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
354281+581405-260651=675035
Beginner 5.5 ip
414616+(231968+265750)=912334
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
-3-1-5=-9
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(1000÷20)÷5=10
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
3162÷17=186
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
2692+2208÷(115+161)=2700
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
30.6+39.3+24=93.9
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
39.9+45.1=85
Partitive 2.1 dp
0.1+3+1=4.1
Partitive 2.2 dp
76.2-61.2+31=46
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
12.6÷0.5=25.2
Denary 3.1 dp
4×8.8=35.2
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
Natural 0.4 ip
772000÷193 < 519483÷129
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
-6÷(-3) > -8÷4
Ceil 1.1 in
-3 > -10
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
4/1 > 3/1
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
x÷5=90
Linear 3.3 ip
96-x÷2=43
Linear 4.2 ip
(x+25)×2=76
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
-x+4=-3
Lineal 2.1 in
-x÷4=-1
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
529≈53
Round 0.2 ip
3500+2064≈56
Round 0.3 ip
147857≈148
Round 1.3 ip
47794≈48
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
410÷5≈8
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
870504÷152≈6
Language Exercises
Russian Vocabulary 1.4
сан торий
Russian Vocabulary 3.3
н верное
English Vocabulary 1.3
e pire
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
mislaid [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4+(-1-0)=-5
Conversant 0.2 in
-17+18-20=-19
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
-45-23=-68
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
(19+3)-(3+4)=15
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
742×677=502334
Cognizant 1.4 ip
729×983=716607
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
200×200=40000
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
21×(318×10)=66780
Cognizant 6.4 ip
200÷(2×5)×10=200
Multiplier 1.5 ip
51004×1300=66305200
Divisor 1.4 ip
22400÷32=700
Intellect 0.1 in
90÷2-76=-31
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
28-69÷23-95=-70
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
57÷(-3)=-19
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
Partitive 1.3 dp
47.47-7.76=39.71
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
2-9.3=-7.3
Split 0.2 dn
-72.6-5.8=-78.4
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
11.3-(-78.9-0.8)=91
Residual 1.1 dp
6÷10=0.6
Divisional 1.2 dp
20.4÷0.8=25.5
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
57×0.01=0.57
Denary 2.2 dp
3.84÷4.8=0.8
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
82.8÷23÷4.5=0.8
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
30.4-4÷0.5=22.4
Definition 1.1 dp
18.8+3.2×3=28.4
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
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
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
4/9+2/9+1/6=5/6
Numerator 0.2 fp
19/7-31/14+19/78=29/39
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
3/10-1/10+3/10=1/2
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
Denominator 0.1 fn
-1/4-1/8+1/8=-1/4
Denominator 1.1 fn
5/8-7/8=-1/4
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
1/2×762/29=381/29
Fragment 2.1 fp
23/5÷46/5÷7/10=5/7
Reduction 1.1 fp
72/81=8/9
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
678 > -681
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
36÷(-3) > -2×50
Ceil 3.3 in
-25×4 < 990÷9
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
Point 0.2 dp
1.8×39.2 < 4.14×20
Point 1.2 dp
1.3 > 1.28
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
92-90.378 = 0.592+1.03
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
87.32 > 87.31
Doted 2.1 dn
-25-19 < 84.8-67.4
Doted 2.2 dn
-55.36+7.36 > -23.6-24.42
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
46/5-1/5 > 1/2+7/38
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
-3/5 > -4/5
Descent 1.2 fn
485/62 < 279/34
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
x-9=58
Lineal 2.2 in
2×x=-94
Lineal 2.3 in
33×x=-990
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
6×(41-x)=-54
Rounding
Rounding 0.1 dp
50.5×1.4≈71
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
11.882≈11.88
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
79.836+3.283≈83.12
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
pea eful
Lexicon 2.3
restri t [bound]
Infinitive 1.2
overshoot overshot [overshoot]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
-543-917+552=-908
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
-177674-(234978+201437)=-614089
Conversant 4.4 in
(0-479)+(929-218)=232
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
361+10×21=571
Intellect 1.2 in
-395+30×41=835
Intellect 2.2 in
-457+90÷30-347=-801
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
35×(-26)=-910
Logics 2.2 in
-75÷(-15)×10=50
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
Partitive 0.4 dp
18-18=0
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
-91+16=-75
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
-60-12=-72
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-69.23+90.32-50.09=-29
Split 2.4 dn
543.668-193.87-949.798=-600
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
555.914-(216.354-296.44)=636
Residual 1.2 dp
77÷28=2.75
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
3.75×4=15
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
3.4×4=13.6
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
24×0.004=0.096
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
31.36×0.1÷2.56=1.225
Denary 5.2 dp
1.6×(6.25×4)=40
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
52.92÷1.47-19=17
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
98.091+18.63÷12.42=99.591
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
21.6÷24-93.04=-92.14
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
189/5-1162/65=259/13
Numerator 1.3 fp
1/4+7991/180=2009/45
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
137/21-149/21=-4/7
Denominator 1.3 fn
3/4+3784/71=15349/284
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
Fragment 0.2 fp
56/13×117/14=36/1
Fragment 1.3 fp
1/13×91/15=7/15
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
10782/1422=599/79
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
3/4×50/9+5/2=20/3
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
-109061+979061 > 655123-64353
Ceil 3.4 in
-2×8 > 168000÷(-4)
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
275.032+76.911 > 864.109-512.178
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
11.471 > -11.454
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-17/31×(-38/17) > -48/11×11/8
Descent 1.3 fn
-13777/249 < -61/415
Descent 2.2 fn
1/3+38/11 < -92/99+971/99
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
effe tively
English Vocabulary 2.4
enor ous
Lexicon 1.4
h ndredth [centesimal]
Infinitive 2.2
shoe [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-5067-264÷88=-5070
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
98÷49=2
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
1.12×12.5=14
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
237.6×2÷600=0.792
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
93.74+(0.894+1.356)×0.02=93.785
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
1.656÷41.4+695.533=695.573
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
-3×84.48+93.275=-160.165
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
Negatory 3.3 dn
-4.8÷(-0.564-1.936)÷0.064=30
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
35÷5=7
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
460/9×(17/22×77/68)=805/18
Limited 0.2 fp
2383/80+13/2×8/5=643/16
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
(-7/18-1/9)÷19/27=-27/38
Comparisons
Doted 0.4 dn
-156.978 > -748.831
Doted 3.4 dn
599.86÷(-29.993) > -57.8×13.2
Descent 0.3 fn
-1110/47÷(-3774/109) < -75/1×(-1063/825)
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
x2=100
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
x2+2x-24=0
System 0.1 ip
4y+9x=113
System 1.2 ip
y+x=31
System 2.1 ip
3y×4x=432
System 3.1 ip
9y+5x=140
Set 0.1 in
-y-x=-5
Set 1.1 in
y+x=-3
Set 2.1 in
-3y×4x=-960
Set 3.1 in
10y+4x=128
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
enthu iastic
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
sp ritual
Lexicon 1.5
commun cation [giving]
Lexicon 2.4
hi tory [past]
Infinitive 1.3
misspeak misspoke [misspeak]
Infinitive 3.2
undercut [undercut]
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