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
Addition #1
3+1=4
Addition #2
2+3=5
Addition #3
1+2=3
Addition #4
0+3=3
Addition #5
1+4=5
Subtraction #1
4-2=2
Subtraction #2
4-1=3
Subtraction #3
5-2=3
Subtraction #4
1-1=0
Subtraction #5
4-2=2
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
2+7=9
Addition #7
7+3=10
Addition #8
3+6=9
Addition #9
4+7=11
Addition #10
3-3=0
Addition #11
9+5=14
Addition #12
5+3=8
Addition #13
2+6=8
Addition #14
3+7=10
Addition #15
2+7=9
Addition #16
9+1=10
Addition #17
4+6=10
Addition #18
8+9=17
Addition #19
6+9=15
Addition #20
6-0=6
Addition #21
2+10=12
Addition #22
7+10=17
Subtraction #7
7-4=3
Subtraction #8
8-5=3
Subtraction #9
10-1=9
Subtraction #11
11-1=10
Subtraction #12
14-4=10
Subtraction #13
7-6=1
Subtraction #14
15-7=8
Subtraction #15
1-1=0
Subtraction #16
10-8=2
Subtraction #17
20-8=12
Subtraction #18
10-9=1
Subtraction #19
15-0=15
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
2-1=1
Beginner 1.3 ip
1+94=95
Beginner 2.3 ip
75-21=54
Beginner 3.3 ip
65-20=45
Beginner 4.2 ip
2+0+9=11
Beginner 5.1 ip
4+(5-5)=4
Step-by-step Tasks
Addition #23
9+2=11
Addition #24
0+0=0
Addition #25
10-10=0
Addition #26
22+2=24
Addition #27
13+23=36
Addition #28
14+4=18
Addition #29
0+20=20
Addition #30
12+17=29
Addition #31
15+11=26
Addition #32
19+6=25
Addition #33
7+12=19
Subtraction #22
17-6=11
Subtraction #23
10-1=9
Subtraction #24
17-2=15
Subtraction #26
4-3=1
Subtraction #27
11-4=7
Subtraction #28
19-5=14
Subtraction #29
7-6=1
Subtraction #31
27-7=20
Subtraction #32
20-20=0
Multiplication #1
1×2=2
Multiplication #2
9×2=18
Multiplication #3
10×2=20
Division #1
10÷1=10
Comparisons
Language Exercises
Russian Vocabulary 1.1
п ляна
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
2+16=18
Beginner 1.4 ip
238+42=280
Beginner 2.4 ip
775-5=770
Beginner 3.4 ip
90+444=534
Beginner 4.3 ip
80+19+1=100
Beginner 5.2 ip
11-(10-10)=11
Cognizant 1.1 ip
2×37=74
Cognizant 2.1 ip
91÷13=7
Cognizant 3.1 ip
8×7=56
Column 1.1 ip
52+44=96
Column 2.1 ip
98-41=57
Column 3.1 ip
37+11=48
Step-by-step Tasks
Addition #34
11+9=20
Addition #35
29+6=35
Addition #36
22+8=30
Addition #37
19+12=31
Addition #38
30+60=90
Addition #39
39+11=50
Addition #40
7+2+1=10
Subtraction #33
27-8=19
Subtraction #34
30-20=10
Subtraction #36
16-9=7
Subtraction #37
11-7=4
Subtraction #38
40-20=20
Subtraction #39
50-10=40
Multiplication #4
3×9=27
Multiplication #5
2×0=0
Multiplication #6
4×2=8
Multiplication #7
2×0=0
Multiplication #8
10×5=50
Multiplication #9
7×2=14
Multiplication #10
5×10=50
Multiplication #11
2×6=12
Multiplication #12
9×6=54
Multiplication #13
7×8=56
Multiplication #14
1×6=6
Multiplication #15
6×10=60
Multiplication #16
1×8=8
Multiplication #17
8×10=80
Multiplication #18
10×9=90
Multiplication #19
0×9=0
Multiplication #20
10×5=50
Multiplication #21
3×10=30
Division #2
12÷2=6
Division #3
12÷2=6
Division #4
3÷3=1
Division #5
8÷2=4
Division #6
12÷4=3
Division #7
8÷1=8
Division #8
5÷5=1
Division #9
27÷3=9
Division #10
10÷2=5
Division #11
12÷6=2
Division #12
30÷5=6
Division #13
28÷7=4
Division #14
24÷6=4
Division #15
20÷4=5
Division #16
72÷8=9
Division #17
24÷8=3
Division #18
54÷9=6
Division #19
35÷5=7
Division #20
30÷3=10
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
авт р
Russian Vocabulary 2.1
лфавит
Russian Vocabulary 3.1
учит льница
English Vocabulary 2.1
lmost
Lexicon 1.1
h use [home]
Lexicon 2.1
rm [hand]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
93-20=73
Beginner 4.4 ip
400-284+884=1000
Beginner 5.3 ip
48+(90-83)=55
Cognizant 0.1 ip
(10÷5)×3=6
Cognizant 1.2 ip
27×11=297
Cognizant 2.2 ip
511÷7=73
Cognizant 3.2 ip
939÷3=313
Cognizant 4.1 ip
20÷5×8=32
Cognizant 5.1 ip
3×(4×2)=24
Cognizant 6.1 ip
7×(2×3)×2=84
Remainder 1.1 ip
29÷9=3(2)
Column 1.2 ip
1177+7228=8405
Column 2.2 ip
4393-1358=3035
Column 3.2 ip
2313+7687=10000
Multiplier 1.1 ip
27×4=108
Divisor 1.1 ip
44÷2=22
Numeracy 1.1 ip
12÷6-2=0
Numeracy 2.1 ip
26+14÷7+10=38
Divisor_ENG 1.1 ip
64÷4=16
Remainder_ENG 1.1 ip
27÷3=9
Step-by-step Tasks
Multiplication #22
2×17=34
Multiplication #23
2×11=22
Multiplication #24
14×3=42
Multiplication #25
