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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 1.5 in
880000-442636=437364
 
 
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
 
 
Decimal Examples
 
 
 
Partitive 0.2 dp
33.6+13+53.4=100
 
 
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
 
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 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 1.2 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 3.3 ip
x×10+20=830
 
Linear 4.2 ip
(x+5)×5=30
 
Linear 4.3 ip
(5+x)×148=740
 
 
Rounding
 
 
 
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
 
 
 
 
 
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 0.3 in
-30+(-93+73)=-50
 
 
 
 
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
 
 
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 1.2 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 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
 
 
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
 
 
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
 
 
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
 
Rounding
 
 
Rounding 0.3 dp
56.862-14.962≈41.9
 
Rounding 3.3 dp
100÷1.25≈80
Language Exercises
 
 
Russian Vocabulary 1.5
бук нист
 
Russian Vocabulary 3.4
к рректный
 
 
 
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
 
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 3.1 in
-x2+6x+16=0
 
 
 
System 2.1 ip
7y×x=280
 
 
Set 0.1 in
-102y÷6x=34
 
 
Set 2.1 in
-11x÷y=-11
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
Russian Vocabulary 2.5
в ттметр
 
 
 
 
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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