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小升初真题分类汇编-计算题50题-小学数学六年级下册北师大版
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这是一份小升初真题分类汇编-计算题50题-小学数学六年级下册北师大版,共41页。试卷主要包含了计算,能简算的要简算,脱式计算,计算下面各题,仔细算一算,怎样简便就怎样计算,脱式计算下面各题,脱式计算,能简算的要简算等内容,欢迎下载使用。
小升初真题分类汇编-计算题50题-小学数学六年级下册北师大版
1.(2022·忠县)计算,能简算的要简算。
①101×32②2.74+8.67+7.26+11.33③18.8﹣5.8﹣58﹣4.2﹣38
④27×89+57÷98⑤0.888×125×73+999×3⑥4﹣[3.75×(1.2﹣45)+34]
2.(2022·罗山)计算,能简算的要简算。
(1)7.55×46.7+52.3×7.5+7.5 (2)(7.6﹣3.6÷2)×1.5 (3)97 ×(79﹣727)
3.(2022·海港)计算下面各题(能简算的用简便方法计算)。
①35÷[(79+13)×32]②6.875﹣47+0.125−37
③372÷25÷0.4④77×45−17×45
4.(2022·竞秀)脱式计算。
①45×4.5+6.5×80%﹣0.8②4×0.8×25%×12.5
③[712﹣(1318﹣512)]÷1018④2022×20202021
5.(2022·八步)计算下面各题。
①5.8﹣1.9﹣2.1②103×2.5×910×4
③35÷(716﹣14)×12④83×0.75+17÷43
6.(2022·西城)脱式计算(能简算的要简算)。
①3.86+6.4+2.14+7.6②5.2÷0.32﹣0.12③(34−23)×15
④513×1719+219×513⑤29÷3×14⑥35−[(18+0.5)÷54]
7.(2022·灵武)脱式计算。
①26×15﹣200②8×4×12.5×0.25
③411×316+316÷117④12÷[(12−14)×85]
8.(2022·府谷)仔细算一算,怎样简便就怎样计算。
(1)4.9×6.4+15.1×6.4 (2)(826﹣370)÷38×6 (3)19÷[(34+15)÷12]
9.(2022·科尔沁左翼后旗)脱式计算下面各题
(1)5.4×[(32.4+35)÷1125](2)2.03×101
(3)34.6×23+85.4÷32(4)50.24﹣32.2﹣17.8
10.(2022·思明)脱式计算,能简算的要简算
(1)3.55×99+3.55 (2)9×7×(17-19)(3)2.7÷38×79
11.(2022·红塔)计算下面各题,能简算的要简算。
(1)12 -25×1011(2)4.7﹣0.125﹣78
(3)17×79+79(4)[(3+1.8)×56]×516
12.(2022·巩义)用你喜欢的方法计算
(1)2÷2.5+2.5×0.8 (2)100﹣40×8.9×0.25
(3)65×75%+23×34﹣8×0.75(4)24÷[(56﹣13)×(5.7﹣2.7)]
13.(2022·木兰)脱式计算,能简算的要简算。
(1)78×101(2)89 ×[34﹣(716﹣14)](3)15﹣5.27﹣2.73
14.(2022·双城)脱式计算(能简算的要简算)
①18+57+78+27②(23-14+16)×24③1.5×14+8.5×14
④4×0.8×2.5×12.5⑤25×97×40%×79⑥78÷[(35+110)×54]
15.(2022·惠州)用递等式计算,能简算的要简算。
