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
883585-43585=840000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
837822+(150358+9914)=998094
Conversant 1.1 in
7-7=0
Conversant 1.5 in
-718439+495963=-222476
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
26×10×(32÷2)=4160
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
(1000÷20)÷5=10
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
680÷90=7(50)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
400÷10+21×10=250
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
712×83+365=59461
Numeracy 2.3 ip
3400-360÷12-428=2942
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
9360÷45=208
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
Partitive 1.1 dp
5.2+3.8=9
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
9.6-6.8+5.2=8
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
96.8-(76.5+0.9)=19.4
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
6.6×5=33
Divisional_ENG 1.1 dp
13.8÷0.4=34.5
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
10-5 > 10-9
Ceil 3.1 in
-8÷2 < -4÷2
Point 1.1 dp
48.7 > 44.5
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
9/10 > 1/5
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
942-38×x=258
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
40.6≈41
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
228÷2≈11
Round 0.2 ip
992≈10
Round 0.3 ip
147857≈148
Round 1.3 ip
822773≈823
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
31×27≈84
Round 3.2 ip
4136÷8≈5
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
non ense
English Vocabulary 2.3
de erted
English Vocabulary 3.2
uni ue
Lexicon 1.3
ba teria [virus]
Infinitive 2.1
backslidden [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-20+5=-15
Conversant 0.3 in
-77+23+20=-34
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
74-74=0
Conversant 2.2 in
13-6-2=5
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
-(3-2)+(10-7)=2
Conversant 4.2 in
(16-18)+(3-20)=-19
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
32×25×(5×5)=20000
Cognizant 1.4 ip
550×456=250800
Cognizant 2.4 ip
636004÷2=318002
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-96÷6-40=-56
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
-64÷(2×(-2))÷(-4)=-4
Logics 1.1 in
4×6=24
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
90÷(45÷(-9))=-18
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
12000÷60=200
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
94.51-90.9=3.61
Partitive 2.3 dp
63.13-32.42-11=19.71
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
0.1-7.6=-7.5
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
-4.4+5.1=0.7
Split 1.2 dn
6-69=-63
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
-15.2+(-61-17.1)=-93.3
Residual 1.1 dp
15÷5=3
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
0.64×20=12.8
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
1.2÷(12÷6)=0.6
Definition 0.1 dp
2.5×16.8-33.1=8.9
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-10.2-15.6÷2.4=-16.7
Negatory 2.1 dn
22+32÷2.5×5=86
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
2/5-1/5=1/5
Numerator 0.2 fp
19/2-7/10-4/5=8/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
2/5+3/5-2/9=7/9
Numerator 2.2 fp
71/9-58/45-14/15=17/3
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
1/2×762/29=381/29
Fragment 2.1 fp
1/3×3/2×25/3=25/6
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
1216/57=64/3
Limited 1.1 fp
2/3×6/7+3/7=1/1
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-37 > -920
Ceil 1.2 in
-26 < -24
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
-25-23 < 10+0
Ceil 2.3 in
-239-388 < -248+30
Ceil 3.2 in
2×6 > 84÷12
Ceil 3.3 in
-16×4 < 858÷(-78)
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
93.18 = 93.18
Point 1.3 dp
83.811 < 83.827
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
71.25×0.64 < 91.22×0.5
Doted 0.1 dn
0.8×(-37.5) = -90÷3
Doted 0.2 dn
-95.2÷(-1.36) > 99.6÷1.66
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
-7.7+34.7 < -15.5+42.7
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
-16×(-4.95) > 97.6÷(-4.88)
Improper 0.1 fp
7/10-1/5 > 1/5+1/5
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
-3/5 > -4/5
Descent 1.2 fn
-64/7 < 26/7
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
x÷2+4=-1
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
-x÷(-5)=-5
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-x÷5+1=2
Lineal 3.2 in
-1+x×8=-1
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
48.9+35.7≈85
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
50.35≈50.4
Rounding 1.3 dp
0.771≈0.77
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
89.1÷9.48≈9.4
Language Exercises
Russian Vocabulary 2.4
д лемма
