··························································· 1
··························································· 3
····················································· 5
··························································· 7
··························································· 9
················································ 11
···························································· 13
························································· 15
··························· 17
························································· 19
···································· 21
·········································· 25
······················································ 26
······················································ 27
······················································ 29
······················································ 31
400-6300-999
10 1 100
15 5000 10
A.163100 B.158100 C.155000 D.150000
B
100 10 31 16
16 5000+100=5100
10 5100×31=158100 B
1. 25
4 125
A.1925 B.1875 C.2010 D.1765 2.
100 2 3 4 300 500 700
1
A.17 B.14 C.15 D.16
100
15 5000 10 31 31
400-6300-999
3. A Z 01 02 03
A-K 15 1
2 256
A.M12 B.N11 C.N10 D.M13 4. 16 16
A.188 B.192 C.196 D.200 5. 7 120
7
32
A.2 B.5 C.8 D.10
400-6300-999
3
32% 6
24%
A. 9 B. 9 C. 6 D. 6
B
32% =32 100=8
25 24% =24 100=6 25
8 6 25-8-6 =8 6 11 2
6 3 3 3×3=9
1. 1 2 3 450
A.1150 B.1000 C.900 D.750 2. 110 10
153
A.7 B.8 C.9 D.10
=32 100=8 25
=24 100=6 25
400-6300-999
3. 2 5 4
3 5
A.4 B.6 C.8 D.10 4.
1.2 300
A.6000 B.6600 C.7000 D.7700 5. 1 3 2
3 5 4
15
A.30 B.45 C.60 D.90
400-6300-999
A B 260 A 13% B 12.5%
A
A.75 B.87 C.174 D.67
B
A 13% A =A ×
A 100 A 100 200 B 12.5%
B =B × =B × B 8
A 200 B 60 8 A 100
13 87
1. 210 130
A.2 B.4 C.9 D.12 2. 7 5 65
3 4
A.175 B.245 C.420 D.180
13%=13/100 12.5%=1/8
400-6300-999
3. 160 17%
20%
A.48 B.60 C.72 D.96 4.
12 8 10
A.192 B.198 C.200 D.212 5. 10 1 10 10
A.9 B.12 C.15 D.18
400-6300-999
1. 10%
10% 20% 25
A.1250 B.1375 C.1550 D.1665
1. B
x 1+10% x- 1-10%
× 1+20% x=25 x=1250 1250× 1+10% =1375 B 2. 70% 80% 5
A.50% B.53% C.46% D.48% 2. B
10 10 100
10× 1+70% =17 8 2 5 17×0.5=8.5
17×8+8.5×2=153 153-100 ÷100×100%=53%
1. 1.4 2 8
30 15 8 100
15 8 60
A.1080 B.1200 C.1320 D.1440
× 1-10% × 1+20% - =25
× 1+10%
= × 1+70% = ×0.5
= ÷ 100%
400-6300-999
2. 200 8 50 6
100%
A.90 B.110 C.130 D.150 3. 30% 1
90%
A.13% B.17% C.20% D.27% 4.
20%
40% 80%
A.4% B.8% C.20% D.54% 5. 5 9
15% 20% 18% 30
A.36 B.32 C.28 D.26
400-6300-999
100 9
A.6 B.7 C.8 D.9
B
9
100÷9=11 1 15 14 13 12 11 10 9 8 7 1
7
1. 6 92.5 6
99 76
A.95 B.93 C.96 D.97 2. 2011 65 7
A.10 B.11 C.12 D.13 3. 10 100
5 12
A.2 B.3 C.4 D.5
9
400-6300-999
4. 20 60 20 88
95
A.88 B.89 C.90 D.91 5.254 20
A.17 B.15 C.14 D12
400-6300-999
300
100 80 70 50
70
A.71 B.119 C.258 D.277
C
69 50 1
70 69×3+50+1=258
1.