(1)13.5÷[1.5×(1.07+1.93)](2)2.94×37+4.06÷213(3)2511 +38+311-58
16.(2022·英德)脱式计算,能简算的要简算。
(1)2.6×9.9 (2)0.125×45×8×54(3)1.6÷(15+13)÷29
17.(2022·惠来)脱式计算,用你喜欢的方式计算。
(1)311 ×38÷97(2)512 ×8×125×1.25
(3)96÷[56+(58-0.6250)](4)1.35×65+6.5×86.5
18.(2022·香洲)计算下面各题(能简算的要简算)
(1)97 -49-59(2)2.5÷58×174
(3)(13+56-38)×24(4)229÷[(56-0.25)×57]
19.(2022·宝安)四则运算,用你认为简单的方法计算
(1)4.75×5.8+5.25×5.8(2)56 ×75%÷12(3)8×(36×125)
20.(2022·南山)用你喜欢的方法计算
(1)375+450÷18×25 (2)3.7×4.8+3.7×5.2
(3)2÷23﹣23÷2(4)910 ÷[12×(56﹣13)]
21.(2022·荔湾)计算下面各题,能用简便算法的就用简便算法。
(1)26.5×1.2+4.2 (2)67×99
(3)4×19×2.5÷19(4)48×(712+58-56)
22.(2022·殷都)脱式计算,怎样简便怎样算
①2.4÷67×314②(59+1112﹣23)×36③4950×99
④29.3﹣12.6﹣7.4⑤5.9×8.5﹣49×0.85⑥34×[6÷(78﹣14)]
23.(2022·兴义)计算下面各题,能简算的要简算。
(1)13.06﹣0.72﹣28% (2)225 ×91+9×8%(3)0.5÷[1﹣(13+49)]
24.(2022·安溪)用递等式计算
(1)4920÷24﹣16×12 (2)(6.3+2.1)÷2.4
(3)24×(512+38)(4)12 ÷[49×(25+110)]
25.(2022·衡山)脱式计算,能简便的用简便方法计算。
(1)(16﹣18+112)÷124(2)0.75×65+34×36﹣75%
(3)11×2+12×3+13×4+......+19×10(4)1.25×2.5×32
26.(2022·海南)计算下面各题,怎样简便怎样计算。
(1)51+385+49(2)3.9÷0.26×1.8
(3)(34﹣13)×12(4)49 ÷[56×(45﹣23)]
27.(2022·樊城)脱式计算,能简算的要简算。
(1)2.5×32×0.125(2)137 ×(52﹣13)×713
(3)3.14×43+7.2×31.4﹣150×0.314(4)49 ×[34﹣(716﹣14)]
28.(2022·乐平)用你喜欢的方法计算
(1)4.05﹣2.83﹣0.17(2)5.2×34+4.8×0.75(3)(18+116)÷4
29.(2022·罗源)脱式计算,怎样简便就怎样算
(1)12.7×6.5﹣2.7×6.5 (2)6﹣1320-720(3)1516 ÷[(18+56)×623]
30.(2022·内乡)计算下面各题,能简算的要简算
(1)20.17﹣2.26﹣17.84 (2)3×111﹣14÷11(3)38 ×[89÷(56-34)]
31.(2022·内乡)解方程
(1)x-15x=310(2)16 :x=110:34
32.(2022·新城)求未知数x。
(1)5x=12 (2)3x+6x=20.7 (3)x7=215
33.(2022·西安)解方程。
(1)312 :x=0.5:0.2 (2)20x÷4=0.25 (3)727=x9
34.(2022·潼关)解方程。
(1)35 x+4.2=7.5(2)128%x﹣48%x=32 (3)59 :x=2027:125
35.(2022·黄梅)解方程.
