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
10000+(495252+24826)=530078
Beginner 4.5 ip
162366+277869+128409=568644
Beginner 5.5 ip
990636-(121295+199341)=670000
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
2000×309=618000
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
4046+46×438=24194
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
126÷14+168÷84=11
Numeracy 3.2 ip
(22+18)×(14+6)=800
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
6750÷75=90
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
9-(9.4-7.5)=7.1
Partitive 0.2 dp
67.7-6.1-41.9=19.7
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
5.1+6.2-7.3=4
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
-6÷(-3) > -8÷4
Ceil 1.1 in
4 > 3
Ceil 2.1 in
10+0 > 9-2
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
10.3+85.5 > 71.2-13.2
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
28+x=77
Linear 0.3 ip
45×(14+x)=720
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
616÷(12+x)=28
Lineal 1.1 in
-x+4=-3
Lineal 2.1 in
x÷(-10)=1
Rounding
Rounding 1.1 dp
11.9≈12
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
111+141≈25
Round 0.2 ip
992≈10
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
822773≈823
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
820÷4≈21
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
р сток
English Vocabulary 2.3
cen ral
English Vocabulary 3.2
d rty
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
mislaid [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
-6+5=-1
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
17+16-13=20
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
0-(-2-16)=18
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(2+0)-(2+6)=-10
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
982×594=583308
Cognizant 2.4 ip
630÷3=210
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
250×2÷10=50
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
240×(6÷3)×950=456000
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
34-3×9-37=-30
Intellect 1.1 in
-32-2×19=-70
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
22-(-28-52)÷10=30
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
61.53-35-12=14.53
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
1.9+2.6-4.7=-0.2
Split 2.2 dn
2.4-0.1-80.3=-78
Split 3.1 dn
7.3-(9-6)=4.3
Split 3.2 dn
-49.1-(65-37.1)=-77
Residual 1.1 dp
20÷2=10
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
0.62÷2.48=0.25
Denary 3.2 dp
2.88÷36=0.08
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
32+8÷3.2-4.5=30
Definition 3.1 dp
38.4÷(1.9+7.7)×4.8=19.2
Negatory 1.1 dn
-8.5×5-45.5=-88
Negatory 2.1 dn
18.5+3.8×11÷4.4=28
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
Numerator 1.2 fp
28/5-64/15=4/3
Numerator 2.1 fp
1/5+4/5-3/7=4/7
Numerator 2.2 fp
37/8-13/8+50/77=281/77
Numerator 3.1 fp
3/5+(2/5-1/4)=3/4
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
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
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
Fragment 1.1 fp
2/5×5/8=1/4
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
39/6=13/2
Reduction 1.2 fp
3231/129=1077/43
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-239-388 < -248+30
Ceil 3.2 in
100÷(-25) < -90÷30
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
83.811 < 83.827
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
70.62-25.85 = 26.99+17.78
Point 2.3 dp
10.277+8.723 < 45-7.757
Point 3.1 dp
13×3.4 > 27.2×0.5
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
-63.97 < 63.96
Doted 2.1 dn
-11.6-1.9 < 8+5.5
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
4/5×5/6 < 1/2÷5/8
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
-3/4 < 1/5
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
-1+x=49
Lineal 1.3 in
-x+157=-163
Lineal 2.2 in
80÷(-x)=-2
Lineal 2.3 in
-x÷(-4)=97
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
95.55-21.82≈73.7
Rounding 2.3 dp
0.671+68.427≈69.1
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
д лемма
English Vocabulary 3.3
incl de
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
let let [let]
Infinitive 3.1
lay [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
0-413-496=-909
Conversant 2.5 in
-766312+774055-939583=-931840
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
181625-(-153365-643000)=977990
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
-706+918÷(28+26)=-689
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
63+141×10-594=879
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
-36÷(-4)=9
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(-20×2)÷(-4)=10
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
537.923-16.72=521.203
Partitive 2.4 dp
480-159.347-96.507=224.146
Partitive 3.4 dp
375.736-(36+16.85)=322.886
Split 0.3 dn
12+46=58
Split 0.4 dn
-553.402-449.17+193.209=-809.363
Split 1.3 dn
-70+33.94=-36.06
Split 1.4 dn
-391.575+236.8=-154.775
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
105.845-(-165.539+141.384)=130
Residual 1.2 dp
74÷8=9.25
Divisional 1.3 dp
0.072÷0.1=0.72
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
2.64÷1.32=2
Denary 3.3 dp
4×0.017=0.068
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
2×0.04+9.95=10.03
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
53.24-6.84÷4.5+23.26=74.98
Definition 2.3 dp
38.8-1.3×32×0.5=18
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
Negatory 0.2 dn
91.87+(80-87.2)÷90=91.79
Negatory 1.2 dn
15.84×2+30=61.68
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
20+10×0.033+41.27=61.6
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
-20-(0.76+23.24)÷7.5=-23.2
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
63.36÷9.216=6.875
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
84037/891-(14552/891-13378/891)=93/1
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
12/19÷6/19=2/1
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
2750/6650=55/133
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
9/2-1/3×9/2=3/1
Complete 1.2 fn
-7/17÷79/34-18/79=-32/79
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
121236-219349 < 906719-76722
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
6.4×5 < 64.026÷2
Doted 0.3 dn
-92+41 > -91.036+40.026
Doted 1.3 dn
95 > -78
Doted 1.4 dn
310 > -487.701
Doted 2.3 dn
5.133+9.104 < -18.552+32.805
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Lineal 0.3 in
979+x÷5=951
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
(957-x)×266=-798
System 1.1 ip
x-y=3
Rounding
Language Exercises
Russian Vocabulary 1.5
наскво ь
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
there ore
English Vocabulary 2.4
cr me
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
retake [retake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
-930×73+7749=-60141
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
6298+22÷(3400-3389)=6300
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
8712÷36=242
Logics 2.3 in
-4×(-23)×(-65)=-5980
Logics 3.3 in
1600÷(-10×8)=-20
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
15.288÷3=5.096
Denary 3.4 dp
828×0.002=1.656
Denary 4.4 dp
23.75×2.56×0.5=30.4
Denary 5.4 dp
3.12÷(15.6×12.5)=0.016
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
968.241+2.73÷0.624÷7=968.866
Definition 1.4 dp
3.52×0.05+530.528=530.704
Definition 2.4 dp
800×0.576-74.52÷43.125=459.072
Definition 3.3 dp
11.875÷(20.369+4.631)×4.6=2.185
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-1.2×384.8+246.534=-215.226
Negatory 1.4 dn
2.7×17.55-15.385=32
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
31.665+72.8÷(28.971-32.299)=9.79
Negatory 3.4 dn
-1.25÷(620.233-622.733)×50=25
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-23984/369-(-28/41-23486/369)=-2/3
Denominator 2.3 fn
260/7+153/7-28589/479=-328/479
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
(1/5+3/10)÷13/20=10/13
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
Complete 1.3 fn
105/152×368/735-8/133=2/7
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
77135/956-661/956 < -53/52+4995/52
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
6x2=54
Quadratic 2.1 in
-6x2-48x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
13x÷y=13
System 1.2 ip
x+y=105
System 2.1 ip
2x×2y=40
System 3.1 ip
4x+6y=100
Set 0.1 in
y+3x=-24
Set 1.1 in
-x-y=0
Set 2.1 in
216x÷9y=-15
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
ген алогия
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
compl te
Lexicon 1.5
enthu iastic [ebullient]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
foresee [foresee]
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