MathExamle.com

Age Restriction

This page contains a set of links to mathematical exercises. They are ordered by age restriction. For each age, there are corresponding exercises grouped into separate categories. Expand the lists and see the proposed options for mathematical examples.

5+
Recommended for children from five years old
Integer Examples
 
Step-by-step Tasks
 
6+
Recommended for children from six years
Integer Examples
 
Step-by-step Tasks
 
7+
Recommended for children from seven years
Integer Examples
 
 
 
 
 
 
 
Beginner 5.1 ip
8-(10-8)=6
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
 
8+
Recommended for children from eight years
Integer Examples
 
 
Beginner 0.2 ip
11+(8-6)=13
 
 
Beginner 2.4 ip
392-202=190
 
Beginner 3.4 ip
20+703=723
 
Beginner 4.3 ip
96-6-20=70
 
Beginner 5.2 ip
6+(2+7)=15
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.1 ip
10÷10 < 6÷1
 
 
Natural 2.2 ip
91-12 > 16-2
 
Natural 3.1 ip
2×5 > 8÷4
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
10+38+67=115
 
Beginner 5.3 ip
80-(73-13)=20
 
 
 
 
 
Cognizant 4.1 ip
30÷6×10=50
 
Cognizant 5.1 ip
(8÷4)×2=4
 
Cognizant 6.1 ip
5×2×(6÷3)=20
 
 
Column 1.2 ip
4320+5659=9979
 
Column 2.2 ip
7149-4065=3084
 
Column 3.2 ip
7700-5160=2540
 
 
 
Numeracy 1.1 ip
70-7×10=0
 
Numeracy 2.1 ip
28+16×4÷2=60
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
88÷11=8
 
Division #24
54÷3=18
 
 
Division #26
76÷4=19
 
Division #27
75÷5=15
 
 
Division #29
48÷4=12
 
Division #30
100÷10=10
 
 
Division #32
119÷7=17
 
Division #33
72÷4=18
 
Division #34
104÷8=13
 
Division #35
60÷10=6
 
Division #36
108÷9=12
 
 
Division #38
420÷20=21
 
 
Comparisons
 
 
 
 
Natural 2.3 ip
272+136 < 645+205
 
Natural 3.2 ip
12×7 < 2×43
Equations
 
 
 
 
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
764-(85+224)=455
 
Beginner 1.5 ip
82954+225573=308527
 
Beginner 2.5 ip
993679-793679=200000
 
Beginner 3.5 ip
379990+206282=586272
 
Beginner 5.4 ip
40+(10+569)=619
 
 
Cognizant 1.3 ip
36×30=1080
 
Cognizant 2.3 ip
2400÷80=30
 
 
 
Cognizant 5.2 ip
40×(2×2)=160
 
Cognizant 6.2 ip
450÷5×(16÷4)=360
 
Remainder 1.2 ip
111÷11=10(1)
 
Column 1.3 ip
120000+793277=913277
 
Column 2.3 ip
157910-66725=91185
 
Column 3.3 ip
210000-102695=107305
 
Multiplier 1.2 ip
8600×7=60200
 
Multiplier 1.3 ip
5500×60=330000
 
Divisor 1.2 ip
680÷4=170
 
Numeracy 0.1 ip
54÷6+68÷4=26
 
Numeracy 1.2 ip
687-6×102=75
 
Numeracy 2.2 ip
274-46×2÷23=270
 
Numeracy 3.1 ip
(9+8)÷(10+7)=1
 
 
Comparisons
 
 
Natural 0.3 ip
608÷8 > 470÷10
 
Natural 1.4 ip
839561 > 556301
 
Natural 2.4 ip
556069-472685 < 282987+529037
 
Natural 3.3 ip
2×5 < 8×9
Equations
 
 
 
Linear 1.3 ip
131+x=994
 
 
Linear 3.2 ip
x÷47+57=59
 
Linear 4.1 ip
3×(9-x)=9
Rounding
 
 
Round 1.1 ip
372≈37
 
Round 1.2 ip
6039≈60
 
Round 2.1 ip
413+192≈61
Language Exercises
 
 
Russian Vocabulary 2.3
оз рничать
 
 
 
