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
170000+63167+23111=256278
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
0-4-4=-8
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(64÷8)×6=48
Cognizant 6.3 ip
3×(200÷10)÷2=30
Remainder 1.3 ip
370÷6=61(4)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
276+(45-44)×37=313
Numeracy 3.3 ip
5979-(1475-897)÷34=5962
Divisor_ENG 1.3 ip
8449÷71=119
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
5.1+6.2-7.3=4
Partitive 2.2 dp
25.7+30.8+9.6=66.1
Partitive 3.1 dp
2.2+(2+1.3)=5.5
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
83.3÷3.5=23.8
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
6×13824 > 711610÷10
Ceil 0.1 in
-7 < 3
Ceil 1.1 in
2 < 10
Ceil 2.1 in
10+0 > 9-2
Ceil 3.1 in
6÷(-3) = 6÷(-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
20/37 < 661/74
Improper 2.1 fp
1/2-3/10 < 3/5-1/5
Equations
Linear 0.2 ip
57÷x=19
Linear 0.3 ip
x×90=630
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(55-x)×14=70
Linear 4.3 ip
300÷(3+x)=100
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
3×(-x)=-3
Rounding
Rounding 1.1 dp
45.1≈45
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
15×27≈41
Round 0.2 ip
1528≈15
Round 0.3 ip
147857≈148
Round 1.3 ip
822773≈823
Round 2.2 ip
215+852≈11
Round 2.3 ip
965026-242853≈722
Round 3.1 ip
32×7≈22
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
871135÷295≈3
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
сост заться
English Vocabulary 2.3
ositive
Lexicon 1.3
chick n [hen]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-5-2=-7
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-39+89=50
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
17-(90+20)=-93
Conversant 4.1 in
-(2+0)-(2+6)=-10
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
(87-29)-(29+70)=-41
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
234×850=198900
Cognizant 2.4 ip
960÷3=320
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
28000×1250=35000000
Divisor 1.4 ip
18732÷28=669
Intellect 0.1 in
-33+6÷2=-30
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
63.13-32.42-11=19.71
Partitive 3.3 dp
8.06+(27.11-0)=35.17
Split 0.1 dn
3.8+1.1=4.9
Split 0.2 dn
10.9-94.1+58=-25.2
Split 1.1 dn
-6+5.5=-0.5
Split 1.2 dn
51+45=96
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
-2.2+(-4.9-2.8)=-9.9
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
39.78÷2.25=17.68
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
35×0.12=4.2
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
95-20.4÷5.1+1.4=92.4
Definition 1.1 dp
3.8×11-25.4=16.4
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-32÷12.8+66=63.5
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
0.74÷0.2=3.7
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
33/4-3/4=15/2
Numerator 2.1 fp
3/8+1/8+2/5=9/10
Numerator 2.2 fp
17/2-7/6-112/39=58/13
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
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-(-4/5+1/2)=-1/5
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
41/3÷82/3=1/2
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
Reduction 1.1 fp
22/14=11/7
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
Ceil 0.2 in
1+0 > 2-63
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
-25-23 < 10+0
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
Ceil 3.3 in
-7×30 < -860÷(-4)
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
81.89 > 51.14
Point 1.3 dp
73.296 = 73.296
Point 1.4 dp
789.892 > 131.845
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
87÷5.8 > 0.5×20.8
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
47.3 > -86
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
21.5 > -92
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
-1.2+100 > 54.4-37.4
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
-16×(-4.95) > 97.6÷(-4.88)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
-253/30 < -129/16
Descent 2.1 fn
1/1-1/5 > -1/2-1/4
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
-x-793=-463
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
10÷x+8=9
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
Russian Vocabulary 2.4
э спрессия
English Vocabulary 3.3
s bject
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
rethink rethought [rethink]
Infinitive 3.1
drive [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
580-803-642=-865
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
