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
479830-(650000-640891)=470721
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(100×18)÷24=75
Cognizant 6.3 ip
51×17×(10÷2)=4335
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
22227×233=5178891
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
6400-40×55=4200
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
178+(10+14)÷2=190
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
6000÷20=300
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
9.9-(2.1+5.3)=2.5
Partitive 0.2 dp
52.3+57.1-18.4=91
Partitive 1.1 dp
7-0=7
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
7.6-1.8-0.2=5.6
Partitive 2.2 dp
59.3-57.6+96.1=97.8
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
0.3÷0.2=1.5
Denary 1.1 dp
8×2.4=19.2
Denary 2.1 dp
10.6÷0.5=21.2
Denary 3.1 dp
3.6×4=14.4
Divisional_ENG 1.1 dp
9.6÷2.4=4
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
7 > -1
Ceil 2.1 in
-1-7 < -0+10
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
73 > 64.9
Point 2.1 dp
0.6+4.5 < 68.4-63.1
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
48÷x-1=1
Linear 0.3 ip
390-x=0
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
312÷(x-660)=52
Lineal 1.1 in
1-x=1
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
9.3+71.7≈81
Round 0.1 ip
986-19≈97
Round 0.2 ip
4126≈41
Round 0.3 ip
252375+432481≈685
Round 1.3 ip
394545≈395
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
965026-242853≈722
Round 3.1 ip
32×7≈22
Round 3.2 ip
1123×3≈34
Round 3.3 ip
435475×2≈871
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
гум низм
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
uni ue
Lexicon 1.3
min ral [inorganic]
Infinitive 2.1
outride [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-8+10=-1
Conversant 0.2 in
-(0+6)+(9+15)=18
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
-7-(1-8)=0
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
-34+(90-37)=19
Conversant 4.1 in
-(0-7)-(6+6)=-5
Conversant 4.2 in
-(16-18)+(13-13)=2
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
(15360÷24)×265=169600
Cognizant 1.4 ip
234×850=198900
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
43000×1131=48633000
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
22×2-13=31
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
48+(19-14)×7=83
Logics 0.1 in
3×(-7)=-21
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
12÷4×(-2)=-6
Logics 3.1 in
10×(-2×(-3))=60
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
Divisor_ENG 1.4 ip
31739÷17=1867
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
5.59+64.56-25.55=44.6
Partitive 3.3 dp
95.31-(35.34+44.97)=15
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
-45.3-30-10=-85.3
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
6÷10=0.6
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
49.5×0.1=4.95
Denary 2.2 dp
1.44÷7.2=0.2
Denary 3.2 dp
0.9×4.8=4.32
Denary 4.1 dp
1.5÷5×94=28.2
Denary 5.1 dp
(48.7÷97.4)×10.4=5.2
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
67÷5=13.4
Divisional_ENG 1.2 dp
0.38÷0.02=19
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
17/10+81/50=83/25
Numerator 2.1 fp
4/5-1/5-1/5=2/5
Numerator 2.2 fp
17/2-7/6-112/39=58/13
Numerator 3.1 fp
3/5-(9/10-4/5)=1/2
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
2016/272=126/17
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
Ceil 0.2 in
2×20 > 72÷3
Ceil 0.3 in
-833+766 < 5+55
Ceil 1.2 in
76 > 24
Ceil 1.3 in
268 > -563
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
73.6-2.7 > 14.2+56.2
Point 0.2 dp
82.87 < 98.31
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
74.87 < 98.82
Point 1.4 dp
811.262 > 811.242
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
20.3÷2.9 < 94.5÷5
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
85.6-28.2 > -34.1+85.4
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
-50.4 < -39.1
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
Improper 0.1 fp
2/9+4/9 > 7/8-3/8
Improper 0.2 fp
3/82 < 1/1
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
403/9-26911/603 < 5/2+251/4
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
3/4×16/27 < 348/65÷116/13
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/2+1/1 > -1/4-1/4
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
x-9=58
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
10×(-x-84)=-40
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
29.55+63.64≈93.2
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
54.7÷24≈2
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
