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
783110+162887-150397=795600
Beginner 4.5 ip
912490-226129-86884=599477
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
880000-442636=437364
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
63÷3=21
Multiplier 1.4 ip
24540×109=2674860
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
(39+10)×(10+9)=931
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
800+(4842-3742)×72=80000
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
318÷20=15(18)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
23.4+21.6=45
Partitive 2.1 dp
9-7.6-1=0.4
Partitive 2.2 dp
25.7+30.8+9.6=66.1
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
17.5×1.6=28
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
104×17 < 25×72
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-2×3 > 4×(-2)
Point 1.1 dp
32 < 78.2
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
9/10 > 1/5
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(x+25)×2=76
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
x-5=0
Lineal 2.1 in
-x×2=2
Rounding
Rounding 1.1 dp
84.8≈85
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
947-335≈61
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
263×2351≈618
Round 1.3 ip
240012≈240
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
5×25≈13
Round 3.2 ip
87×13≈11
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
ор гинальный
Russian Vocabulary 3.3
гум низм
English Vocabulary 1.3
cr am
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
bring [bring]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
-48-(-43-79)=74
Conversant 1.2 in
-7-5=-12
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
5-4+9=10
Conversant 2.3 in
50-54+83=79
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
-5+(-19+6)=-18
Conversant 3.3 in
-52-(-74-18)=40
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
-(12+10)+(16+5)=-1
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
1000×768=768000
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
583200÷72÷4=2025
Cognizant 5.4 ip
(150000÷20)÷25=300
Cognizant 6.4 ip
4900÷49÷(50÷25)=50
Multiplier 1.5 ip
9641×4153=40039073
Divisor 1.4 ip
6250÷25=250
Intellect 0.1 in
10+20÷10=12
Intellect 1.1 in
-96÷6-40=-56
Intellect 2.1 in
23+24÷4+41=70
Intellect 3.1 in
22-(-28-52)÷10=30
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
-80÷4÷(-2)=10
Logics 3.1 in
(-2×25)÷5=-10
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
81.69-52.51=29.18
Partitive 2.3 dp
12.65+34.4+40.93=87.98
Partitive 3.3 dp
30+(3.3+52.04)=85.34
Split 0.1 dn
-9.8+0+2=-7.8
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-32+15.8+27.2=11
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
11.9-(46.7+57)=-91.8
Residual 1.1 dp
15÷5=3
Divisional 1.2 dp
0.18÷2=0.09
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
27×0.2=5.4
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
4×0.01=0.04
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
71+(25.7-24.5)÷0.8=72.5
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
2×5.6-10.5=0.7
Negatory 2.1 dn
-30.6+19.2÷9.6+83.9=55.3
Residual_ENG 1.1 dp
58÷10=5.8
Divisional_ENG 1.2 dp
0.46÷0.02=23
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
77/8-37/8-115/27=20/27
Numerator 1.2 fp
28/5-64/15=4/3
Numerator 2.1 fp
1/2+1/2-3/8=5/8
Numerator 2.2 fp
37/8-13/8+50/77=281/77
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
1/2+(11/2+27/23)=165/23
Denominator 0.1 fn
-4/5-1/5=-1/1
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
1/6+(-1/6-1/2)=-1/2
Fragment 1.1 fp
3/5÷21/5=1/7
Fragment 1.2 fp
112/9÷14/45=40/1
Fragment 2.1 fp
28/3×2/7×3/10=4/5
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
8/80=1/10
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
2+4 > -31+25
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
-26 < -24
Ceil 1.3 in
619 > 610
Ceil 2.2 in
8+8 > 2+9
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
23×(-4) > -790÷2
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
98.17-11.17 > 64.69-20.63
Point 1.2 dp
23 > 21.12
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
879.642 < 950.264
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
Doted 0.2 dn
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
-63.97 < 63.96
Doted 2.1 dn
59+13.2 > -56+77
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
1703/128 > 71/352
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
4/5×5/6 < 1/2÷5/8
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
2×(-1+x)=-8
Lineal 0.2 in
44÷(-x)=2
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
x+720=0
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
6÷x+3=0
Lineal 3.2 in
-93-x×2=67
Lineal 4.1 in
-4÷(-2+x)=-4
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
9.41×9.25≈87
