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
40000+955560=995560
Beginner 4.5 ip
863536-538372+354836=680000
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
9856÷8÷2=616
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
50000×140=7000000
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
4248+(4260-4228)÷16=4250
Numeracy 1.3 ip
7200÷16-250=200
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(57+103)÷(770-754)=10
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
9504÷22=432
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
5.2+3.8=9
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
99-34-49=16
Partitive 3.1 dp
3.6+(8.9-8.7)=3.8
Partitive 3.2 dp
22.1+(76.9-19.9)=79.1
Divisional 1.1 dp
3.6÷7.2=0.5
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
7.6÷1.9=4
Denary 3.1 dp
18.4÷2=9.2
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
1/4+3/4=1/1
Comparisons
Natural 0.4 ip
522270 > 22777
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
5 < 10
Ceil 2.1 in
-1-7 < -0+10
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
48.7 > 44.5
Point 2.1 dp
80.9-60.7 < 34.9+47.9
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
308/61 < 83/10
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
x×90=630
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
50×(8+x)=900
Lineal 1.1 in
-x-10=-10
Lineal 2.1 in
-3×(-x)=-9
Rounding
Rounding 1.1 dp
45.1≈45
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
510-333≈18
Round 0.2 ip
6598÷2≈33
Round 0.3 ip
252375+432481≈685
Round 1.3 ip
240839≈241
Round 2.2 ip
6143-1716≈44
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
820÷4≈21
Round 3.2 ip
2×1220≈24
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
проц дура
Russian Vocabulary 3.3
пасный
English Vocabulary 1.3
p enty
English Vocabulary 2.3
hor or
English Vocabulary 3.2
ncome
Lexicon 1.3
pr per [correct]
Infinitive 2.1
laid [lay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-8+10=-1
Conversant 0.2 in
-6-(17-3)=-20
Conversant 0.3 in
(41-7)-(19-40)=55
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
78-17=61
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
37-87+70=20
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
8×125000÷2000=500
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
17440÷10=1744
Cognizant 4.4 ip
1584÷528×511=1533
Cognizant 5.4 ip
(150000÷20)÷25=300
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
11473÷11=1043
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
-96÷6-40=-56
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
-80÷4÷(-2)=10
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
8.6+48.12=56.72
Partitive 2.3 dp
63.13-32.42-11=19.71
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
2-9.3=-7.3
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
51+45=96
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
33.7+11-68.6=-23.9
Split 3.1 dn
0.8+(1-9.7)=-7.9
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
6÷10=0.6
Divisional 1.2 dp
80.64÷4.2=19.2
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
0.6×30=18
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
30.4+3.6÷9=30.8
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
-8.5×5-45.5=-88
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
Residual_ENG 1.1 dp
58÷10=5.8
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
1/11+53/22=5/2
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
43/9+5/9+2/3=6/1
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
2/3+(25/3-13/20)=167/20
Denominator 0.1 fn
1/3+2/3-2/3=1/3
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
Fragment 1.1 fp
1/3÷2/5=5/6
Fragment 1.2 fp
3/2×569/30=569/20
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
Reduction 1.1 fp
68/12=17/3
Reduction 1.2 fp
5895/165=393/11
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
Ceil 0.2 in
-30+60 > -30+40
Ceil 0.3 in
-441+457 = -634+650
Ceil 1.2 in
-61 < 86
Ceil 1.3 in
450 > -610
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
910-282 > -391-339
Ceil 3.2 in
36÷(-3) > -2×50
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
12.5×7.2 > 13×6.4
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
79.15 > 74
Point 1.3 dp
41.862 > 12.645
Point 1.4 dp
190.863 < 436.083
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
Doted 0.2 dn
-60÷(-2) > 1.2×2
Doted 1.1 dn
96.6 > 45.6
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
40.8+50 > -74.7-16
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
Improper 1.3 fp
1703/128 > 71/352
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
Descent 1.1 fn
-2/7 < 2/7
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
-760÷x=76
Lineal 3.1 in
4-2×x=4
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
9.41×9.25≈87
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
43.163+9.338≈52.5
Rounding 3.1 dp
68.8÷3≈23
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
Russian Vocabulary 2.4
э спрессия
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
unbind unbound [unbind]
Infinitive 3.1
tread [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-74-280+927=573
Conversant 0.5 in
388273+(993690-733140)=648823
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
-766312+774055-939583=-931840
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
-61635+(-915317+616952)=-360000
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
400000÷400=1000
Intellect 0.2 in
(292-232)÷(11+19)=2
Intellect 1.2 in
503-300÷100=500
Intellect 2.2 in
353-10×18×4=-367
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-528÷(-16)×13=429
Logics 1.2 in
72÷3=24
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
2×(30×(-8))=-480
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
437.208+312.792=750
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
-91.18+66.3-55.12=-80
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
161.045-911.045=-750
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
-1.78-(12.26+28.06)=-42.1
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
12.1÷100=0.121
Denary 1.3 dp
0.64×0.1=0.064
Denary 2.3 dp
1.125÷3=0.375
Denary 3.3 dp
1.1×0.04=0.044
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
66×0.176÷0.704=16.5
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
66.38-1.43÷(0.66+1.54)=65.73
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
40÷5=8
Divisional_ENG 1.3 dp
1.32÷33=0.04
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
1592/17-1575/17=1/1
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
Fragment 0.1 fp
1/5÷1/10=2/1
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
1/5×408/5=408/25
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
Fragment 2.3 fp
19/2÷19/98×17/49=17/1
Fragment 3.1 fp
44/5×(1/5×15/4)=33/5
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
Limited 1.2 fp
609/13×44/87-87/13=17/1
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
Complete 1.1 fn
39/7+16/5÷7/4=37/5
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
98995 > -943987
Ceil 2.4 in
-410000-51370 > -287597-173825
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
602.613-85.287 < 694.791-76.789
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
546.477 < 635.778
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
initi tive
English Vocabulary 2.4
horiz ntal
Lexicon 1.4
h ndredth [centesimal]
Infinitive 2.2
retake [retake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
1260÷(5×(-7))=-36
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
8.96×25×0.05=11.2
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
936.92+2.7÷2.4-400=538.045
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
Negatory 3.4 dn
-846.352+(108.508+57.372)÷2.5=-780
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
Quadratic 0.1 in
2x2+18x=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-x2+6x-5=0
System 0.1 ip
80y÷10x=8
System 1.2 ip
y-x=36
System 2.1 ip
28y÷7x=10
System 3.1 ip
4x+6y=100
Set 0.1 in
2x×y=160
Set 1.1 in
x-y=-6
Set 2.1 in
-20y÷5x=1
Set 3.1 in
7x-10y=140
Language Exercises
Russian Vocabulary 2.5
п лицмейстер
English Vocabulary 1.5
unre sonable
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
nine eenth
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
awake [awake]
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