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
920719-206513-124206=590000
Beginner 5.5 ip
956690-(928328-12477)=40839
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
-427576+192054=-235522
Conversant 2.1 in
8-5-2=1
Cognizant 0.3 ip
1520÷19=80
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
60÷(30÷10)÷2=10
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
22227×233=5178891
Divisor 1.3 ip
3311÷11=301
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
800+(4842-3742)×72=80000
Divisor_ENG 1.3 ip
9504÷22=432
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
8.4-0.4=8
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
2-1.7+8=8.3
Partitive 2.2 dp
15.2+50+4=69.2
Partitive 3.1 dp
2.2+(2+1.3)=5.5
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
6×1.1=6.6
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
890114-40114 > 305002+36972
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
10÷5 < -2×(-2)
Ceil 1.1 in
-3 > -10
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
73 > 64.9
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
(15+x)×2=30
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
-x-10=-10
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
986-19≈97
Round 0.2 ip
9002≈90
Round 0.3 ip
1117×107≈120
Round 1.3 ip
244144≈244
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
228÷3≈8
Round 3.2 ip
1004×8≈80
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
п ркет
English Vocabulary 1.3
interes
English Vocabulary 2.3
str ggle
Lexicon 1.3
stuf [matter]
Infinitive 2.1
outridden [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
-6-6=-12
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
10+(-9+1)=2
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
7-(-30+12)=25
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
(0-18)+(20+16)=18
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
8×125000÷2000=500
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
960÷3=320
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
5268×7432=39151776
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
7×10+72÷9=78
Intellect 3.1 in
-35-(92-77)÷5=-38
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
-5×(6÷3)×9=-90
Divisor_ENG 1.4 ip
11135÷17=655
Decimal Examples
Partitive 0.3 dp
38.6+(13.6+13.8)=66
Partitive 1.3 dp
1.07+25=26.07
Partitive 2.3 dp
0.88+53.43+11.69=66
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
17.8-(100-92.2)=10
Split 1.1 dn
1.4+3.9=5.3
Split 1.2 dn
5.9+73.4=79.3
Split 2.1 dn
0.6-4.8+5.1=0.9
Split 2.2 dn
68-45+70.8=93.8
Split 3.1 dn
7.3-(9-6)=4.3
Split 3.2 dn
-15.2+(-61-17.1)=-93.3
Residual 1.1 dp
60÷8=7.5
Divisional 1.2 dp
39.78÷2.25=17.68
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
82×0.01=0.82
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
1÷0.5+59.3=61.3
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
83×(20.5-19.8)÷41.5=1.4
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
89+50.4÷56-56.2=33.7
Residual_ENG 1.1 dp
18÷3=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
7/6+23/78=19/13
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
8/25+212/25-34/5=2/1
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
1/8-4/5-1/5=-7/8
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
Ceil 0.2 in
-80 < 60
Ceil 0.3 in
575+97 > -819+132
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
7-40 < -63+70
Ceil 2.3 in
-44+961 > 8+2
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
99.27 > 67.66
Point 1.3 dp
73.296 = 73.296
Point 1.4 dp
698.297 < 918.659
Point 2.2 dp
26.9+67.33 > 54.33-4.18
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
14.5×6.8 > 27×0.5
Point 3.2 dp
2.6×2.4 < 80×0.69
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
Doted 0.2 dn
-16.83-80.19 < 47.97-3.33
Doted 1.1 dn
-21.5 < 16
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
-79.74+53 < 79.43+3.57
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
Improper 0.2 fp
19/2÷190/89 = 13/15×267/52
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
46/5-1/5 > 1/2+7/38
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
Descent 1.1 fn
-6/7 < 2/5
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
x+720=0
Lineal 2.2 in
-58÷(-x)=2
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-10-x×6=-10
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-3×(7+x)=9
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
50.5×1.4≈71
Rounding 0.2 dp
3.63+27.94≈31.6
Rounding 1.2 dp
74.91≈74.9
Rounding 1.3 dp
11.246≈11.25
Rounding 2.2 dp
42.03-2.91≈39.1
Rounding 2.3 dp
98.601-0.651≈97.95
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
s bject
Lexicon 2.3
unf irly [unjustly]
Infinitive 1.2
let let [let]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
141-391=-250
Conversant 2.4 in
742+557-390=909
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
-509896-(160000+72654)=-742550
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
837+(-751-209)÷60=821
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-2×(-250)÷(-25)=-20
Logics 3.2 in
-350÷(-70÷14)=70
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
600-(45+555)=0
Split 0.3 dn
12+46=58
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-69.23+90.32-50.09=-29
Split 2.4 dn
-570.204+0+473.009=-97.195
Split 3.3 dn
-95.7-(-52.69+11.29)=-54.3
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
0.168÷0.014=12
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
1.375×17.92=24.64
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
0.8×0.75÷30=0.02
Denary 4.3 dp
0.8×0.5÷0.004=100
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
Denary 5.3 dp
(2.5×0.016)÷20=0.002
Definition 0.2 dp
79.23-31.25×0.64=59.23
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
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
48×0.1+1.6÷16=4.9
Negatory 0.2 dn
-21.28+41.6÷1.25=12
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
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
6998/159-5329/318=2889/106
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
Numerator 3.3 fp
32/85+(36/85+88831/940)=89583/940
Denominator 0.2 fn
4/3-17/2+2/3=-13/2
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
-53495/666+13/18=-26507/333
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
56/13×117/14=36/1
Fragment 1.3 fp
13/3×43/4=559/12
Fragment 2.2 fp
21/2÷35/2÷3/40=8/1
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
(8/9×27/8)÷99/23=23/33
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
35/4÷(34/5-43/10)=7/2
Limited 1.2 fp
122/13-1/2÷13/62=7/1
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
(-1/3-1/6)÷1/3=-3/2
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-5×(-96) < 848000÷4
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
280.564+165.62 = 730-283.816
Point 3.3 dp
0.88×6.6 > 17.4÷3
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
-28.96 < 60.864
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
310 > -487.701
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
912.177-165.665 > -198.215-296.362
Doted 3.3 dn
1.4×(-61.2) < -57.116×1.5
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
7/10 > 1/3
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
-14/17+167/17 > 1/2+49/6
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
наскво ь
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
est blish
English Vocabulary 2.4
rema ning
Lexicon 1.4
caref l [anxious]
Infinitive 2.2
shod [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-5067-264÷88=-5070
Intellect 1.3 in
1972×30-9155=50005
Intellect 2.3 in
-9273-1112×80÷40=-11497
Intellect 3.3 in
(800-1096)×(12+75)=-25752
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
-4×(-23)×(-65)=-5980
Logics 3.3 in
(-800÷(-25))÷(-4)=-8
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
8.96×25×0.05=11.2
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
867.991-24÷15.625=866.455
Definition 2.4 dp
92.16÷4-2×0.216=22.608
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
-758.262-36×0.39-27.698=-800
Negatory 3.3 dn
(-0.5-0.3)×(-23.533-1.967)=20.4
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
Residual_ENG 1.3 dp
98÷7=14
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
3/4×16/57+11/19=15/19
Limited 1.3 fp
1/8×3424/643-274/643=154/643
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
(-7/18-1/9)÷19/27=-27/38
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
Quadratic 0.1 in
-x2-6x+16=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-8x2+80x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
y-x=8
System 1.2 ip
x-y=14
System 2.1 ip
720x÷3y=800
System 3.1 ip
10y+2x=88
Set 0.1 in
9y-8x=-146
Set 1.1 in
x-y=-6
Set 2.1 in
-2y×2x=-400
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
s venteen
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
fought [fight]
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