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
247460+235469+495207=978136
Beginner 4.5 ip
920719-206513-124206=590000
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
-718439+495963=-222476
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
3659×16+456=59000
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
(57+103)÷(770-754)=10
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
2847÷39=73
Remainder_ENG 1.3 ip
96÷3=32
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
63.9-37.9=26
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
6.4-(6.6-2)=1.8
Partitive 3.2 dp
67-(60-44)=51
Divisional 1.1 dp
85.8÷1.3=66
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
84÷1.2=70
Divisional_ENG 1.1 dp
15.4÷7=2.2
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
212400÷59 < 697527÷51
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
10+0 > 9-2
Ceil 3.1 in
2×(-5) < 4×(-2)
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
81.4-79.4 < 3.9+83.3
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
36/41 > 45/82
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
23+x=697
Linear 3.3 ip
x×30-720=0
Linear 4.2 ip
76÷(18+x)=2
Linear 4.3 ip
253×(x-643)=0
Lineal 1.1 in
-x-6=3
Lineal 2.1 in
x÷3=3
Rounding
Rounding 1.1 dp
40.6≈41
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
9×101≈91
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
822773≈823
Round 2.2 ip
4031-2010≈20
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
5×25≈13
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
71678×13≈932
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
loo ely
English Vocabulary 3.2
n nth
Lexicon 1.3
loca ion [place]
Infinitive 2.1
see [see]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
2-9=-7
Conversant 0.2 in
-6-(17-3)=-20
Conversant 0.3 in
-30+(-93+73)=-50
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
19+(-5+6)=20
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
(10+2)+(6-8)=10
Conversant 4.2 in
(20+6)+(12-19)=19
Conversant 4.3 in
-(68-40)+(40+60)=72
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
24000÷(48÷3)=1500
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
51004×1300=66305200
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
50+(-28-30)×2=-66
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
2×(-9)=-18
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
10×(-2×(-3))=60
Logics 4.1 in
-5×(6÷3)×9=-90
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
77-55.38+39.66=61.28
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
4.7+(-1-1.1)=2.6
Split 0.2 dn
2.5-(-61.3-32)=95.8
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
18.8-93.8=-75
Split 2.1 dn
0.6-4.8+5.1=0.9
Split 2.2 dn
-95.2+87.5-35.5=-43.2
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
-49.1-(65-37.1)=-77
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
6.72÷0.56=12
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
3.8×11-25.4=16.4
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
Definition 3.1 dp
26.2-(15+55.4)÷11=19.8
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
19.2÷38.4=0.5
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
Numerator 1.2 fp
33/4-3/4=15/2
Numerator 2.1 fp
1/3-1/9+4/9=2/3
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-1/2-1/2=-1/1
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
Fragment 1.1 fp
3/5÷21/5=1/7
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
9423/189=349/7
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
82 > -20
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
65 > -16
Ceil 1.3 in
-969 < -818
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
910-282 > -391-339
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
-16×4 < 858÷(-78)
Point 0.1 dp
14 > 13.8
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
80.2 > 13.27
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
2.8×22 > 5×6.24
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
97.11 = 97.11
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
Improper 0.1 fp
1/5÷1/2 > 1/3×3/5
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
238/43-226/43 < 1/2+7/86
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
1/5÷1/3 = 9/10×2/3
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
Descent 1.1 fn
-6/7 < 2/5
Descent 1.2 fn
-17/2 > -9/1
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
-x÷5=4
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
10÷x+8=9
Lineal 3.2 in
x×2+46=-48
Lineal 4.1 in
6÷(-x+9)=3
Lineal 4.2 in
20×(78+x)=0
Rounding
Rounding 0.1 dp
67.3≈67
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
21.7÷37.3≈1
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
эт кет
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-287+656=369
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
-130+48+764=682
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
287-(582+82)=-377
Conversant 3.5 in
1000000-(-810000+930000)=880000
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
(759248-820698)-(50470-362477)=250557
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
361+10×21=571
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
916÷2-280÷35=450
Intellect 3.2 in
326-(-37-39)÷4=345
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
22×22=484
Logics 2.2 in
50÷10×40=200
Logics 3.2 in
2×(30×(-8))=-480
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
357.895-277.895=80
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
-230+(-50-620)=-900
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
161.045-911.045=-750
Split 2.3 dn
70.32+73.49-80.24=63.57
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
-61+(-301.573-215.315)=-577.888
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
17.28÷28.8=0.6
Denary 0.3 dp
0.8×3.78=3.024
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
46.24÷5.78=8
Denary 3.3 dp
4×0.017=0.068
Denary 4.2 dp
18.4÷7.36÷1.25=2
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
11.016÷27.54-0.293=0.107
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
Definition 3.2 dp
54.54+47.52÷(96.72-1.68)=55.04
Negatory 0.1 dn
83.8+27.2÷4=90.6
Negatory 0.2 dn
-21.28+41.6÷1.25=12
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
21.4-(15+1)÷2.5=15
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
Numerator 1.3 fp
127/9+89/9=24/1
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-2551/498+134/3=19693/498
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
74/9+(-51/11-133/33)=-4/9
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
11/3÷1/6=22/1
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
3552/5400=148/225
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
1/3×1251/26+231/26=324/13
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
3/4×50/9+5/2=20/3
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
Complete 2.1 fn
-(7/3+20/3)÷9/2=-2/1
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
-815196 < 17890
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
68.5-49.467 > 52.507-44.769
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
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
16×8.4 > 94.73÷2.5
Doted 0.3 dn
-28.96 < 60.864
Doted 1.3 dn
18 < 40.871
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
ц ллюлоза
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
public y
English Vocabulary 2.4
excl ding
Lexicon 1.4
ever body [all]
Infinitive 2.2
wake [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
586×43-392÷196=25196
Intellect 1.3 in
1972×30-9155=50005
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
500÷(4×5)×100=2500
Logics 1.3 in
-83×80=-6640
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
3672÷(-2)÷(-17×(-4))=-27
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
40×0.001=0.04
Denary 2.4 dp
529.2÷282.24=1.875
Denary 3.4 dp
0.5×0.034=0.017
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
77.76÷0.6-111.589=18.011
Definition 1.4 dp
262.198-1.25×80=162.198
Definition 2.4 dp
92.16÷4-2×0.216=22.608
Definition 3.3 dp
42.754+(53.933-51.133)×1.8=47.794
Definition 3.4 dp
8.224-(299.981-299.801)×7.6=6.856
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
499.778-523.71÷0.828=-132.722
Negatory 2.4 dn
841.234-122.4÷9.375-988.178=-160
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
7×(5.681+19.919)×0.625=112
Residual_ENG 1.3 dp
58÷100=0.58
Fraction Examples
Denominator 0.3 fn
-24749/508+27/254=-24695/508
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
75/2÷1/2=75/1
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
25/116-18/29÷696/35=155/841
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
-6450/617+274/9×216/137=23166/617
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
-263.871-336.129 < 196.831+403.169
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
Quadratic 0.1 in
x2-5x=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
6x×4y=960
System 1.2 ip
x+y=160
System 2.1 ip
10x×y=200
System 3.1 ip
7y-4x=23
Set 0.1 in
x+y=-2
Set 1.1 in
y+x=6
Set 2.1 in
4y×5x=160
Set 3.1 in
-10y+10x=0
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
con entrate
English Vocabulary 2.5
b sinessman
English Vocabulary 3.4
appre iate
Lexicon 1.5
commer ial [trading]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
premade [premake]
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