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.
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
259242+(953998-698000)=515240
Beginner 4.5 ip
863536-538372+354836=680000
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
7-7=0
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
3162÷17=186
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
695+2000÷16÷25=700
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
Divisor_ENG 1.3 ip
9360÷45=208
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
9.7-7.2+4.1=6.6
Partitive 0.2 dp
30.6+39.3+24=93.9
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
39.9+45.1=85
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
30.6÷8.5=3.6
Denary 1.1 dp
8×2.4=19.2
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
5×98 > 48300÷100
Ceil 0.1 in
7 > -2
Ceil 1.1 in
6 > -3
Ceil 2.1 in
9-4 > -6+10
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
32.8 < 58
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
1/8 < 7/8
Improper 1.2 fp
20/37 < 661/74
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
x÷8+922=927
Linear 4.2 ip
13×(84-x)=52
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
93.7≈94
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
228÷2≈11
Round 0.2 ip
9379-1047≈83
Round 0.3 ip
263×2351≈618
Round 1.3 ip
394545≈395
Round 2.2 ip
30+73≈1
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
11×91≈100
Round 3.2 ip
8990÷58≈2
Round 3.3 ip
235030÷10≈24
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
сост заться
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
ver ion
English Vocabulary 3.2
s uare
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
wore [wear]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-20+3=-17
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
-4-94-1=-99
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
-5+(-19+6)=-18
Conversant 3.3 in
-10-(40+30)=-80
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(80+80)+(92-22)=-90
Cognizant 0.4 ip
3080÷(70×2)=22
Cognizant 1.4 ip
741×1000=741000
Cognizant 2.4 ip
53760÷1792=30
Cognizant 3.4 ip
17440÷10=1744
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
720÷(4×2)=90
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
24482×3517=86103194
Divisor 1.4 ip
2400÷24=100
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-29-24÷12=-31
Intellect 2.1 in
-30+10×3×3=60
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
3×(-7)=-21
Logics 1.1 in
-9×(-5)=45
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(60÷4)×(-2)=-30
Logics 4.1 in
-84÷(3×(-4))×(-9)=-63
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
53.34+23.66=77
Partitive 2.3 dp
77-55.38+39.66=61.28
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
Split 0.1 dn
0.1-7.6=-7.5
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
0.6-7.5=-6.9
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
1.9+2.6-4.7=-0.2
Split 2.2 dn
8.9+52.4-52.3=9
Split 3.1 dn
7.2+(3.9-3.6)=7.5
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
40÷2=20
Divisional 1.2 dp
6.72÷0.56=12
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
2.88÷36=0.08
Denary 4.1 dp
81÷0.9÷37.5=2.4
Denary 5.1 dp
72÷(4.5×6.4)=2.5
Definition 0.1 dp
2.5×16.8-33.1=8.9
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
Definition 3.1 dp
0.8×(23.9-21.4)×10=20
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
74÷5=14.8
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
8/13+5/13+17/22=39/22
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
37/8-13/8+50/77=281/77
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
Numerator 3.2 fp
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
5/6-1/6=2/3
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
-1/4-1/4+1/2=0/1
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
20/8=5/2
Reduction 1.2 fp
24/72=1/3
Limited 1.1 fp
5/6÷15/2+1/3=4/9
Comparisons
Ceil 0.2 in
82 > -20
Ceil 0.3 in
-37 > -920
Ceil 1.2 in
43 > 16
Ceil 1.3 in
403 > -804
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
-16×4 < 858÷(-78)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
40.02 < 48
Point 1.2 dp
93.18 = 93.18
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
40-16.233 > 9.441+2.859
Point 3.1 dp
14.5×6.8 > 27×0.5
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
-50.4 < -39.1
Doted 1.2 dn
13 > -0.47
Doted 2.1 dn
-1.5+100 > 62.2+3.8
Doted 2.2 dn
16.21+15.79 > -45.73-24.27
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
Improper 0.2 fp
227/79 > 1/2
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
-(-3+x)×3=6
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
-x-52=-30
Lineal 1.3 in
x+56=-24
Lineal 2.2 in
x÷15=1
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
4×(-55-x)=-56
Rounding
Rounding 0.1 dp
15.7+14.2≈30
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
42.03-2.91≈39.1
Rounding 2.3 dp
29.431-25.435≈4
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
Russian Vocabulary 2.4
бр дячий
English Vocabulary 3.3
w rking
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
stick stuck [stick]
Infinitive 3.1
swore [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
563-357-206=0
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
856+(-119+194)=931
Conversant 3.5 in
-233498+(-575715+763305)=-45908
Conversant 4.4 in
-(92-67)+(152+426)=553
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
1562499÷139=11241
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
450÷30+259=274
Intellect 2.2 in
105×7-765÷153=730
Intellect 3.2 in
(280+104)÷(20+4)=16
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-2×(-250)÷(-25)=-20
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
2×(-5)×(-100÷(-10))=-100
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
119.87-341.97+409.266=187.166
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
161.045-911.045=-750
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-600+543.786+24.469=-31.745
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
Split 3.4 dn
77.155+(215-122.155)=170
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
18.81÷13.75=1.368
Denary 1.3 dp
3.4×4=13.6
Denary 2.3 dp
1.68÷0.56=3
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
18×2.8×0.115=5.796
Denary 5.2 dp
(1.2×0.3)÷0.02=18
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
20-8×0.8÷1.6=16
Definition 1.2 dp
50.4÷6.72-3.27=4.23
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
28.622+9×2.127÷76.572=28.872
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
-78÷1.3+39.1=-20.9
Negatory 0.2 dn
-67.71+77.76÷(1.07+1.33)=-35.31
Negatory 1.2 dn
-2.6+7×0.8=3
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
4744/99-(1/5+356/495)=47/1
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
Denominator 0.2 fn
-58/9+4/9=-6/1
Denominator 1.2 fn
-52/63+5/7=-1/9
Denominator 1.3 fn
18/19-1253/19=-65/1
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
25/2÷25/84=42/1
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
399/13×(29/2÷551/26)=21/1
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
Complete 1.1 fn
9/10÷3/8-3/5=9/5
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
10+478.4 < 19.623+679.245
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
-92+41 > -91.036+40.026
Doted 1.3 dn
29.31 < 44.477
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
280/33 > -461/55
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-14/17+167/17 > 1/2+49/6
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
вп валку
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
public y
English Vocabulary 2.4
men ion
Lexicon 1.4
basi [main]
Infinitive 2.2
sow [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
1690×60-9981=91419
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
-252÷18-1080÷90=-26
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
-3861÷(-99÷3)=117
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
81÷24=3.375
Denary 0.4 dp
9÷3.75×78.02=187.248
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
15.288÷3=5.096
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
Definition 0.3 dp
93.74+(0.894+1.356)×0.02=93.785
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
46.08÷1.125-10.175=30.785
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
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
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
39/17÷(4/3+113/3)=1/17
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
Doted 0.4 dn
-263.871-336.129 < 196.831+403.169
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
241/5-16131/340 > -766/9+56/1
Descent 2.3 fn
20363/732-20561/732 < 4/1+71/2
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
x2=16
Quadratic 1.1 in
3x2=192
Quadratic 2.1 in
-4x2-8x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
80y÷10x=8
System 1.2 ip
y+x=76
System 2.1 ip
10x×y=200
System 3.1 ip
3y-2x=7
Set 0.1 in
y+3x=-24
Set 1.1 in
-y+x=-11
Set 2.1 in
216x÷9y=-15
Set 3.1 in
-10y+4x=-60
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
commis ion
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
ill gal
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
manufact re [production]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
beseech [beseech]
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