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
259242+(953998-698000)=515240
Beginner 4.5 ip
830000-419071+290692=701621
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-2+1=-1
Conversant 1.5 in
880000-442636=437364
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
(80×125)÷5=2000
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
271÷87=3(10)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
7505÷79=95
Numeracy 0.2 ip
(39+10)×(10+9)=931
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
142×33-100=4586
Numeracy 2.3 ip
3400-360÷12-428=2942
Numeracy 3.2 ip
(57+103)÷(770-754)=10
Numeracy 3.3 ip
2692+2208÷(115+161)=2700
Divisor_ENG 1.3 ip
6750÷75=90
Remainder_ENG 1.3 ip
238÷24=9(22)
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
33.6+13+53.4=100
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
2+(6.6-0.2)=8.4
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
31.6÷4=7.9
Denary 3.1 dp
3.6×4=14.4
Divisional_ENG 1.1 dp
3.2÷2=1.6
Fraction Examples
Numerator 1.1 fp
7/10-3/10=2/5
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
-2 < 7
Ceil 2.1 in
10-5 > 10-9
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
32.8 < 58
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
390-x=0
Linear 3.3 ip
x×10+20=830
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
15×27≈41
Round 0.2 ip
4×2234≈89
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
674799≈675
Round 2.2 ip
4031-2010≈20
Round 2.3 ip
388504+12707≈401
Round 3.1 ip
516÷2≈26
Round 3.2 ip
1117×5≈56
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
п рила
English Vocabulary 1.3
perate
English Vocabulary 2.3
w rship
English Vocabulary 3.2
m ving
Lexicon 1.3
loca ion [place]
Infinitive 2.1
miscast [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(5-10)-(1+4)=-10
Conversant 0.2 in
12+(8-4)=16
Conversant 0.3 in
-30+(-93+73)=-50
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
74-74=0
Conversant 2.2 in
14-20-4=-10
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
-(20-0)+(9+10)=-1
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
8×125000÷2000=500
Cognizant 1.4 ip
982×594=583308
Cognizant 2.4 ip
320970÷390=823
Cognizant 3.4 ip
551×200=110200
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
(150000÷20)÷25=300
Cognizant 6.4 ip
2×(4×5)×50=2000
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
95559÷53=1803
Intellect 0.1 in
14+90÷3÷3=24
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
28-69÷23-95=-70
Intellect 3.1 in
26+(74-82)×2=10
Logics 0.1 in
3×(-7)=-21
Logics 1.1 in
2×(-9)=-18
Logics 2.1 in
-9×(-2)×2=36
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
53.34+23.66=77
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
-4.3+10-7.2=-1.5
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
1.4+3.9=5.3
Split 1.2 dn
18.8-93.8=-75
Split 2.1 dn
1.9+2.6-4.7=-0.2
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
-5.2-(0.9-4.3)=-1.8
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
49.5×0.1=4.95
Denary 2.2 dp
46.08÷1.44=32
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
1.5÷5×94=28.2
Denary 5.1 dp
1.6×(5×0.1)=0.8
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
83×(20.5-19.8)÷41.5=1.4
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
-81.2÷5.8-1.2×5=-20
Residual_ENG 1.1 dp
40÷2=20
Divisional_ENG 1.2 dp
0.52÷2=0.26
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
167/18-67/90=128/15
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
21/4÷3/2=7/2
Fragment 1.2 fp
32/25×95/16=38/5
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
39/6=13/2
Reduction 1.2 fp
8300/580=415/29
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
15÷(-5) > -40÷10
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
42 > -21
Ceil 1.3 in
678 > -681
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
36 > 25.4
Point 0.2 dp
41.62-2.87 < 8.3+66.62
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
570 < 697.732
Point 2.2 dp
46-9 < 60-22.33
Point 2.3 dp
92-90.378 = 0.592+1.03
Point 3.1 dp
34.5×2 > 97.2÷8.1
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
-77.16 < 89
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
97.11 = 97.11
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
Improper 1.3 fp
132/361 < 8109/722
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
367/50 > -503/70
Descent 2.1 fn
-1/2+1/1 > -1/4-1/4
Equations
Lineal 0.1 in
2×(-1+x)=-8
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
99-x=1
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
2×x=-94
Lineal 2.3 in
x×31=806
Lineal 3.1 in
-10-x×6=-10
Lineal 3.2 in
-1+x×8=-1
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
9.41×9.25≈87
Rounding 1.2 dp
0.66≈0.7
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
7.21+28.36≈35.6
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
54.1×1.2≈65
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
карт тека
English Vocabulary 3.3
pea eful
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
overspill overspilt [overspill]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
181625-(-153365-643000)=977990
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
400000÷400=1000
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
320÷(16÷2)÷10=4
Logics 1.2 in
-88÷11=-8
Logics 2.2 in
5×(-10)÷2=-25
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
Divisor_ENG 1.5 ip
6106903÷473=12911
Decimal Examples
Partitive 0.4 dp
93.016+363.889-433.397=23.508
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
78.2+11.8=90
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
84.22-90-39.26=-45.04
Split 2.4 dn
23.835-253.278+394.52=165.077
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
20÷5=4
Divisional 1.3 dp
7.616÷0.112=68
Denary 0.2 dp
3.75×4=15
Denary 0.3 dp
0.8×3.78=3.024
Denary 1.3 dp
6.075×5.12=31.104
Denary 2.3 dp
61.425÷39=1.575
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
1.6×(6.25×4)=40
Denary 5.3 dp
(0.8÷0.016)÷5=10
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
Definition 3.2 dp
98.09-(38.79+1.53)÷1.5=71.21
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
20÷12.5+24.46=26.06
Negatory 1.3 dn
77-43.2÷3=62.6
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
Negatory 3.1 dn
-86.9+81÷(67-75.1)=-96.9
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
Numerator 0.3 fp
227/3-2/3-118/3=107/3
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
2/3×1/4=1/6
Fragment 0.2 fp
56/13×117/14=36/1
Fragment 1.3 fp
17/7÷17/28=4/1
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
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
90/132=15/22
Limited 0.1 fp
(3/5+7/5)÷8/3=3/4
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
1/2×(39/4-7/4)=4/1
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
849.473-523.69 < 465.375+99.75
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
-28.96 < 60.864
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
-890.483 < 890.478
Doted 2.3 dn
-13.362-2.149 > -95.098+79.575
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
43/11-290/77 > 19/2-139/14
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Lineal 0.3 in
x×44+770=110
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-(x+467)×88=704
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
бук нист
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
excl ding
Lexicon 1.4
basi [main]
Infinitive 2.2
hang [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
3121-168÷8=3100
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
500÷(4×5)×100=2500
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
(-5×(-50))÷(-2)=-125
Logics 4.3 in
-81×(-3×(-28))÷14=-486
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
66.066÷9.75=6.776
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
77.76÷0.6-111.589=18.011
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-35+(68.311-56.075)÷4=-31.941
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
673.92÷6.5+124.249=227.929
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
3.85×(970-967)×0.16=1.848
Residual_ENG 1.3 dp
17÷40=0.425
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
1/6÷(1/4+1/4)=1/3
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
-17.64×16 < 12.5×(-20)
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
x2-5x=0
Quadratic 1.1 in
2x2=0
Quadratic 2.1 in
-4x2-8x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=0
System 2.1 ip
7y×x=280
System 3.1 ip
3y-2x=7
Set 0.1 in
-102y÷6x=34
Set 1.1 in
y-x=1
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
del berately
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
g ther
Lexicon 1.5
commer ial [trading]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
win won [win]
Infinitive 3.2
bent [bend]
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