A.5 B.6 C.7 D.8 2. 5 8 18 21 22
15
A.34 B.35 C.36 D.37 3. 2013 12
30 31
A.346 B.347 C.348 D.349
400-6300-999
4. 2011
2826 2463 1831
2110
A.6049 B.6050 C.6327 D.6328 5. 90 80 20
16
30
A.59 B.75 C.79 D.95 6.
4
A.93 B.94 C.96 D.97
400-6300-999
13 3 6 10
2
A.15 B.16 C.17 D.18 D
1 x y 3×
13-x =10× 6-x =2× y-x x=3 y=18
1. 2
40 4 16
10
A.5 B.6 C.7 D.8
2.
20 5
16 6 11
A.7 B.8 C.9 D.11 3.
4 50 6
30 7
A.18 B.20 C.22 D.25
400-6300-999
4. 14:00 13:30
3 13:45
4 13:40
A.13:00 B.13:05 C.13:10 D.13:15 5. 9 8
8 3
5 6 4.5
A.5 B.6 C.7 D.8 6. 12 20
3 15
30
?
A. B. C. D.41
400-6300-999
A 420 B 300
30 B
A A B A B 120
A
A.54 B.100 C.200 D.300
A = 420+300 ÷30=24 / = 420+300
÷120=6 / 15 / 9 / A 54 /
1.A B 1755 45
A B 1.25
A.250 B.260 C.270 D.280
2. 2000 55
45 120
A.800 B.1200 C.1800 D.2400 3. 1880 160
3 4
A.180 B.190 C.200 D.210
400-6300-999
4. A 100 B 120
A B 80 A 10
80 B A
A.2 B.3 10
C.3 50 D.4 10
5. 20
4.5 / 27 /
A.8.1 B.9 C.11 D.11.9 6. 5 7 30 15
9
12
10
A.10 20 B.10 02 C.10 08 D.10 14
7. 60 50 40 A
B 15 A B
A.150 B.250 C.275 D.325
8.
30
A.3 B.2 30
C.2 D.1 30
400-6300-999
3
2760
70 / 110 /
A.32 B.46 C.61 D.64 B
=46 B
1. 210 a b
a 90 / b
120 / a b b
A.560 B.600 C.620 D.630
2. A B
35
25
A.80 B.85 C.90 D.95
400-6300-999
3. P Q
P 16 Q P
P 32
A.2 3 B.2 5 C.4 3 D.4 5
4. 100
100 72 100 60
12
A.9 B.10 C.11 D.12
400-6300-999
A S 270 A S
6.75 9 A S
A.84 B.50 C.54 D.81
C
= - ÷2
- ÷2=5 / A S 270÷5=54
1. 420 80 11
240 140 /
A.12 B.16 C.20 D.24 2. 8
6 9
A.288 B.196 C.216 D.256 3. A B B A
2
A.1 B.4 C.3 D.2
400-6300-999
4. 90 2
10
A.1.2 B.1.5 C.1.8 D.2 5. 50
100
A.500 B. 100-500
C.100 D. 100
400-6300-999
8
4
A.441 B.484 C.529 D.576 D
4~7
× × =576
1. 4×100 6
2 A.6 B.12 C.24 D.48 2. 6 3 3 4
A.24 B.36 C.48 D.72 3.
A.240 B.6000 C.10080 D.120
400-6300-999
2 3 4
A.24 B.288 C.1728 D.6912 C
× × × =6×2×6×24=1728
1.
A.24 B.96 C.384 D.40320
2. 5 1
2 4 1
A.630 B.700 C.15120 D.16800 3. 3 3
2 4
A. 1000 B.1000~5000
C.5001~20000 D. 20000
400-6300-999
8 4
A.48 B.120 C.360 D.1440
B
4 A =24 4 5 4
C =5 24×5=120
1.
A.48 B.72 C.96 D.120 2.
A.21 B.19 C.15 D.6 3. 1 2 9
A.10 B.14 C.21 D.35
4
400-6300-999
8 4 2
A.40 B.45 C.55 D.60
C
C =15
C =70 70-15=55
1. A B 1 2 3 4 5 6
A.27 B.24 C.32 D.54
2. 3 3
2
A.12 B.16 C.24 D.
