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
689169+235946=925115
Beginner 4.5 ip
162366+277869+128409=568644
Beginner 5.5 ip
722539-(212705+89834)=420000
Conversant 1.1 in
2-4=-2
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
0-4-4=-8
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(5×50)÷2=125
Cognizant 6.3 ip
2×3648÷(128÷2)=114
Remainder 1.3 ip
430÷31=13(27)
Multiplier 1.4 ip
24540×109=2674860
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
4704÷28+2280÷760=171
Numeracy 1.3 ip
7200÷16-250=200
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
288÷18=16
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
38.6-18.2=20.4
Partitive 1.1 dp
5.7-3.5=2.2
Partitive 1.2 dp
12.1+34.9=47
Partitive 2.1 dp
9-7.6-1=0.4
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
Partitive 3.2 dp
65.9-(42.6-2)=25.3
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
3×1.6=4.8
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
484530÷310 < 510705÷13
Ceil 0.1 in
-2×(-3) > 10÷(-10)
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
6÷(-3) = 6÷(-3)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
16/31 < 256/31
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
x×90=630
Linear 3.3 ip
96-x÷2=43
Linear 4.2 ip
(95-x)×16=80
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
-x-6=3
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
529≈53
Round 0.2 ip
6411≈64
Round 0.3 ip
1117×107≈120
Round 1.3 ip
173856≈174
Round 2.2 ip
343+5120≈55
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
339÷3≈11
Round 3.2 ip
3×985≈30
Round 3.3 ip
153290×5≈766
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
дир жёр
English Vocabulary 1.3
e pire
English Vocabulary 2.3
st ff
English Vocabulary 3.2
uni ue
Lexicon 1.3
dis olve [melt]
Infinitive 2.1
mistaught [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7-(-4-2)=-1
Conversant 0.2 in
-5-2+1=-6
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
90-20=70
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
0-(6+4)=-10
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
7-(-30+12)=25
Conversant 4.1 in
(0+6)-(10+0)=-4
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
430000÷200=2150
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
80×(2×25)=4000
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
22÷(-2)×9=-99
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
-9×(-2)×2=36
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
73374÷21=3494
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
81.69-52.51=29.18
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
34.4-9.9-77=-52.5
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
-4.6+9+5.6=10
Split 2.2 dn
-32+15.8+27.2=11
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
Residual 1.1 dp
60÷8=7.5
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
25.6÷6.4=4
Denary 4.1 dp
0.8÷8×74=7.4
Denary 5.1 dp
1.2÷(12÷6)=0.6
Definition 0.1 dp
95-20.4÷5.1+1.4=92.4
Definition 1.1 dp
0.8×100-11.8=68.2
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
Negatory 1.1 dn
-10.2-15.6÷2.4=-16.7
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
11÷5=2.2
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
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
4/5-1/5-1/5=2/5
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
1/2-7/10=-1/5
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
Fragment 1.1 fp
9/2÷21/4=6/7
Fragment 1.2 fp
112/9÷14/45=40/1
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
Reduction 1.1 fp
4/6=2/3
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
Ceil 0.2 in
-91 < -20
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
42 > -21
Ceil 1.3 in
619 > 610
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
982-93 < 391+505
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
828÷(-138) > 16×(-6)
Point 0.1 dp
4+68.6 < 84.9-12.1
Point 0.2 dp
65.77 > 45.17
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
41.862 > 12.645
Point 1.4 dp
570 < 697.732
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
39.844-21.759 < 80.249-59.756
Point 3.1 dp
87÷5.8 > 0.5×20.8
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
-16.83-80.19 < 47.97-3.33
Doted 1.1 dn
-21.5 < 16
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
-94÷(-2.5) > 75÷(-1.5)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
67/383 < 75959/766
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
Improper 3.1 fp
1/5÷1/2 < 2/3÷5/6
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
3/10 > -7/8
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
x-10=-1
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
x-11=9
Lineal 1.3 in
-x-793=-463
Lineal 2.2 in
-x÷(-5)=-5
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
10-2×x=0
Lineal 3.2 in
52+94÷x=54
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
8.9+70.8≈80
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