(1)12﹣4x=2.4 (2)1.2:7.5=0.4:x
36.(2022·沁阳)求未知数x(写出主要步骤)。
(1)12x+310x=24(2)3.3x﹣3×3=57 (3)x:34=12:25
37.(2022·竞秀)求未知数x。
(1)x:316=13:512(2)12 x﹣16x=0.8
38.(2022·安新)求未知数x。
(1)14x+25x=13(2)x:18=56:35
39.(2022·阳朔)解方程。
(1)5x﹣1.2x=7.6 (2)x:80%=4:0.4 (3)34 x:6.4=18:421
40.(2022·罗湖)解方程或比例。
(1)78x+9=30(2)8:x=2.4:0.9 (3)2y﹣30%y=34
41.(2022·开平)解方程。
(1)3.6:x=8.4:10.5(2)34x﹣16x=3.5
42.(2022·三水)解方程。
(1)5:x=35:12(2)4+14x=10
43.(2022·潮安)解方程。
(1)11:x=25%:0.1(2)13 x﹣89×1.8=25
44.(2022·泾县)解方程。
(1)0.25x+54=4(2)56:x=50%:35(3)0.3(6+x)=4.5
45.(2022·黄山)解方程或解比例。
①4:5=x:25②112+4x=6.7
③3x﹣60%x=4.32④118:x=112:3
46.(2022·包河)求未知数x。
(1)12x−310x=10(2)110:16=1.8:x
47.(2022·淮上)求未知数。
(1)x40 =38(2)12 :25=34:x(3)23 x﹣12x=15
48.(2022·盂县)解方程。
(1)13 x+20%x=32(2)x:25=50:8(3)x﹣34×0.6=310
49.(2022·新荣)解方程或解比例。
(1)1.25x=56(2)14:4.5=x:12(3)14x+23x=5.5
50.(2022·泗水)求未知数。
(1)x+30%=6.5 (2)5:23=x:4.8(3)x:25=0.72:8
答案解析部分
1.【答案】解:①101×32
=(100+1)×32
=100×32+1×32
=3200+32
=3232
②2.74+8.67+7.26+11.33
=(2.74+7.26)+(8.67+11.33)
=10+20
=30
③18.8﹣5.8﹣58﹣4.2﹣38
=18.8﹣(5.8+4.2)﹣( 58 + 38 )
=18.8﹣10﹣1
=7.8
④27 × 89 + 57 ÷ 98
= 27 × 89 + 57 × 89
=( 27 + 57 )× 89
=1× 89
= 89
⑤0.888×125×73+999×3
=0.111×8×125×73+999×3
=0.111×(8×125)×73+999×3
=0.111×1000×73+999×3
=111×73+(999÷9)×(3×9)
=111×73+111×27
=111×(73+27)
=111×100
=11100
⑥4﹣[3.75×(1.2﹣ 45 )+ 34 ]
=4﹣[3.75×0.4+ 34 ]
=4﹣[1.5+0.75]
=4﹣2.25
=1.75
2.【答案】(1)解:7.5×46.7+52.3×7.5+7.5
=7.5×(46.7+52.3+1)
=7.5×100
=750
(2)解:(7.6-3.6÷2)×1.5
=(7.6-1.8)×1.5
=5.8×1.5
=8.7
(3)解: 97 ×( 79-727 )
= 97 × 79-97 × 727
=1-13
= 23
3.【答案】解:①35÷[(79+13)×32]
= 35 ÷[( 79 + 39 )× 32 ]
= 35 ÷[ 109 × 32 ]
= 35 ÷ 53
= 35 × 35
= 925
②6.875﹣ 47+0.125−37
=(6.875+0.125)﹣( 47 + 37 )
=7﹣1
=6
③372÷25÷0.4
=372÷(25×0.4)
=372÷10
=37.2
④77× 45−17×45
=(77﹣17)× 45
=60× 45
=48
4.【答案】解:①45 ×4.5+6.5×80%﹣0.8
=0.8×4.5+6.5×0.8﹣0.8
=0.8×(4.5+6.5﹣1)
=0.8×10
=8
②4×0.8×25%×12.5
=(4×25%)×(0.8×12.5)
=1×10
=10
③[ 712 ﹣( 1318 ﹣ 512 )]÷ 1018
=[ 712 ﹣ 1318 + 512 ]÷ 1018
=[ 712 + 512 ﹣ 1318 ]÷ 1018
=[1﹣ 1318 ]÷ 1018
= 518 ÷ 1018
= 12
④2022× 20202021