15×3=45
Multiplication #26
17×4=68
Multiplication #27
12×5=60
Multiplication #28
4×3=12
Multiplication #29
49×2=98
Multiplication #30
20×1=20
Multiplication #31
6×15=90
Multiplication #32
13×7=91
Multiplication #33
7×15=105
Multiplication #34
17×8=136
Multiplication #35
18×3=54
Multiplication #36
20×9=180
Multiplication #37
12×9=108
Multiplication #38
7×15=105
Multiplication #39
20×2=40
Multiplication #40
6×12=72
Division #22
8÷2=4
Division #23
0÷11=0
Division #24
18÷3=6
Division #25
26÷2=13
Division #26
56÷4=14
Division #27
85÷5=17
Division #28
24÷6=4
Division #29
36÷2=18
Division #30
100÷50=2
Division #31
42÷6=7
Division #32
112÷7=16
Division #33
56÷7=8
Division #34
104÷8=13
Division #35
125÷5=25
Division #36
90÷9=10
Division #37
60÷6=10
Division #38
480÷10=48
Division #39
17÷1=17
Division #40
77÷11=7
Comparisons
Natural 0.2 ip
80÷10 < 90÷10
Natural 1.3 ip
394 > 378
Natural 2.3 ip
808-460 > 20+20
Natural 3.2 ip
36÷2 < 12×2
Equations
Language Exercises
Russian Vocabulary 1.3
авт мобиль
Russian Vocabulary 2.2
наде ться
Russian Vocabulary 3.2
х зяйство
English Vocabulary 3.1
t day
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
975-21-84=870
Beginner 1.5 ip
108027+666122=774149
Beginner 2.5 ip
691254-681381=9873
Beginner 3.5 ip
1000000-0=1000000
Beginner 5.4 ip
878-(850-512)=540
Cognizant 0.2 ip
192÷(24÷2)=16
Cognizant 1.3 ip
10×23=230
Cognizant 2.3 ip
240÷12=20
Cognizant 3.3 ip
3600÷50=72
Cognizant 4.2 ip
500÷25×24=480
Cognizant 5.2 ip
(616÷7)÷8=11
Cognizant 6.2 ip
450÷5×(16÷4)=360
Remainder 1.2 ip
37÷16=2(5)
Column 1.3 ip
211817+782205=994022
Column 2.3 ip
465293-325906=139387
Column 3.3 ip
840216-352007=488209
Multiplier 1.2 ip
9009×4=36036
Multiplier 1.3 ip
2373×47=111531
Divisor 1.2 ip
993÷3=331
Numeracy 0.1 ip
9×6-44=10
Numeracy 1.2 ip
599-27÷3=590
Numeracy 2.2 ip
734-44÷22×289=156
Numeracy 3.1 ip
17-39÷(10+29)=16
Divisor_ENG 1.2 ip
420÷2=210
Remainder_ENG 1.2 ip
182÷17=10(12)
Comparisons
Natural 0.3 ip
40×4 < 936÷3
Natural 1.4 ip
151770 < 829427
Natural 2.4 ip
355445+308968 > 568909+95482
Natural 3.3 ip
15×4 > 8×5
Equations
Linear 0.1 ip
3-1×x=1
Linear 1.3 ip
419+x=518
Linear 2.3 ip
x×50=450
Linear 3.2 ip
x÷47+57=59
Linear 4.1 ip
(6-x)×4=8
Rounding
Language Exercises
Russian Vocabulary 2.3
микр фон
English Vocabulary 1.2
range
English Vocabulary 2.2
ins de
Lexicon 1.2
re r [background]
Lexicon 2.2
e ch [both]
Infinitive 1.1
forget forgot [forget]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
957514-57514=900000
Beginner 4.5 ip
956297-3081-25816=927400
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
0-2+3=1
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
16×125÷20=100
Cognizant 5.3 ip
(8×750)÷3=2000
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
370÷6=61(4)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
1984+(75+277)÷22=2000
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
493-(710-658)×3=337
Numeracy 3.3 ip
297+(747-702)÷15=300
Divisor_ENG 1.3 ip
8449÷71=119
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
Partitive 0.1 dp
9.9-(2.1+5.3)=2.5
Partitive 0.2 dp
21-(94.5-74.7)=1.2
Partitive 1.1 dp
5+3=8
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
96.8-(76.5+0.9)=19.4
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
15.6÷0.8=19.5
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
Natural 0.4 ip
20×3 < 8×44
Natural 3.4 ip
114×7 > 3×4
Ceil 0.1 in
-6÷(-3) > -8÷4
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
0.6+4.5 < 68.4-63.1
Improper 1.1 fp
1/4 < 4/5
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
480+x÷62=495
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
10+x=10
Lineal 2.1 in
x÷(-10)=1
Rounding
Rounding 1.1 dp
84.8≈85
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
671÷11≈6
Round 0.2 ip
4126≈41
Round 0.3 ip
1117×107≈120
Round 1.3 ip
47794≈48
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
5×43≈22
Round 3.2 ip
1117×5≈56
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
н верное
English Vocabulary 1.3
cr am
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
ro gh
Lexicon 1.3
pr per [correct]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
