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
162366+277869+128409=568644
Beginner 5.5 ip
722539-(212705+89834)=420000
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
8900÷100=89
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
50000×140=7000000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
5694÷26-46=173
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
6800+240×50÷75=6960
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
9.9-(2.1+5.3)=2.5
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
86.5-39.9=46.6
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
8.9-(2.8+5.1)=1
Partitive 3.2 dp
22.1+(76.9-19.9)=79.1
Divisional 1.1 dp
15.4÷7=2.2
Denary 1.1 dp
5.6×3=16.8
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
35.2÷8.8=4
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
527041+91192 > 987931-586331
Natural 3.4 ip
484530÷310 < 510705÷13
Ceil 0.1 in
7 > -2
Ceil 1.1 in
5 < 10
Ceil 2.1 in
2-4 < 7+3
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
0.4+20.2 = 14.8+5.8
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
132×(x-606)=660
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
50×(8+x)=900
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
-2×x=10
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
529≈53
Round 0.2 ip
1555≈16
Round 0.3 ip
252375+432481≈685
Round 1.3 ip
240839≈241
Round 2.2 ip
1780+667≈24
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
29×29≈84
Round 3.2 ip
2×1220≈24
Round 3.3 ip
870504÷152≈6
Language Exercises
Russian Vocabulary 1.4
игн рировать
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
pr per
English Vocabulary 2.3
creat re
English Vocabulary 3.2
uni ue
Lexicon 1.3
brin [bear]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
-5-2+1=-6
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-19+2=-17
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
32-100-21=-89
Conversant 3.1 in
10+(-9+1)=2
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
-66-(0-18)=-48
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
(21-93)+(18+76)=22
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
338×104=35152
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
37200÷10=3720
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
22-(-28-52)÷10=30
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
-38÷2=-19
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Divisor_ENG 1.4 ip
40000÷25=1600
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
40.12-20.94=19.18
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
81.88-(16+24)=41.88
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
-2-2.9=-4.9
Split 1.2 dn
33.7-5.7=28
Split 2.1 dn
4.7+6.9-9.7=1.9
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
-15.2+(-61-17.1)=-93.3
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
3.9×10=39
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
1.7×4÷0.8=8.5
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
2.1+51.3÷19=4.8
Negatory 2.1 dn
-30.6+19.2÷9.6+83.9=55.3
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
3/8+1/8=1/2
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
Numerator 1.2 fp
17/10+81/50=83/25
Numerator 2.1 fp
1/3-1/9+4/9=2/3
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
5/9+1/9=2/3
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
3/2×569/30=569/20
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
2016/272=126/17
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
-441+457 = -634+650
Ceil 1.2 in
76 > 24
Ceil 1.3 in
268 > -563
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
910-282 > -391-339
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
23 > 21.12
Point 1.3 dp
65.799 < 77.263
Point 1.4 dp
879.642 < 950.264
Point 2.2 dp
99.53-2.7 < 99.04-2.19
Point 2.3 dp
0.51+0.184 < 59.778+26.413
Point 3.1 dp
34.5×2 > 97.2÷8.1
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
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
-7.61 = -7.61
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-1.8×4 < 36×2.53
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
Improper 2.3 fp
23/627+4/627 < 577/68+2929/340
Improper 3.1 fp
4/9÷1/2 > 3/5×1/3
Improper 3.2 fp
15/2÷45/38 = 3/4÷9/76
Descent 1.1 fn
4/5 > -1/3
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/2-1/3 < -4/9+7/9
Equations
Lineal 0.1 in
(x-4)×3=0
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
-58÷(-x)=2
Lineal 2.3 in
-50×(-x)=1000
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
20×(78+x)=0
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
к нцерт
English Vocabulary 3.3
un form
Lexicon 2.3
unf irly [unjustly]
