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
452220-(652958-560738)=360000
Beginner 4.5 ip
956297-3081-25816=927400
Beginner 5.5 ip
77568+(248800+351933)=678301
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
0-4-4=-8
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
4×20÷(2×4)=10
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
4046+46×438=24194
Numeracy 1.3 ip
3659×16+456=59000
Numeracy 2.3 ip
3400-360÷12-428=2942
Numeracy 3.2 ip
(46+299)÷(21+2)=15
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
900÷90=10
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
9-(9.4-7.5)=7.1
Partitive 0.2 dp
69.9-(7.9+5)=57
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
92.8-7.5=85.3
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
Partitive 3.2 dp
20.5-(26.9-7.1)=0.7
Divisional 1.1 dp
3.6÷7.2=0.5
Denary 1.1 dp
0.6×60=36
Denary 2.1 dp
83.3÷3.5=23.8
Denary 3.1 dp
4×8.8=35.2
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
9/10-3/10=3/5
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
297×95 > 135010÷10
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
5 < 10
Ceil 2.1 in
-9+1 < -1-5
Ceil 3.1 in
8÷4 < 8÷2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
3/5 < 1/1
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
x×15=60
Linear 0.3 ip
132×(x-606)=660
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
(95-x)×16=80
Linear 4.3 ip
(x-67)×39=897
Lineal 1.1 in
-1-x=6
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
40.6≈41
Rounding 2.1 dp
83.3-33.4≈50
Round 0.1 ip
510-333≈18
Round 0.2 ip
6598÷2≈33
Round 0.3 ip
250235≈250
Round 1.3 ip
608331≈608
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
988÷13≈8
Round 3.2 ip
358×25≈90
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
pr per
English Vocabulary 3.2
alo e
Lexicon 1.3
loca ion [place]
Infinitive 2.1
take [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-5-2=-7
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
18-20=-2
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
-59-76+35=-100
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
28+(-1-38)=-11
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
550×456=250800
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
24482×3517=86103194
Divisor 1.4 ip
2400÷24=100
Intellect 0.1 in
-70+2×17=-36
Intellect 1.1 in
16×3-90=-42
Intellect 2.1 in
-5×5-2×33=-91
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
2×3×5=30
Logics 1.1 in
70÷5=14
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-2×25)÷5=-10
Logics 4.1 in
80÷(-8÷2)÷10=-2
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
38.6+(13.6+13.8)=66
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
0.88+53.43+11.69=66
Partitive 3.3 dp
96.35-(20+10)=66.35
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-4+2.6=-1.4
Split 1.2 dn
51+45=96
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
0.6×(0.5×5)=1.5
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
32+8÷3.2-4.5=30
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
74÷5=14.8
Divisional_ENG 1.2 dp
0.38÷0.02=19
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
2/5+3/5-2/9=7/9
Numerator 2.2 fp
17/2-7/6-112/39=58/13
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
3/2×37/6=37/4
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
-91 < -20
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
85 > -81
Ceil 1.3 in
403 > -804
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
910-282 > -391-339
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
73.6-2.7 > 14.2+56.2
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
79.15 > 74
Point 1.3 dp
50.702 < 50.709
Point 1.4 dp
685.07 > 400
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
-24.65 < 24.63
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
-97.2÷1.8 < 2×(-4.4)
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
1/5 < 7/10
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
1541/416 > 5/13
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
3/4 > -2/5
Descent 1.2 fn
161/60 < 239/35
Descent 2.1 fn
1/2+1/2 > 4/5-3/5
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
-58-x=32
Lineal 1.2 in
35+x=75
Lineal 1.3 in
x-9=58
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
615÷(-x)=41
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
-3×x+29=-1
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
20.54≈20.5
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
93.215-14.163≈79.05
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
s mmer
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
typecast typecast [typecast]
Infinitive 3.1
swing [swing]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
-203504-502786-200000=-906290
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
563-357-206=0
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
-720÷2÷3=-120
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
246.738+60-150.738=156
Partitive 1.4 dp
537.923-16.72=521.203
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
-22.45-6.22-11.74=-40.41
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
46-(163.428+26.744)=-144.172
Residual 1.2 dp
32÷20=1.6
Divisional 1.3 dp
0.192÷0.004=48
Denary 0.2 dp
9.6×0.5×12.5=60
Denary 0.3 dp
70.56÷49=1.44
Denary 1.3 dp
0.64×0.1=0.064
Denary 2.3 dp
61.425÷39=1.575
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
Definition 0.2 dp
20-8×0.8÷1.6=16
Definition 1.2 dp
61.76+3.2×3.2=72
Definition 1.3 dp
37.5+18×1.2=59.1
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
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
54.96-2.7÷10×30=46.86
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
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
90÷5=18
Divisional_ENG 1.3 dp
1.32÷33=0.04
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
1135/12-793/12=57/2
Numerator 2.3 fp
45/8+35/8+612/41=1022/41
Numerator 3.3 fp
1/8+(47/392+8/539)=20/77
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
18/19-1253/19=-65/1
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
12/19÷6/19=2/1
Fragment 2.2 fp
2/3×59/2÷236/5=5/12
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
Fragment 3.2 fp
141/8÷(27/2×1/36)=47/1
Reduction 1.3 fp
90/132=15/22
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
-1/9+14/3×15/7=89/9
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
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
-910920+128402 < -370576+776268
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
68.5-49.467 > 52.507-44.769
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
602.613-85.287 < 694.791-76.789
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
29.31 < 44.477
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
-100/17+2/1 > -4/1-6/19
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
43/11-290/77 > 19/2-139/14
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
ord nary
Lexicon 1.4
basi [main]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
586×43-392÷196=25196
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
7189-432÷24×3996=-64739
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
100×25=2500
Logics 2.3 in
62×(-4)×(-40)=9920
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
285.12÷10.56=27
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
Definition 3.3 dp
11.875÷(20.369+4.631)×4.6=2.185
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
Negatory 1.4 dn
-413.436-907.2×0.245=-635.7
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
Negatory 3.4 dn
-1.25÷(620.233-622.733)×50=25
Residual_ENG 1.3 dp
28÷14=2
Fraction Examples
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
75/2÷1/2=75/1
Fragment 3.3 fp
1/20÷(7/2×1/7)=1/10
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
387/11+1/4×564/11=48/1
Limited 2.2 fp
1712/51×(55/76+1/38)=428/17
Complete 0.2 fn
97/64×(2/11-354/11)=-97/2
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
693.585 > -920
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
55/3×1959/577 > 30/1×103/120
Equations
Quadratic 0.1 in
x2+11x+18=0
Quadratic 1.1 in
6x2=54
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
y+x=15
System 1.2 ip
x-y=65
System 2.1 ip
y×13x=520
System 3.1 ip
9y+5x=140
Set 0.1 in
-10y×8x=800
Set 1.1 in
-y+x=8
Set 2.1 in
-6y÷9x=1
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
equ valent
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
win won [win]
Infinitive 3.2
undercut [undercut]
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