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
1+4=5
Addition #3
1+6=7
Addition #4
2+3=5
Addition #5
2+1=3
Subtraction #1
3-2=1
Subtraction #2
2-1=1
Subtraction #3
7-4=3
Subtraction #4
2-1=1
Subtraction #5
5-2=3
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
9+3=12
Addition #8
8+2=10
Addition #9
4+7=11
Addition #10
4+6=10
Addition #11
9+5=14
Addition #12
1+4=5
Addition #13
7+6=13
Addition #14
3+7=10
Addition #15
5+7=12
Addition #16
7+8=15
Addition #17
4+6=10
Addition #18
8+2=10
Addition #19
9+7=16
Addition #20
2-1=1
Addition #21
6+10=16
Addition #22
1+10=11
Subtraction #7
8-4=4
Subtraction #8
9-5=4
Subtraction #9
11-2=9
Subtraction #11
13-3=10
Subtraction #12
5-2=3
Subtraction #13
14-6=8
Subtraction #14
13-7=6
Subtraction #15
10-5=5
Subtraction #16
9-8=1
Subtraction #17
10-8=2
Subtraction #18
16-9=7
Subtraction #19
15-0=15
Subtraction #21
16-10=6
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
8-6=2
Beginner 1.3 ip
40+15=55
Beginner 2.3 ip
75-21=54
Beginner 3.3 ip
36-22=14
Beginner 4.2 ip
19-2+1=18
Beginner 5.1 ip
1+(2+1)=4
Step-by-step Tasks
Addition #23
10+8=18
Addition #24
5+5=10
Addition #25
6+14=20
Addition #26
14+2=16
Addition #27
23+11=34
Addition #28
14+4=18
Addition #29
20+10=30
Addition #30
19+19=38
Addition #31
0+25=25
Addition #32
14+16=30
Addition #33
7+0=7
Subtraction #22
8-6=2
Subtraction #23
14-11=3
Subtraction #24
3-2=1
Subtraction #26
10-3=7
Subtraction #27
24-4=20
Subtraction #28
16-15=1
Subtraction #29
18-6=12
Subtraction #31
19-7=12
Subtraction #32
20-20=0
Multiplication #1
1×6=6
Multiplication #2
2×10=20
Multiplication #3
0×1=0
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
од ванчик
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
16+(2+2)=20
Beginner 1.4 ip
3+144=147
Beginner 2.4 ip
779-1=778
Beginner 3.4 ip
32+218=250
Beginner 4.3 ip
23-10+4=17
Beginner 5.2 ip
18-(7+8)=3
Cognizant 1.1 ip
10×7=70
Cognizant 2.1 ip
20÷4=5
Cognizant 3.1 ip
8×7=56
Column 1.1 ip
72+17=89
Column 2.1 ip
99-89=10
Column 3.1 ip
20+60=80
Step-by-step Tasks
Addition #34
24+6=30
Addition #35
28+2=30
Addition #36
8+12=20
Addition #37
8+9=17
Addition #38
50+30=80
Addition #39
10+25=35
Addition #40
7+0+10=17
Subtraction #33
27-8=19
Subtraction #34
20-17=3
Subtraction #36
21-19=2
Subtraction #37
14-6=8
Subtraction #38
39-29=10
Subtraction #39
60-30=30
Multiplication #4
10×3=30
Multiplication #5
8×2=16
Multiplication #6
4×7=28
Multiplication #7
10×3=30
Multiplication #8
10×5=50
Multiplication #9
10×5=50
Multiplication #10
10×5=50
Multiplication #11
6×0=0
Multiplication #12
8×5=40
Multiplication #13
7×7=49
Multiplication #14
6×5=30
Multiplication #15
5×4=20
Multiplication #16
9×8=72
Multiplication #17
8×10=80
Multiplication #18
9×6=54
Multiplication #19
0×9=0
Multiplication #20
5×4=20
Multiplication #21
10×2=20
Division #2
14÷2=7
Division #3
20÷2=10
Division #4
18÷3=6
Division #5
18÷2=9
Division #6
40÷4=10
Division #7
4÷2=2
Division #8
0÷5=0
Division #9
0÷4=0
Division #10
20÷2=10
Division #11
48÷6=8
Division #12
18÷6=3
Division #13
28÷7=4
Division #14
32÷4=8
Division #15
70÷7=10
Division #16
48÷8=6
Division #17
35÷7=5
Division #18
63÷9=7
Division #19
35÷5=7
Division #20
40÷2=20
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
г тара
Russian Vocabulary 2.1
чу ть
Russian Vocabulary 3.1
щ гол
English Vocabulary 2.1
act r
Lexicon 1.1
e t [ingest]
Lexicon 2.1
