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
912490-226129-86884=599477
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
8900÷100=89
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7505÷79=95
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
4704÷28+2280÷760=171
Numeracy 1.3 ip
3200+44×140=9360
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
980-(10+15)×32=180
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
9504÷22=432
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
92.8-7.5=85.3
Partitive 2.1 dp
5.1+6.2-7.3=4
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
20.5-(26.9-7.1)=0.7
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
0.6×60=36
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
1.4×2.5=3.5
Divisional_ENG 1.1 dp
23.4÷0.4=58.5
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
119800÷100 < 403155÷9
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
-3 < 2
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
8÷4 < 8÷2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
3/5 < 1/1
Improper 1.2 fp
454/61 < 25/3
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
45×(14+x)=720
Linear 3.3 ip
119+930÷x=150
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
10+x=10
Lineal 2.1 in
-x÷4=-1
Rounding
Rounding 1.1 dp
93.1≈93
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
97+168≈27
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
1117×107≈120
Round 1.3 ip
844542≈845
Round 2.2 ip
343+5120≈55
Round 2.3 ip
220000+66769≈287
Round 3.1 ip
11×91≈100
Round 3.2 ip
3×985≈30
Round 3.3 ip
153290×5≈766
Language Exercises
Russian Vocabulary 1.4
проц дура
Russian Vocabulary 3.3
исч зать
English Vocabulary 1.3
p enty
English Vocabulary 2.3
cen ral
English Vocabulary 3.2
s uare
Lexicon 1.3
fo rteenth [count]
Infinitive 2.1
taken [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(5-10)-(1+4)=-10
Conversant 0.2 in
-(0+6)+(9+15)=18
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-39+89=50
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
50-54+83=79
Conversant 3.1 in
-4+(-3-3)=-10
Conversant 3.2 in
4+(-5-10)=-11
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(9-7)-(7-1)=-8
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
320970÷390=823
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
144×625÷9=10000
Cognizant 5.4 ip
70000÷(26250÷75)=200
Cognizant 6.4 ip
320×(25×25)÷4=50000
Multiplier 1.5 ip
51004×1300=66305200
Divisor 1.4 ip
22400÷32=700
Intellect 0.1 in
90÷2-76=-31
Intellect 1.1 in
-24×2-35=-83
Intellect 2.1 in
34÷17-60÷6=-8
Intellect 3.1 in
(9+3)×(5+2)=84
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
53.34+23.66=77
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
81.49+(73-57.47)=97.02
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
2.5-(-61.3-32)=95.8
Split 1.1 dn
4.9+1.9=6.8
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
9-9+10=10
Split 2.2 dn
-69.5+99.4-60.7=-30.8
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
Residual 1.1 dp
27÷2=13.5
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
0.6×30=18
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
83.1-0.5×20=73.1
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-8.5×5-45.5=-88
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
Residual_ENG 1.1 dp
46÷10=4.6
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
Numerator 1.2 fp
189/29-182/29=7/29
Numerator 2.1 fp
1/5+4/5-3/7=4/7
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
-3/10-1/2=-4/5
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
Fragment 1.1 fp
2/5×5/8=1/4
Fragment 1.2 fp
13/15×61/13=61/15
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
8300/580=415/29
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
65 > -16
Ceil 1.3 in
268 > -563
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
320-0 > -582+530
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
4+68.6 < 84.9-12.1
Point 0.2 dp
1.8×39.2 < 4.14×20
Point 1.2 dp
80 > 36.8
Point 1.3 dp
50.702 < 50.709
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
26.53+26.28 > 1.85+50.07
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
1.6×11.25 < 81÷4.05
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
-60 > -79
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
-1/10 < 3/5
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
-4×(x+76)=56
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
80÷(-x)=-2
Lineal 2.3 in
x×(-31)=-930
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
-60-2×x=100
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
94.006-31.514≈62.49
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
s bject
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
tread [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
-133-4×9×23=-961
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
-170-19×6-136=-420
Intellect 3.2 in
(976-64)÷(104-96)=114
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
92÷(-2)=-46
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
(-60÷5)÷(-4)=3
Logics 4.2 in
315÷(9÷(-3))÷7=-15
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
210-92=118
Partitive 2.4 dp
487.916-95.12-202.796=190
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-47+23+77.37=53.37
Split 0.4 dn
440.198+399.032=839.23
Split 1.3 dn
95-11.43=83.57
Split 1.4 dn
-112.271+452.92=340.649
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
20÷5=4
Divisional 1.3 dp
3.168÷1.152=2.75
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
1.375×0.64×12.5=11
Denary 1.3 dp
6.075×5.12=31.104
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
18.4÷7.36÷1.25=2
Denary 4.3 dp
3.125×12.8×0.88=35.2
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
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
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
Negatory 0.1 dn
60÷(-0.5-0.3)÷50=-1.5
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
8.75×0.64-5.7×8=-40
Negatory 2.3 dn
20+10×0.033+41.27=61.6
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
Residual_ENG 1.2 dp
92÷4=23
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
Numerator 0.3 fp
3/11+8403/869=8640/869
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
Numerator 3.3 fp
32/85+(36/85+88831/940)=89583/940
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
1239/19-327/19=48/1
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
(12/5×1/3)×25/4=5/1
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
Fragment 2.3 fp
1/5×203/3×6/5=406/25
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
286/1027=22/79
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
Limited 1.2 fp
55/12+12/17÷36/85=25/4
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
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
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
-(2/3+13/3)×1/10=-1/2
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
121236-219349 < 906719-76722
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
541.862-341.195 < 360.92+283.368
Point 2.4 dp
925.983-860.483 < 48.669+24.331
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-26.235+81.349 > 37.149-92.266
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
53437/604 > -13406/151
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
600÷x-25=-65
Lineal 4.3 in
40×(-291-x)=400
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
апост л
Russian Vocabulary 3.4
дел гат
English Vocabulary 1.4
public y
English Vocabulary 2.4
ord nary
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
typecast [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-398+42×2319=97000
Intellect 1.3 in
5832÷72+6855=6936
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
20×(-10)=-200
Logics 2.3 in
80÷(-20)÷(-2)=2
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
102.6÷0.8=128.25
Denary 1.4 dp
6.72×1.25=8.4
Denary 2.4 dp
85.68÷3.75=22.848
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
74.8×13×0.055=53.482
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
0.66÷0.825+891.392=892.192
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
Negatory 0.3 dn
63×0.352+54.075=76.251
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
-861.899-1.2×0.02+486.956=-374.967
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
Residual_ENG 1.3 dp
92÷16=5.75
Fraction Examples
Denominator 0.3 fn
2/3-89/3=-29/1
Denominator 2.3 fn
67/4+157/4+6729/295=23249/295
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
Complete 0.2 fn
19/3÷(-5/9-10/63)=-133/15
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
-5253/205+15818/205 > 1259/17-1413/34
Descent 2.3 fn
31/1+2347/77 < 31/1+7456/121
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
-2x2-18x=0
Quadratic 1.1 in
5x2=405
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
x2+11x+24=0
System 0.1 ip
x+y=19
System 1.2 ip
y+x=199
System 2.1 ip
2y×8x=576
System 3.1 ip
7y-4x=23
Set 0.1 in
-x+y=13
Set 1.1 in
-x+y=-6
Set 2.1 in
-3y×4x=-960
Set 3.1 in
-10y-10x=0
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
unre sonable
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
presu ably
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
foresee [foresee]
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