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
40000+955560=995560
Beginner 4.5 ip
354281+581405-260651=675035
Beginner 5.5 ip
821768-(742824-556000)=634944
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(8×750)÷3=2000
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
4600×500=2300000
Divisor 1.3 ip
7964÷44=181
Numeracy 0.2 ip
137×2+60÷2=304
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
5008-576×69÷23=3280
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
9360÷45=208
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
6.2-1-1.4=3.8
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
7-0=7
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
2.5+6+0.1=8.6
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
Partitive 3.2 dp
15.9+(5.7+32)=53.6
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
18.4÷2=9.2
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
10-0 > -1-6
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
583/84 > 214/57
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
960-x×46=40
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
(x-67)×39=897
Lineal 1.1 in
-x-6=3
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
434≈43
Round 0.2 ip
4126≈41
Round 0.3 ip
255711≈256
Round 1.3 ip
244144≈244
Round 2.2 ip
9959-168≈98
Round 2.3 ip
200960+81480≈282
Round 3.1 ip
410÷5≈8
Round 3.2 ip
2×1220≈24
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
иде логия
Russian Vocabulary 3.3
гум низм
English Vocabulary 1.3
pr per
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
ncome
Lexicon 1.3
c pital [metropolis]
Infinitive 2.1
overseen [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7-(-4-2)=-1
Conversant 0.2 in
6-3=3
Conversant 0.3 in
(13+80)+(70-100)=63
Conversant 1.2 in
-20+3=-17
Conversant 1.3 in
78-17=61
Conversant 2.2 in
14-20-4=-10
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
4-(6+1)=-3
Conversant 3.2 in
4+(-5-10)=-11
Conversant 3.3 in
-7-(38+22)=-67
Conversant 4.1 in
(10+2)+(6-8)=10
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
1000×768=768000
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
17440÷10=1744
Cognizant 4.4 ip
693462÷231×162=486324
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
11473÷11=1043
Intellect 0.1 in
-70+2×17=-36
Intellect 1.1 in
-24×2-35=-83
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
70÷5=14
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
77-55.38+39.66=61.28
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2+7.7=5.7
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
51+45=96
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
3.7-(-3-2.4)=9.1
Split 3.2 dn
49-(37.8-73.8)=85
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
8.8÷(72÷9)=1.1
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
48.6+96÷2.5=87
Definition 2.1 dp
3.9÷3+10÷0.5=21.3
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
-30.6+19.2÷9.6+83.9=55.3
Residual_ENG 1.1 dp
65÷10=6.5
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
19/2-7/10-4/5=8/1
Numerator 1.2 fp
57/8-85/32=143/32
Numerator 2.1 fp
1/3+2/3-3/5=2/5
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
Numerator 3.2 fp
183/65+(241/52-7/4)=57/10
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
-3/10-1/2=-4/5
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
Fragment 1.1 fp
42/5÷21/5=2/1
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
23/5÷46/5÷7/10=5/7
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
730 > 554
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
57.19÷19 > 1.25×2.4
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
190.863 < 436.083
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
48÷8 > 0.5×8
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
69/11 < 46/5
Improper 1.3 fp
8788/105 > 5221/147
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/2+1/1 > -1/4-1/4
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
-x-58=20
Lineal 1.2 in
x+98=44
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
x÷15=1
Lineal 2.3 in
-760÷x=76
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
6÷(-x+9)=3
Lineal 4.2 in
4×(-55-x)=-56
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
9.9×8.9≈88
Rounding 3.2 dp
98.2÷25.56≈3.8
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
un form
Lexicon 2.3
fa rly [quite]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
saw [saw]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
680+660-570=770
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
-511-(510-659)=-362
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
99-247÷19=86
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
430-960÷80+189=607
Intellect 3.2 in
(976-64)÷(104-96)=114
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
-10×20=-200
Logics 2.2 in
4×(-2)×33=-264
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
Partitive 0.4 dp
524.517-(21.608+486.975)=15.934
Partitive 1.4 dp
210-92=118
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
-91+16=-75
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
-44.39-35.61=-80
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
4.6÷5×25=23
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
3.75×0.032=0.12
Denary 2.3 dp
50.388÷4=12.597
Denary 3.3 dp
4×0.017=0.068
Denary 4.2 dp
4÷0.4×1.6=16
Denary 4.3 dp
1.216÷4.75×100=25.6
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
58.94-0.98÷0.7=57.54
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
62.83-0.9÷3×34=52.63
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
(0.83+1.17)×(41.3-34.81)=12.98
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
-21.28+41.6÷1.25=12
Negatory 1.2 dn
-5.44-10.25×0.64=-12
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
39927/409-20260/409-19258/409=1/1
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
-15/4+27/8+5/8=1/4
Denominator 1.2 fn
-4/11-51/11=-5/1
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
757/77-1/3-20/21=94/11
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
1/2×(4/3÷8/9)=3/4
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
141/8÷(27/2×1/36)=47/1
Reduction 1.3 fp
90/132=15/22
Limited 0.1 fp
10/3-26/3÷13/4=2/3
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
1/2×(39/4-7/4)=4/1
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
9/10×26/27-83/90=-1/18
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-815196 < 17890
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
-47.644 < -35.648
Doted 1.4 dn
-890.483 < 890.478
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
1.4×(-61.2) < -57.116×1.5
Improper 0.3 fp
544/891+55534/891 > 725/18-2777/126
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
-527/581 < 55091/747
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
-1/4÷(-24/35) = 1/4×35/24
Equations
Lineal 0.3 in
-x÷(-3)=89
Lineal 3.3 in
-980+213×x=-980
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
x+y=14
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
est blish
English Vocabulary 2.4
rema ning
Lexicon 1.4
entert iner [compere]
Infinitive 2.2
wake [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-1687-30×91=-4417
Intellect 1.3 in
-1907+3456÷12=-1619
Intellect 2.3 in
7189-432÷24×3996=-64739
Intellect 3.3 in
6298+22÷(3400-3389)=6300
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
20×(-10)=-200
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(1600÷100)×87=1392
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
(9.6×0.005)÷12=0.004
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
0.864÷2.4×890=320.4
Denary 5.4 dp
(4×0.011)÷2=0.022
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
262.198-1.25×80=162.198
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
Definition 3.3 dp
32.05-0.045÷(0.5+0.4)=32
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
(11.044+1.756)×(-51.194-11.306)=-800
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
67/4+157/4+6729/295=23249/295
Denominator 3.3 fn
83/234+(-1/42-1/252)=17/52
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
(1/2+2/3)×116/3=406/9
Limited 1.3 fp
3/11÷1/638-5695/72=6833/72
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
-315.402 < 998.655
Doted 3.4 dn
-17.64×16 < 12.5×(-20)
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
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
x2+x-2=0
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
x2+9x+14=0
System 0.1 ip
x+y=19
System 1.2 ip
y-x=36
System 2.1 ip
18x÷3y=27
System 3.1 ip
7x+10y=107
Set 0.1 in
2x+6y=12
Set 1.1 in
y-x=9
Set 2.1 in
-2y×2x=-400
Set 3.1 in
8y-8x=160
Language Exercises
English Vocabulary 1.5
anniv rsary
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
ill gal
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
draw drew [draw]
Infinitive 3.2
sat [sit]
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