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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
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﹣﹣4.2﹣
④×+÷⑤0.888×125×73+999×3⑥4﹣[3.75×(1.2﹣)+]
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) ×(﹣)
3.(2022·海港)计算下面各题(能简算的用简便方法计算)。
①②6.875﹣
③372÷25÷0.4④77×
4.(2022·竞秀)脱式计算。
①×4.5+6.5×80%﹣0.8②4×0.8×25%×12.5
③[﹣(﹣)]÷④2022×
5.(2022·八步)计算下面各题。
①5.8﹣1.9﹣2.1②×2.5××4
③÷(﹣)×④83×0.75+17÷
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()×15
④⑤⑥
7.(2022·灵武)脱式计算。
①26×15﹣200②8×4×12.5×0.25
③×+④12÷[()×]
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÷[(+)÷]
9.(2022·科尔沁左翼后旗)脱式计算下面各题
(1)5.4×[(32.4+)÷](2)2.03×101
(3)34.6×+85.4÷(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×(-)(3)2.7÷×
11.(2022·红塔)计算下面各题,能简算的要简算。
(1) -×(2)4.7﹣0.125﹣
(3)17×+(4)[(3+1.8)×]×
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×﹣8×0.75(4)24÷[(﹣)×(5.7﹣2.7)]
13.(2022·木兰)脱式计算,能简算的要简算。
(1)78×101(2) ×[﹣(﹣)](3)15﹣5.27﹣2.73
14.(2022·双城)脱式计算(能简算的要简算)
①+++②(-+)×24③1.5×+8.5×
④4×0.8×2.5×12.5⑤25××40%×⑥÷[(+)×]
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×+4.06÷2(3) ++-
16.(2022·英德)脱式计算,能简算的要简算。
(1)2.6×9.9
(2)0.125××8×(3)1.6÷(+)÷
17.(2022·惠来)脱式计算,用你喜欢的方式计算。
(1) ×÷(2) ×8××1.25
(3)96÷[56+(-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) --(2)2.5÷×
(3)(+-)×24(4)2÷[(-0.25)×]
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) ×75%÷(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÷﹣÷2(4) ÷[×(﹣)]
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××2.5÷(4)48×(+-)
22.(2022·殷都)脱式计算,怎样简便怎样算
①2.4÷×②(+﹣)×36③×99
④29.3﹣12.6﹣7.4⑤5.9×8.5﹣49×0.85⑥×[6÷(﹣)]
23.(2022·兴义)计算下面各题,能简算的要简算。
(1)13.06﹣0.72﹣28%
(2) ×91+9×8%(3)0.5÷[1﹣(+)]
24.(2022·安溪)用递等式计算
(1)4920÷24﹣16×12
(2)(6.3+2.1)÷2.4
(3)24×(+)(4) ÷[×(+)]
25.(2022·衡山)脱式计算,能简便的用简便方法计算。
(1)(﹣+)÷(2)0.75×65+×36﹣75%
(3)(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)(﹣)×12(4) ÷[×(﹣)]
27.(2022·樊城)脱式计算,能简算的要简算。
(1)2.5×32×0.125(2) ×(﹣)×
(3)3.14×43+7.2×31.4﹣150×0.314(4) ×[﹣(﹣)]
28.(2022·乐平)用你喜欢的方法计算
(1)4.05﹣2.83﹣0.17(2)5.2×+4.8×0.75(3)(+)÷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﹣-(3) ÷[(+)×]
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×﹣÷11(3) ×[÷(-)]
31.(2022·内乡)解方程
(1)x-x=(2) :x=:
32.(2022·新城)求未知数x。
(1)5x=12
(2)3x+6x=20.7
(3)
33.(2022·西安)解方程。
(1) :x=0.5:0.2
(2)20x÷4=0.25
(3)
34.(2022·潼关)解方程。
(1) x+4.2=7.5(2)128%x﹣48%x=32
(3) :x=:
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)(2)3.3x﹣3×3=57
(3)x:
37.(2022·竞秀)求未知数x。
(1)x:=:(2) x﹣x=0.8
38.(2022·安新)求未知数x。
(1)x+x=13(2)x:18=:
39.(2022·阳朔)解方程。
(1)5x﹣1.2x=7.6
(2)x:80%=4:0.4
(3) x:6.4=:
40.(2022·罗湖)解方程或比例。
(1)(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)x﹣x=3.5
42.(2022·三水)解方程。
(1)5:x=(2)4+=10
43.(2022·潮安)解方程。
(1)11:x=25%:0.1(2) x﹣×1.8=
44.(2022·泾县)解方程。
(1)0.25x+(2)(3)0.3(6+x)=4.5
45.(2022·黄山)解方程或解比例。
①4:5=x:25②1+4x=6.7
③3x﹣60%x=4.32④:3
46.(2022·包河)求未知数x。