7+10-17=0
Conversant 0.3 in
-77+23+20=-34
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
20-42=-22
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
-10-60+39=-31
Conversant 3.1 in
-2-(1+4)=-7
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
7-(-30+12)=25
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
742×677=502334
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
250×2÷10=50
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
240×(6÷3)×950=456000
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
37200÷10=3720
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
28-69÷23-95=-70
Intellect 3.1 in
26+(74-82)×2=10
Logics 0.1 in
3×(-7)=-21
Logics 1.1 in
4×6=24
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
Partitive 0.3 dp
40-28.35+35.35=47
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
-4.4+5.1=0.7
Split 1.2 dn
-3-19.1=-22.1
Split 2.1 dn
5.3+5.3-1.6=9
Split 2.2 dn
-54.8-5.1+18=-41.9
Split 3.1 dn
-3.7-(6.9-8.6)=-2
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
1.44÷7.2=0.2
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
Negatory 1.1 dn
2×5.6-10.5=0.7
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
7/8-3/8-1/2=0/1
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
1/10+(1/10+2/5)=3/5
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
-1/2-1/5=-7/10
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
Denominator 3.1 fn
1/6-(-1/2-1/6)=5/6
Fragment 1.1 fp
21/4÷3/2=7/2
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
28/3×2/7×3/10=4/5
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
1216/57=64/3
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
85 > -81
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
18+43 > -28+57
Ceil 2.3 in
-239-388 < -248+30
Ceil 3.2 in
2×8 = -48÷(-3)
Ceil 3.3 in
-25×4 < 990÷9
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
789.892 > 131.845
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
10.277+8.723 < 45-7.757
Point 3.1 dp
34.5×2 > 97.2÷8.1
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
82.65 > -97.27
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
-4×(-0.8) > 90.6÷(-3)
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
Improper 0.1 fp
1/5÷1/2 > 1/3×3/5
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
10/3-47/42 > 309/38-241/38
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
-64/7 < 26/7
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
894-x=139
Lineal 2.2 in
-x÷(-5)=-5
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
4-2×x=4
Lineal 3.2 in
x×2+46=-48
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
-5×(-61-x)=0
Rounding
Rounding 0.1 dp
75.8-1.3≈75
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
58.34≈58.3
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
89.29-14.12≈75.2
Rounding 2.3 dp
0.671+68.427≈69.1
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
se ing
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
teach taught [teach]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
580-803-642=-865
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
-578+241+184=-153
Conversant 2.5 in
-987259+785779-38520=-240000
Conversant 3.4 in
622-(-707+509)=820
Conversant 3.5 in
1000000-(-810000+930000)=880000
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
6938712÷396=17522
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
326-(-37-39)÷4=345
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
-91.18+66.3-55.12=-80
Split 0.4 dn
-71-489.921=-560.921
Split 1.3 dn
78.2+11.8=90
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
-572.502-(-160.053+0)=-412.449
Residual 1.2 dp
20÷5=4
Divisional 1.3 dp
0.192÷0.004=48
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
5.5×0.046=0.253
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
46.24÷5.78=8
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
67.2÷10÷0.5=13.44
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
0.5×(3×0.064)=0.096
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
2.5÷31.25+11.34=11.42
Definition 1.3 dp
37.8÷0.8-44.988=2.262