Lexicon 1.2
p ate [dish]
 
Lexicon 2.2
l ss [privation]
 
Infinitive 1.1
undersell       undersold [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
179507-100936+21429=100000
 
Beginner 4.5 ip
160216+61763-190025=31954
 
Beginner 5.5 ip
479830-(650000-640891)=470721
 
 
Conversant 1.5 in
23499-299499=-276000
 
 
 
Cognizant 4.3 ip
50×6÷5=60
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
19×(26×40)÷2=9880
 
Remainder 1.3 ip
654÷100=6(54)
 
Multiplier 1.4 ip
4600×500=2300000
 
Divisor 1.3 ip
4800÷10=480
 
Numeracy 0.2 ip
(100-27)×(20-9)=803
 
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
 
Numeracy 1.3 ip
7000÷350+7117=7137
 
Numeracy 2.3 ip
3110×30+5400÷27=93500
 
Numeracy 3.2 ip
276+(45-44)×37=313
 
Numeracy 3.3 ip
52+(50+54)×12=1300
 
 
Decimal Examples
 
 
 
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
 
 
Partitive 1.2 dp
12.1+34.9=47
 
Partitive 2.1 dp
9.6-6.8+5.2=8
 
Partitive 2.2 dp
58.2-1.7+34=90.5
 
Partitive 3.1 dp
2.2+(2+1.3)=5.5
 
Partitive 3.2 dp
96.8-(76.5+0.9)=19.4
 
Divisional 1.1 dp
3.7÷0.5=7.4
 
Denary 1.1 dp
8.4×4.5=37.8
 
Denary 2.1 dp
28.5÷1.5=19
 
Denary 3.1 dp
1.4÷3.5=0.4
 
Fraction Examples
 
 
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
 
 
Natural 0.4 ip
772000÷193 < 519483÷129
 
Natural 3.4 ip
13×16 < 35732÷2
 
Ceil 0.1 in
10÷5 < -2×(-2)
 
 
Ceil 2.1 in
-1-7 < -0+10
 
Ceil 3.1 in
-2×(-2) > 9÷3
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
80.9-60.7 < 34.9+47.9
 
Improper 1.1 fp
9/10 > 3/4
 
Improper 1.2 fp
361/37 = 361/37
 
Improper 2.1 fp
1/2-3/10 < 3/5-1/5
Equations
 
 
 
Linear 0.3 ip
45×(14+x)=720
 
Linear 3.3 ip
x×30-720=0
 
Linear 4.2 ip
15×(43-x)=30
 
Linear 4.3 ip
220×(795-x)=440
 
 
Rounding
 
 
 
Rounding 2.1 dp
19.1-18.1≈1
 
Round 0.1 ip
986-19≈97
 
Round 0.2 ip
3500+2064≈56
 
Round 0.3 ip
894105-359965≈534
 
Round 1.3 ip
142664≈143
 
Round 2.2 ip
4031-2010≈20
 
Round 2.3 ip
200960+81480≈282
 
Round 3.1 ip
820÷4≈21
 
Round 3.2 ip
5770÷10≈6
 
Round 3.3 ip
435475×2≈871
Language Exercises
 
 
Russian Vocabulary 1.4
фильм тека
 
Russian Vocabulary 3.3
пр дирчиво
 
 
 
 
Lexicon 1.3
chick n [hen]
 
Infinitive 2.1
smite             [smite]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
10-98+21=-67
 
 
 