(1)(2)
47.(2022·淮上)求未知数。
(1) =(2) :=:x(3) x﹣x=
48.(2022·盂县)解方程。
(1) x+20%x=32(2)x:=50:8(3)x﹣×0.6=
49.(2022·新荣)解方程或解比例。
(1)(2)(3)
50.(2022·泗水)求未知数。
(1)x+30%=6.5
(2)5:=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﹣﹣4.2﹣
=18.8﹣(5.8+4.2)﹣( + )
=18.8﹣10﹣1
=7.8
④ × + ÷
= × + ×
=( + )×
=1×
=
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﹣ )+ ]
=4﹣[3.75×0.4+ ]
=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: ×( - )
= × - ×
=1-
=
3.【答案】解:①
= ÷[( + )× ]
= ÷[ × ]
= ÷
= ×
=
②6.875﹣
=(6.875+0.125)﹣( + )
=7﹣1
=6
③372÷25÷0.4
=372÷(25×0.4)
=372÷10
=37.2
④77×
=(77﹣17)×
=60×
=48
4.【答案】解:① ×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[ ﹣( ﹣ )]÷
=[ ﹣ + ]÷
=[ + ﹣ ]÷
=[1﹣ ]÷
= ÷
=
④2022×
=(2021+1)×
=2021× +1×
=2020+
=2020
5.【答案】解:①5.8-1.9-2.1
=5.8-(1.9+2.1)
=5.8-4
=1.8
② ×2.5× ×4
=( × )×(2.5×4)
=3×10
=30
③ ÷( - )×
= ÷ ×
= ×
=
④83×0.75+17÷
=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( - )×15
=15×-×15
= -10
=1.25
④×+×
=×(+)
=×1
=
⑤÷3×
=×
=
⑥-[(+0.5)÷]
=-[÷]
=-
=
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
③ × +
= ×( + )
= ×1
=
④12÷[( )× ]
=12÷[ × ]
=12÷
=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÷[(+)÷]
=19÷[ ÷ ]
=19÷
=10
9.【答案】(1)解:5.4×[(32.4+)÷]
=5.4×[33÷ ]
=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×+85.4÷
=34.6× +85.4×
=(34.6+85.4)×
=120×
=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×(-)
=9×7× - ×9×7
=9﹣7
=2
(3)解:2.7÷×
=7.2×
=5.6
11.【答案】(1)解: -×
=﹣
=
(2)解:4.7﹣0.125﹣
=4.7﹣(0.125+ )
=4.37﹣1
=3.37
(3)解: 17×+
=(17+1)×
=18×
=14
(4)解: [(3+1.8)×]×
=[4.8× ]×
=4×
=
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×-8×0.75
=65×0.75+23×0.75-8×0.75
=(65+23-8)×0.75
=80×0.75
=60
(4)解:24÷[(-)×(5.7-2.7)]
=24÷[ ×3]
=24×
=16
13.【答案】(1)解:78×101
=78×(100+1)
=78×100+78×1
=7800+78
=7878
(2)解: ×[﹣(﹣)]
= ×( + - )
= ×(1- )
=
(3)解:15﹣5.27﹣2.73
=15﹣(5.27+2.73)
=15﹣8
=7
14.【答案】解:① + + +
=( + )+( + )
=1+1
=2
②( - + )×24
= ×24- ×24+ ×24
=16﹣6+4
=14
③1.5× +8.5×
=(1.5+8.5)×
=10×
=
④4×0.8×2.5×12.5
=(4×2.5)×(0.8×12.5)
=10×10
=100
⑤25× ×40%×
=(25×40%)×( × )
=10×1
=10
⑥ ÷[( + )× ]
= ÷( × )
= ÷
=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×+4.06÷2
= ×(2.94+4.06)
= ×7
=3
(3)解: ++-
= - +( + )
=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××8×
=(0.125×8)×( × )
=1×1
=1
(3)解:1.6÷(+)÷
=1.6÷ ×
=3×
=
17.【答案】(1)解: ×÷
= ×
=
(2)解: ×8××1.25
=( × )×(8×1.25)
=1×10
=10
(3)解:96÷[56+(-0.6250)]
=96÷[56+( -0.6250)]
=96÷[56+0]
=96÷56
=
(4)解:1.35×65+6.5×86.5
=65×(1.35+8.65)
=65×10
=650
18.【答案】(1)解: --
= -( + )
= -1
=
(2)解:2.5÷×
=4×
=17
(3)解:(+-)×24
= ×24+ ×24- ×24
=8+20-9
=28-9
=19
(4)解:÷[(-0.25)×]
= ÷[ × ]
= ÷
=
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: ×75%÷
= ÷
=
(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÷-÷2
=3-
=
(4)解: ÷[×(-)]
= ÷( × )
= ÷
=
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× ×2.5÷
=(4×2.5)×(×9)
=10×1
=10
(4)解:48×( + - )
=48× +48× ﹣48×
