少打包多少包?
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8、游泳馆换水,每小时排水80吨,15小时排完。每小时多排水20吨,提前几小时排完?
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9、社团采购道具,单价18元的道具买25件,改买单价15元的道具,可多买多少件?
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