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
61973+838027-83493=816507
Beginner 5.5 ip
956690-(928328-12477)=40839
Conversant 1.1 in
-3-3=-6
Conversant 1.5 in
-170136-29800=-199936
Conversant 2.1 in
8-5-2=1
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
2×(4×500)=4000
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
24540×109=2674860
Divisor 1.3 ip
1200÷10=120
Numeracy 0.2 ip
(100-27)×(20-9)=803
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
3894+30÷15=3896
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
2692+2208÷(115+161)=2700
Divisor_ENG 1.3 ip
9360÷45=208
Remainder_ENG 1.3 ip
472÷93=5(7)
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
8.4-3.9=4.5
Partitive 1.2 dp
39.9+45.1=85
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
38-33.9+54=58.1
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
12.6÷0.5=25.2
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
9.6÷2.4=4
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
293913÷51 > 128×26
Natural 3.4 ip
297×95 > 135010÷10
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
7/10 > 2/3
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
18+48÷x=20
Linear 0.3 ip
480+x÷62=495
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
(55-x)×14=70
Linear 4.3 ip
(x+3)×128=384
Lineal 1.1 in
10+x=10
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
93.1≈93
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
9×101≈91
Round 0.2 ip
6598÷2≈33
Round 0.3 ip
1117×107≈120
Round 1.3 ip
173856≈174
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
200960+81480≈282
Round 3.1 ip
228÷3≈8
Round 3.2 ip
2×1220≈24
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
проц дура
Russian Vocabulary 3.3
ув жать
English Vocabulary 2.3
de erted
English Vocabulary 3.2
uni ue
Lexicon 1.3
s ream [course]
Infinitive 2.1
miscast [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-6+0=-6
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
-30+40=10
Conversant 2.2 in
14-20-4=-10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
(19+3)-(3+4)=15
Conversant 4.3 in
-(83-54)+(80-59)=-8
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
500×7÷5=700
Cognizant 5.4 ip
340032÷(28×3)=4048
Cognizant 6.4 ip
320×(25×25)÷4=50000
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-20-96÷6÷8=-22
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
4×2+8×2=24
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
4×6=24
Logics 2.1 in
12÷4×(-2)=-6
Logics 3.1 in
4×(-6×4)=-96
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
54.76-3.58-6.23=44.95
Partitive 3.3 dp
81.49+(73-57.47)=97.02
Split 0.1 dn
3.8+1.1=4.9
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
-6+5.5=-0.5
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
-4.6+9+5.6=10
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
0.9×10=9
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
5.6×0.05=0.28
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
30.4+3.6÷9=30.8
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
18.5+3.8×11÷4.4=28
Residual_ENG 1.1 dp
57÷10=5.7
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
19/7-31/14+19/78=29/39
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
4/5-2/5-3/10=1/10
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
28/3×2/7×3/10=4/5
Reduction 1.1 fp
126/45=14/5
Reduction 1.2 fp
399/19=21/1
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
575+97 > -819+132
Ceil 1.2 in
65 > -16
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
7-40 < -63+70
Ceil 2.3 in
320-0 > -582+530
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
79.15 > 74
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
0.51+0.184 < 59.778+26.413
Point 3.1 dp
48÷8 > 0.5×8
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
-95.2÷(-1.36) > 99.6÷1.66
Doted 1.1 dn
16.5 > -84.3
Doted 1.2 dn
-24.65 < 24.63
Doted 2.1 dn
-11.6-1.9 < 8+5.5
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
-1.8×4 < 36×2.53
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
Improper 0.2 fp
43/11-21/11 < 5/4+7/4
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
Improper 3.1 fp
2/3×1/2 > 7/10×2/7
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
-264/49 < 125/17
Descent 2.1 fn
2/3-4/9 < -1/9+1/1
Equations
Lineal 0.1 in
2×(-1+x)=-8
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
x-11=9
Lineal 1.3 in
-x+943=0
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
20×(78+x)=0
Rounding
Rounding 0.1 dp
8.9+70.8≈80
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
24.995≈25
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
94.006-31.514≈62.49
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
ид альный
Lexicon 2.3
rea on [mind]