3.A B A 5
4 B 3 4 2
A.318 B.528 C.1302 D.1470
400-6300-999
80%
A.0.768 B.0.800 C.0.896 D.0.924
C
=0.64
C ×0.8×0.2×0.8=0.256
0.64+0.256=0.896 C
1. 6 10 0.7
4 10
A.15%~25% B.25%~30% C.30%~35% D.35%~40% 2. 1
A. B. C. D.
3.
60% 30%
A. 5% B. 5%~10%
C. 10%~15% D. 15%
80%
400-6300-999
9 4
A.28 B.44 C.56 D.72
C
4
=56
1. 7 4 1
A.14 B.18 C.20 D.22 2. 20
A.28 B.36 C.54 D.78 3. 15
3 10
A.15 B.18 C.21 D.28 4. 8 8 3
A.28 B.36 C.45 D.78
9 4
400-6300-999
1. 10
15
A.5 B.6 C.7 D.8
1. B
30 3 2
30÷ 3+2 =6 B 2. 6 1 2
3 4
A.10 B.17 C.24 D.31
2. B
3 6 8
3 6 8 3+6+8 ×6
3+6+8 ×6÷6=17
1. 12 9 12
A.16 B.18 C.24 D.26 2. 10 15 12
5 2
A.6 B.9 C.7 D.8
400-6300-999
3. 30 25
4
19
A.1 B.3 C.5 D.7 4. A B A 300 1.5
/ B 200 3 /
A 50 B
A.475 B.500 C.525 D.615
5. 8 10
40% 20%
A.2 B.8 C.10 D.12
6. 4.5
9 3
A.1 2 B.1.5 1.5
C.2 1 D.1.2 1.8
7.A B 2 6
B 1
A
A.4 B.3 C.2 D.1
400-6300-999
1. A B C 60 170 150
280 A B B C C A
22 60 35
A.15 B.16 C.17 D.18
1. C
A B
C=A+B+C- - - 280+ 22+60+35 - 60+170+150
=17
2.
189 152
135 130 69
44
A.233 B.252 C.321 D.520
A=60 B=170 C=150
A B C=280 A B=22 B C=60A C=35
A=189 B=152
C=135 A B C=69 2 1
=A =B =C
400-6300-999
2. B
189+152+135-130-69×2=208
44 208+44=252
1. 42
22 16 25 8
6
A.5 B.6 C.7 D.8
2. 49
36 28 13
9
A.75 B.82 C.88 D.95 3. 90% 179
146 246
115 24 52
A.310 B.360 C.390 D.410 4. A B C
20 A 15 B 10 C 5
3 2
A.30 B.34 C.36 D.40
400-6300-999
1. 90
5 50
A.550 B.500
C.450 D.400
1. B
x 45-x x+5
40-x x 45-x - x+5 40-x =50 x=25
25× 45-25 =500
2. 1
A. B.1- C. D.1-
2. B
1
1 = 1-6
90 + =45
5 5 50
400-6300-999
1.
400
A.320 B.336 C.360 D.384 2. 44
5 3 95
A.85 B.105
C.117 D.121
3. ABC BD=2DC EC=2AE BFD AEF
A.4 B.5 C.8 D.9 4. a
b b 144 a
A.225 B.162 C.128 D.98
400-6300-999
5. 8 6
A.3 B.6 C.12 D.24 6. 4 6 x AB
x
A.3 5 B.1 3 C.2 4 D.1 6
7. ABCD AP 90 AB=4
BC=3 A 46
A.11 B.12 C.13 D.14
400-6300-999
8.
320 1700
A.375 B.400 C.425 D.430 9. 100
600
A.3 4 B.5 C.8 D.10 15
10. 8
112
A.432 B.588 C.768 D.945 11. 2016 2017
2017
A.37 B.38 C.72 D.76 12. 1.6
6.4
1 2
A.2 B.5 C.4 D.3
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