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
909180+83420=992600
Beginner 4.5 ip
956297-3081-25816=927400
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
-3-3=-6
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
8+0-9=-1
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
1440÷12×63=7560
Cognizant 5.3 ip
(64÷8)×6=48
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
7964÷44=181
Numeracy 0.2 ip
(100-27)×(20-9)=803
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
5973÷11=543
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
0.9+71.2=72.1
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
27.3-(47.1-46)=26.2
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
84÷1.2=70
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-1-7 < -0+10
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
308/61 < 83/10
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
85+x×83=915
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
1-x=1
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
11.9≈12
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
97+168≈27
Round 0.2 ip
4×2234≈89
Round 0.3 ip
894105-359965≈534
Round 1.3 ip
809804≈810
Round 2.2 ip
8604-785≈78
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
31×27≈84
Round 3.2 ip
1004×8≈80
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
п ркет
English Vocabulary 1.3
th rteen
English Vocabulary 2.3
hor or
Lexicon 1.3
stuf [matter]
Infinitive 2.1
wear [wear]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(5-10)-(1+4)=-10
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
-30-65=-95
Conversant 1.2 in
10-3=7
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
4-(6+1)=-3
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
-10-(40+30)=-80
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(19-17)-(1+13)=-12
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
3528÷84÷2=21
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
32×15×327=156960
Cognizant 5.4 ip
80×(2×25)=4000
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
18732÷28=669
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
7×10+72÷9=78
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
12÷2=6
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
Logics 4.1 in
24×(-4)÷(-2×(-2))=-24
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
44.53+(53.84-45)=53.37
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
66.72+(9.58+4)=80.3
Split 0.1 dn
4.7+(-1-1.1)=2.6
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
91+3=94
Split 2.1 dn
5.3+5.3-1.6=9
Split 2.2 dn
-69.5+99.4-60.7=-30.8
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
11.3-(-78.9-0.8)=91
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
80.64÷4.2=19.2
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
95-20.4÷5.1+1.4=92.4
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
23.4+1.2×45-50=27.4
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
-81.2÷5.8-1.2×5=-20
Residual_ENG 1.1 dp
11÷5=2.2
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
189/29-182/29=7/29
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
1/5+4/5-3/7=4/7
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
3/5+(2/5-1/4)=3/4
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
1/3+2/3-2/3=1/3
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
22/14=11/7
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
15÷(-5) > -40÷10
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
18 > -61
Ceil 1.3 in
678 > -681
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
982-93 < 391+505
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
-84×(-9) > 150×3
Point 0.1 dp
14 > 13.8
Point 0.2 dp
40.02 < 48
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
34.588 > 23
Point 1.4 dp
789.892 > 131.845
Point 2.2 dp
26.53+26.28 > 1.85+50.07
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
99÷11 > 0.8×2.5
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
-25-19 < 84.8-67.4
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-16×(-4.95) > 97.6÷(-4.88)
Improper 0.1 fp
4/9 > 1/6
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
641/220 < 11698/121
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
-4/7 < -1/2
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
-x-58=20
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
53+x=-400
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
x×80=-800
Lineal 3.1 in
-10+x×2=10
Lineal 3.2 in
-40+x×2=92
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
58.34≈58.3
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
42.03-2.91≈39.1
Rounding 2.3 dp
3.977+18.018≈22
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
40×1.5≈60
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
massi e
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
overrun [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
-172-(-877+488)=217
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
(131208+223882)-(581881-485376)=258585
Divisor 1.5 ip
5636374÷587=9602
Intellect 0.2 in
(292-232)÷(11+19)=2
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
430-960÷80+189=607
Intellect 3.2 in
165+(474-114)÷180=167
Logics 0.2 in
-528÷(-16)×13=429
Logics 1.2 in
92÷(-2)=-46
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
2×(30×(-8))=-480
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
47+553=600
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
581.172-141.613=439.559
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
-70-(-97.33-62.67)=90
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
28.05÷5.1=5.5
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
2.34÷4.5×18=9.36
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
Denary 5.3 dp
0.945÷(0.756÷18)=22.5
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
61.76+3.2×3.2=72
Definition 1.3 dp
11.016÷27.54-0.293=0.107
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
Negatory 0.1 dn
16.4+(-2.8-3.2)÷2.4=13.9
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
-30.444+0.792×64=20.244
Negatory 2.2 dn
-73.46+3.36÷0.96×30=31.54
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
1/8+(47/392+8/539)=20/77
Denominator 0.2 fn
-58/9+4/9=-6/1
Denominator 1.2 fn
-103/30+137/15=57/10
Denominator 1.3 fn
-1022/23+87/2=-43/46
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
175/4×28/25=49/1
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
8/3÷(9/2×4/27)=4/1
Reduction 1.3 fp
17252/247=908/13
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
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
-3/5-4/5÷1/8=-7/1
Complete 1.2 fn
-7/17÷79/34-18/79=-32/79
Complete 2.1 fn
-(7/3+20/3)÷9/2=-2/1
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
10+478.4 < 19.623+679.245
Point 3.3 dp
19.788÷4 < 20.74÷4.148
Point 3.4 dp
3.2×24.5 > 19.2×0.8
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
981.991 > -39.637
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
-426.077+261.642 < -41.617+503.363
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
Improper 3.3 fp
1/2×180/607 < 633/25÷211/695
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
-449/45+29/3 < 10/1-1/3
Descent 3.1 fn
1/3×(-2/3) < 3/5×5/9
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
Lineal 0.3 in
-x+940=350
Lineal 3.3 in
x×29+942=-798
Lineal 4.3 in
-768÷(x+873)=-256
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
ккорд
English Vocabulary 1.4
public y
English Vocabulary 2.4
alc hol
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
hang [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-932-896÷16-108=-1096
Intellect 1.3 in
-1907+3456÷12=-1619
Intellect 2.3 in
-4100+608÷38+93984=89900
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
7÷56=0.125
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
1.52÷0.76=2
Denary 3.4 dp
51.48÷3.75=13.728
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(1÷31.25)÷4=0.008
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
800×0.576-74.52÷43.125=459.072
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
769.975+0.72÷(933-904.2)=770
Negatory 0.3 dn
-43.24÷11.5-23.264=-27.024
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
33.6÷(0.72+1.52)÷8=1.875
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
1/8×3424/643-274/643=154/643
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
Complete 1.3 fn
212/981-19/48×30488/327=-23995/654
Complete 2.2 fn
(-7/18-1/9)÷19/27=-27/38
Comparisons
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
Descent 2.3 fn
77135/956-661/956 < -53/52+4995/52
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
2x2=0
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y-x=5
System 2.1 ip
720x÷3y=800
System 3.1 ip
6y-2x=40
Set 0.1 in
2x+6y=12
Set 1.1 in
y-x=1
Set 2.1 in
-2y×2x=-400
Set 3.1 in
-1x-y=19
Language Exercises
Russian Vocabulary 2.5
как ду
English Vocabulary 1.5
del berately
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
repr duce
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
become [become]
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