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
957514-57514=900000
Beginner 4.5 ip
160216+61763-190025=31954
Beginner 5.5 ip
722539-(212705+89834)=420000
Conversant 1.1 in
-4-3=-7
Conversant 1.5 in
47000-651290=-604290
Conversant 2.1 in
-6-4+0=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
2×3648÷(128÷2)=114
Remainder 1.3 ip
867÷75=11(42)
Multiplier 1.4 ip
2000×309=618000
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
7.7-3.3=4.4
Partitive 0.2 dp
69.9-(7.9+5)=57
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
17.5×1.6=28
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
703962-603037 > 746779-645871
Natural 3.4 ip
114×7 > 3×4
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
5 < 10
Ceil 2.1 in
-10+7 < 3+4
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
1/7 < 1/2
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
28+x=77
Linear 0.3 ip
45×(14+x)=720
Linear 3.3 ip
28×x+139=979
Linear 4.2 ip
(15+x)×2=30
Linear 4.3 ip
(747-x)×117=585
Lineal 1.1 in
x-5=0
Lineal 2.1 in
-x×5=-10
Rounding
Rounding 1.1 dp
13.2≈13
Rounding 2.1 dp
4.8+1.9≈7
Round 0.1 ip
947-335≈61
Round 0.2 ip
992≈10
Round 0.3 ip
263×2351≈618
Round 1.3 ip
629804≈630
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
228÷3≈8
Round 3.2 ip
1158÷2≈6
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
знам нитый
English Vocabulary 1.3
pr per
English Vocabulary 2.3
ver ion
English Vocabulary 3.2
fr end
Lexicon 1.3
pr per [correct]
Infinitive 2.1
oversee [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
47-22-16=9
Conversant 1.2 in
-6-6=-12
Conversant 1.3 in
-61+51=-10
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
91-63-88=-60
Conversant 3.1 in
-10+(4-4)=-10
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(9-7)-(7-1)=-8
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(80+80)+(92-22)=-90
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
424560÷120=3538
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
39×5×(4×640)=499200
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
-17-(10+9)÷19=-18
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
3×(-7)=-21
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
(-2×25)÷5=-10
Logics 4.1 in
-27×4÷(-6×(-2))=-9
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
6-69=-63
Split 2.1 dn
6-1.4-7.4=-2.8
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
18+(-31.6+50.5)=36.9
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
1.98÷24.75=0.08
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
3.8×11-25.4=16.4
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
62.6÷(4.8-2.8)÷62.6=0.5
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
40÷2=20
Divisional_ENG 1.2 dp
0.74÷0.2=3.7
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
1/4+1/4+1/4=3/4
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
1/4+(1/8+5/8)=1/1
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
1/2-7/10=-1/5
Denominator 1.1 fn
-1/2-1/2=-1/1
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
5/2÷25/9=9/10
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
646 > -545
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
-410 < 1000
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
100÷(-25) < -90÷30
Ceil 3.3 in
-16×4 < 858÷(-78)
Point 0.1 dp
59.7 < 76.5
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
23 > 21.12
Point 1.3 dp
70.202 > 40
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
58-57.25 < 82.09-65.09
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
48÷8 > 0.5×8
Point 3.2 dp
24.49÷7.9 > 17.71÷5.75
Doted 0.1 dn
0.8×(-37.5) = -90÷3
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
76.8 > -62.4
Doted 1.2 dn
-98.21 < -69
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
641/220 < 11698/121
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
3/10 > -7/8
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
-4×(x+76)=56
Lineal 1.2 in
-14-x=14
Lineal 1.3 in
x+720=0
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
x×80=-800
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
3.63+27.94≈31.6
Rounding 1.2 dp
90.51≈90.5
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
ma ter
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
let let [let]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
-543-917+552=-908
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
-233498+(-575715+763305)=-45908
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
-331-(40+17)÷3=-350
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
300÷25=12
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
93.016+363.889-433.397=23.508
Partitive 1.4 dp
247.113+52.56=299.673
Partitive 2.4 dp
400+298.346+158.623=856.969
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-35.09+20.59-79.31=-93.81
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-95.7-(-52.69+11.29)=-54.3
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
28.05÷5.1=5.5
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
15.125×0.032=0.484
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
20.09+21.6÷4.8=24.59
Definition 1.3 dp
39.788-4.68÷2.08=37.538
Definition 2.2 dp
2.32×37.5-2.56×18.75=39
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
11+28.5×1.2+2.8=48
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
24+18.75×0.32=30
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
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
88÷25=3.52
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
Denominator 1.2 fn
-657/74+637/74=-10/37
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
757/77-1/3-20/21=94/11
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
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
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
141/8÷(27/2×1/36)=47/1
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
27/4÷(1/2+1/4)=9/1
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
Complete 1.1 fn
3/4×50/9+5/2=20/3
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
89146 < 172997
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
304.188 > 297.074
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
-79.489 < -22.89
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
-441.303 < 441.295
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
7/10 > 1/3
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
9/1-12/5 < 22/13+194/39
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Lineal 0.3 in
-x÷(-3)=89
Lineal 3.3 in
-555+29×x=460
Lineal 4.3 in
(-959-x)×44=-396
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
мульт пликация
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
horiz ntal
Lexicon 1.4
basi [main]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-158×54-2160÷80=-8559
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
-9273-1112×80÷40=-11497
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
-2×250÷25=-20
Logics 3.3 in
-3861÷(-99÷3)=117
Logics 4.3 in
77×(-25)×(-45÷(-15))=-5775
Decimal Examples
Residual 1.3 dp
9÷30=0.3
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
51.48÷3.75=13.728
Denary 4.4 dp
194.4÷64.8÷4.8=0.625
Denary 5.4 dp
1.056÷(1.28×6.6)=0.125
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
342.72÷21.76-3.758=11.992
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
Negatory 0.4 dn
960.4+320÷200=962
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
3.85×(970-967)×0.16=1.848
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
1/6÷(1/4+1/4)=1/3
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
105/152×368/735-8/133=2/7
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
2 < 721.033
Doted 3.4 dn
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
3x2-6x=0
Quadratic 3.1 in
x2-8x+12=0
System 0.1 ip
13x÷y=13
System 1.2 ip
y+x=199
System 2.1 ip
44x÷3y=22
System 3.1 ip
9y+5x=140
Set 0.1 in
y×15x=-300
Set 1.1 in
-y+x=3
Set 2.1 in
-144x÷4y=-108
Set 3.1 in
-6x-7y=71
Language Exercises
Russian Vocabulary 2.5
б чева
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
equ valent
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
instit tion [founding]
Infinitive 1.3
draw drawn [draw]
Infinitive 3.2
speed [speed]
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