=(2021+1)× 20202021
=2021× 20202021 +1× 20202021
=2020+ 20202021
=2020 20202021
5.【答案】解:①5.8-1.9-2.1
=5.8-(1.9+2.1)
=5.8-4
=1.8
②103 ×2.5× 910 ×4
=( 103 × 910 )×(2.5×4)
=3×10
=30
③35 ÷( 716 - 14 )× 12
= 35 ÷ 316 × 12
= 165 × 12
= 85
④83×0.75+17÷ 43
=0.75×(83+17)
=0.75×100
=75
6.【答案】解:①3.86+6.4+2.14+7.6
=(3.86+2.14)+(6.4+7.6)
=6+14
=20
②5.2÷0.32﹣0.12
=16.25﹣0.12
=16.13
③( 34-23 )×15
=15×34-23×15
= 454 -10
=1.25
④513×1719+219×513
=513×(1719+219)
=513×1
=513
⑤29÷3×14
=227×14
=154
⑥35-[(18+0.5)÷54]
=35-[58÷54]
=35-12
=110
7.【答案】解:①26×15﹣200
=390﹣200
=190
②8×4×12.5×0.25
=(8×12.5)×(4×0.25)
=100×1
=100
③411 × 316 + 316÷117
= 316 ×( 411 + 711 )
= 316 ×1
= 316
④12÷[( 12−14 )× 85 ]
=12÷[ 14 × 85 ]
=12÷ 25
=30
8.【答案】(1)解:4.9×6.4+15.1×6.4
=(4.9+15.1)×6.4
=20×6.4
=128
(2)解:(826-370)÷38×6
=456÷38×6
=12×6
=72
(3)解:19÷[(34+15)÷12]
=19÷[ 1920 ÷ 12 ]
=19÷ 1910
=10
9.【答案】(1)解:5.4×[(32.4+35)÷1125]
=5.4×[33÷ 1125 ]
=5.4×75
=405
(2)解:2.03×101
=2.03×(100+1)
=2.03×100+2.03×1
=203+2.03
=205.03
(3)解:34.6×23+85.4÷32
=34.6× 23 +85.4× 23
=(34.6+85.4)× 23
=120× 23
=80
(4)解:50.24-32.2-17.8
=50.24-(32.2+17.8)
=50.24-50
=0.24
10.【答案】(1)解:3.55×99+3.55
=3.55×(99+1)
=3.55×100
=355
(2)解:9×7×(17-19)
=9×7× 17 - 19 ×9×7
=9﹣7
=2
(3)解:2.7÷38×79
=7.2× 79
=5.6
11.【答案】(1)解:12 -25×1011
=12﹣411
=322
(2)解:4.7﹣0.125﹣78
=4.7﹣(0.125+ 78 )
=4.37﹣1
=3.37
(3)解: 17×79+79
=(17+1)× 79
=18× 79
=14
(4)解: [(3+1.8)×56]×516
=[4.8× 56 ]× 516
=4× 516
= 54
12.【答案】(1)解:2÷2.5+2.5×0.8
=0.8+2
=2.8
(2)解:100-40×8.9×0.25
=100-40×0.25×8.9
=100-10×8.9
=100-89
=11
(3)解:65×75%+23×34-8×0.75
=65×0.75+23×0.75-8×0.75
=(65+23-8)×0.75
=80×0.75
=60
(4)解:24÷[(56-13)×(5.7-2.7)]
=24÷[ 12 ×3]
=24× 23
=16
13.【答案】(1)解:78×101
=78×(100+1)
=78×100+78×1
=7800+78
=7878
(2)解:89 ×[34﹣(716﹣14)]
= 89 ×( 34 + 14 - 716 )
= 89 ×(1- 716 )
= 12
(3)解:15﹣5.27﹣2.73
=15﹣(5.27+2.73)
=15﹣8
=7
14.【答案】解:①18 + 57 + 78 + 27
=( 18 + 78 )+( 57 + 27 )
=1+1
=2
②( 23 - 14 + 16 )×24
= 23 ×24- 14 ×24+ 16 ×24
=16﹣6+4
=14
③1.5× 14 +8.5× 14
=(1.5+8.5)× 14
=10× 14
= 52
④4×0.8×2.5×12.5
=(4×2.5)×(0.8×12.5)
