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
883585-43585=840000
Beginner 4.5 ip
860109-833681+73544=99972
Beginner 5.5 ip
77568+(248800+351933)=678301
Conversant 1.1 in
-6+3=-3
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
-2-1+0=-3
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
271÷87=3(10)
Multiplier 1.4 ip
48333×171=8264943
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
3400-360÷12-428=2942
Numeracy 3.2 ip
(22+18)×(14+6)=800
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
900÷90=10
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
6.2-1-1.4=3.8
Partitive 0.2 dp
52.3+57.1-18.4=91
Partitive 1.1 dp
5.2+3.8=9
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
9-7.6-1=0.4
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
1.2+(0.9+5)=7.1
Partitive 3.2 dp
67-(60-44)=51
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
10.6÷0.5=21.2
Denary 3.1 dp
7×1.2=8.4
Divisional_ENG 1.1 dp
23.4÷0.4=58.5
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
-10+7 < 3+4
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
50.6 < 50.8
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
1/8 < 7/8
Improper 1.2 fp
4/1 > 3/1
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
Linear 0.2 ip
x×15=60
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
15×(43-x)=30
Linear 4.3 ip
220×(795-x)=440
Lineal 1.1 in
10+x=10
Lineal 2.1 in
3×(-x)=-3
Rounding
Rounding 1.1 dp
45.6≈46
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
228÷2≈11
Round 0.2 ip
9002≈90
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
173856≈174
Round 2.2 ip
215+852≈11
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
3×295≈89
Round 3.2 ip
1415×5≈71
Round 3.3 ip
435475×2≈871
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
st te
English Vocabulary 3.2
n nth
Lexicon 1.3
pr per [correct]
Infinitive 2.1
bring [bring]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4+(-1-0)=-5
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
-6-6=-12
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
32-100-21=-89
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
(10+2)+(6-8)=10
Conversant 4.2 in
-(13+10)+(17-1)=-7
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
200×200=40000
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
80×(2×25)=4000
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
-88+12×3÷2=-70
Intellect 3.1 in
22-(-28-52)÷10=30
Logics 0.1 in
2×(-8×4)=-64
Logics 1.1 in
-2×4=-8
Logics 2.1 in
10×(-7)÷2=-35
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
-10×(-14÷(-7))×(-2)=40
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
70-58+33=45
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
1.9+2.6-4.7=-0.2
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
-8.4-(-8.7+1)=-0.7
Split 3.2 dn
11.9-(46.7+57)=-91.8
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
21.12÷3=7.04
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
27×0.2=5.4
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
0.8÷0.5×2.5=4
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
0.8×100-11.8=68.2
Definition 2.1 dp
17.6÷4+4×1.7=11.2
Definition 3.1 dp
62.6÷(4.8-2.8)÷62.6=0.5
Negatory 1.1 dn
2.1+51.3÷19=4.8
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
14.4÷2.4=6
Fraction Examples
Numerator 0.1 fp
1/5+7/10-2/5=1/2
Numerator 0.2 fp
8/13+5/13+17/22=39/22
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
1/5+4/5-3/7=4/7
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
4/9-2/3=-2/9
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
270/35=54/7
Reduction 1.2 fp
399/19=21/1
Limited 1.1 fp
8/9÷4/3+2/3=4/3
Comparisons
Ceil 0.2 in
82 > -20
Ceil 0.3 in
881 > 763
Ceil 1.2 in
-61 < 86
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
90÷3 < 76÷2
Ceil 3.3 in
23×(-4) > -790÷2
Point 0.1 dp
0.5×8 = 27.2÷6.8
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
81 > 80.07
Point 1.3 dp
93.309 > 44
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
9.2+50.64 > 0.89+11.16
Point 2.3 dp
10.277+8.723 < 45-7.757
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
0.8×(-37.5) = -90÷3
Doted 0.2 dn
-16.83-80.19 < 47.97-3.33
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
-60 > -79
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
-31.45+87.04 = -4.41+60
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
13/15×5/13 < 9/10÷6/5
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
238/43-226/43 < 1/2+7/86
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
-4/7 < -1/2
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
-58÷(-x)=2
Lineal 2.3 in
-x×61=-610
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
-100÷x-10=0
Lineal 4.1 in
-3×(7+x)=9
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
3.63+27.94≈31.6
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
75.02-32.53≈42.5
Rounding 2.3 dp
93.215-14.163≈79.05
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
н жданный
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
teach taught [teach]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
-578+241+184=-153
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
(292-232)÷(11+19)=2
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
22×22=484
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
(-39÷(-13))×(-40)=-120
Logics 4.2 in
-2×(5×5)×5=-250
Divisor_ENG 1.5 ip
6106903÷473=12911
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
156.042+339+414.958=910
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
-91.18+66.3-55.12=-80
Split 0.4 dn
-93.364+274.922=181.558
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
-403.384+(226-568.333)=-745.717
Residual 1.2 dp
11÷2=5.5
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
1.28×3.125=4
Denary 2.3 dp
50.388÷4=12.597
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
1.92×1.5÷0.048=60
Denary 5.2 dp
(12.8÷8)÷0.64=2.5
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
Definition 1.2 dp
7.8×11.4-38.92=50
Definition 1.3 dp
61.675+0.768÷0.64=62.875
Definition 2.2 dp
62.83-0.9÷3×34=52.63
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
28.98÷5.152=5.625
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
33/20-(1/5+9/20)=1/1
Denominator 1.2 fn
-17/3-76/99=-637/99
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
(12/5×1/3)×25/4=5/1
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
2/3÷1/6-3/2=5/2
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
55.728+14.272 > 12.571+14.799
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
-92+41 > -91.036+40.026
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
28.836÷(-7.2) < 1.25×(-1.584)
Improper 0.3 fp
473/10 < 11159/150
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-2/5÷8/97 < -92/11÷23/3
Equations
Lineal 0.3 in
x×44+770=110
Lineal 3.3 in
-555+29×x=460
Lineal 4.3 in
-768÷(x+873)=-256
System 1.1 ip
x-y=2
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
effe tively
English Vocabulary 2.4
midni ht
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
1690×60-9981=91419
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-2726-50×22×75=-85226
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
-3520÷8=-440
Logics 1.3 in
98÷49=2
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
(192÷(-32))×40=-240
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
8.1×27.2=220.32
Denary 2.4 dp
15.288÷3=5.096
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
(680÷62.5)×8.925=97.104
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
46.08÷1.125-10.175=30.785
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
Negatory 1.4 dn
-103.36÷16+873.055=866.595
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
(11.044+1.756)×(-51.194-11.306)=-800
Residual_ENG 1.3 dp
18÷24=0.75
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
1209/37÷(130/17÷390/17)=3627/37
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
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
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-5x2+10x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
13x÷y=13
System 1.2 ip
x-y=65
System 2.1 ip
4x÷4y=1
System 3.1 ip
9y+5x=140
Set 0.1 in
2x×y=160
Set 1.1 in
y+x=-3
Set 2.1 in
4y×5x=160
Set 3.1 in
-10y-10x=0
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
themsel es
Lexicon 1.5
emplo ment [business]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
browbeat browbeat [browbeat]
Infinitive 3.2
remake [remake]
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