0.66≈0.7
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
34.25-23.94≈10.3
Rounding 2.3 dp
3.977+18.018≈22
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
se ing
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
-74-280+927=573
Conversant 0.5 in
303217-(0-660000)=963217
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
-233498+(-575715+763305)=-45908
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(131208+223882)-(581881-485376)=258585
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
659-100÷25-277=378
Intellect 3.2 in
-176-(903-957)÷9=-170
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
(6×60)÷(-40)=-9
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
537.923-16.72=521.203
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
-91+16=-75
Split 0.4 dn
119.87-341.97+409.266=187.166
Split 1.3 dn
-44.39-35.61=-80
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
-4.26+(-2.64+40.1)=33.2
Split 3.4 dn
77.155+(215-122.155)=170
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
4.6÷5×25=23
Denary 0.3 dp
12.1÷100=0.121
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
0.009×(2.56×3.125)=0.072
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
7.8×11.4-38.92=50
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
93.2-28.8÷22.5÷0.4=90
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
54.54+47.52÷(96.72-1.68)=55.04
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
-2.6+7×0.8=3
Negatory 1.3 dn
-23.46÷93.84-89.75=-90
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
0.5×(-0.5-0.3)×50=-20
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
12÷15=0.8
Divisional_ENG 1.3 dp
0.092÷5.75=0.016
Fraction Examples
Numerator 0.3 fp
3/11+8403/869=8640/869
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
508/57+4133/114+35941/669=44105/446
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
39/5-243/35=6/7
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-2/3-47/6+55/6=2/3
Denominator 3.2 fn
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
1/2÷1/23×97/46=97/4
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
286/1027=22/79
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
-48/5+1/4÷5/2=-19/2
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
Ceil 0.4 in
771000-619149 > -618427-30535
Ceil 1.4 in
596574 > -601125
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
Point 0.3 dp
79.322÷17 > 93.24÷31.08
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
849.473-523.69 < 465.375+99.75
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
3.2×24.5 > 19.2×0.8
Doted 0.3 dn
-30+57 > -45.425-10.68
Doted 1.3 dn
9.453 > -26.863
Doted 1.4 dn
-339 < -338.998
Doted 2.3 dn
38.144-67.745 = -11.327-18.274
Doted 2.4 dn
48.789+522.414 > -118.102-318.831
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
1/2×180/607 < 633/25÷211/695
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
67/72 > -3/5
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
27/44÷(-81/100) < 1/2÷21/20
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
1000+43×x=1000
Lineal 4.3 in
-768÷(x+873)=-256
System 1.1 ip
x-y=2
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
rema ning
Lexicon 1.4
m llionth [count]
Infinitive 2.2
sow [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
1657×11+3560=21787
Intellect 2.3 in
35584÷16+352÷2=2400
Intellect 3.3 in
-136-350÷(4905-4903)=-311
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
100×25=2500
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
-32×(-25×(-5))=-4000
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
102.6÷0.8=128.25
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
6.144÷8=0.768
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
Definition 0.3 dp
4.5÷0.5-6=3
Definition 0.4 dp
239.904÷940.8+195.996=196.251
Definition 1.4 dp
0.66÷0.825+891.392=892.192
Definition 2.4 dp
800×0.576-74.52÷43.125=459.072
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
74+29.568÷1.2=98.64
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
-52+252.72÷13÷0.045=380
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
18÷24=0.75
Fraction Examples
Denominator 0.3 fn
-1/10-37/50-35998/675=-7313/135
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
-8/11+(-3885/88+277/4)=195/8
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
1/20÷(7/2×1/7)=1/10
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
1/6÷(1/4+1/4)=1/3
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
8y-3x=50
System 1.2 ip
x-y=14
System 2.1 ip
18x÷3y=27
System 3.1 ip
4x+6y=100
Set 0.1 in
-x×y=-32
Set 1.1 in
y+x=-1
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
ген алогия
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
equ valent
Lexicon 1.5
commun cation [giving]
Lexicon 2.4
hi tory [past]
Infinitive 1.3
test-fly testflown [test-fly]
Infinitive 3.2
bend [bend]
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