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
612415-407415=205000
Beginner 4.5 ip
114479+71580+313941=500000
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-4-5=-9
Conversant 1.5 in
-427576+192054=-235522
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
63÷3=21
Multiplier 1.4 ip
22227×233=5178891
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
7200÷16-250=200
Numeracy 2.3 ip
5240-10×16×24=1400
Numeracy 3.2 ip
493-(710-658)×3=337
Numeracy 3.3 ip
5979-(1475-897)÷34=5962
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
7.7-3.3=4.4
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
9.7-7.8+6.1=8
Partitive 2.2 dp
99-34-49=16
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
3.6÷7.2=0.5
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
13.8÷0.4=34.5
Fraction Examples
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
729615÷127 < 288×75
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
5 < 10
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
8÷(-2) > -2×4
Point 1.1 dp
73 > 64.9
Point 2.1 dp
10.3+85.5 > 71.2-13.2
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
58-x=28
Linear 0.3 ip
93×x=651
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-4÷x=2
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
2.8+54.2≈57
Round 0.1 ip
9×101≈91
Round 0.2 ip
9002≈90
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
425693≈426
Round 2.2 ip
1581+2585≈42
Round 2.3 ip
949732-156918≈793
Round 3.1 ip
975÷15≈7
Round 3.2 ip
1117×5≈56
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
гр мматика
English Vocabulary 1.3
contin e
English Vocabulary 2.3
cen ral
Lexicon 1.3
pr per [correct]
Infinitive 2.1
bring [bring]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
(13+80)+(70-100)=63
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-25+99=74
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
10-(-5+5)=10
Conversant 3.2 in
19+(-5+6)=20
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
(0+6)-(10+0)=-4
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(60+49)+(79+11)=-19
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
338×104=35152
Cognizant 2.4 ip
424560÷120=3538
Cognizant 3.4 ip
200×200=40000
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
-20-7×8+23=-53
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
-84÷(3×(-4))×(-9)=-63
Divisor_ENG 1.4 ip
36126÷27=1338
Decimal Examples
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
Partitive 1.3 dp
26.24-25.89=0.35
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
-12-(1.3+16.1)=-29.4
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
5.9+73.4=79.3
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
0.8+(1-9.7)=-7.9
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
15÷5=3
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
27×0.2=5.4
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
5.6×0.05=0.28
Denary 4.1 dp
10.5×6×0.4=25.2
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
23.4+1.2×45-50=27.4
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
-18÷1.8-23=-33
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
0.9÷1.2=0.75
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
5/6+25/6-33/8=7/8
Numerator 1.2 fp
17/10+81/50=83/25
Numerator 2.1 fp
3/8+1/8+2/5=9/10
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
183/65+(241/52-7/4)=57/10
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
49/5÷931/45=9/19
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
10/16=5/8
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
15÷(-5) > -40÷10
Ceil 0.3 in
-833+766 < 5+55
Ceil 1.2 in
43 > 16
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
-44+961 > 8+2
Ceil 3.2 in
100÷(-25) < -90÷30
Ceil 3.3 in
892÷(-4) < 369÷(-3)
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
Point 0.2 dp
41.62-2.87 < 8.3+66.62
Point 1.2 dp
80 > 36.8
Point 1.3 dp
41.862 > 12.645
Point 1.4 dp
310.752 > 310.746
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
44.524+26.476 < 98.418-17.608
Point 3.1 dp
6.6×0.5 < 58.5÷5
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
Doted 1.1 dn
21.5 > -92
Doted 1.2 dn
-98.21 < -69
Doted 2.1 dn
-7.7+34.7 < -15.5+42.7
Doted 2.2 dn
-79.74+53 < 79.43+3.57
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
69/11 < 46/5
Improper 1.3 fp
4092/95 > 2287/55
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
23/627+4/627 < 577/68+2929/340
Improper 3.1 fp
3/10÷1/2 = 3/4×4/5
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
68-x=-2
Lineal 1.3 in
-x+157=-163
Lineal 2.2 in
80÷(-x)=-2
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
-3×x+29=-1
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
62.56÷3.03≈20.6
Rounding 1.2 dp
74.91≈74.9
Rounding 1.3 dp
24.995≈25
Rounding 2.2 dp
89.29-14.12≈75.2
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
w rking
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
388273+(993690-733140)=648823
Conversant 1.4 in
