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
854257-584457=269800
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
26×10×(32÷2)=4160
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
(50÷10)×500=2500
Cognizant 6.3 ip
19×(26×40)÷2=9880
Remainder 1.3 ip
910÷100=9(10)
Multiplier 1.4 ip
4600×500=2300000
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
3565÷31=115
Remainder_ENG 1.3 ip
96÷3=32
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
27.3-(47.1-46)=26.2
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
6×6.6=39.6
Denary 2.1 dp
62.7÷2.2=28.5
Denary 3.1 dp
18.4÷2=9.2
Divisional_ENG 1.1 dp
9.6÷2.4=4
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
729615÷127 < 288×75
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
97/11 > 7/4
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
23+x=697
Linear 3.3 ip
119+930÷x=150
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
529≈53
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
844542≈845
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
388504+12707≈401
Round 3.1 ip
3×295≈89
Round 3.2 ip
1117×5≈56
Round 3.3 ip
153401×3≈460
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
non ense
English Vocabulary 2.3
st ff
English Vocabulary 3.2
fr end
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
laid [lay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-18+3=-15
Conversant 0.3 in
-60+10=-50
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
-18+29-37=-26
Conversant 3.1 in
-4+(-3-3)=-10
Conversant 3.2 in
-5+(-19+6)=-18
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
(37+20)-(43-19)=33
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
430×220=94600
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(250000÷5)÷250=200
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
-20-96÷6÷8=-22
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-60+20÷(17-15)=-50
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
-48÷(-2)÷4=6
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
-4×(2×6)÷3=-16
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
Partitive 0.3 dp
10.97-(10-7.29)=8.26
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
17.8-(100-92.2)=10
Split 1.1 dn
2.2+6.8=9
Split 1.2 dn
6-69=-63
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
-45.3-30-10=-85.3
Split 3.1 dn
5-(5.1-4.5)=4.4
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
34÷10=3.4
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
2.24÷1.75=1.28
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
81÷0.9÷37.5=2.4
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
93.7+1.5÷3÷0.5=94.7
Definition 1.1 dp
0.8÷0.5+21.7=23.3
Definition 2.1 dp
17.6÷4+4×1.7=11.2
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
11÷5=2.2
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
5/8+1/4=7/8
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
189/29-182/29=7/29
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
1/4+(1/8+5/8)=1/1
Numerator 3.2 fp
266/29-(47/29-13/29)=8/1
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
1/3-1/6=1/6
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
Fragment 1.1 fp
42/5÷21/5=2/1
Fragment 1.2 fp
112/9÷14/45=40/1
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
480/16=30/1
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
Ceil 0.2 in
2+4 > -31+25
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
-61 < 86
Ceil 1.3 in
-809 < 610
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
-44+961 > 8+2
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
13+55.3 > 45-1.4
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
58-57.25 < 82.09-65.09
Point 2.3 dp
92-90.378 = 0.592+1.03
Point 3.1 dp
99÷11 > 0.8×2.5
Point 3.2 dp
2.6×2.4 < 80×0.69
Doted 0.1 dn
7.4-47.6 < 91-26.4
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
6.4×13.5 > 6×12.8
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
10/7+33/70 < 16/19+433/95
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
20/41 > -8/19
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
81-x=21
Lineal 1.2 in
-1+x=49
Lineal 1.3 in
-104+x=854
Lineal 2.2 in
x×(-8)=-80
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-3×(-x+3)=-9
Lineal 4.2 in
6×(41-x)=-54
Rounding
Rounding 0.1 dp
88÷63≈1
Rounding 0.2 dp
9.41×9.25≈87
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
37.997≈38
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
21.5×1.5≈32
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
se ing
Lexicon 2.3
unf irly [unjustly]
Infinitive 1.2
teach taught [teach]
Infinitive 3.1
sworn [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
303217-(0-660000)=963217
Conversant 1.4 in
-110-610=-720
Conversant 2.4 in
-543-917+552=-908
Conversant 2.5 in
-987259+785779-38520=-240000
Conversant 3.4 in
61+(946-869)=138
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
(50+199)-(544-575)=280
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
397+32÷2=413
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
837+(-751-209)÷60=821
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
3×(-17)=-51
Logics 2.2 in
-720÷2÷3=-120
Logics 3.2 in
-4×(5×5)=-100
Logics 4.2 in
25×4×(-30÷10)=-300
Divisor_ENG 1.5 ip
5488428÷132=41579
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
437.208+312.792=750
Partitive 2.4 dp
540.918-322.772+781.854=1000
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-9.54-80.12-0.34=-90
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
-24+(34.16-6.61)=3.55
Split 3.4 dn
376.109+(-347.033-329.076)=-300
Residual 1.2 dp
99÷30=3.3
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
9.6×0.5×12.5=60
Denary 0.3 dp
5.5×0.046=0.253
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
86.4÷60=1.44
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
1.2÷40×70=2.1
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
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
37.5+18×1.2=59.1
Definition 2.2 dp
34.12+72.6×0.75÷2.25=58.32
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
60÷(-0.5-0.3)÷50=-1.5
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
21.6÷24-93.04=-92.14
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
-6+0.5×10.24×18.75=90
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
5/33+17/33=2/3
Denominator 1.3 fn
3/4+3784/71=15349/284
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
Fragment 1.3 fp
61/2÷244/77=77/8
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
158/5×20/79÷40/37=37/5
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
Limited 1.2 fp
2/3÷8/39+463/84=184/21
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
5/9×(4/5-39/5)=-35/9
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
(1/3+29/3)×3/4=15/2
Comparisons
Ceil 0.4 in
966400÷4 > -8×(-3)
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-5×(-96) < 848000÷4
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
200 > 117.366
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-96.706 < 88
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
Doted 2.4 dn
-608.343+941.567 < 43+534.115
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
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
7/10 > 1/3
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
-2/3×(-1/3) > -1/2÷9/10
Descent 3.2 fn
-2/5÷8/97 < -92/11÷23/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
rema ning
Lexicon 1.4
basi [main]
Infinitive 2.2
wake [wake]
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
-252÷18-1080÷90=-26
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
5600÷(-5)÷2=-560
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
4×(-750)÷15=-200
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
7424÷(4×4)÷16=29
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
6.72×1.25=8.4
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
828×0.002=1.656
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
Definition 1.4 dp
151.19+205.92÷0.88=385.19
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
Definition 3.3 dp
4.8÷(11.725-9.325)×5.304=10.608
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
-103.36÷16+873.055=866.595
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
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
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
97/64×(2/11-354/11)=-97/2
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
-8879/103+250/3 < -1/3-131/57
Descent 3.3 fn
25/2×(-231/130) > 18/19÷(-9/893)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
-5x2+10x=0
Quadratic 3.1 in
-x2+6x-5=0
System 0.1 ip
13x÷y=13
System 1.2 ip
x-y=55
System 2.1 ip
2y×8x=576
System 3.1 ip
7y+7x=84
Set 0.1 in
-x+y=13
Set 1.1 in
x-y=-6
Set 2.1 in
-6y÷9x=1
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
commis ion
English Vocabulary 2.5
surro ndings
English Vocabulary 3.4
borro
Lexicon 1.5
inter retation [exposition]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
redo redone [redo]
Infinitive 3.2
sow [sow]
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