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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
10000+(495252+24826)=530078
 
Beginner 4.5 ip
920719-206513-124206=590000
 
Beginner 5.5 ip
956690-(928328-12477)=40839
 
 
Conversant 1.5 in
-427576+192054=-235522
 
 
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
 
 
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
 
Decimal Examples
 
 
 
Partitive 0.2 dp
44.5-2=42.5
 
 
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
 
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 1.2 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 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
 
 
 
 
 
Lexicon 1.3
stuf  [matter]
 
Infinitive 2.1
            outridden [outride]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-(1-0)-(1-7)=5
 
 
 
 
 
Conversant 2.3 in
-36+82+18=64
 
 
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 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 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
 
 
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
 
 
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 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
 
 
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 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
 
 
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
 
 
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
 
 
 
Lineal 3.3 in
-440-x÷2=-493
 
Lineal 4.3 in
-160×(-675+x)=-800
 
Rounding
 
 
Rounding 0.3 dp
38.306-18.454≈19.85
 
Rounding 3.3 dp
16×5≈80
Language Exercises
 
 
Russian Vocabulary 1.5
наскво ь
 
Russian Vocabulary 3.4
иллюм нация
 
 
 
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
 
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 3.1 in
-2x2-8x-8=0
 
 
 
System 2.1 ip
720x÷3y=800
 
System 3.1 ip
10y+2x=88
 
Set 0.1 in
9y-8x=-146
 
 
Set 2.1 in
-2y×2x=-400
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
Russian Vocabulary 2.5
циф рблат
 
 
 
 
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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