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
mistake mistook [mistake]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-499+18=-481
Conversant 2.4 in
-130+48+764=682
Conversant 2.5 in
-766312+774055-939583=-931840
Conversant 3.4 in
856+(-119+194)=931
Conversant 3.5 in
-509896-(160000+72654)=-742550
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
(730-880)÷(-6-9)=10
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
353-10×18×4=-367
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
72÷3=24
Logics 2.2 in
-75÷(-15)×10=50
Logics 3.2 in
(1000÷4)÷25=10
Logics 4.2 in
25×4×(-30÷10)=-300
Divisor_ENG 1.5 ip
5488428÷132=41579
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
296.5+158.694-155.194=300
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
119.87-341.97+409.266=187.166
Split 1.3 dn
29.75+40.32=70.07
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
-24+(34.16-6.61)=3.55
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
5.75×0.064=0.368
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
24.48÷1.224=20
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
1.1×5.5÷0.55=11
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
1.6×(6.25×4)=40
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
65.713+3.519×4=79.789
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
1.8×12-5.6=16
Negatory 1.3 dn
-26.24-34.56÷6=-32
Negatory 2.2 dn
8.07-12×6.25-3.69=-70.62
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
Residual_ENG 1.2 dp
92÷4=23
Divisional_ENG 1.3 dp
0.092÷5.75=0.016
Fraction Examples
Numerator 0.3 fp
3/11+8403/869=8640/869
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
45/8+35/8+612/41=1022/41
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
5/33+17/33=2/3
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
3/2+5/2+297/74=593/74
Denominator 3.2 fn
74/9+(-51/11-133/33)=-4/9
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
56/13×117/14=36/1
Fragment 1.3 fp
7/10×25/4=35/8
Fragment 2.2 fp
1/2÷1/23×97/46=97/4
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
17/2-2/3×37/4=7/3
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
2/9×(-1/2-1/4)=-1/6
Complete 1.1 fn
11/6+3/2×10/9=7/2
Complete 1.2 fn
76/7-10/11×555/14=-277/11
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-910920+128402 < -370576+776268
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
915.258-396.744 = 736.449-217.935
Point 2.4 dp
707.652+80.746 = 130.247+658.151
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
9.453 > -26.863
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
7/10 > 1/3
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
-648/751 < 168/5
Descent 2.2 fn
9/1-12/5 < 22/13+194/39
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Lineal 0.3 in
-5-x×30=-815
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
с туация
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
i pression
Lexicon 1.4
motorc cle [moped]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
35584÷16+352÷2=2400
Intellect 3.3 in
4859+(-60-100)×53=-3621
Logics 0.3 in
(1296÷36)÷6=6
Logics 1.3 in
98÷49=2
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
-528÷(16×(-3))=11
Logics 4.3 in
-81×(-3×(-28))÷14=-486
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
1.38×0.3÷1.725=0.24
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
0.6÷18.75=0.032
Denary 3.4 dp
0.5×0.034=0.017
Denary 4.4 dp
0.684÷228÷0.6=0.005
Denary 5.4 dp
1.056÷(1.28×6.6)=0.125
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
800×0.576-74.52÷43.125=459.072
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
899.49+(51+242.76)÷576=900
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
-413.436-907.2×0.245=-635.7
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
(10.6+5.4)÷(0.637+0.003)=25
Negatory 3.4 dn
400.516-(-185.856-102.144)÷51.2=406.141
Residual_ENG 1.3 dp
24÷4=6
Fraction Examples
Denominator 0.3 fn
1455/937-412/11-666/11=-90371/937
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
Denominator 3.3 fn
83/234+(-1/42-1/252)=17/52
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
54145/724-3/4×2701/543=12861/181
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
Complete 0.2 fn
41/44-85/9÷748/63=3/22
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
x2+x-2=0
Quadratic 1.1 in
6x2=54
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
x2-8x+12=0
System 0.1 ip
10y+10x=200
System 1.2 ip
x-y=5
System 2.1 ip
x×2y=160
System 3.1 ip
10y+2x=88
Set 0.1 in
-x+y=20
Set 1.1 in
y+x=-1
Set 2.1 in
-3y×4x=-960
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
s venteen
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
contrib te [promote]
Infinitive 1.3
browbeat browbeaten [browbeat]
Infinitive 3.2
rebind [rebind]
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