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
854257-584457=269800
Beginner 4.5 ip
912490-226129-86884=599477
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-770000+924199=154199
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
1440÷12×63=7560
Cognizant 5.3 ip
144÷(48÷12)=36
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
867÷75=11(42)
Multiplier 1.4 ip
4600×500=2300000
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
3200+44×140=9360
Numeracy 2.3 ip
5240-10×16×24=1400
Numeracy 3.2 ip
178+(10+14)÷2=190
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
6600÷40=165
Remainder_ENG 1.3 ip
720÷8=90
Decimal Examples
Partitive 0.1 dp
9.7-7.2+4.1=6.6
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
8.4-3.9=4.5
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
3.6÷7.2=0.5
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
7.6÷1.9=4
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
3.2÷2=1.6
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
20×3 < 8×44
Natural 3.4 ip
6×13824 > 711610÷10
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
4 > 3
Ceil 2.1 in
-2-6 > -4-5
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
308/61 < 83/10
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
28+x=77
Linear 0.3 ip
x×90=630
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
(55-x)×14=70
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
x+5=3
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
986-19≈97
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
52760+136268≈189
Round 1.3 ip
402442≈402
Round 2.2 ip
4031-2010≈20
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
516÷2≈26
Round 3.2 ip
1004×8≈80
Round 3.3 ip
235030÷10≈24
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
нварский
English Vocabulary 3.2
ncome
Lexicon 1.3
tr ding [commerce]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4-6=-10
Conversant 0.2 in
-6-(17-3)=-20
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
78-17=61
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
19+(-5+6)=20
Conversant 3.3 in
-34+(90-37)=19
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
352×301=105952
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
417×32×(66÷22)=40032
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
6250÷25=250
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
-30+10×3×3=60
Intellect 3.1 in
(25+5)÷(64-59)=6
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-5×(-12))÷(-10)=-6
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
12.29+80.11=92.4
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
-3.9-(0.8+4.8)=-9.5
Split 0.2 dn
34.4-9.9-77=-52.5
Split 1.1 dn
2.2+6.8=9
Split 1.2 dn
5.9+73.4=79.3
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
47÷5=9.4
Divisional 1.2 dp
21.12÷3=7.04
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
3.5×1.6+27.1=32.7
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
Definition 3.1 dp
(91.2-87.9)÷(0.5+0.6)=3
Negatory 1.1 dn
-50.6-24×0.9=-72.2
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
167/18-67/90=128/15
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
119/87+484/87-201/29=0/1
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
-8/9+1/9=-7/9
Denominator 1.1 fn
-3/10-1/2=-4/5
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
Fragment 1.1 fp
4/3÷8/3=1/2
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
4/6=2/3
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
2×20 > 72÷3
Ceil 0.3 in
58 < 517
Ceil 1.2 in
76 > 24
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
350+507 = 879-22
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
-4×(-33) > -890÷89
Point 0.1 dp
73.6-2.7 > 14.2+56.2
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
44.273 < 99.665
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
92-90.378 = 0.592+1.03
Point 3.1 dp
13×3.4 > 27.2×0.5
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
4/9÷1/2 > 3/5×1/3
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
1/6 < 7/9
Descent 1.2 fn
367/50 > -503/70
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
x-10=-1
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
99-x=1
Lineal 1.3 in
-104+x=854
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
52+94÷x=54
Lineal 4.1 in
-4÷(-2+x)=-4
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
97.77×0.8≈78.2
Rounding 1.2 dp
74.91≈74.9
Rounding 1.3 dp
11.882≈11.88
Rounding 2.2 dp
7.21+28.36≈35.6
Rounding 2.3 dp
13.135+55.407≈68.54
Rounding 3.1 dp
21.7÷37.3≈1
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
cl mbing
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
lay [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
629575-632768=-3193
Conversant 1.4 in
-236+526=290
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
622-(-707+509)=820
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
-(288+616)-(151-335)=-720
Conversant 4.5 in
(759248-820698)-(50470-362477)=250557
Divisor 1.5 ip
19600÷196=100
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
-90×7-21=-651
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
317-(7+23)×25=-433
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
5×(-10)÷2=-25
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
Partitive 0.4 dp
538.239-(111.628+85)=341.611
Partitive 1.4 dp
199.812-189.812=10
Partitive 2.4 dp
156.042+339+414.958=910
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-91.18+66.3-55.12=-80
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-11.75-31.43+97.77=54.59
Split 2.4 dn
-275.078-87.635-530.181=-892.894
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
11.04÷29.44=0.375
Denary 0.2 dp
7.2÷15=0.48
Denary 0.3 dp
70.56÷49=1.44
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
47.88÷(63.84÷3)=2.25
Denary 5.3 dp
0.009×(2.56×3.125)=0.072
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
37.5+18×1.2=59.1
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
Definition 3.2 dp
54.54+47.52÷(96.72-1.68)=55.04
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
95.29-2.24×28=32.57
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
-10.18×4-0.56×88=-90
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
(11.7+7.8)÷(29+36)=0.3
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
1.32÷33=0.04
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
74/7-29/63=91/9
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
1/2+(353/10+26149/620)=9669/124
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
49/6+1049/90=892/45
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
1/5÷1/10=2/1
Fragment 0.2 fp
36/5÷81/35×9/2=14/1
Fragment 1.3 fp
7/10×25/4=35/8
Fragment 2.2 fp
2/3×69/5÷92/5=1/2
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
17/2-2/3×37/4=7/3
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
-(7/3+20/3)÷9/2=-2/1
Comparisons
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-388433+544440 > -91637-66686
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
30.683 < 51.991
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
18 < 40.871
Doted 1.4 dn
-441.303 < 441.295
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
Descent 0.2 fn
-17/31×(-38/17) > -48/11×11/8
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
1/3+38/11 < -92/99+971/99
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
ц ллюлоза
Russian Vocabulary 3.4
мульт пликация
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
alc hol
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
swell [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-398+42×2319=97000
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
-5264×11-91×56=-63000
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
4×5×5=100
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
(-800÷(-25))÷(-4)=-8
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
1.12×12.5=14
Denary 1.4 dp
8.1×27.2=220.32
Denary 2.4 dp
6.24÷0.6=10.4
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
0.8×20÷0.04=400
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
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
151.19+205.92÷0.88=385.19
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
899.49+(51+242.76)÷576=900
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
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
-43.69-91.392÷(32.875-49.875)=-38.314
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
28÷14=2
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
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
3/2×1183/76×323/91=663/8
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
5/8-19/2÷1292/45=5/17
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
413/30+32/5×25/48=171/10
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
Descent 0.3 fn
9/13 < 16142/247
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
1764/143÷(-98/779) < -61/1×3/671
Equations
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
10y-2x=88
System 1.2 ip
y-x=27
System 2.1 ip
2y×8x=576
System 3.1 ip
3y-2x=7
Set 0.1 in
x+y=-2
Set 1.1 in
y+x=-1
Set 2.1 in
2x×24y=768
Set 3.1 in
-10y-10x=0
Language Exercises
Russian Vocabulary 2.5
как ду
English Vocabulary 1.5
con entrate
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
themsel es
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
manufact re [production]
Infinitive 1.3
redo redid [redo]
Infinitive 3.2
rebind [rebind]
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