内容正文:
2025-2026学年六年级数学下册人教版
第二单元计算专项02:百分数的四则计算
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一、百分数与整数乘法
1.直接写出得数。
120×25%= 150×40%= 200×15%= 240×30%=
300×20%= 350×12%= 400×25%= 450×16%=
2.直接写出得数。
2×1%= 3×2%= 5×2.5%= 8×3%=
10×3.2%= 12×4%= 15×4.5%= 20×4.8%=
二、整数除以百分数除法运算
1.直接写出得数。
150÷25%= 200÷40%= 240÷30%= 300÷15%=
360÷60%= 400÷20%= 450÷50%= 500÷25%=
2.直接写出得数。
1÷1%= 2÷2%= 5÷2.5%= 6÷3%=
8÷4%= 9÷4.5%= 10÷2%= 12÷3%=
三、简单混合运算
1.直接写出得数。
120×20% + 180×30%= 250 - 150×40%= 300÷50% + 200×10%=
180÷30% - 250= 220×15% + 280×25%= 500×20% ÷ 25%=
2.直接写出得数。
5×2%+3×1%= 10-8×2.5%= 6÷3%+4÷2%=
4×4%-2×2%= 15×3%+5×1%= 20÷4%-10÷2%=
7×2%+8×3%= 9÷4.5%+6÷3%=
四、脱式计算(对应成数、折扣)
1.脱式计算。
(1)150 + 120×30% (2)400 - 180÷60%
(3)350×(25% + 40%) (4)(420 - 150)÷75%
2.脱式计算。
(1)180×50% + 220 (2)300÷40% - 120
(3)250×(80% - 30%) (4)(500 + 180)×25%
3.脱式计算。
(1)160 + 240×60% (2)450 - 300÷75%
(3)320×40% + 180×50% (4)(380 - 120)÷50%
4.脱式计算。
(1)210×30% + 290 (2)500÷25% - 350
(3)190 + (450×40%) (4)600×(70% - 20%)
5.脱式计算。
(1)280 + 160×75% (2)360 - 240÷80%
(3)(220 + 180)×30% (4)420×50% + 180×60%
6.脱式计算。
(1)320×45% + 280 (2)550÷50% - 210
(3)240 + 360×25% (4)(480 - 160)÷40%
7.脱式计算。
(1)190 + 310×65% (2)400 - 280÷70%
(3)350×(30% + 50%) (4)520×40% - 120
8.脱式计算。
(1)260 + 240×80% (2)600÷60% - 380
(3)(320 + 180)×35% (4)450×55% + 150×45%
五、脱式计算(对应利率、税率)
1.脱式计算。
(1)5000×2.4%×2 (2)8000 + 8000×3.1%×1
(3)12000 - 12000×1.8% (4)(3000×4.2%×3) + 3000
2.脱式计算。
(1)150÷(2.5%×3) (2)2000×(1 + 3.5%×2)
(3)5000×4.8%÷2 (4)(15000×2.1%×1) - (8000×1.5%×1)
3.脱式计算。
(1)6000×3.8%×0.5 (2)4500×(1 + 4.5%×3)
(3)9000×2.3% + 9000×1.2% (4)7200 - (7200×3.6%×2)
4.脱式计算。
(1)4000×1.9%×5 (2)10000 + 10000×4.3%×2
(3)15000×(1 - 2.2%) (4)(6000×3.3%×1) + (6000×2.8%×2)
5.脱式计算。
(1)240÷(4.8%×2) (2)3500×4.6%×0.25
(3)8000 - (8000×1.5% + 8000×2.1%) (4)(9000×3.7%×4) + 9000
6.脱式计算。
(1)7000×2.7%×3 (2)12000×(1 + 3.9%×1)
(3)50000 - 50000×4.7% (4)(4500×2.0%×2)÷(3%×1)
7.脱式计算。
(1)3000×4.4%×1.5 (2)6500 + 6500×3.4%×0.5
(3)18000×(1 - 1.6% - 2.3%) (4)(8000×2.9%×3) - (5000×2.2%×3)
8.脱式计算。
(1)9000×1.3%×5 (2)20000 + 20000×4.0%×2
(3)16000 - 16000×3.0%×0.5 (4)(12000×3.5%×1) + (12000×2.8%×2)
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参考答案
一、百分数与整数乘法
1.30,60,30,72,60,42,100,72