-110-610=-720
Conversant 2.4 in
-578+241+184=-153
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
-821-(-206+65)=-680
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
-(86+70)-(14+130)=-300
Conversant 4.5 in
-(700000+255017)+(473443+416413)=-65161
Divisor 1.5 ip
3278100÷100=32781
Intellect 0.2 in
(730-880)÷(-6-9)=10
Intellect 1.2 in
503-300÷100=500
Intellect 2.2 in
63+141×10-594=879
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
-88÷11=-8
Logics 2.2 in
500÷10÷(-5)=-10
Logics 3.2 in
-4×(5×5)=-100
Logics 4.2 in
25×4×(-30÷10)=-300
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
437.208+312.792=750
Partitive 2.4 dp
487.916-95.12-202.796=190
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
-47+23+77.37=53.37
Split 0.4 dn
-93.364+274.922=181.558
Split 1.3 dn
-95.63+65.28=-30.35
Split 1.4 dn
558-592.917=-34.917
Split 2.3 dn
-69.23+90.32-50.09=-29
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
32÷20=1.6
Divisional 1.3 dp
11.04÷29.44=0.375
Denary 0.2 dp
1.14÷4.56=0.25
Denary 0.3 dp
0.5×0.12÷30=0.002
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
2.88÷3=0.96
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
0.8×0.5×24.3=9.72
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
(15.15÷30.3)×0.68=0.34
Denary 5.3 dp
0.945÷(0.756÷18)=22.5
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
50.4÷6.72-3.27=4.23
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
28.622+9×2.127÷76.572=28.872
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
1.2×32-73.5=-35.1
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
21.6÷24-93.04=-92.14
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
82.8-(93-28)÷32.5=80.8
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
24.472÷0.46=53.2
Fraction Examples
Numerator 0.3 fp
67481/693-(97/2-883/126)=4303/77
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
137/2-117/2-37/4=3/4
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
1/2÷3/5=5/6
Fragment 1.3 fp
49/12×4/49=1/3
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
44/5×(1/5×15/4)=33/5
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
2460/2697=820/899
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
11/6+3/2×10/9=7/2
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(15/2-3/2)÷9/5=10/3
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
979486 < 982390
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
-2×8 > 168000÷(-4)
Point 0.3 dp
30.683 < 51.991
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
2.5×3.456 < 2×8.4
Point 3.4 dp
399.762÷7.403 < 306.45÷3
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
-46.773 > -65.138
Doted 1.4 dn
-747.155 = -747.155
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
Descent 0.2 fn
-89/9 < -3/1
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
1/3+38/11 < -92/99+971/99
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Lineal 0.3 in
2×(-x+375)=750
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
-60×(865-x)=540
System 1.1 ip
x-y=9
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
pur hase
English Vocabulary 2.4
i pression
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
beseech [beseech]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
6600-100×100=-3400
Intellect 2.3 in
-252÷18-1080÷90=-26
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
3672÷(-2)÷(-17×(-4))=-27
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
1.38×0.3÷1.725=0.24
Denary 1.4 dp
50.625×0.384=19.44
Denary 2.4 dp
0.6÷18.75=0.032
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
200.09+(1.189+1.311)×0.06=200.24
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
899.49+(51+242.76)÷576=900
Negatory 0.3 dn
-0.676÷3.25-2×0.014=-0.236
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
Negatory 1.4 dn
-3×84.48+93.275=-160.165
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Residual_ENG 1.3 dp
36÷75=0.48
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
1049/37÷(1/5÷3/5)=3147/37
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
2383/80+13/2×8/5=643/16
Limited 1.3 fp
1/2×35/2+313/4=87/1
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
41/44-85/9÷748/63=3/22
Complete 1.3 fn
6/11÷72/55-473/804=-23/134
Complete 2.2 fn
41/10×(1/2+1/6)=41/15
Comparisons
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
-5253/205+15818/205 > 1259/17-1413/34
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
x2+x-2=0
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
x2+2x-24=0
System 0.1 ip
y+x=15
System 1.2 ip
x+y=146
System 2.1 ip
10x×2y=100
System 3.1 ip
4x+9y=118
Set 0.1 in
2x×y=160
Set 1.1 in
-y+x=-11
Set 2.1 in
40x÷8y=-25
Set 3.1 in
-5y+5x=0
Language Exercises
Russian Vocabulary 2.5
как ду
English Vocabulary 1.5
fo ndation
English Vocabulary 2.5
congrat lation
English Vocabulary 3.4
congres
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
undercut [undercut]
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