h r [pronoun]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
27+1=28
Beginner 4.4 ip
897+24-626=295
Beginner 5.3 ip
20+(23-15)=28
Cognizant 0.1 ip
6÷2=3
Cognizant 1.2 ip
7×4=28
Cognizant 2.2 ip
744÷3=248
Cognizant 3.2 ip
38×24=912
Cognizant 4.1 ip
28÷4÷7=1
Cognizant 5.1 ip
90÷(18÷2)=10
Cognizant 6.1 ip
5×2×(6÷3)=20
Remainder 1.1 ip
46÷9=5(1)
Column 1.2 ip
2600+1978=4578
Column 2.2 ip
5356-4837=519
Column 3.2 ip
8747-4847=3900
Multiplier 1.1 ip
45×2=90
Divisor 1.1 ip
74÷2=37
Numeracy 1.1 ip
12÷6-2=0
Numeracy 2.1 ip
26-60÷2÷15=24
Divisor_ENG 1.1 ip
64÷4=16
Remainder_ENG 1.1 ip
27÷3=9
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
11×8=88
Multiplication #24
3×13=39
Multiplication #25
10×2=20
Multiplication #26
4×12=48
Multiplication #27
5×18=90
Multiplication #28
12×4=48
Multiplication #29
49×2=98
Multiplication #30
10×4=40
Multiplication #31
11×6=66
Multiplication #32
14×7=98
Multiplication #33
9×15=135
Multiplication #34
8×11=88
Multiplication #35
18×3=54
Multiplication #36
9×20=180
Multiplication #37
19×9=171
Multiplication #38
6×20=120
Multiplication #39
30×6=180
Multiplication #40
10×11=110
Division #22
16÷2=8
Division #23
22÷11=2
Division #24
42÷3=14
Division #25
30÷3=10
Division #26
0÷4=0
Division #27
85÷5=17
Division #28
40÷10=4
Division #29
21÷3=7
Division #30
60÷30=2
Division #31
60÷6=10
Division #32
84÷7=12
Division #33
140÷7=20
Division #34
128÷8=16
Division #35
60÷10=6
Division #36
144÷9=16
Division #37
28÷7=4
Division #38
490÷10=49
Division #39
72÷8=9
Division #40
12÷4=3
Comparisons
Natural 0.2 ip
45÷3 < 8×9
Natural 1.3 ip
732 > 596
Natural 2.3 ip
744-348 > 809-426
Natural 3.2 ip
75÷3 < 82÷2
Equations
Language Exercises
Russian Vocabulary 1.3
т пор
Russian Vocabulary 2.2
кла с
Russian Vocabulary 3.2
за тра
English Vocabulary 3.1
pla e
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
570-23+355=902
Beginner 1.5 ip
198915+99636=298551
Beginner 2.5 ip
668531-18531=650000
Beginner 3.5 ip
671069-157263=513806
Beginner 5.4 ip
763+(227-152)=838
Cognizant 0.2 ip
5×(6×10)=300
Cognizant 1.3 ip
100×70=7000
Cognizant 2.3 ip
240÷12=20
Cognizant 3.3 ip
17×91=1547
Cognizant 4.2 ip
36÷4÷9=1
Cognizant 5.2 ip
(69÷3)÷23=1
Cognizant 6.2 ip
8×4×(2×10)=640
Remainder 1.2 ip
37÷16=2(5)
Column 1.3 ip
120000+793277=913277
Column 2.3 ip
463429-240000=223429
Column 3.3 ip
191886-34940=156946
Multiplier 1.2 ip
7925×4=31700
Multiplier 1.3 ip
1379×70=96530
Divisor 1.2 ip
760÷5=152
Numeracy 0.1 ip
40÷10+69=73
Numeracy 1.2 ip
880÷8+426=536
Numeracy 2.2 ip
158×6+540÷20=975
Numeracy 3.1 ip
18+(2+4)×7=60
Divisor_ENG 1.2 ip
395÷5=79
Remainder_ENG 1.2 ip
172÷16=10(12)
Comparisons
Natural 0.3 ip
2×24 < 4×19
Natural 1.4 ip
897165 > 204909
Natural 2.4 ip
978592-119645 > 300438-238438
Natural 3.3 ip
720÷20 > 928÷29
Equations
Linear 0.1 ip
x+3=4
Linear 1.3 ip
410-x=100
Linear 2.3 ip
897÷x=299
Linear 3.2 ip
2×x-43=37
Linear 4.1 ip
(x-1)×5=10
Rounding
Language Exercises
Russian Vocabulary 2.3
сост заться
English Vocabulary 1.2
m inly
Lexicon 1.2
u ban [municipal]
Lexicon 2.2
wid [broad]
Infinitive 1.1
forget forgot [forget]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
1961+910910=912871
Beginner 4.5 ip
561273+249458-799031=11700
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-670307-6323=-676630
Conversant 2.1 in
-10+4-4=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(8×750)÷3=2000