 
Conversant 2.3 in
-36+10-42=-68
 
 
Conversant 3.2 in
3+(7-20)=-10
 
Conversant 3.3 in
51-(-17-18)=86
 
Conversant 4.1 in
-(0-7)-(6+6)=-5
 
Conversant 4.2 in
(0-18)+(20+16)=18
 
Conversant 4.3 in
(72-90)-(44+28)=-90
 
Cognizant 0.4 ip
505×408=206040
 
Cognizant 1.4 ip
729×983=716607
 
Cognizant 2.4 ip
340000÷200=1700
 
Cognizant 3.4 ip
450000÷150=3000
 
Cognizant 4.4 ip
250×2÷10=50
 
Cognizant 5.4 ip
(250000÷5)÷250=200
 
Cognizant 6.4 ip
36300÷(10×11)÷11=30
 
Multiplier 1.5 ip
65000×1499=97435000
 
Divisor 1.4 ip
22400÷32=700
 
Intellect 0.1 in
-33+6÷2=-30
 
Intellect 1.1 in
-75+42÷3=-61
 
Intellect 2.1 in
-20-7×8+23=-53
 
Intellect 3.1 in
(6-66)÷(-2-4)=10
 
Logics 0.1 in
22÷(-2)×9=-99
 
Logics 1.1 in
-50÷5=-10
 
Logics 2.1 in
-9×(-2)×2=36
 
Logics 3.1 in
(-5×(-12))÷(-10)=-6
 
Logics 4.1 in
-10×(-14÷(-7))×(-2)=40
 
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
 
 
Partitive 0.3 dp
38.43-34.77=3.66
 
Partitive 1.3 dp
8.6+48.12=56.72
 
Partitive 2.3 dp
5.59+64.56-25.55=44.6
 
Partitive 3.3 dp
96.35-(20+10)=66.35
 
Split 0.1 dn
0.1-7.6=-7.5
 
Split 0.2 dn
42+40.5=82.5
 
Split 1.1 dn
2.2+6.8=9
 
Split 1.2 dn
-79.3+7.8=-71.5
 
Split 2.1 dn
1.9+2.6-4.7=-0.2
 
Split 2.2 dn
-30.6-32+9.6=-53
 
Split 3.1 dn
-3.7-(6.9-8.6)=-2
 
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
 
 
Divisional 1.2 dp
30.24÷1.12=27
 
Denary 0.1 dp
4.4×8=35.2
 
Denary 1.2 dp
2.25×2.4=5.4
 
Denary 2.2 dp
8.4÷7.5=1.12
 
Denary 3.2 dp
25.6÷6.4=4
 
Denary 4.1 dp
7.6×0.5×8=30.4
 
Denary 5.1 dp
(0.6×4)÷4.8=0.5
 
Definition 0.1 dp
36÷4.8+0.6×20=19.5
 
Definition 1.1 dp
27÷1.5-16.9=1.1
 
Definition 2.1 dp
6×0.5+3.6÷1.2=6
 
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
 
Negatory 1.1 dn
2×5.6-10.5=0.7
 
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
 
 
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
 
 
Numerator 0.1 fp
3/5+2/5-5/8=3/8
 
Numerator 0.2 fp
77/8-37/8-115/27=20/27
 
Numerator 1.2 fp
13/33+379/99=38/9
 
Numerator 2.1 fp
1/4+1/4+1/4=3/4
 
Numerator 2.2 fp
41/9-68/15+14/45=1/3
 
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
 
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
 
Denominator 0.1 fn
-4/5-1/5=-1/1
 
Denominator 1.1 fn
-4/5+7/10=-1/10
 
Denominator 2.1 fn
-1/5+4/5-1/10=1/2
 
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
 
Fragment 1.1 fp
38/9÷19/3=2/3
 
Fragment 1.2 fp
23/5×154/23=154/5
 
Fragment 2.1 fp
1/5×5/2÷5/8=4/5
 
 
Reduction 1.2 fp
550/572=25/26
 
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
 
 
Ceil 0.2 in
-83-11 < -10+81
 
Ceil 0.3 in
-22×(-3) = 11×6
 
 
Ceil 1.3 in
-809 < 610
 
Ceil 2.2 in
60-2 > 82-90
 
Ceil 2.3 in
-119-609 < 360-610
 
Ceil 3.2 in
