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
990636-(121295+199341)=670000
Conversant 1.1 in
6-8=-2
Conversant 1.5 in
-718439+495963=-222476
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
(1000÷20)÷5=10
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7964÷44=181
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
6400-40×55=4200
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
276+(45-44)×37=313
Numeracy 3.3 ip
297+(747-702)÷15=300
Divisor_ENG 1.3 ip
2847÷39=73
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
44.1-1.6+51.5=94
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
0.1+3+1=4.1
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
0.5÷1=0.5
Denary 1.1 dp
6×1.1=6.6
Denary 2.1 dp
62.7÷2.2=28.5
Denary 3.1 dp
18.4÷2=9.2
Divisional_ENG 1.1 dp
60÷4.8=12.5
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
703962-603037 > 746779-645871
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
5 = 5
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
-1-3 < 2-0
Ceil 3.1 in
8÷4 > -10÷(-10)
Point 1.1 dp
32 < 78.2
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
18+48÷x=20
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
-x×(-4)=8
Rounding
Rounding 1.1 dp
37.6≈38
Rounding 2.1 dp
4.8+1.9≈7
Round 0.1 ip
111+141≈25
Round 0.2 ip
1528≈15
Round 0.3 ip
263×2351≈618
Round 1.3 ip
102436≈102
Round 2.2 ip
9959-168≈98
Round 2.3 ip
719921-166217≈554
Round 3.1 ip
516÷2≈26
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
235030÷10≈24
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
п ркет
English Vocabulary 2.3
ositive
English Vocabulary 3.2
cl an
Lexicon 1.3
un form [outfit]
Infinitive 2.1
outride [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
22-(60-34)=-4
Conversant 1.2 in
18-20=-2
Conversant 1.3 in
74-74=0
Conversant 2.2 in
5-4+9=10
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
-10+(4-4)=-10
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
7-(-30+12)=25
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
763×519=395997
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
(20×25000)÷250=2000
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
9641×4153=40039073
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-60+20÷(17-15)=-50
Logics 0.1 in
2×3×5=30
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-80÷4÷(-2)=10
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
Partitive 0.3 dp
77.35+1.66+5=84.01
Partitive 1.3 dp
47.47-7.76=39.71
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-79.3+7.8=-71.5
Split 2.1 dn
-1-1-4.8=-6.8
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
-7+(-14.5-70.1)=-91.6
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
30.24÷1.12=27
Denary 0.1 dp
0.9×6=5.4
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
5.6×0.05=0.28
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
17.6÷4+4×1.7=11.2
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
2×5.6-10.5=0.7
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Residual_ENG 1.1 dp
64÷5=12.8
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
1/18+1/9=1/6
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
Fragment 1.1 fp
4/3÷8/3=1/2
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
Reduction 1.1 fp
126/45=14/5
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
58 < 517
Ceil 1.2 in
30 < 100
Ceil 1.3 in
268 > -563
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-609+849 > -304+461
Ceil 3.2 in
36÷(-3) > -2×50
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
81 > 80.07
Point 1.3 dp
74.87 < 98.82
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
7.4-47.6 < 91-26.4
Doted 0.2 dn
-54.66 < 6
Doted 1.1 dn
-66.5 < 30.1
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
-25-19 < 84.8-67.4
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
132/361 < 8109/722
Improper 2.2 fp
238/43-226/43 < 1/2+7/86
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
1/5÷1/2 < 2/3÷5/6
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
Descent 1.1 fn
-1/10 < 3/5
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
2×(-1+x)=-8
Lineal 0.2 in
-x-58=20
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
-x-561=409
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
-760÷x=76
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
-3×(-x+3)=-9
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
97.77×0.8≈78.2
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
37.17+22.84≈60
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
cl mbing
Lexicon 2.3
p ckage [parcel]
Infinitive 1.2
bleed bled [bleed]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
806+(-803-181)=-178
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
-(92-67)+(152+426)=553
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
3278100÷100=32781
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
(950-850)÷(-2-3)=-20
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
72÷3=24
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
(6×60)÷(-40)=-9
Logics 4.2 in
-8×8×(-2×4)=512
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
589.082-100=489.082
Partitive 2.4 dp
540.918-322.772+781.854=1000
Partitive 3.4 dp
231.117+(5.773+567.584)=804.474
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
-600+543.786+24.469=-31.745
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
77÷28=2.75
Divisional 1.3 dp
0.192÷0.004=48
Denary 0.2 dp
17.28÷28.8=0.6
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
24.48÷3.2=7.65
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
0.8×0.5×24.3=9.72
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
80.59+0.8×6.25=85.59
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
51.038-48×0.6-11.004=11.234
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
-86.9+81÷(67-75.1)=-96.9
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
11÷2=5.5
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
1592/17-1575/17=1/1
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
-58/9+4/9=-6/1
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
-1022/23+87/2=-43/46
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
-1/12+(-1/3-379/66)=-271/44
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
Fragment 2.3 fp
3/11÷3/88÷248/27=27/31
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
57920/880=724/11
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
15/8×(9/2-25/6)=5/8
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
707.652+80.746 = 130.247+658.151
Point 3.3 dp
0.8×88 > 76.292÷19.073
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
981.991 > -39.637
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
13313/275-36909/770 < 8499/112-16791/224
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
1/2-1/4 < -2/9+8/9
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
27641/566 < 55238/849
Descent 2.2 fn
-7/2-3/1 < -19/8+75/8
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
-2/5÷8/97 < -92/11÷23/3
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
-555+29×x=460
Lineal 4.3 in
-160×(-675+x)=-800
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
public y
English Vocabulary 2.4
alc hol
Lexicon 1.4
c nnection [union]
Infinitive 2.2
typecast [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-398+42×2319=97000
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
Logics 1.3 in
-264÷(-66)=4
Logics 2.3 in
-1680÷2÷(-6)=140
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
1.012÷1.265=0.8
Denary 4.4 dp
194.4÷64.8÷4.8=0.625
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
526.342-312.5×0.32=426.342
Definition 2.4 dp
589.171+0.9÷36×490=601.421
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
-0.78×54+58.046=15.926
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
Negatory 3.4 dn
20+(0.534+0.066)÷0.003=220
Residual_ENG 1.3 dp
98÷7=14
Fraction Examples
Denominator 0.3 fn
1864/35-39751/665=-867/133
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
152/3-12/13×133/18=570/13
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
553/9-7025/639 > 97/71-31/2
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
2x2+14x=0
Quadratic 3.1 in
-x2-6x-9=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y-x=36
System 2.1 ip
90y÷10x=30
System 3.1 ip
9y+5x=140
Set 0.1 in
-x×y=-32
Set 1.1 in
y+x=-3
Set 2.1 in
414y÷2x=-92
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
как ду
English Vocabulary 1.5
unre sonable
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
repr duce
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
manufact re [production]
Infinitive 1.3
cost cost [cost]
Infinitive 3.2
unhang [unhang]
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