=10×10
=100
⑤25× 97 ×40%× 79
=(25×40%)×( 97 × 79 )
=10×1
=10
⑥78 ÷[( 35 + 110 )× 54 ]
= 78 ÷( 710 × 54 )
= 78 ÷ 78
=1
15.【答案】(1)解:13.5÷[1.5×(1.07+1.93)]
=13.5÷[1.5×3]
=13.5÷4.5
=3
(2)解:2.94×37+4.06÷213
= 37 ×(2.94+4.06)
= 37 ×7
=3
(3)解:2511 +38+311-58
= 2511 - 311 +( 38 + 58 )
=2+1
=3
16.【答案】(1)解:2.6×9.9
=2.6×(10-0.1)
=2.6×10-0.26
=26-0.26
=25.74
(2)解: 0.125×45×8×54
=(0.125×8)×( 45 × 54 )
=1×1
=1
(3)解:1.6÷(15+13)÷29
=1.6÷ 815 × 92
=3× 92
= 272
17.【答案】(1)解: 311 ×38÷97
= 988 × 79
= 788
(2)解:512 ×8×125×1.25
=( 512 × 125 )×(8×1.25)
=1×10
=10
(3)解:96÷[56+(58-0.6250)]
=96÷[56+( 58 -0.6250)]
=96÷[56+0]
=96÷56
= 127
(4)解:1.35×65+6.5×86.5
=65×(1.35+8.65)
=65×10
=650
18.【答案】(1)解: 97 -49-59
= 97 -( 49 + 59 )
= 97 -1
= 27
(2)解:2.5÷58×174
=4× 174
=17
(3)解:(13+56-38)×24
= 13 ×24+ 56 ×24- 38 ×24
=8+20-9
=28-9
=19
(4)解:229÷[(56-0.25)×57]
=229 ÷[ 712 × 57 ]
=229 ÷ 512
= 163
19.【答案】(1)解:4.75×5.8+5.25×5.8
=(4.75+5.25)×5.8
=10×5.8
=58
(2)解:56 ×75%÷12
= 58 ÷ 12
= 54
(3)解:8×(36×125)
=8×125×36
=1000×36
=36000
20.【答案】(1)解:375+450÷18×25
=375+25×25
=375+625
=1000
(2)解:3.7×4.8+3.7×5.2
=3.7×(4.8+5.2)
=3.7×10
=37
(3)解: 2÷23-23÷2
=3- 13
=223
(4)解: 910 ÷[12×(56-13)]
= 910 ÷( 12 × 12 )
= 910 ÷ 14
= 185
21.【答案】(1)解:26.5×1.2+4.2
=31.8+4.2
=36
(2)解:67×99
=67×(100﹣1)
=67×100﹣67
=6700﹣67
=6633
(3)解:4× 19 ×2.5÷ 19
=(4×2.5)×(19×9)
=10×1
=10
(4)解:48×( 712 + 58 - 56 )
=48× 712 +48× 58 ﹣48× 56
=28+30﹣40
=18
22.【答案】解:①2.4÷ 67 × 314
=2.4× 76 × 314
=2.8×314
=0.6
②( 59 + 1112 - 23 )×36
= 59 ×36+ 1112 ×36-23 ×36
=20+33-24
=53-24
=29
③4950 ×99
= 4950 ×(100-1)
= 4950 ×100-4950 ×1
=98- 4950
=97150
④29.3-12.6-7.4
=29.3-(12.6+7.4)
=29.3-20
=9.3
⑤5.9×8.5-49×0.85
=5.9×8.5-4.9×8.5
=8.5×(5.9-4.9)
=8.5×1
=8.5
⑥34 ×[6÷( 78-14 )]
= 34 ×[6÷58]
=34×485
= 365
23.【答案】(1)解:13.06-0.72-28%
=13.06-(0.72-28%)
=13.06-1
=12.06
(2)解: 225 ×91+9×8%
= 225 ×(91+9)
= 225 ×100
=8
(3)解:0.5÷[1-(13+49)]
=0.5÷[1-79 ]
=0.5÷ 29
=2.25
24.【答案】(1)解:4920÷24-16×12
=205-192
=13
(2)解:(6.3+2.1)÷2.4
=8.4÷2.4
=3.5
(3)解:24×(512+38)
=24× 512 +24× 38
=10+9
=19
(4)解:12 ÷[49×(25+110)]