Infinitive 1.2
stick stuck [stick]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(74+223)+(670+7)=380
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
278000-101822+61000=237178
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
-(707+363)+(546-286)=-810
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
-706+918÷(28+26)=-689
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
-17×25=-425
Logics 1.2 in
72÷3=24
Logics 2.2 in
500÷10÷(-5)=-10
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
315÷(9÷(-3))÷7=-15
Divisor_ENG 1.5 ip
9852759÷567=17377
Decimal Examples
Partitive 0.4 dp
538.239-(111.628+85)=341.611
Partitive 1.4 dp
247.113+52.56=299.673
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
465.971-(38.118+306.665)=121.188
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-9.54-80.12-0.34=-90
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
11.04÷29.44=0.375
Denary 0.2 dp
(0.6×0.6)÷4=0.09
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
46.24÷5.78=8
Denary 3.3 dp
3.36÷70=0.048
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
2.34÷4.5×18=9.36
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
(0.8÷0.016)÷5=10
Definition 0.2 dp
11.4+1.6÷40+43.01=54.45
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
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
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
Negatory 1.3 dn
-26.24-34.56÷6=-32
Negatory 2.2 dn
67.32+1.44×10÷2.5=73.08
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
82.8-(93-28)÷32.5=80.8
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
Denominator 0.2 fn
8/7+79/84=25/12
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
3/4+3784/71=15349/284
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
36/5÷81/35×9/2=14/1
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
Fragment 2.3 fp
3/11÷3/88÷248/27=27/31
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
220/7×(25/36×63/50)=55/2
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
Limited 1.2 fp
95/3÷19/28-29/3=37/1
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
5/2÷15/8+8/9=20/9
Complete 1.1 fn
9/4×8/7-4/7=2/1
Complete 1.2 fn
148/5÷1924/55+210/13=17/1
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
Ceil 0.4 in
771000-619149 > -618427-30535
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
2.932+11.334 < 95.547-81.263
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
95 > -78
Doted 1.4 dn
-12.675 > -563.71
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
67/72 > -3/5
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
Descent 3.2 fn
-6/1÷(-42/5) > 1/2×(-1/2)
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
1000+43×x=1000
Lineal 4.3 in
48×(x-769)=-624
System 1.1 ip
x-y=3
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
ккорд
English Vocabulary 1.4
rema ning
English Vocabulary 2.4
excl ding
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
underwrite [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-6400÷25+45256=45000
Intellect 2.3 in
29600+1200×54÷27=32000
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
572÷(-4)=-143
Logics 2.3 in
-4×(-23)×(-65)=-5980
Logics 3.3 in
-3861÷(-99÷3)=117
Logics 4.3 in
-100×(4×(-10))÷(-40)=-100
Decimal Examples
Residual 1.3 dp
74÷2=37
Denary 0.4 dp
718.08÷5.984=120
Denary 1.4 dp
50.625×0.384=19.44
Denary 2.4 dp
1.52÷0.76=2
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
0.864÷2.4×890=320.4
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
77.76÷0.6-111.589=18.011
Definition 1.4 dp
342.72÷21.76-3.758=11.992
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
Negatory 1.4 dn
499.778-523.71÷0.828=-132.722
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Residual_ENG 1.3 dp
96÷40=2.4
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
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
540.624+412.17 > 324.749+572.751
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
39/1×(-24/13) < 79/1×80/79
Descent 2.3 fn
-619/142-7601/284 < 848/13-108/13
Descent 3.3 fn
25/2×(-231/130) > 18/19÷(-9/893)
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
5x2=405
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
6x×4y=960
System 1.2 ip
y-x=27
System 2.1 ip
3y×4x=432
System 3.1 ip
4x+9y=118
Set 0.1 in
-y-x=-5
Set 1.1 in
x-y=-6
Set 2.1 in
-2y×2x=-400
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
впр тык
English Vocabulary 1.5
f recast
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
or ginal
Lexicon 1.5
desp rately [badly]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
awake [awake]
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