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
909180+83420=992600
Beginner 4.5 ip
920719-206513-124206=590000
Beginner 5.5 ip
990636-(121295+199341)=670000
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-770000+924199=154199
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
9856÷8÷2=616
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
867÷75=11(42)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
3624-20×120=1224
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
178+(10+14)÷2=190
Numeracy 3.3 ip
297+(747-702)÷15=300
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
94.7-8.3=86.4
Partitive 2.1 dp
2-1.7+8=8.3
Partitive 2.2 dp
76.2-61.2+31=46
Partitive 3.1 dp
3.6+(8.9-8.7)=3.8
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
1.5×4.6=6.9
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
35.2÷8.8=4
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
10-0 > -1-6
Ceil 1.1 in
6 > -3
Ceil 2.1 in
1+0 < -1+3
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
0.6+4.5 < 68.4-63.1
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
16/31 < 256/31
Improper 2.1 fp
1/2-3/10 < 3/5-1/5
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
x+753=903
Linear 3.3 ip
x×30-720=0
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x+3)×128=384
Lineal 1.1 in
-1-x=6
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
4.8+1.9≈7
Round 0.1 ip
15×41≈62
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
894105-359965≈534
Round 1.3 ip
102436≈102
Round 2.2 ip
30+73≈1
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
5×25≈13
Round 3.2 ip
1158÷2≈6
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
сан торий
Russian Vocabulary 3.3
п рила
English Vocabulary 1.3
cr am
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
d rty
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
take [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-5-2+1=-6
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-7+14-37=-30
Conversant 3.1 in
-10+(10+10)=10
Conversant 3.2 in
3+(7-20)=-10
Conversant 3.3 in
-10-(40+30)=-80
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
(12+6)-(19-20)=19
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
676804÷148=4573
Cognizant 3.4 ip
430×220=94600
Cognizant 4.4 ip
144×625÷9=10000
Cognizant 5.4 ip
(20×25000)÷250=2000
Cognizant 6.4 ip
39×5×(4×640)=499200
Multiplier 1.5 ip
5268×7432=39151776
Divisor 1.4 ip
6250÷25=250
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
12÷2=6
Logics 2.1 in
-16÷(-2)÷(-2)=-4
Logics 3.1 in
(-8÷(-2))÷2=2
Logics 4.1 in
-84÷(3×(-4))×(-9)=-63
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
80-19.62+39.62=100
Partitive 1.3 dp
42.9+50=92.9
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
Split 0.1 dn
-9.8+0+2=-7.8
Split 0.2 dn
55.8-34=21.8
Split 1.1 dn
-4.4+5.1=0.7
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
27÷2=13.5
Divisional 1.2 dp
39.78÷2.25=17.68
Denary 0.1 dp
1.6×0.5×40=32
Denary 1.2 dp
82×0.01=0.82
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
6.84÷7.2=0.95
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
3.5×1.6+27.1=32.7
Definition 2.1 dp
3.9÷3+10÷0.5=21.3
Definition 3.1 dp
62.6÷(4.8-2.8)÷62.6=0.5
Negatory 1.1 dn
-50.6-24×0.9=-72.2
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
Residual_ENG 1.1 dp
65÷10=6.5
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
3/8+1/8=1/2
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
1/10+(1/10+2/5)=3/5
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
Denominator 1.1 fn
2/3+1/3=1/1
Denominator 2.1 fn
1/8-4/5-1/5=-7/8
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
38/9÷19/3=2/3
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1216/57=64/3
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
-6 < 55
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
403 > -804
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
24+386 < 138+529
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
-25×4 < 990÷9
Point 0.1 dp
59.7 < 76.5
Point 0.2 dp
40.02 < 48
Point 1.2 dp
93.18 = 93.18
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
533.338 > 450.065
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
87÷5.8 > 0.5×20.8
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-35.62 < -35.59
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
-31.45+87.04 = -4.41+60
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
Improper 1.3 fp
2616/43 > 411/11
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
4/5×5/6 < 1/2÷5/8
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
-3/5 > -4/5
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
-1/2-1/3 < -4/9+7/9
Equations
Lineal 0.1 in