-511-(510-659)=-362
Conversant 3.5 in
-177674-(234978+201437)=-614089
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
-(100000+90000)-(249388-209388)=-230000
Divisor 1.5 ip
1562499÷139=11241
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
-270-20×3=-330
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
35×(-26)=-910
Logics 2.2 in
50÷10×40=200
Logics 3.2 in
(10÷(-5))×(-10)=20
Logics 4.2 in
-15÷(5×3)×(-19)=19
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
132.218+120+37.782=290
Partitive 3.4 dp
231.117+(5.773+567.584)=804.474
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
140+90=230
Split 1.3 dn
13.3-6.79=6.51
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
114-131.583-424.417=-442
Split 3.3 dn
-70-(-97.33-62.67)=90
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
7.2÷15=0.48
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
1.1×5.5÷0.55=11
Denary 4.3 dp
1.92×1.5÷0.048=60
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
(0.8÷0.016)÷5=10
Definition 0.2 dp
(2.3+1.2)×(7.35+14.25)=75.6
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
Definition 3.2 dp
(19.41+33.03)÷(89.02-87.64)=38
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
Negatory 1.3 dn
-23.46÷93.84-89.75=-90
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
Negatory 3.1 dn
82.8-(93-28)÷32.5=80.8
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
1/4+(47/452+2446/113)=22/1
Numerator 1.3 fp
3782/351+9647/351=1033/27
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
39/5-243/35=6/7
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
Reduction 1.3 fp
17252/247=908/13
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
Limited 1.2 fp
18/19-18/19÷36/17=1/2
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
Complete 1.1 fn
3/4×50/9+5/2=20/3
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
403632 > 402954
Ceil 2.4 in
876219-121902 > -260768-593141
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
504.6÷10.092 > 529.414÷11.509
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
95 > -78
Doted 1.4 dn
-747.155 = -747.155
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
5/6 > -5/8
Descent 0.2 fn
-89/9 < -3/1
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
x÷2+425=0
Lineal 4.3 in
-160×(-675+x)=-800
System 1.1 ip
y-x=0
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
there ore
English Vocabulary 2.4
c iling
Lexicon 1.4
h morous [jocular]
Infinitive 2.2
beseech [beseech]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
3224×11+4536=40000
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
29600+1200×54÷27=32000
Intellect 3.3 in
4859+(-60-100)×53=-3621
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
(192÷(-32))×40=-240
Logics 4.3 in
-8550÷(-15)×(-40÷10)=-2280
Decimal Examples
Residual 1.3 dp
88÷64=1.375
Denary 0.4 dp
1.12×12.5=14
Denary 1.4 dp
27.625×32=884
Denary 2.4 dp
85.68÷3.75=22.848
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
Definition 0.4 dp
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
11.875÷(20.369+4.631)×4.6=2.185
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
960.4+320÷200=962
Negatory 1.4 dn
-380.53+405×0.026=-370
Negatory 2.4 dn
841.234-122.4÷9.375-988.178=-160
Negatory 3.3 dn
(12.544-13.888)×(-14.361-32.514)=63
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
Residual_ENG 1.3 dp
24÷4=6
Fraction Examples
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
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
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
5/8-19/2÷1292/45=5/17
Limited 1.3 fp
805/566+4/11×385/8=5355/283
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
100/7-1/3÷7/993=-33/1
Complete 2.2 fn
-(3/44-141/11)÷51/56=14/1
Comparisons
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
Doted 3.4 dn
-343.387÷20.14 < 44.33÷2.6
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
-x2-6x+16=0
Quadratic 1.1 in
9x2=729
Quadratic 2.1 in
-4x2-8x=0
Quadratic 3.1 in
x2+2x-24=0
System 0.1 ip
y+x=15
System 1.2 ip
x-y=14
System 2.1 ip
4x÷4y=1
System 3.1 ip
4x+6y=100
Set 0.1 in
-x+y=20
Set 1.1 in
y+x=6
Set 2.1 in
-2y×19x=304
Set 3.1 in
-6y-4x=100
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
cal ulation
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
id ntify
Lexicon 1.5
enthu iastic [ebullient]
Lexicon 2.4
ab ent [gone]
Infinitive 1.3
misspeak misspoke [misspeak]
Infinitive 3.2
rebind [rebind]
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