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小学必会:和倍问题附练习题30题可下载打印

小学必会:和倍问题附练习题30题可下载打印

和倍问题

找到一倍量,画图法轻松解决!

整倍数,直接求

共有48名同学,男同学的人数是女同学的2倍,男、女同学各多少人?

由图可以看出,如果女生是1倍,那么男生就是2倍,一共是3倍。

48÷3=16(人)……女生

16x2=32(人)……男生

非整倍数,多去少补

果园里有梨树和苹果树共76棵。苹果树的棵树比梨树的3倍多4棵,求梨树有多少棵?

由图可以看出,梨树是1倍,苹果树是3倍+4,把多余的4先减掉,剩下的正好是4倍。

(76-4)÷(1+3)=18(棵)……梨树

两种以上,找对一倍量

果园里有桃树、梨树、苹果树共162棵。若桃树的棵树是梨树的2倍,苹果树的棵树是桃树的3倍,三种果树各有多少棵?

先从桃树、梨树和苹果树中找到1倍量(最少的)——梨树,桃树为2倍,苹果树为6倍。

162÷(1+2+6)=18(棵)……梨树

18x2=36(棵)……桃树

36x3=108(棵)……苹果树

时间不同,要转化一致

水果店原来有苹果和梨共123筐,卖出8筐苹果和15筐梨后,剩下苹果的筐数正好比梨的2倍多1筐,水果店原来有苹果和梨各多少筐?

倍数关系发生在卖出之后,所以要先算出卖出后还剩下的筐数:123-8-15=100(筐)

梨:1倍

苹果:2倍+1

(100-1)÷(1+2)=33(筐)……梨(剩下的)

33x2+1=67(筐)……苹果(剩下的)

原梨:33+15=48(筐)

原苹果:67+8=75(筐)

植树问题

1. 金鱼缸里红金鱼的条数是黑金鱼的4倍,红金鱼和黑金鱼共15条。两种金鱼各多少条?

2. 动物园有5座猴山,其中3座住着金丝猴,2座住着猕猴。这5座猴山上,每座猴山上只住一种猴子,且猴子的数量分别是10、15、30、35、70。已知金丝猴的总数是猕猴的3倍。请问哪两座山住着猕猴?

3. 回答下列问题。

(1) A+B=126,8×A=B。求A、B各是多少?

(2) A+B=900,A÷B=9。求A、B各是多少?

4. 小妞和爸爸两人一共种了28棵树,爸爸种的棵数比小妞的2倍多4棵。两人各种多少棵?

5. 果园中梨树和苹果树一共有33棵,梨树比苹果树的4倍少12棵。两种树各有多少棵?

6. 纺织厂有职工109人,其中女工人数比男工人数的2倍少41人。男、女工各有多少人?

7. 回答下列问题。

(1) A+B=375,A=B×6+4求A、B分别是多少?

(2) A+B=39,A÷B=8⋯⋯3,求A、B分别是多少?

8. 回答下列问题。

(1)两数相除商是7,余数是5,被除数、除数的和是133。被除数、除数各是多少?

(2)两数相除商是8,余数是16,被除数、除数、商和余数的和是310。被除数是多少?

9. 乙、丙三堆货物共有120件,已知甲堆货物的数量是乙堆货物的3倍,丙堆货物的数量是乙堆货物的2倍。求甲、乙、丙三堆货物各有多少件?

10. 三筐糖果共143颗,甲筐糖果的数量比乙筐的2倍多8颗,丙筐糖果的数量比乙筐的3倍多15颗。三筐糖果各多少颗?

11. 书架上有三层书,共108本,第一层的本数比第二层的3倍少7本,第三层的本数比第二层的2倍少5本。三层各有多少本书?

12. 某小学三年级有3个班,共82人,一班人数比二班的3倍少13人,三班人数比二班的2倍多5人,三个班各有多少人?