= 12 ÷[ 49 × 12 ]
= 12 ÷ 29
= 94
25.【答案】(1)解:(16﹣18+112)÷124
=( 16 ﹣ 18 + 112 )×24
= 16 ×24﹣ 18 ×24+ 112 ×24
=4﹣3+2
=1+2
=3
(2)解:0.75×65+34×36﹣75%
=0.75×(65+36﹣1)
=0.75×100
=75
(3)解:11×2+12×3+13×4+......+19×10
=(1﹣ 12 )+( 12 ﹣ 13 )+( 13 ﹣ 14 )+……+( 19 ﹣ 110 )
=1﹣ 12 + 12 ﹣ 13 + 13 ﹣ 14 +……+ 19 ﹣ 110
=1﹣ 110
= 910
(4)解:1.25×2.5×32
=1.25×2.5×(4×8)
=(1.25×8)×(2.5×4)
=10×10
=100
26.【答案】(1)解:51+385+49
=51+49+385
=100+385
=485
(2)解:3.9÷0.26×1.8
=15×1.8
=27
(3)解(34﹣13)×12
= 34 ×12﹣ 13 ×12
=9﹣4
=5
(4)解:49 ÷[56×(45﹣23)]
= 49 ÷[ 56 × 215 ]
= 49 ÷ 19
=4
27.【答案】(1)解:2.5×32×0.125
=2.5×(8×4)×0.125
=2.5×4×(8×0.125)
=10×1
=10
(2)解:137 ×(52﹣13)×713
= 137 × 136 × 713
=1× 136
= 136
(3)解:3.14×43+7.2×31.4﹣150×0.314
=3.14×43+72×3.14﹣15×3.14
=3.14×(43+72﹣15)
=3.14×100
=314
(4)解:49 ×[34﹣(716﹣14)]
= 49 ×( 34 + 14 - 716 )
= 49 ×(1- 716 )
= 49 × 916
= 14
28.【答案】(1)解:4.05﹣2.83﹣0.17
=4.05﹣(2.83+0.17)
=4.05﹣3
=1.05
(2)解:5.2×34+4.8×0.75
=(5.2+4.8)× 34
=10× 34
=7.5
(3)解:(18+116)÷4
= 316 ÷4
= 364
29.【答案】(1)解:12.7×6.5﹣2.7×6.5
=6.5×(12.7﹣2.7)
=6.5×10
=65
(2)解:6﹣1320-720
=6﹣( 1320 + 720 )
=6﹣1
=5
(3)解:1516 ÷[(18+56)×623]
= 1516 ÷[ 2324 × 623 ]
= 1516 ÷ 14
= 154
30.【答案】(1)解:20.17﹣2.26﹣17.84
=20.17﹣(2.26+17.84)
=20.17﹣20.1
=0.07
(2)解:3×111﹣14÷11
=3× 111 ﹣ 14 × 111
=(3- 14 )× 111
= 14
(3)解:38 ×[ 89 ÷( 56 - 34 )]
=38×[89÷112]
= 38 × 323
=4
31.【答案】(1) x-15x=310
解: 45x=310
x=310÷45
x= 38
(2)16 :x=110:34
解: 110x=16×34
x=18÷110
x= 54
32.【答案】(1)解:5x=12
5x÷5=12÷5
x=2.4
(2)解:3x+6x=20.7
9x=20.7
9x÷9=20.7÷9
x=2.3
(3)解: x7=215
15x=14
15x÷15=14÷15
x= 1415
33.【答案】(1)解: 312 :x=0.5:0.2
0.5x=3 12 ×0.2
0.5x=0.7
x=0.7÷0.5
x= 75
(2)解:20x÷4=0.25
20x=0.25×4
20x=1
x=1÷20
x= 120
(3)解: 727=x9
27x=7×9
x=63÷27
x= 73
34.【答案】(1)解:35x+4.2﹣4.2=7.5﹣4.2
35x=3.3
53×35x=3.3×53
x=5.5
(2)解: 0.8x=32
0.8x÷0.8=32÷0.8
x=40
(3)解: 2027 x= 59 × 125
2720×2027 x= 43×2720
x= 95
35.【答案】(1)解:12﹣4x=2.4
12﹣4x+4x=2.4+4x
2.4+4x﹣2.4=12﹣2.4
4x=9.6
4x÷4=9.6÷4
x=2.4
(2)解:1.2:7.5=0.4:x
1.2x=3
1.2x÷1.2=3÷1.2
x=2.5
36.【答案】(1)解: 12x+310x=24
45 x=24
45x×54=24× 54
x=30