100÷(-25) < -90÷30
 
Ceil 3.3 in
-36×(-4) = 720÷5
 
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
 
Point 0.2 dp
65.77 > 45.17
 
Point 1.2 dp
79.92 > 79.9
 
Point 1.3 dp
63.298 > 40
 
Point 1.4 dp
843.617 > 814.01
 
Point 2.2 dp
26.9+67.33 > 54.33-4.18
 
Point 2.3 dp
5.3+28.228 > 15.373+8.373
 
Point 3.1 dp
48÷8 > 0.5×8
 
Point 3.2 dp
63.76÷8 > 3.18×2.5
 
Doted 0.1 dn
28.9 > -84.6
 
Doted 0.2 dn
12.6-82.6 < 3.59+9.41
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
82.65 > -97.27
 
Doted 2.1 dn
59+13.2 > -56+77
 
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
 
Doted 3.1 dn
-44×1.4 < -1.4×17
 
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
 
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
 
Improper 0.2 fp
3/82 < 1/1
 
Improper 1.3 fp
544/575 < 1337/19
 
Improper 2.2 fp
10/7+33/70 < 16/19+433/95
 
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
 
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
 
Improper 3.2 fp
15/2÷45/38 = 3/4÷9/76
 
Descent 1.1 fn
-1/6 > -3/4
 
Descent 1.2 fn
-373/73 < 5/1
 
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
 
 
Lineal 0.1 in
-x÷(-2)=-1
 
Lineal 0.2 in
20×x-12=68
 
 
Lineal 1.3 in
-x-561=409
 
Lineal 2.2 in
-x×(-2)=-56
 
Lineal 2.3 in
28×(-x)=-868
 
 
Lineal 3.2 in
x-30=90
 
Lineal 4.1 in
(-x+6)×3=9
 
Lineal 4.2 in
44÷(x-62)=-11
Rounding
 
 
 
Rounding 0.2 dp
62.56÷3.03≈20.6
 
Rounding 1.2 dp
0.66≈0.7
 
Rounding 1.3 dp
24.999≈25
 
Rounding 2.2 dp
75.02-32.53≈42.5
 
Rounding 2.3 dp
98.601-0.651≈97.95
 
Rounding 3.1 dp
10.1×6≈61
 
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
 
 
 
 
Lexicon 2.3
stri ed [streaked]
 
Infinitive 1.2
sleep slept       [sleep]
 
Infinitive 3.1
drive             [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
(281+450)-(997-290)=24
 
Conversant 0.5 in
-515475+(967227-305954)=145798
 
Conversant 1.4 in
-499+18=-481
 
Conversant 2.4 in
747-520-474=-247
 
Conversant 2.5 in
964094+16553-417936=562711
 
Conversant 3.4 in
-172-(-877+488)=217
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
(333-538)+(211+44)=50
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
1562499÷139=11241
 
Intellect 0.2 in
-105-2×220=-545
 
Intellect 1.2 in
-672+340÷4=-587
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
(-60-75)÷(15+12)=-5
 
Logics 0.2 in
-528÷(-16)×13=429
 
Logics 1.2 in
92÷(-2)=-46
 
Logics 2.2 in
-288÷(-2)÷(-4)=-36
 
Logics 3.2 in
(10÷(-5))×(-10)=20
 
Logics 4.2 in
5×(-2)×(5×7)=-350
 
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
 
 
Partitive 0.4 dp
538.239-(111.628+85)=341.611
 
Partitive 1.4 dp
589.082-100=489.082
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
 