se ing
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
typecast typecast [typecast]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
680+660-570=770
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-236+526=290
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
-509896-(160000+72654)=-742550
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
430-960÷80+189=607
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
92÷(-2)=-46
Logics 2.2 in
4×(-2)×33=-264
Logics 3.2 in
(1000÷4)÷25=10
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
2489837÷119=20923
Decimal Examples
Partitive 0.4 dp
93.016+363.889-433.397=23.508
Partitive 1.4 dp
437.208+312.792=750
Partitive 2.4 dp
399.054-63.768+347.714=683
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
63.09+23.56=86.65
Split 0.4 dn
-93.364+274.922=181.558
Split 1.3 dn
29.75+40.32=70.07
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
70.32+73.49-80.24=63.57
Split 2.4 dn
-570.204+0+473.009=-97.195
Split 3.3 dn
-24+(34.16-6.61)=3.55
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
7.616÷0.112=68
Denary 0.2 dp
1.32÷44÷0.6=0.05
Denary 0.3 dp
9.6÷1.28=7.5
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
86.4÷60=1.44
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
2.48×1.25×20=62
Denary 4.3 dp
1.216÷4.75×100=25.6
Denary 5.2 dp
(9÷37.5)÷2=0.12
Denary 5.3 dp
0.945÷(0.756÷18)=22.5
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
39.788-4.68÷2.08=37.538
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
21.6÷24-93.04=-92.14
Negatory 1.3 dn
-1.25×2.24-37.2=-40
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
(0.5+0.78)×(-4.33-6.67)=-14.08
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
67481/693-(97/2-883/126)=4303/77
Numerator 1.3 fp
3782/351+9647/351=1033/27
Numerator 2.3 fp
262/3-24578/555-749/185=39/1
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
3/4+3784/71=15349/284
Denominator 2.2 fn
757/77-1/3-20/21=94/11
Denominator 3.2 fn
11/28+(1/42-491/84)=-38/7
Fragment 0.1 fp
1/2×(4/3÷8/9)=3/4
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
609/13×44/87-87/13=17/1
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
Complete 1.1 fn
-48/5+1/4÷5/2=-19/2
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
-582416 > -971631
Ceil 2.4 in
23000+129472 < 60931+800177
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
0.75×29.44 < 18.785×4.8
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
-747.155 = -747.155
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
Improper 0.3 fp
5087/92 > 587/874
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
-1518/29 < -145/8
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
апост л
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
aspe t
English Vocabulary 2.4
cr me
Lexicon 1.4
d pressing [downtrodden]
Infinitive 2.2
stride [stride]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-5067-264÷88=-5070
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
-10×(-726÷11)÷(-60)=-11
Logics 1.3 in
572÷(-4)=-143
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
17.199÷955.5=0.018
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
23.75×2.56×0.5=30.4
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
4.5÷0.5-6=3
Definition 0.4 dp
774.02-200÷62.5=770.82
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
824.723+3.2÷(0.5+0.3)=828.723
Negatory 0.3 dn
-25.734+8×8.918=45.61
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
-758.262-36×0.39-27.698=-800
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
63÷24=2.625
Fraction Examples
Denominator 0.3 fn
-787/43+(37633/602-497/172)=1157/28
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
83/234+(-1/42-1/252)=17/52
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
28/33×5797/72-5285/297=10003/198
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
Doted 0.4 dn
-315.402 < 998.655
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
Descent 2.3 fn
-8879/103+250/3 < -1/3-131/57
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
2x2=0
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
4y+9x=113
System 1.2 ip
x-y=5
System 2.1 ip
3y×4x=432
System 3.1 ip
2y+5x=70
Set 0.1 in
-x×y=-32
Set 1.1 in
-x-y=4
Set 2.1 in
8x×2y=-320
Set 3.1 in
-1x-y=19
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
cal ulation
English Vocabulary 2.5
congrat lation
English Vocabulary 3.4
sp ritual
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
win won [win]
Infinitive 3.2
fight [fight]
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