x÷2+4=-1
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
x+98=44
Lineal 1.3 in
x+720=0
Lineal 2.2 in
x×(-8)=-80
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
6÷(-x+9)=3
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
88÷63≈1
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
81.38≈81.4
Rounding 1.3 dp
11.882≈11.88
Rounding 2.2 dp
71.21+27.19≈98.4
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
38÷50.3≈1
Rounding 3.2 dp
98.2÷25.56≈3.8
Language Exercises
Russian Vocabulary 2.4
инц дент
English Vocabulary 3.3
pea eful
Lexicon 2.3
rea on [mind]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
laid [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
583000-(856644-390000)=116356
Conversant 4.4 in
-(92-67)+(152+426)=553
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
238545÷171=1395
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
-457+90÷30-347=-801
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
(4×(-25))÷(-20)=5
Logics 1.2 in
2×30=60
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
-350÷(-70÷14)=70
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
2489837÷119=20923
Decimal Examples
Partitive 0.4 dp
18-18=0
Partitive 1.4 dp
589.082-100=489.082
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
21-21.29-73.7=-73.99
Split 0.4 dn
-68.569-484.139-4.175=-556.883
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
114-131.583-424.417=-442
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
1.1×0.04=0.044
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
56.672÷20.125÷0.64=4.4
Denary 5.2 dp
47.88÷(63.84÷3)=2.25
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
80.59+0.8×6.25=85.59
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
19.344+5.76÷48+25.693=45.157
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
-2.88×0.25-3.2÷12.8=-0.97
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
Negatory 1.3 dn
74+29.568÷1.2=98.64
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
90÷5=18
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
2440/27-15488/729=50392/729
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
Denominator 3.2 fn
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
21/2÷35/2÷3/40=8/1
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
90/132=15/22
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
11/13×195/44+235/46=815/92
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
9/4×8/7-4/7=2/1
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
876219-121902 > -260768-593141
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Lineal 0.3 in
-5-x×30=-815
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
40×(-291-x)=400
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
excl ding
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
hang [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(86+14)×(23+227)=25000
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-4100+608÷38+93984=89900
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
-528÷(16×(-3))=11
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
74÷2=37
Denary 0.4 dp
1.12×12.5=14
Denary 1.4 dp
0.5×1.44=0.72
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
2.4×12.09=29.016
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
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
200+0.625×8+10=215
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
34.47-(12+7.2)×0.4=26.79
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
Negatory 0.3 dn
-25.734+8×8.918=45.61
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
-4.8÷(-0.564-1.936)÷0.064=30
Negatory 3.4 dn
3.85×(970-967)×0.16=1.848
Residual_ENG 1.3 dp
24÷4=6
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
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+3/10)÷13/20=10/13
Complete 0.2 fn
41/44-85/9÷748/63=3/22
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
Complete 2.2 fn
-(3/44-141/11)÷51/56=14/1
Comparisons
Doted 0.4 dn
-315.402 < 998.655
Doted 3.4 dn
-81.34÷(-4.067) > 12.15×(-1.52)
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
Descent 3.3 fn
25/2×(-231/130) > 18/19÷(-9/893)
Equations
Quadratic 0.1 in
7x2=63
Quadratic 1.1 in
x2=100
Quadratic 2.1 in
4x2+24x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y-x=36
System 2.1 ip
10x×y=200
System 3.1 ip
6x+y=70
Set 0.1 in
-x+y=13
Set 1.1 in
x-y=-6
Set 2.1 in
-6y÷9x=1
Set 3.1 in
-7y-3x=91
Language Exercises
English Vocabulary 1.5
a knowledge
English Vocabulary 2.5
surro ndings
English Vocabulary 3.4
or ginal
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
win won [win]
Infinitive 3.2
sow [sow]
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