2.0.02 0.06 0.125 0.24 0.32 0.48 0.675 0.96
二、整数除以百分数除法运算
1.600,500,800,2000,600,2000,900,2000
2.100 100 200 200 200 200 500 400
三、简单混合运算
1.78,190,620,350,103,400
2.0.13 9.8 400 0.12 0.5 0 0.38 400
四、脱式计算(对应成数、折扣)
1.(1)150 + 120×30%
= 150 + 120×0.3
= 150 + 36
= 186
(2)400 - 180÷60%
= 400 - 180÷0.6
= 400 - 300
= 100
(3)350×(25% + 40%)
= 350×(0.25 + 0.4)
= 350×0.65
= 227.5
(4)(420 - 150)÷75%
= 270÷0.75
= 360
2.(1)180×50% + 220
= 180×0.5 + 220
= 90 + 220
= 310
(2)300÷40% - 120
= 300÷0.4 - 120
= 750 - 120
= 630
(3)250×(80% - 30%)
= 250×(0.8 - 0.3)
= 250×0.5
= 125
(4)(500 + 180)×25%
= 680×0.25
= 170
3.(1)160 + 240×60%
= 160 + 240×0.6
= 160 + 144
= 304
(2)450 - 300÷75%
= 450 - 300÷0.75
= 450 - 400
= 50
(3)320×40% + 180×50%
= 320×0.4 + 180×0.5
= 128 + 90
= 218
(4)(380 - 120)÷50%
= 260÷0.5
= 520
4.(1)210×30% + 290
= 210×0.3 + 290
= 63 + 290
= 353
(2)500÷25% - 350
= 500÷0.25 - 350
= 2000 - 350
= 1650
(3)190 + (450×40%)
= 190 + (450×0.4)
= 190 + 180
= 370
(4)600×(70% - 20%)
= 600×(0.7 - 0.2)
= 600×0.5
= 300
5.(1)280 + 160×75%
= 280 + 160×0.75
= 280 + 120
= 400
(2)360 - 240÷80%
= 360 - 240÷0.8
= 360 - 300
= 60
(3)(220 + 180)×30%
= 400×0.3
= 120
(4)420×50% + 180×60%
= 420×0.5 + 180×0.6
= 210 + 108
= 318
6.(1)320×45% + 280
= 320×0.45 + 280
= 144 + 280
= 424
(2)550÷50% - 210
= 550÷0.5 - 210
= 1100 - 210
= 890
(3)240 + 360×25%
= 240 + 360×0.25
= 240 + 90
= 330
(4)(480 - 160)÷40%
= 320÷0.4
= 800
7.(1)190 + 310×65%
= 190 + 310×0.65
= 190 + 201.5
= 391.5
(2)400 - 280÷70%
= 400 - 280÷0.7
= 400 - 400
= 0
(3)350×(30% + 50%)
= 350×(0.3 + 0.5)
= 350×0.8
= 280
(4)520×40% - 120
= 520×0.4 - 120
= 208 - 120
= 88
8.(1)260 + 240×80%
= 260 + 240×0.8
= 260 + 192
= 452
(2)600÷60% - 380
= 600÷0.6 - 380
= 1000 - 380
= 620
(3)(320 + 180)×35%
= 500×0.35
= 175
(4)450×55% + 150×45%
= 450×0.55 + 150×0.45
= 247.5 + 67.5
= 315
五、脱式计算(对应利率、税率)
1.(1)5000×2.4%×2
=5000×0.024×2(2.4%=0.024)
=120×2
=240
(2)8000 + 8000×3.1%×1
=8000 + 8000×0.031×1(3.1%=0.031)
=8000 + 248
=8248
(3)12000 - 12000×1.8%
=12000 - 12000×0.018(1.8%=0.018)
=12000 - 216
=11784
(4)(3000×4.2%×3) + 3000
=(3000×0.042×3) + 3000(4.2%=0.042)
=(126×3) + 3000
=378 + 3000
=3378
2.(1)150÷(2.5%×3)
=150÷(0.025×3)(2.5%=0.025)
=150÷0.075
=2000
(2)2000×(1 + 3.5%×2)
=2000×(1 + 0.035×2)(3.5%=0.035)