Split 0.3 dn
-40+43.29=3.29
 
Split 0.4 dn
-410.306+444.794-299.969=-265.481
 
Split 1.3 dn
15.99-2.66=13.33
 
Split 1.4 dn
344.568-375.72=-31.152
 
Split 2.3 dn
-36.27+86.24-95.42=-45.45
 
Split 2.4 dn
543.668-193.87-949.798=-600
 
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
 
Split 3.4 dn
77.155+(215-122.155)=170
 
Residual 1.2 dp
99÷12=8.25
 
Divisional 1.3 dp
0.192÷0.004=48
 
Denary 0.2 dp
7.2÷15=0.48
 
Denary 0.3 dp
0.5×0.12÷30=0.002
 
Denary 1.3 dp
3.75×0.032=0.12
 
Denary 2.3 dp
24.48÷3.2=7.65
 
Denary 3.3 dp
0.572÷2.75=0.208
 
Denary 4.2 dp
61.2÷34÷3=0.6
 
Denary 4.3 dp
2.34÷4.5×18=9.36
 
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
 
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
 
Definition 0.2 dp
7.92÷72+89.83=89.94
 
Definition 1.2 dp
2×0.04+9.95=10.03
 
Definition 1.3 dp
61.675+0.768÷0.64=62.875
 
Definition 2.2 dp
93.2-28.8÷22.5÷0.4=90
 
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
 
Definition 3.2 dp
50.1-0.8÷(75.64-67.64)=50
 
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
 
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
 
Negatory 1.2 dn
27.97+24.64÷8=31.05
 
Negatory 1.3 dn
-4.1×16+93.42=27.82
 
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
 
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
 
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
 
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
 
 
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
 
 
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
 
Numerator 1.3 fp
4264/695+1556/695=1164/139
 
Numerator 2.3 fp
4153/792+6119/792-1709/231=39/7
 
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
 
Denominator 0.2 fn
8/23+77/92-39/46=31/92
 
Denominator 1.2 fn
7/3+85/33=54/11
 
Denominator 1.3 fn
2440/27-15488/729=50392/729
 
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
 
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
 
Fragment 0.1 fp
2/3×1/4=1/6
 
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
 
Fragment 1.3 fp
49/96×2586/49=431/16
 
Fragment 2.2 fp
12/5×1/3×173/4=173/5
 
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
 
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
 
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
 
Reduction 1.3 fp
114/1178=3/31
 
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
 
Limited 1.2 fp
609/13×44/87-87/13=17/1
 
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
 
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
 
Complete 1.1 fn
-1/2×17/5+17/2=34/5
 
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
 
Complete 2.1 fn
(-1/3-1/6)÷5/6=-3/5
Comparisons
 
 
Ceil 0.4 in
771000-619149 > -618427-30535
 
Ceil 1.4 in
-809034 < 652031
 
Ceil 2.4 in
150146+91754 > 467574-711419
 
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
 
Point 0.3 dp
30.683 < 51.991
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
11.339+474.876 > 111.143+83.948
 
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
 
Point 3.4 dp
3.36×6.75 < 102.4×3.125
 
Doted 0.3 dn
-30+57 > -45.425-10.68
 
Doted 1.3 dn
-77.522 < -77.515
 
Doted 1.4 dn
707 > 650
 
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
 
Doted 2.4 dn
-426.077+261.642 < -41.617+503.363
 
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
 
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
 
Improper 3.3 fp
197/409×58/197 < 1/2÷2/121
 
Descent 0.1 fn
4/5+1/5 > -1/4-3/4
 
Descent 0.2 fn
-103/16 < 13/2
 
Descent 1.3 fn
-11384/127 < 623/9
 
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
 
Descent 3.1 fn
-2/3×(-1/3) > -1/2÷9/10
 
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
 
 
Lineal 0.3 in
32×(-x)=960
 
Lineal 3.3 in
32×x-230=186
 
Lineal 4.3 in
-60×(865-x)=540
 
Rounding
 
 
Rounding 0.3 dp
98.547≈98.55
 
Rounding 3.3 dp
27.479×2.6≈71.45
Language Exercises
 
 
Russian Vocabulary 1.5
вп валку
 
Russian Vocabulary 3.4
талантл вый
 
 
 
Lexicon 1.4
h morous [jocular]
 
Infinitive 2.2
stride             [stride]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-5067-264÷88=-5070
 
