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
1961+910910=912871
Beginner 4.5 ip
170000+63167+23111=256278
Beginner 5.5 ip
821768-(742824-556000)=634944
Conversant 1.1 in
2-4=-2
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-6-4+0=-10
Cognizant 0.3 ip
1242÷27×48=2208
Cognizant 4.3 ip
5152÷56×94=8648
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
600÷90=6(60)
Multiplier 1.4 ip
5000×440=2200000
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
695+2000÷16÷25=700
Numeracy 3.2 ip
(46+299)÷(21+2)=15
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
6600÷40=165
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
0.5+2+4=6.5
Partitive 0.2 dp
67.7-6.1-41.9=19.7
Partitive 1.1 dp
8.4-0.4=8
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
58.2-1.7+34=90.5
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
15.9+(5.7+32)=53.6
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
13.8÷0.4=34.5
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
2691×86 > 2×1274
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
27/4 > 2/3
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
28+x=77
Linear 0.3 ip
942-38×x=258
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
11.9≈12
Rounding 2.1 dp
87.6-4.9≈83
Round 0.1 ip
434≈43
Round 0.2 ip
304+2279≈26
Round 0.3 ip
535855≈536
Round 1.3 ip
425693≈426
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
29×29≈84
Round 3.2 ip
8990÷58≈2
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
cr am
English Vocabulary 3.2
uni ue
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
outride [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
7+10-17=0
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
-19+2=-17
Conversant 1.3 in
-93-5=-98
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
37-87+70=20
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
28+(-1-38)=-11
Conversant 4.1 in
(6-10)+(8+0)=4
Conversant 4.2 in
-(13+10)+(17-1)=-7
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
1000×768=768000
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
551×200=110200
Cognizant 4.4 ip
71×21×615=916965
Cognizant 5.4 ip
340032÷(28×3)=4048
Cognizant 6.4 ip
240×(6÷3)×950=456000
Multiplier 1.5 ip
37500×2240=84000000
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
63-30÷(6+4)=60
Logics 0.1 in
-36÷(-12÷(-6))=-18
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
-5×(-5×(-2))=-50
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
36126÷27=1338
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
40.12-20.94=19.18
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
39.28+(75.74-17.87)=97.15
Split 0.1 dn
-2.2-2.2-1.3=-5.7
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
-8.9-1.1=-10
Split 1.2 dn
15.4-65=-49.6
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
2.4-0.1-80.3=-78
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
18+(-31.6+50.5)=36.9
Residual 1.1 dp
15÷5=3
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
Denary 1.2 dp
0.64×20=12.8
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
71+(25.7-24.5)÷0.8=72.5
Definition 1.1 dp
1÷0.5+59.3=61.3
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
Definition 3.1 dp
62.6÷(4.8-2.8)÷62.6=0.5
Negatory 1.1 dn
6×1.8+1.4=12.2
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
46÷10=4.6
Divisional_ENG 1.2 dp
0.38÷0.02=19
Fraction Examples
Numerator 0.1 fp
5/8+1/4=7/8
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
2/3+307/75=119/25
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
9/10-(7/10+1/10)=1/10
Numerator 3.2 fp
266/29-(47/29-13/29)=8/1
Denominator 0.1 fn
-1/4-1/8+1/8=-1/4
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
Reduction 1.1 fp
22/14=11/7
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
15/2+2/3×9/8=33/4
Comparisons
Ceil 0.2 in
-30+60 > -30+40
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-80 < -74
Ceil 1.3 in
780 > 440
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
-726+210 < 848-597
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
13+55.3 > 45-1.4
Point 0.2 dp
40.02 < 48
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
41.862 > 12.645
Point 1.4 dp
789.892 > 131.845
Point 2.2 dp
46-9 < 60-22.33
Point 2.3 dp
86.162-52.642 = 97.534-64.014
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
Point 3.2 dp
85÷17 < 90.09÷6.93
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
28.1 < 33.6
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
Improper 0.1 fp
1/5 < 7/10
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
544/575 < 1337/19
Improper 2.2 fp
10/7+33/70 < 16/19+433/95
Improper 2.3 fp
257/3-4543/303 > 22909/808-20613/808
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/2+1/1 > -1/4-1/4
Equations
Lineal 0.1 in
-x×2-10=6
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
-104+x=854
Lineal 2.2 in
-2×x=-84
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