13. 甲、乙、丙三堆货物共有270件,已知甲堆货物的数量是乙堆的3倍,乙堆货物的数量是丙堆的2倍,求甲、乙、丙三堆货物各有多少件?

14. 甲、乙、丙三数的和为105,甲除以乙,与乙除以丙的结果都是商2。那么,甲数多少?

15. 某小学三年级有三个班,共228人,一班人数比二班的2倍多12人,三班人数是一班的3倍。三个班各有多少人?

16. 盒子中有红球、白球、黑球共188个,白球的数量比黑球的2倍多1个,红球的数量比白球的3倍多4个,求盒子中红球、白球、黑球各多少个?

17. 小明家有鸡、兔、羊共237只。羊的只数比兔的2倍少17只,鸡的只数比羊、兔的总和还多13只。求鸡、兔和羊各有多少只?

18. 三只小猫钓鱼,一共钓了131条鱼。甲钓到的鱼的数量比的3倍多12条,丙钓到的鱼的数量比甲的2倍少5条。三只小猫分别钓到了多少条鱼?

19. 甲、乙、丙三个数的和为39,甲除以乙,与乙除以丙的结果都是商2余1。那么,甲数是多少?

20. 有大、小两个水瓶,分别装有690毫升和210毫升水,现在从大瓶中倒了一些水到小瓶后(水没有溢出),大瓶里的水量变成了小瓶的2倍。请问:从大瓶中倒了多少毫升水到小瓶?

21. 甲班有图书100本,乙班有图书40本,乙班给甲班多少本后,甲班图书是乙班的4倍?

22. 甲班有图书100本,乙班有图书40本,乙班给甲班多少本后,甲班图书比乙班的4倍多20本?

23. 书架上、下两层共有150本书,如果从上层取出26本放到下层,这时下层的书的数量是上层的2倍。原来上、下两层各有多少本书?

24. 二(1)班原来有学生43人,又转来了3名男生,这时男生的人数正好比女生的2倍少14人。二(1)班原来有男生多少人?

25. 水果店量原来有苹果和梨共123筐,后来卖出8筐苹果和15筐梨,现在苹果的筐数正好比梨的2倍多1筐。水果店原有苹果和梨各多少筐?

26. 猴山上有180只猴子,大猴子的数量比小猴子的3倍少8只。那么猴山上大、小猴子各有多少只?

27. 学校买来篮球、足球、排球共49个,篮球的个数比足球的3倍少6个,排球的个数比足球的2倍多1个,问学校买来的篮球、足球、排球各多少个?

28. 小帅买了红气球、蓝气球、绿气球共184个,其中红气球的数量是蓝气球的3倍,蓝气球的数量比绿气球的2倍还多1个,请问小帅买的红气球、蓝气球、绿气球各有多少个?

29. 动物园里原来有大、小猴子共24只,后来又运来6只小猴子,这时小猴子只数恰好是大猴子只数的5倍。求大、小猴子原来各有多少只?

30. 甲仓库有140袋大米,乙仓库有100袋大米。要使乙仓库大米的袋数是甲仓库的3倍,甲仓库要给乙仓库多少袋大米?

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  1. CONNECT:[ UseTime:0.000439s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000566s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.001718s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000322s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000553s ]
  6. SELECT * FROM `set` [ RunTime:0.000288s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000719s ]
  8. SELECT * FROM `article` WHERE `id` = 868152 LIMIT 1 [ RunTime:0.007878s ]
  9. UPDATE `article` SET `lasttime` = 1784732201 WHERE `id` = 868152 [ RunTime:0.053175s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000420s ]
  11. SELECT * FROM `article` WHERE `id` < 868152 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000662s ]
  12. SELECT * FROM `article` WHERE `id` > 868152 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000510s ]
  13. SELECT * FROM `article` WHERE `id` < 868152 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001947s ]
  14. SELECT * FROM `article` WHERE `id` < 868152 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.008685s ]
  15. SELECT * FROM `article` WHERE `id` < 868152 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.069341s ]
0.286654s