Cognizant 6.3 ip
2×3648÷(128÷2)=114
Remainder 1.3 ip
436÷67=6(34)
Multiplier 1.4 ip
8118×869=7054542
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
(100-27)×(20-9)=803
Numeracy 0.3 ip
5694÷26-46=173
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
(136+1704)÷(53+867)=2
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
23.4+21.6=45
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
35.2÷0.5=70.4
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
7/9-1/3=4/9
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
2691×86 > 2×1274
Ceil 0.1 in
5 = 5
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
1/7 < 1/2
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
100÷(73-x)=4
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
76÷(18+x)=2
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
-1-x=6
Lineal 2.1 in
-3×(-x)=-9
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
9×101≈91
Round 0.2 ip
3×1404≈42
Round 0.3 ip
263×2351≈618
Round 1.3 ip
844542≈845
Round 2.2 ip
1780+667≈24
Round 2.3 ip
659654+74041≈734
Round 3.1 ip
988÷13≈8
Round 3.2 ip
1004×8≈80
Round 3.3 ip
75209×6≈451
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
st ff
English Vocabulary 3.2
s uare
Lexicon 1.3
stuf [matter]
Infinitive 2.1
see [see]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(10+6)+(6+0)=-10
Conversant 0.2 in
6-3=3
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
0-(-2-16)=18
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
(8-0)-(3-4)=9
Conversant 4.2 in
-(14-20)-(19-10)=-3
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
352×301=105952
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
-12÷2-75÷3=-31
Intellect 1.1 in
-20+5×2=-10
Intellect 2.1 in
23+24÷4+41=70
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
-48÷(-2)÷4=6
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
8.6+48.12=56.72
Partitive 2.3 dp
77.66-41.09+38.06=74.63
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2.2-2.2-1.3=-5.7
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
6.3-4.4=1.9
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
Residual 1.1 dp
14÷10=1.4
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
1.6×0.5×40=32
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
4×0.01=0.04
Denary 4.1 dp
1÷2.5×52=20.8
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
64÷5=12.8
Divisional_ENG 1.2 dp
14.4÷2.4=6
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
37/8-13/8+50/77=281/77
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
-4/5-1/5=-1/1
Denominator 1.1 fn
5/9+1/9=2/3
Denominator 2.1 fn
1/8-4/5-1/5=-7/8
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
59 = 59
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
-25-23 < 10+0
Ceil 2.3 in
350+507 = 879-22
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
828÷(-138) > 16×(-6)
Point 0.1 dp
16.7+3.8 > 14.6+5.8
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
533.338 > 450.065
Point 2.2 dp
5.76+0.27 < 45-15
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
14.5×6.8 > 27×0.5
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
47.3 > -86
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
-24.65 < 24.63
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
Improper 3.1 fp
1/2×4/5 > 3/5×5/9
Improper 3.2 fp
3/46×4/3 < 385/46×31/55
Descent 1.1 fn
3/4 > -2/5
Descent 1.2 fn
-264/49 < 125/17
