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
860109-833681+73544=99972
Beginner 5.5 ip
76400+(845413-391813)=530000
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-670307-6323=-676630
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
54÷27×(98×7)=1372
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
3162÷17=186
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
712×83+365=59461
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
5973÷11=543
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
59.3-57.6+96.1=97.8
Partitive 3.1 dp
9.3-(8+0.9)=0.4
Partitive 3.2 dp
27.3-(47.1-46)=26.2
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
7.6÷1.9=4
Denary 3.1 dp
6.6×5=33
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
Natural 0.4 ip
20×3 < 8×44
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
9 > -4
Ceil 2.1 in
10-5 > 10-9
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
76 = 76
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
7/10 > 2/3
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
3/5-1/10 < 1/2+1/6
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
-x+4=-3
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
13.2≈13
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
947-335≈61
Round 0.2 ip
4×2234≈89
Round 0.3 ip
263×2351≈618
Round 1.3 ip
608331≈608
Round 2.2 ip
343+5120≈55
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
516÷2≈26
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
игн рировать
Russian Vocabulary 3.3
пасный
English Vocabulary 1.3
perate
English Vocabulary 2.3
ver ion
Lexicon 1.3
chick n [hen]
Infinitive 2.1
outsit [outsit]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
-30+(-93+73)=-50
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-30+40=10
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
37-87+70=20
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
4-(-11+12)=3
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
(6-10)+(8+0)=4
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
144×625÷9=10000
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
5268×7432=39151776
Divisor 1.4 ip
60000÷30=2000
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
-32-2×19=-70
Intellect 2.1 in
34÷17-60÷6=-8
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
-36÷(-12÷(-6))=-18
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-16÷(-2)÷(-2)=-4
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
20÷(-2×(-2))×(-8)=-40
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
Partitive 0.3 dp
38.6+(13.6+13.8)=66
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
45.25-32.09+80=93.16
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
2-9.3=-7.3
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
-5.2+(7.6-6.3)=-3.9
Split 3.2 dn
-49.1-(65-37.1)=-77
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
0.51÷3=0.17
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
0.6×0.5=0.3
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
55.44÷42=1.32
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
Definition 3.1 dp
8×(9.9+2)÷17=5.6
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
8/9-1/9-1/3=4/9
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
57/8-85/32=143/32
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
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
-1/4-1/4+1/2=0/1
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
38/9÷19/3=2/3
Fragment 1.2 fp
49/5÷931/45=9/19
Fragment 2.1 fp
3/5×5/6÷3/4=2/3
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
76 > 24
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
36÷(-3) > -2×50
Ceil 3.3 in
828÷(-138) > 16×(-6)
Point 0.1 dp
14 > 13.8
Point 0.2 dp
31-30 < 86.89-63.35
Point 1.2 dp
79.15 > 74
Point 1.3 dp
44.273 < 99.665
Point 1.4 dp
950.553 > 56.38
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
6.6×0.5 < 58.5÷5
Point 3.2 dp
2.8×22 > 5×6.24
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
Doted 1.1 dn
27 > -32.8
Doted 1.2 dn
97.11 = 97.11
Doted 2.1 dn
40.8+50 > -74.7-16
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
Improper 0.1 fp
2/9+4/9 > 7/8-3/8
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
Improper 1.3 fp
1541/416 > 5/13
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
1/5÷1/3 = 9/10×2/3
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
1/6 < 7/9
Descent 1.2 fn
16/53 < 1/1
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
19×(x+53)=-76
Lineal 1.2 in
-97+x=-37
Lineal 1.3 in
x-9=58
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
x×(-31)=-930
Lineal 3.1 in
-x÷5+1=2
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
29.55+63.64≈93.2
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
21.5×1.5≈32
Rounding 3.2 dp
40×1.5≈60
Language Exercises
Russian Vocabulary 2.4
к ндидат
Lexicon 2.3
to ards [to]
Infinitive 1.2
rewrite rewritten [rewrite]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
-140+532=392
Conversant 2.4 in
563-357-206=0
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-105-2×220=-545
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
-170-19×6-136=-420
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
-480÷(-40)=12
Logics 2.2 in
-20÷10×(-19)=38
Logics 3.2 in
(10÷(-5))×(-10)=20
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
6106903÷473=12911
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
400+298.346+158.623=856.969
Partitive 3.4 dp
236.131+(503.656-404.787)=335
Split 0.3 dn
27-88=-61
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
7.616÷0.112=68
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
2.5÷31.25+11.34=11.42
Definition 1.3 dp
65.713+3.519×4=79.789
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
-5.44-10.25×0.64=-12
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
63.36÷9.216=6.875
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
1/2+159/2=80/1
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
36/5÷81/35×9/2=14/1
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
Reduction 1.3 fp
2024/46=44/1
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
82/3+138/5÷207/40=98/3
Limited 2.1 fp
13/4÷(19/4-17/4)=13/2
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
9/4×8/7-4/7=2/1
Complete 1.2 fn
-7/17÷79/34-18/79=-32/79
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
-438376+764292 > -138143-462878
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
79.322÷17 > 93.24÷31.08
Point 0.4 dp
200 > 117.366
Point 2.4 dp
405.597-304.966 < 41.823+222.594
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
Point 3.4 dp
932.992÷4.736 > 40×0.864
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
-12.675 > -563.71
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
8/1 < 95/1
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-89/9 < -3/1
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
выр зительность
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
men ion
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
overspill [overspill]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-398+42×2319=97000
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
572÷(-4)=-143
Logics 2.3 in
-3×(-250)÷(-50)=-15
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
285.12÷10.56=27
Denary 3.4 dp
1.5×480=720
Denary 4.4 dp
1.28×250×0.125=40
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
29.971-(50.44-50.34)×0.36=29.935
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
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
32.05-0.045÷(0.5+0.4)=32
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
74+29.568÷1.2=98.64
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
101.99+28.125×19.2=641.99
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
20+(0.534+0.066)÷0.003=220
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
Denominator 3.3 fn
-2/9+(-286/9-3185/558)=-21041/558
Fragment 0.3 fp
41/3÷205/3=1/5
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
100/7-1/3÷7/993=-33/1
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
553/9-7025/639 > 97/71-31/2
Descent 3.3 fn
55/3×1959/577 > 30/1×103/120
Equations
Quadratic 0.1 in
-2x2-18x=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
8x-4y=16
System 1.2 ip
x-y=14
System 2.1 ip
2y×8x=576
System 3.1 ip
2x-y=10
Set 0.1 in
-3y×12x=-324
Set 1.1 in
-x-y=4
Set 2.1 in
-20y÷5x=1
Set 3.1 in
-10y+10x=0
Language Exercises
English Vocabulary 1.5
cal ulation
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
equ valent
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
withdraw withdrew [withdraw]
Infinitive 3.2
sleep [sleep]
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