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
17.001≈17
Rounding 2.2 dp
34.25-23.94≈10.3
Rounding 2.3 dp
43.163+9.338≈52.5
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
Russian Vocabulary 2.4
карт тека
English Vocabulary 3.3
w rking
Lexicon 2.3
p ckage [parcel]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
dreamt [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
662-617=45
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-118119+880000-889743=-127862
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
-662785+(-133960+573745)=-223000
Conversant 4.4 in
-(10+596)+(230+530)=154
Conversant 4.5 in
-(291780-635981)-(358302-814101)=800000
Divisor 1.5 ip
2626293÷373=7041
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
-302-4÷(2+2)=-303
Logics 0.2 in
(4×(-25))÷(-20)=5
Logics 1.2 in
3×(-17)=-51
Logics 2.2 in
-20÷10×(-19)=38
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
132.218+120+37.782=290
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
3.98-(-13.02-57)=74
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
-93.76+11=-82.76
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
-22.45-6.22-11.74=-40.41
Split 2.4 dn
-275.078-87.635-530.181=-892.894
Split 3.3 dn
20-(-24.4-29)=73.4
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
Residual 1.2 dp
99÷12=8.25
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
12.1÷100=0.121
Denary 1.3 dp
15.125×0.032=0.484
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
1.216÷4.75×100=25.6
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
31.02+51.84÷8.64=37.02
Definition 1.3 dp
36.9×2.71-1.499=98.5
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
Definition 3.2 dp
66.38-1.43÷(0.66+1.54)=65.73
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
-10.18×4-0.56×88=-90
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
88÷2=44
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
Numerator 0.3 fp
1/4+(47/452+2446/113)=22/1
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
4153/792+6119/792-1709/231=39/7
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
-1022/23+87/2=-43/46
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
-2/3+(8/15-38/15)=-8/3
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
81/2÷9/20=90/1
Fragment 2.2 fp
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
184/23=8/1
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
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
9/4×8/7-4/7=2/1
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(-1/3-1/6)÷5/6=-3/5
Comparisons
Ceil 0.4 in
-886848÷(-2) > -481000÷13
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-5×(-96) < 848000÷4
Point 0.3 dp
2.718 < 2.731
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
Doted 0.3 dn
-79.489 < -22.89
Doted 1.3 dn
29.31 < 44.477
Doted 1.4 dn
310 > -487.701
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
1394/635 < 2666/85
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
1/4+3/4 > 1/1-4/5
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
53437/604 > -13406/151
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Lineal 0.3 in
2×(-x+375)=750
Lineal 3.3 in
-1+x÷577=0
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
initi tive
English Vocabulary 2.4
excl ding
Lexicon 1.4
entert iner [compere]
Infinitive 2.2
hang [hang]
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
5300-4692×45÷15=-8776
Intellect 3.3 in
(800-1096)×(12+75)=-25752
Logics 0.3 in
5600÷(-5)÷2=-560
Logics 1.3 in
100×25=2500
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
-480÷(-4÷2)÷(-4)=-60
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
42.24÷1.056=40
Denary 4.4 dp
23.75×2.56×0.5=30.4
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
46.08÷1.125-10.175=30.785
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
Definition 3.3 dp
2.78×(0.725+8.575)÷34.472=0.75
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
74+29.568÷1.2=98.64
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
(11.044+1.756)×(-51.194-11.306)=-800
Residual_ENG 1.3 dp
98÷7=14
Fraction Examples
Denominator 0.3 fn
1455/937-412/11-666/11=-90371/937
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
-2/3÷13/6-35/13=-3/1
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
7x2=63
Quadratic 1.1 in
9x2=729
Quadratic 2.1 in
-5x2+10x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=0
System 2.1 ip
2x×2y=40
System 3.1 ip
6y-2x=40
Set 0.1 in
x+y=-2
Set 1.1 in
y-x=-10
Set 2.1 in
-9y×x=900
Set 3.1 in
-10y+4x=-60
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
respons bility
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
compl te
Lexicon 1.5
comm nicate [give]
Lexicon 2.4
mathem tics [maths]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
become [become]
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