Descent 2.1 fn
2/3-4/9 < -1/9+1/1
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
19×(x+53)=-76
Lineal 1.2 in
x+98=44
Lineal 1.3 in
-x-561=409
Lineal 2.2 in
x×(-8)=-80
Lineal 2.3 in
-x÷(-4)=97
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-4÷(-2+x)=-4
Lineal 4.2 in
2×(71+x)=-30
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
0.66≈0.7
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
75.02-32.53≈42.5
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
89.1÷9.48≈9.4
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
incl de
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
mistake mistaken [mistake]
Infinitive 3.1
see [see]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-74-280+927=573
Conversant 0.5 in
303217-(0-660000)=963217
Conversant 1.4 in
78-280=-202
Conversant 2.4 in
-543-917+552=-908
Conversant 2.5 in
278000-101822+61000=237178
Conversant 3.4 in
225+(429-110)=544
Conversant 3.5 in
181625-(-153365-643000)=977990
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
Divisor 1.5 ip
5636374÷587=9602
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
326-(-37-39)÷4=345
Logics 0.2 in
(4×(-25))÷(-20)=5
Logics 1.2 in
-480÷(-40)=12
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
20×(-26÷13)×(-8)=320
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
Partitive 1.4 dp
399.582+9.241=408.823
Partitive 2.4 dp
246.005+454.479+249.2=949.684
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
-87.46+(-90+98.79)=-78.67
Split 0.4 dn
-553.402-449.17+193.209=-809.363
Split 1.3 dn
-44.39-35.61=-80
Split 1.4 dn
-560+242.697=-317.303
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
-572.502-(-160.053+0)=-412.449
Residual 1.2 dp
77÷28=2.75
Divisional 1.3 dp
10.368÷32=0.324
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
0.5×0.12÷30=0.002
Denary 1.3 dp
0.8×54.675=43.74
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
(19.41+33.03)÷(89.02-87.64)=38
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
0.64×(69-74)×0.25=-0.8
Negatory 1.2 dn
-7×4.4+11.44=-19.36
Negatory 1.3 dn
-23.46÷93.84-89.75=-90
Negatory 2.2 dn
-6+0.5×10.24×18.75=90
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
-86.9+81÷(67-75.1)=-96.9
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
Residual_ENG 1.2 dp
50÷25=2
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
Numerator 0.3 fp
811/19+(405/19-1035/149)=8501/149
Numerator 1.3 fp
56/13+204/13=20/1
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
Denominator 0.2 fn
-58/9+4/9=-6/1
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
1/2-788/95+17/2=67/95
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
1/5÷1/10=2/1
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
11/3÷1/6=22/1
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
(3/2÷1/4)×1/3=2/1
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
Reduction 1.3 fp
2460/2697=820/899
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
51/2÷85/6+443/40=103/8
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
Ceil 0.4 in
-2×(-18) < 9000×6
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
121236-219349 < 906719-76722
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
0.75×29.44 < 18.785×4.8
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
981.991 > -39.637
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