=28+30﹣40
=18
22.【答案】解:①2.4÷ ×
=2.4× ×
=2.8×
=0.6
②( + - )×36
= ×36+ ×36- ×36
=20+33-24
=53-24
=29
③ ×99
= ×(100-1)
= ×100- ×1
=98-
=
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
⑥ ×[6÷( - )]
= ×[6÷]
=×
=
23.【答案】(1)解:13.06-0.72-28%
=13.06-(0.72-28%)
=13.06-1
=12.06
(2)解: ×91+9×8%
= ×(91+9)
= ×100
=8
(3)解:0.5÷[1-(+)]
=0.5÷[1- ]
=0.5÷
=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×(+)
=24× +24×
=10+9
=19
(4)解: ÷[×(+)]
= ÷[ × ]
= ÷
=
25.【答案】(1)解:(﹣+)÷
=( ﹣ + )×24
= ×24﹣ ×24+ ×24
=4﹣3+2
=1+2
=3
(2)解:0.75×65+×36﹣75%
=0.75×(65+36﹣1)
=0.75×100
=75
(3)解:
=(1﹣ )+( ﹣ )+( ﹣ )+……+( ﹣ )
=1﹣ + ﹣ + ﹣ +……+ ﹣
=1﹣
=
(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(﹣)×12
= ×12﹣ ×12
=9﹣4
=5
(4)解: ÷[×(﹣)]
= ÷[ × ]
= ÷
=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: ×(﹣)×
= × ×
=1×
=
(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: ×[﹣(﹣)]
= ×( + - )
= ×(1- )
= ×
=
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×+4.8×0.75
=(5.2+4.8)×
=10×
=7.5
(3)解:(+)÷4
= ÷4
=
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﹣-
=6﹣( + )
=6﹣1
=5
(3)解: ÷[(+)×]
= ÷[ × ]
= ÷
=
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×﹣÷11
=3× ﹣ ×
=(3- )×
=
(3)解: ×[ ÷( - )]
=×[÷]
= ×
=4
31.【答案】(1) x-x=
解: x=
x=÷
x=
(2) :x=:
解: x=×
x=÷
x=
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:
15x=14
15x÷15=14÷15
x=
33.【答案】(1)解: :x=0.5:0.2
0.5x=3 ×0.2
0.5x=0.7
x=0.7÷0.5
x=
(2)解:20x÷4=0.25
20x=0.25×4
20x=1
x=1÷20
x=
(3)解:
27x=7×9
x=63÷27
x=
34.【答案】(1)解:x+4.2﹣4.2=7.5﹣4.2
x=3.3
x=3.3×
x=5.5
(2)解: 0.8x=32
0.8x÷0.8=32÷0.8
x=40
(3)解: x= ×
x=
x=
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:
x=24
x×=24×
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:
x=
x=
x=
37.【答案】(1)解:x=
x=
x=
(2) 解: x=0.8
3× x=0.8×3
x=2.4
38.【答案】(1)解: x=13
x=13×
x=20
(2)解:x=15
x=15×
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: x:6.4= :
x× =6.4×
x=0.8
x=0.8÷
x=5.6
40.【答案】(1)解:
x+9﹣9=30﹣9
x÷ =21÷
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: x﹣ x=3.5
x=3.5
x=3.5×
x=6
42.【答案】(1)解:5:x=
x=5×
x=
x× = ×
x=
(2)解:4+=10
4+ -4=10-4
=6
×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: x-×1.8=
x- ×1.8+1.6= +1.6
x=2
3× x=2×3
x=6
44.【答案】(1)解:0.25x+
0.25x+﹣=4﹣
0.25x=
4×0.25x=
x=11
(2)解:
0.5x=
2×0.5x= 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 +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
④ :3
x=×3
x=
x=
x=2
46.【答案】(1)解:
x=10
x=10×5
x=50
(2)解:
x=0.3
x=0.3×10
x=3
47.【答案】(1)解: =
8x=120
8x÷8=120÷8
x=15
(2)解: : = :x
x=
2× x=
x=
(3)解: x﹣ x=
x=
6× x=
x=
48.【答案】(1)解: x+20%x=32
x=32
x×=32×
x=60
(2)解:x: =50:8
8x= ×50
8x÷8=20÷8
x=
(3)解:x﹣ ×0.6=
x﹣ =
x﹣ + = +
x=
49.【答案】(1)解:5x=6×1.25
5x÷5=7.5÷5
x=1.5
(2)解:4.5x=
4.5x÷4.5=
x=
(3)解: x=5.5
x=5.5×
x=6
50.【答案】(1)解: x+30%=6.5
x+30%-30%=6.5-30%
x=6.2
(2)解:5:=x:4.8
x=24
x=24×
x=36
(3)解:x:25=0.72:8
8x=25×0.72
8x÷8=18÷8
x=2.25
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