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
1961+910910=912871
Beginner 4.5 ip
162366+277869+128409=568644
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
1520÷19=80
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
3×(200÷10)÷2=30
Remainder 1.3 ip
430÷31=13(27)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
7350÷49=150
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
5694÷26-46=173
Numeracy 1.3 ip
3659×16+456=59000
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
9360÷45=208
Remainder_ENG 1.3 ip
263÷27=9(20)
Decimal Examples
Partitive 0.1 dp
9.9-(2.1+5.3)=2.5
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
5.7-3.5=2.2
Partitive 1.2 dp
2.2+14=16.2
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
1.2+(0.9+5)=7.1
Partitive 3.2 dp
65.9-(42.6-2)=25.3
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
35.2÷8.8=4
Fraction Examples
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
-2-0 > -2-3
Ceil 1.1 in
-3 < 2
Ceil 2.1 in
-9-0 < 7+0
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
80.9-60.7 < 34.9+47.9
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
454/61 < 25/3
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
58-x=28
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
x×10+20=830
Linear 4.2 ip
68÷(14+x)=2
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
-x-10=-10
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
37.6≈38
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
754+14≈77
Round 0.2 ip
6598÷2≈33
Round 0.3 ip
263×2351≈618
Round 1.3 ip
244144≈244
Round 2.2 ip
9959-168≈98
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
339÷3≈11
Round 3.2 ip
3×985≈30
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
ув жать
English Vocabulary 3.2
ro gh
Lexicon 1.3
pr per [correct]
Infinitive 2.1
quick-freeze [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
(13+80)+(70-100)=63
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-25+99=74
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
-10-60+39=-31
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(20-0)+(9+10)=-1
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
676804÷148=4573
Cognizant 3.4 ip
430×220=94600
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(250000÷5)÷250=200
Cognizant 6.4 ip
417×32×(66÷22)=40032
Multiplier 1.5 ip
25348×3347=84839756
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
10-(-3-2)×6=40
Intellect 1.1 in
-75+42÷3=-61
Intellect 2.1 in
-88+12×3÷2=-70
Intellect 3.1 in
(6-66)÷(-2-4)=10
Logics 0.1 in
5×(-3)×(-2)=30
Logics 1.1 in
-2×4=-8
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
53.34+23.66=77
Partitive 2.3 dp
77.66-41.09+38.06=74.63
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
2.5-(-61.3-32)=95.8
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
91+3=94
Split 2.1 dn
4.7+6.9-9.7=1.9
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
-49.1-(65-37.1)=-77
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
0.9×6=5.4
Denary 1.2 dp
35×0.12=4.2
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
25.6÷6.4=4
Denary 4.1 dp
100÷2.5÷10=4
Denary 5.1 dp
1.2÷(12÷6)=0.6
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
-50.6-24×0.9=-72.2
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
69÷2=34.5
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
71/9-58/45-14/15=17/3
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
Denominator 0.1 fn
-1/5+1/3-4/5=-2/3
Denominator 1.1 fn
5/9+1/9=2/3
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
4/3÷8/3=1/2
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
1/5×5/2÷5/8=4/5
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
14/5×25/7-1/4=39/4
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
18 > -61
Ceil 1.3 in
268 > -563
Ceil 2.2 in
-25-23 < 10+0
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
23×(-4) > -790÷2
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
57.19÷19 > 1.25×2.4
Point 1.2 dp
50 > 42.67
Point 1.3 dp
65.799 < 77.263
Point 1.4 dp
789.892 > 131.845
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
85÷17 < 90.09÷6.93
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
28.1 < 33.6
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
2/9+4/9 > 7/8-3/8
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
641/220 < 11698/121
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
1/5÷1/3 = 9/10×2/3
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
367/50 > -503/70
Descent 2.1 fn
-1/2+1/1 > 2/3-1/3
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
35+x=75
Lineal 1.3 in
770+x=130
Lineal 2.2 in
-2×x=-84
Lineal 2.3 in
x×80=-800
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
-100÷x-10=0
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