=2000×(1 + 0.07)
=2000×1.07
=2140
(3)5000×4.8%÷2
=5000×0.048÷2(4.8%=0.048)
=240÷2
=120
(4)(15000×2.1%×1) - (8000×1.5%×1)
=(15000×0.021×1) - (8000×0.015×1)(2.1%=0.021,1.5%=0.015)
=315 - 120
=195
3.(1)6000×3.8%×0.5
=6000×0.038×0.5(3.8%=0.038)
=228×0.5
=114
(2)4500×(1 + 4.5%×3)
=4500×(1 + 0.045×3)(4.5%=0.045)
=4500×(1 + 0.135)
=4500×1.135
=5107.5
(3)9000×2.3% + 9000×1.2%
=9000×0.023 + 9000×0.012(2.3%=0.023,1.2%=0.012)
=207 + 108
=315
(4)7200 - (7200×3.6%×2)
=7200 - (7200×0.036×2)(3.6%=0.036)
=7200 - (259.2×2)
=7200 - 518.4
=6681.6
4.(1)4000×1.9%×5
=4000×0.019×5(1.9%=0.019)
=76×5
=380
(2)10000 + 10000×4.3%×2
=10000 + 10000×0.043×2(4.3%=0.043)
=10000 + 860
=10860
(3)15000×(1 - 2.2%)
=15000×(1 - 0.022)(2.2%=0.022)
=15000×0.978
=14670
(4)(6000×3.3%×1) + (6000×2.8%×2)
=(6000×0.033×1) + (6000×0.028×2)(3.3%=0.033,2.8%=0.028)
=198 + 336
=534
5.(1)240÷(4.8%×2)
=240÷(0.048×2)(4.8%=0.048)
=240÷0.096
=2500
(2)3500×4.6%×0.25
=3500×0.046×0.25(4.6%=0.046)
=161×0.25
=40.25
(3)8000 - (8000×1.5% + 8000×2.1%)
=8000 - (8000×0.015 + 8000×0.021)(1.5%=0.015,2.1%=0.021)
=8000 - (120 + 168)
=8000 - 288
=7712
(4)(9000×3.7%×4) + 9000
=(9000×0.037×4) + 9000(3.7%=0.037)
=(333×4) + 9000
=1332 + 9000
=10332
6.(1)7000×2.7%×3
=7000×0.027×3(2.7%=0.027)
=189×3
=567
(2)12000×(1 + 3.9%×1)
=12000×(1 + 0.039×1)(3.9%=0.039)
=12000×1.039
=12468
(3)50000 - 50000×4.7%
=50000 - 50000×0.047(4.7%=0.047)
=50000 - 2350
=47650
(4)(4500×2.0%×2)÷(3%×1)
=(4500×0.02×2)÷(0.03×1)(2.0%=0.02,3%=0.03)
=(180)÷0.03
=6000
7.(1)3000×4.4%×1.5
=3000×0.044×1.5(4.4%=0.044)
=132×1.5
=198
(2)6500 + 6500×3.4%×0.5
=6500 + 6500×0.034×0.5(3.4%=0.034)
=6500 + 110.5
=6610.5
(3)18000×(1 - 1.6% - 2.3%)
=18000×(1 - 0.016 - 0.023)(1.6%=0.016,2.3%=0.023)
=18000×0.961
=17298
(4)(8000×2.9%×3) - (5000×2.2%×3)
=(8000×0.029×3) - (5000×0.022×3)(2.9%=0.029,2.2%=0.022)
=696 - 330
=366
8.(1)9000×1.3%×5
=9000×0.013×5(1.3%=0.013)
=117×5
=585
(2)20000 + 20000×4.0%×2
=20000 + 20000×0.04×2(4.0%=0.04)
=20000 + 1600
=21600
(3)16000 - 16000×3.0%×0.5
=16000 - 16000×0.03×0.5(3.0%=0.03)
=16000 - 240
=15760
(4)(12000×3.5%×1) + (12000×2.8%×2)
=(12000×0.035×1) + (12000×0.028×2)(3.5%=0.035,2.8%=0.028)
=420 + 672
=1092
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