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
6×0.16+20×0.015=1.26
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
8.75×0.64-5.7×8=-40
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
Residual_ENG 1.2 dp
40÷5=8
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
44258/575-43918/575=68/115
Numerator 2.3 fp
39927/409-20260/409-19258/409=1/1
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
-17/3-76/99=-637/99
Denominator 1.3 fn
3/4+3784/71=15349/284
Denominator 2.2 fn
757/77-1/3-20/21=94/11
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
(3/8+1/8)÷2/3=3/4
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-3/5-4/5÷1/8=-7/1
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
849.473-523.69 < 465.375+99.75
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
-55.176÷(-1.254) < 62.15÷1.243
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
4.375×(-2.432) < 42.556÷(-4)
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
1/4÷57/104 < 6/13×806/57
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
вн запно
English Vocabulary 1.4
irr tated
English Vocabulary 2.4
excl ding
Lexicon 1.4
c nnection [union]
Infinitive 2.2
hang [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
-2726-50×22×75=-85226
Intellect 3.3 in
-136-350÷(4905-4903)=-311
Logics 0.3 in
(1296÷36)÷6=6
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
5×20÷(-10)=-10
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
4.5×0.012=0.054
Denary 2.4 dp
529.2÷282.24=1.875
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(4×0.011)÷2=0.022
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
342.72÷21.76-3.758=11.992
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
39-0.014÷(100-86)=38.999
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
Negatory 0.3 dn
-25.734+8×8.918=45.61
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
-52+252.72÷13÷0.045=380
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
1049/37÷(1/5÷3/5)=3147/37
Fragment 3.3 fp
97/18×(576/13÷64/13)=97/2
Limited 0.2 fp
1255/36-27/32×2104/81=233/18
Limited 1.3 fp
805/566+4/11×385/8=5355/283
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
Complete 0.2 fn
19/3÷(-5/9-10/63)=-133/15
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
Doted 0.4 dn
2 < 721.033
Doted 3.4 dn
35×12.288 > 26.496×16
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
x2-8x+12=0
System 0.1 ip
y+x=15
System 1.2 ip
x+y=180
System 2.1 ip
7y×x=280
System 3.1 ip
7y+7x=84
Set 0.1 in
y+3x=-24
Set 1.1 in
-y+x=-11
Set 2.1 in
-9y×x=900
Set 3.1 in
-6x-7y=71
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
a knowledge
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
repr duce
Lexicon 1.5
enthu iastic [ebullient]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
fight [fight]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-975744÷44÷(12×22)=-84
Logics 1.4 in
-9776÷13=-752
Logics 2.4 in
-1250÷(-25)×(-900)=-45000
Logics 3.4 in
533×(39×(-30))=-623610
Logics 4.4 in
446×(-99360÷(-460))÷(-36)=-2676
Fraction Examples
Limited 0.3 fp
1/2-1/8÷5/4=2/5
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
Complete 0.3 fn
-(11/24-73/72)÷5/367=367/9
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
Quadratic 0.2 in
-75x2-7500x=0
Quadratic 1.2 in
60x2=7260
Quadratic 2.2 in
-10x2+10x=0
Quadratic 3.2 in
-2x2-14x+520=0
System 0.2 ip
81y+21x=6750
System 1.3 ip
x+y=609
System 2.2 ip
3x×y=8400
System 3.2 ip
60y-30x=2100
Set 0.2 in
-y×7x=-2079
Set 1.2 in
-y-x=-26
Set 2.2 in
-13x×26y=38532
Set 3.2 in
-60y+79x=-171
Language Exercises
Russian Vocabulary 3.5
надв е
English Vocabulary 3.5
c pacity
Lexicon 2.5
tr ditionally [typically]
Infinitive 2.3
slide [slide]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
61x2=8171316
Quadratic 1.3 in
29x2=3158100
Quadratic 2.3 in
276x2+2760x=0
Quadratic 3.3 in
2x2-892x+94458=0
System 0.3 ip
9y÷x=2
System 2.3 ip
38x×2y=2708640
System 3.3 ip
132x+108y=93720
Set 0.3 in
407y+74x=228882
Set 1.3 in
-y+x=101
Set 2.3 in
-6x×3y=92160
Set 3.3 in
-32y-4x=27116
Language Exercises
Infinitive 3.3
send [send]
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