Intellect 1.3 in
1972×30-9155=50005
 
Intellect 2.3 in
-2686-2000÷40+5508=2772
 
Intellect 3.3 in
(800-1096)×(12+75)=-25752
 
Logics 0.3 in
-15×(-60)÷50=18
 
Logics 1.3 in
79×20=1580
 
Logics 2.3 in
952÷(-34)×95=-2660
 
Logics 3.3 in
-32×(-25×(-5))=-4000
 
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
 
 
 
Denary 0.4 dp
3.456÷15.36=0.225
 
Denary 1.4 dp
17.25×0.004=0.069
 
Denary 2.4 dp
230.4÷19.2=12
 
Denary 3.4 dp
42.24÷1.056=40
 
Denary 4.4 dp
46.8÷75×16=9.984
 
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
 
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
 
Definition 0.4 dp
361×0.729+326.831=590
 
Definition 1.4 dp
36.8×27-29.733=963.867
 
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
 
Definition 3.3 dp
40.04-(2.006+1.354)÷84=40
 
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
 
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
 
Negatory 0.4 dn
-1.2×384.8+246.534=-215.226
 
Negatory 1.4 dn
499.778-523.71÷0.828=-132.722
 
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
 
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
 
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
 
Fraction Examples
 
 
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
 
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
 
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
 
Fragment 0.3 fp
41/3÷205/3=1/5
 
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
 
Limited 0.2 fp
2/3×309/8-701/28=5/7
 
Limited 1.3 fp
25/116-18/29÷696/35=155/841
 
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
 
Complete 0.2 fn
(302/9-23/9)×11/31=11/1
 
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
 
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
 
 
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
 
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
 
Descent 0.3 fn
3681/353 > -268/5
 
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
 
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
 
 
Quadratic 0.1 in
-x2-6x+16=0
 
 
 
Quadratic 3.1 in
-x2-3x+10=0
 
 
 
System 2.1 ip
7y×x=280
 
System 3.1 ip
10y+4x=116
 
Set 0.1 in
-2x+6y=40
 
Set 1.1 in
-x+y=10
 
Set 2.1 in
-20y÷5x=1
 
Set 3.1 in
-1x-y=19
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
emplo ment [business]
 
Lexicon 2.4
imm diately [instantly]
 
Infinitive 1.3
spread spread       [spread]
 
Infinitive 3.2
remake             [remake]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-600×20=-12000
 
Logics 1.4 in
9568÷368=26
 
Logics 2.4 in
-1250÷(-25)×(-900)=-45000
 
Logics 3.4 in
-15×(-160×(-25))=-60000
 
Logics 4.4 in
25×(-50×32)×2=-80000
Fraction Examples
 
 
Limited 0.3 fp
(2/5+6/35)÷1/28=16/1
 
Limited 2.3 fp
(47/128+1/128)÷3/536=67/1
 
Complete 0.3 fn
295/182×(3/5-283/5)=-1180/13
 
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
 
 
 
 
Quadratic 2.2 in
-61x2-1220x=0
 
Quadratic 3.2 in
4x2+48x+80=0
 
System 0.2 ip
81y+21x=6750
 
 
System 2.2 ip
3x×y=8400
 
System 3.2 ip
60x-20y=60
 
Set 0.2 in
-90y+36x=-7560
 
Set 1.2 in
-x-y=-20
 
Set 2.2 in
-13x×26y=38532
 
Set 3.2 in
-4y-69x=-2780
Language Exercises
 
 
Russian Vocabulary 3.5
масл ница
 
 
Lexicon 2.5
del berate [ponder]
 
Infinitive 2.3
behold             [behold]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
2x2-544x+25134=0
 
Quadratic 1.3 in
187x2=7480000
 
Quadratic 2.3 in
950x2-148200x=0
 
Quadratic 3.3 in
3x2+288x+6045=0
 
 
System 2.3 ip
72000y÷20x=9000
 
System 3.3 ip
103x-y=75500
 
Set 0.3 in
9y×6x=7272180
 
Set 1.3 in
x-y=-26
 
Set 2.3 in
-2x×8y=-3008000
 
Set 3.3 in
-100y-40x=-57560
Language Exercises
 
 
Infinitive 3.3
overdraw             [overdraw]

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