48.789+522.414 > -118.102-318.831
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
Improper 0.3 fp
473/10 < 11159/150
Improper 3.3 fp
11/47÷11/842 > 201/235÷134/155
Descent 0.1 fn
5/6 > -5/8
Descent 0.2 fn
-5/2+2/1 < 11/2-19/9
Descent 1.3 fn
27641/566 < 55238/849
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
т нцор
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
rema ning
English Vocabulary 2.4
alc hol
Lexicon 1.4
m llionth [count]
Infinitive 2.2
hung [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(86+14)×(23+227)=25000
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
20×(-10)=-200
Logics 2.3 in
-2×250÷25=-20
Logics 3.3 in
(4×400)÷(-100)=-16
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
1.28×46.875=60
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
0.5×0.034=0.017
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
40.128-0.864÷1.6=39.588
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
3.52×0.05+530.528=530.704
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
63×0.352+54.075=76.251
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
-103.36÷16+873.055=866.595
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
20+(0.534+0.066)÷0.003=220
Residual_ENG 1.3 dp
92÷16=5.75
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
1209/37÷(130/17÷390/17)=3627/37
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
3/5×61/51+37/255=44/51
Limited 2.2 fp
377/15×(1/6+17/78)=29/3
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
9/13 < 16142/247
Descent 2.3 fn
553/9-7025/639 > 97/71-31/2
Descent 3.3 fn
17/24×(-1432/15) < -15/26×10/9
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
10y+10x=200
System 1.2 ip
x+y=180
System 2.1 ip
4x÷4y=1
System 3.1 ip
2y+5x=70
Set 0.1 in
x-y=5
Set 1.1 in
-x+y=10
Set 2.1 in
-2y×2x=-400
Set 3.1 in
7x-10y=140
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
em hasis
English Vocabulary 2.5
d sappointed
English Vocabulary 3.4
appre iate
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
speed [speed]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
500×(-200)÷800=-125
Logics 1.4 in
-940×(-600)=564000
Logics 2.4 in
40×83×(-90)=-298800
Logics 3.4 in
1000÷(2000÷20)=10
Logics 4.4 in
-830760÷(-43)÷(78150÷(-7815))=-1932
Fraction Examples
Limited 0.3 fp
(1/4-1/84)÷155/897=299/217
Limited 2.3 fp
11932/947÷(4/45+1/9)=59660/947
Complete 0.3 fn
-4/5×105/152-131/399=-37/42
Complete 2.3 fn
-4375/487×(-1/35-3/70)=625/974
Equations
Quadratic 0.2 in
-2x2+26x+280=0
Quadratic 1.2 in
16x2=40000
Quadratic 2.2 in
40x2-2120x=0
Quadratic 3.2 in
-x2+120x-1100=0
System 0.2 ip
x+y=150
System 1.3 ip
y+x=1296
System 2.2 ip
36x÷9y=3
System 3.2 ip
32y-9x=2553
Set 0.2 in
68640x÷77y=624
Set 1.2 in
-y-x=-4
Set 2.2 in
-2160x÷72y=-60
Set 3.2 in
-31y-x=-1509
Language Exercises
Russian Vocabulary 3.5
н верх
English Vocabulary 3.5
conv nient
Lexicon 2.5
ind pendence [liberty]
Infinitive 2.3
spread [spread]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
2x2-544x+25134=0
Quadratic 1.3 in
231x2=1006236
Quadratic 2.3 in
106x2+52788x=0
Quadratic 3.3 in
-3x2+657x-35502=0
System 0.3 ip
x+y=505
System 2.3 ip
38x×2y=2708640
System 3.3 ip
48y-x=43360
Set 0.3 in
18480y÷88x=525
Set 1.3 in
x-y=-26
Set 2.3 in
2y×2x=-112320
Set 3.3 in
239y-9x=-98470
Language Exercises
Infinitive 3.3
forewent [forego]
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