Infinitive 1.2
typecast typecast [typecast]
Infinitive 3.1
overran [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
Conversant 1.4 in
662-617=45
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
-509896-(160000+72654)=-742550
Conversant 4.4 in
-(707+363)+(546-286)=-810
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
8480012÷659=12868
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
317-(7+23)×25=-433
Logics 0.2 in
-528÷(-16)×13=429
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
-2×(-33×(-10))=-660
Logics 4.2 in
2×(-5)×(-100÷(-10))=-100
Divisor_ENG 1.5 ip
2489837÷119=20923
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
160.427+(600-260.427)=500
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
140+90=230
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
-253.728-247.706=-501.434
Split 2.3 dn
-9.54-80.12-0.34=-90
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
98.01-(-98.05+96.25)=99.81
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
36÷3=12
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
0.96÷(0.8×0.05)=24
Denary 0.3 dp
2.208÷(2.4×0.32)=2.875
Denary 1.3 dp
2.6×15.12=39.312
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
36.48÷3-5.06=7.1
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
Negatory 0.1 dn
60÷(-0.5-0.3)÷50=-1.5
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-2.6+7×0.8=3
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
-73.46+3.36÷0.96×30=31.54
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
4÷(95.1-95.6)×0.3=-2.4
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
1/4+7991/180=2009/45
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
Numerator 3.3 fp
84037/891-(14552/891-13378/891)=93/1
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-1/5-1/45=-2/9
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
2/3×59/2÷236/5=5/12
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
Reduction 1.3 fp
10782/1422=599/79
Limited 0.1 fp
10/3-26/3÷13/4=2/3
Limited 1.2 fp
51/2÷85/6+443/40=103/8
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
-1/2×17/5+17/2=34/5
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
-(2/3+13/3)×1/10=-1/2
Comparisons
Ceil 0.4 in
771000-619149 > -618427-30535
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
260×(-30) > 44684÷(-4)
Point 0.3 dp
72.384+15.264 > 50.261-37.953
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
4.467+37.136 < 126.849+127.583
Point 3.3 dp
82.488÷6.874 > 7.2×1.365
Point 3.4 dp
399.762÷7.403 < 306.45÷3
Doted 0.3 dn
-55.176÷(-1.254) < 62.15÷1.243
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
785.82 > -834.927
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Lineal 0.3 in
-x×(-30)=-900
Lineal 3.3 in
600÷x-25=-65
Lineal 4.3 in
48×(x-769)=-624
System 1.1 ip
x-y=2
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
pur hase
English Vocabulary 2.4
cr me
Lexicon 1.4
d velopment [growth]
Infinitive 2.2
retake [retake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
586×43-392÷196=25196
Intellect 1.3 in
110÷55-5911=-5909
Intellect 2.3 in
-1925+48×75+2661=4336
Intellect 3.3 in
(8372+1628)÷(-18-7)=-400
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
-336÷(-8)=42
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
7÷56=0.125
Denary 0.4 dp
167.552÷152.32=1.1
Denary 1.4 dp
1.65×0.02=0.033
Denary 2.4 dp
6.24÷0.6=10.4
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
28.56÷10÷6.8=0.42
Denary 5.4 dp
(680÷62.5)×8.925=97.104
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
Definition 3.3 dp
39-0.014÷(100-86)=38.999
Definition 3.4 dp
194.4÷(0.5+0.75)÷0.432=360
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
456.24-65.17×8÷14=419
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Residual_ENG 1.3 dp
24÷4=6
Fraction Examples
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
-31/2÷93/251+293/6=7/1
Complete 2.2 fn
41/10×(1/2+1/6)=41/15
Comparisons
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
2193/181 > -1663/543
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
Quadratic 0.1 in
-x2-6x+16=0
Quadratic 1.1 in
6x2=216
Quadratic 2.1 in
-4x2-8x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
6x×4y=960
System 1.2 ip
x-y=5
System 2.1 ip
4x÷4y=1
System 3.1 ip
10x+4y=140
Set 0.1 in
-102y÷6x=34
Set 1.1 in
x-y=-6
Set 2.1 in
4y×5x=160
Set 3.1 in
-6x-7y=71
Language Exercises
Russian Vocabulary 2.5
ген алогия
English Vocabulary 1.5
anniv rsary
English Vocabulary 2.5
pro essional
English Vocabulary 3.4
sp ritual
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
manufact re [production]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
rebound [rebind]
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