67.3≈67
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
88.3÷66≈1.3
Language Exercises
Russian Vocabulary 2.4
к нцерт
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
unbind unbound [unbind]
Infinitive 3.1
feed [feed]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(74+223)+(670+7)=380
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-987259+785779-38520=-240000
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
-(707+363)+(546-286)=-810
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
Divisor 1.5 ip
238545÷171=1395
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
-170-19×6-136=-420
Intellect 3.2 in
317-(7+23)×25=-433
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
-10×20=-200
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
-8×8×(-2×4)=512
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
210-92=118
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
Split 0.3 dn
3.98-(-13.02-57)=74
Split 0.4 dn
-230+(-50-620)=-900
Split 1.3 dn
-93.76+11=-82.76
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-11.75-31.43+97.77=54.59
Split 2.4 dn
161.485+456.497-517.982=100
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
18.81÷13.75=1.368
Denary 1.3 dp
3.75×0.032=0.12
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
3.36÷70=0.048
Denary 4.2 dp
1.1×5.5÷0.55=11
Denary 4.3 dp
66×0.176÷0.704=16.5
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
90.68-1.6×12.5=70.68
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
11+28.5×1.2+2.8=48
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
-7×4.4+11.44=-19.36
Negatory 1.3 dn
-1.25×2.24-37.2=-40
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
Residual_ENG 1.2 dp
84÷6=14
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
Numerator 0.3 fp
18/11+37/11+8054/491=10509/491
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
4153/792+6119/792-1709/231=39/7
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
-103/30+137/15=57/10
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
286/1027=22/79
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
(1/3+1/3)×1/2=1/3
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
-910920+128402 < -370576+776268
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
3.096×20 > 896.382÷18
Point 2.4 dp
925.983-860.483 < 48.669+24.331
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
Doted 1.3 dn
18 < 40.871
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-35.498-23.502 < -3-23.002
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
13194/163+3424/489 > 11692/133-102/133
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Lineal 0.3 in
760÷(746-x)=-95
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
x-y=9
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
об яние
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
poten ial
Lexicon 1.4
d velopment [growth]
Infinitive 2.2
hung [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-5264×11-91×56=-63000
Intellect 3.3 in
4859+(-60-100)×53=-3621
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
-2×250÷25=-20
Logics 3.3 in
-32×(-25×(-5))=-4000
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
Residual 1.3 dp
63÷4=15.75
Denary 0.4 dp
167.552÷152.32=1.1
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
0.6÷18.75=0.032
Denary 3.4 dp
51.48÷3.75=13.728
Denary 4.4 dp
23.75×2.56×0.5=30.4
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
Definition 0.3 dp
4.5÷0.5-6=3
Definition 0.4 dp
239.904÷940.8+195.996=196.251
Definition 1.4 dp
36.8×27-29.733=963.867
Definition 2.4 dp
11.776÷256+212.8×0.035=7.494
Definition 3.3 dp
39-0.014÷(100-86)=38.999
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
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
-758.262-36×0.39-27.698=-800
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
Residual_ENG 1.3 dp
17÷40=0.425
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
-8/11+(-3885/88+277/4)=195/8
Fragment 0.3 fp
35/3÷(2/3×1/2)=35/1
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
928.872÷(-63) < 545.9÷50
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
-1/3-6299/66 < -181/10+488/5
Descent 3.3 fn
25/2×(-231/130) > 18/19÷(-9/893)
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
y-x=3
System 1.2 ip
x-y=0
System 2.1 ip
90y÷10x=30
System 3.1 ip
2y+5x=70
Set 0.1 in
-x+y=13
Set 1.1 in
x+y=10
Set 2.1 in
-9y×x=900
Set 3.1 in
-10y+10x=0
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
em hasis
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
repr duce
Lexicon 1.5
commun cation [giving]
Lexicon 2.4
anal se [decompose]
Infinitive 1.3
win won [win]
Infinitive 3.2
awoken [awake]
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