-10+x×2=10
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
(-1+x)×3=-6
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
50.35≈50.4
Rounding 1.3 dp
24.995≈25
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
54.1×1.2≈65
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
Russian Vocabulary 2.4
инц дент
English Vocabulary 3.3
m rry
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
sawed [saw]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(74+223)+(670+7)=380
Conversant 0.5 in
629575-632768=-3193
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
-170+1000+130=960
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
-172-(-877+488)=217
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
-528÷(-16)×13=429
Logics 1.2 in
-36÷(-4)=9
Logics 2.2 in
-20÷10×(-19)=38
Logics 3.2 in
-350÷(-70÷14)=70
Logics 4.2 in
20×(-26÷13)×(-8)=320
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
357.895-277.895=80
Partitive 2.4 dp
509.214-310.291+180.124=379.047
Partitive 3.4 dp
236.131+(503.656-404.787)=335
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
440.198+399.032=839.23
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
-94.58-(-12-47.58)=-35
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
28.05÷5.1=5.5
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
0.644÷64.4=0.01
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
31.36×0.1÷2.56=1.225
Denary 5.2 dp
4.32÷(0.72×60)=0.1
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
2×0.04+9.95=10.03
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
60.27+4.32÷8.64×11.14=65.84
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
-2÷0.8+1.5×4=3.5
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
Negatory 1.2 dn
15.84×2+30=61.68
Negatory 1.3 dn
-26.24-34.56÷6=-32
Negatory 2.2 dn
8.75×0.64-5.7×8=-40
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
63.36÷9.216=6.875
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
127/9+89/9=24/1
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
14/5-143/60=5/12
Denominator 1.3 fn
1/2+159/2=80/1
Denominator 2.2 fn
-1/7+441/80-62/7=-279/80
Denominator 3.2 fn
-2/3+(8/15-38/15)=-8/3
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
2/3×1/2×11/4=11/12
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
Reduction 1.3 fp
57920/880=724/11
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
2/3÷8/39+463/84=184/21
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
Complete 1.1 fn
-1/2×17/5+17/2=34/5
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
403632 > 402954
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
260×(-30) > 44684÷(-4)
Point 0.3 dp
55.728+14.272 > 12.571+14.799
Point 0.4 dp
3.096×20 > 896.382÷18
Point 2.4 dp
275.032+76.911 > 864.109-512.178
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
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
-42.984 < -18.471
Doted 1.4 dn
707 > 650
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
8/1 < 95/1
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
-648/751 < 168/5
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
б рельеф
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
midni ht
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-1687-30×91=-4417
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
-10×(-726÷11)÷(-60)=-11
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
1.38×0.3÷1.725=0.24
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
11.4÷30.4=0.375
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
237.6×2÷600=0.792
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
899.49+(51+242.76)÷576=900
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
101.99+28.125×19.2=641.99
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
-787/43+(37633/602-497/172)=1157/28
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
Denominator 3.3 fn
-2/9+(-286/9-3185/558)=-21041/558
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
Fragment 3.3 fp
(165/8×16/33)÷20/79=79/2
Limited 0.2 fp
(399/8-255/8)×89/36=89/2
Limited 1.3 fp
3/5×61/51+37/255=44/51
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
765/44÷85/4+343/11=32/1
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
-17.64×16 < 12.5×(-20)
Descent 0.3 fn
9/13 < 16142/247
Descent 2.3 fn
77135/956-661/956 < -53/52+4995/52
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
x2+x-2=0
Quadratic 1.1 in
8x2=8
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
13x÷y=13
System 1.2 ip
x-y=55
System 2.1 ip
2x×2y=40
System 3.1 ip
6y-2x=40
Set 0.1 in
-x+y=13
Set 1.1 in
-y+x=3
Set 2.1 in
-6y÷9x=1
Set 3.1 in
-6y-4x=100
Language Exercises
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
chara teristic
English Vocabulary 3.4
sp ritual
Lexicon 1.5
enthu iastic [ebullient]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
awake [awake]
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