(2)解:3.3x-3×3=57
3.3x-9=57
3.3x-9+9=57+9
3.3x=66
3.3x÷3.3=66÷3.3
x=20
(3)解:x:34=12:25
25 x= 38
52×25 x= 38×52
x= 1516
37.【答案】(1)解:512x= 116
125×512x= 116×125
x= 320
(2) 解: 13 x=0.8
3× 13 x=0.8×3
x=2.4
38.【答案】(1)解: 1320x=13
2013×1320x=13×2013
x=20
(2)解:35x=15
53×35x=15× 53
x=25
39.【答案】(1)解:5x-1.2x=7.6
3.8x=7.6
3.8x÷3.8=7.6÷3.8
x=2
(2)解:x:80%=4:0.4
0.4x=3.2
0.4x÷0.4=3.2÷0.4
x=8
(3)解: 34 x:6.4= 18 : 421
34 x× 421 =6.4× 18
17 x=0.8
x=0.8÷17
x=5.6
40.【答案】(1)解: 78x+9=30
78 x+9﹣9=30﹣9
78 x÷ 78=21÷ 78
x=24
(2)解:8:x=2.4:0.9
2.4x=8×0.9
2.4x÷2.4=7.2÷2.4
x=3
(3)解:2y﹣30%y=34
1.7y=34
1.7y÷1.7=34÷1.7
y=20
41.【答案】(1)解:3.6:x=8.4:10.5
8.4x=37.8
8.4x÷8.4=37.8÷8.4
x=4.5
(2)解: 34 x﹣ 16 x=3.5
712 x=3.5
127× 712 x=3.5× 127
x=6
42.【答案】(1)解:5:x=35:12
35 x=5× 12
35 x= 52
35 x× 53 = 52 × 53
x= 256
(2)解:4+14x=10
4+ 14x -4=10-4
14x=6
14x ×4=6×4
x=24
43.【答案】(1)解:11:x=25%:0.1
0.25x=1.1
4×0.25x=1.1×4
x=4.4
(2)解: 13 x-89×1.8=25
13 x-89 ×1.8+1.6= 25 +1.6
13x=2
3× 13 x=2×3
x=6
44.【答案】(1)解:0.25x+ 54=4
0.25x+54﹣54=4﹣54
0.25x=114
4×0.25x=114×4
x=11
(2)解:56: x=50%:35
0.5x= 12
2×0.5x= 12× 2
x=1
(3)解:0.3(6+x)=4.5
0.3(6+x)÷0.3=4.5÷0.3
6+x=15
6+x﹣6=15﹣6
x=9
45.【答案】解:①4:5=x:25
5x=4×25
5x=100
x=100÷5
x=20
②1 12 +4x=6.7
4x=6.7﹣1.5
4x=5.2
x=5.2÷4
x=1.3
③3x﹣60%x=4.32
2.4x=4.32
x=4.32÷2.4
x=1.8
④118:x=112 :3
112x=118×3
112 x= 16
x= 16×12
x=2
46.【答案】(1)解: 12x−310x=10
15 x=10
x=10×5
x=50
(2)解: 110:16=1.8:x
110 x=0.3
x=0.3×10
x=3
47.【答案】(1)解: x40 = 38
8x=120
8x÷8=120÷8
x=15
(2)解: 12 : 25 = 34 :x
12 x= 310
2× 12 x= 310×2
x= 35
(3)解: 23 x﹣ 12 x= 15
16 x= 15
6× 16 x= 15×6
x= 65
48.【答案】(1)解: 13 x+20%x=32
815 x=32
815x×158=32× 158
x=60
(2)解:x: 25 =50:8
8x= 25 ×50
8x÷8=20÷8
x= 52
(3)解:x﹣ 34 ×0.6= 310
x﹣ 920 = 310
x﹣ 920 + 920 = 310 + 920
x= 34
49.【答案】(1)解:5x=6×1.25
5x÷5=7.5÷5
x=1.5
(2)解:4.5x= 18
4.5x÷4.5= 18÷4.5
x= 136
(3)解: 1112 x=5.5
1211×1112 x=5.5× 1211
x=6
50.【答案】(1)解: x+30%=6.5
x+30%-30%=6.5-30%
x=6.2
(2)解:5:23=x:4.8
23 x=24
32×23 x=24× 32
x=36
(3)解:x:25=0.72:8
8x=25×0.72
8x÷8=18÷8
x=2.25
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