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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
40000+955560=995560
 
Beginner 4.5 ip
863536-538372+354836=680000
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
522813-313961=208852
 
 
Cognizant 0.3 ip
9072÷14=648
 
Cognizant 4.3 ip
9856÷8÷2=616
 
Cognizant 5.3 ip
(1458÷27)÷2=27
 
Cognizant 6.3 ip
10×(69÷3)×10=2300
 
Remainder 1.3 ip
654÷100=6(54)
 
Multiplier 1.4 ip
50000×140=7000000
 
Divisor 1.3 ip
4800÷10=480
 
Numeracy 0.2 ip
510÷15+223=257
 
Numeracy 0.3 ip
4248+(4260-4228)÷16=4250
 
Numeracy 1.3 ip
7200÷16-250=200
 
Numeracy 2.3 ip
3528+81×32×16=45000
 
Numeracy 3.2 ip
(57+103)÷(770-754)=10
 
Numeracy 3.3 ip
676-69÷(3212-3143)=675
 
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
5.3+6.1-6=5.4
 
Partitive 2.2 dp
99-34-49=16
 
Partitive 3.1 dp
3.6+(8.9-8.7)=3.8
 
Partitive 3.2 dp
22.1+(76.9-19.9)=79.1
 
Divisional 1.1 dp
3.6÷7.2=0.5
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
7.6÷1.9=4
 
Denary 3.1 dp
18.4÷2=9.2
 
Fraction Examples
 
 
Numerator 1.1 fp
1/4+3/4=1/1
Comparisons
 
 
Natural 0.4 ip
522270 > 22777
 
Natural 3.4 ip
499904÷214 > 3×64
 
Ceil 0.1 in
0+10 > -9+10
 
 
Ceil 2.1 in
-1-7 < -0+10
 
Ceil 3.1 in
-4×2 < -3×2
 
Point 1.1 dp
48.7 > 44.5
 
Point 2.1 dp
80.9-60.7 < 34.9+47.9
 
 
Improper 1.2 fp
308/61 < 83/10
 
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
 
 
 
Linear 0.3 ip
x×90=630
 
Linear 3.3 ip
62×x-326=294
 
Linear 4.2 ip
2×(x+16)=52
 
Linear 4.3 ip
50×(8+x)=900
 
Lineal 1.1 in
-x-10=-10
 
Lineal 2.1 in
-3×(-x)=-9
Rounding
 
 
 
Rounding 2.1 dp
6.9+38.1≈45
 
Round 0.1 ip
510-333≈18
 
Round 0.2 ip
6598÷2≈33
 
Round 0.3 ip
252375+432481≈685
 
Round 1.3 ip
240839≈241
 
Round 2.2 ip
6143-1716≈44
 
Round 2.3 ip
999997-486≈1000
 
Round 3.1 ip
820÷4≈21
 
Round 3.2 ip
2×1220≈24
 
Round 3.3 ip
378160÷580≈1
Language Exercises
 
 
Russian Vocabulary 1.4
проц дура
 
 
 
 
 
Lexicon 1.3
pr per [correct]
 
Infinitive 2.1
            laid [lay]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-6-(17-3)=-20
 
Conversant 0.3 in
(41-7)-(19-40)=55
 
 
 
 
 
 
Conversant 3.2 in
3+(-15+9)=-3
 
Conversant 3.3 in
-3-(-11+100)=-92
 
Conversant 4.1 in
-(10+10)+(4+9)=-7
 
Conversant 4.2 in
-(16+2)-(4-2)=-20
 
Conversant 4.3 in
-(40+20)-(52-12)=-100
 
Cognizant 0.4 ip
8×125000÷2000=500
 
Cognizant 1.4 ip
247×239=59033
 
Cognizant 2.4 ip
340000÷200=1700
 
Cognizant 3.4 ip
17440÷10=1744
 
Cognizant 4.4 ip
1584÷528×511=1533
 
Cognizant 5.4 ip
(150000÷20)÷25=300
 
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
 
Multiplier 1.5 ip
4130×4059=16763670
 
Divisor 1.4 ip
11473÷11=1043
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
-96÷6-40=-56
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
65+21÷(26-5)=66
 
Logics 0.1 in
80÷(-5)=-16
 
Logics 1.1 in
-66÷(-6)=11
 
Logics 2.1 in
-80÷4÷(-2)=10
 
Logics 3.1 in
(-42÷(-7))×(-10)=-60
 
Logics 4.1 in
64÷(-2×4)÷4=-2
 
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
 
 
Partitive 0.3 dp
1.18+13.67+21.89=36.74
 
Partitive 1.3 dp
8.6+48.12=56.72
 
Partitive 2.3 dp
63.13-32.42-11=19.71
 
Partitive 3.3 dp
65-(50+10.22)=4.78
 
Split 0.1 dn
2-9.3=-7.3
 
Split 0.2 dn
42+40.5=82.5
 
Split 1.1 dn
3.4+5.9=9.3
 
Split 1.2 dn
51+45=96
 
Split 2.1 dn
-1.5-1.5-7=-10
 
Split 2.2 dn
33.7+11-68.6=-23.9
 
Split 3.1 dn
0.8+(1-9.7)=-7.9
 
Split 3.2 dn
10+(28-85.7)=-47.7
 
 
Divisional 1.2 dp
80.64÷4.2=19.2
 
Denary 0.1 dp
5×2.3=11.5
 
Denary 1.2 dp
0.6×30=18
 
Denary 2.2 dp
11.2÷70=0.16
 
Denary 3.2 dp
13.8÷60=0.23
 
Denary 4.1 dp
9×2.8÷7.2=3.5
 
Denary 5.1 dp
(9×0.1)÷3=0.3
 
Definition 0.1 dp
64.1+3×2.4=71.3
 
Definition 1.1 dp
30.4+3.6÷9=30.8
 
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
 
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
 
Negatory 1.1 dn
-8.5×5-45.5=-88
 
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
 
 
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
 
 
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
1/11+53/22=5/2
 
Numerator 2.1 fp
1/3+1/6+1/4=3/4
 
Numerator 2.2 fp
43/9+5/9+2/3=6/1
 
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
 
Numerator 3.2 fp
2/3+(25/3-13/20)=167/20
 
Denominator 0.1 fn
1/3+2/3-2/3=1/3
 
Denominator 1.1 fn
-4/5+7/10=-1/10
 
Denominator 2.1 fn
1/5+3/10+1/2=1/1
 
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
 
Fragment 1.1 fp
1/3÷2/5=5/6
 
Fragment 1.2 fp
3/2×569/30=569/20
 
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
 
 
Reduction 1.2 fp
5895/165=393/11
 
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
 
 
Ceil 0.2 in
-30+60 > -30+40
 
Ceil 0.3 in
-441+457 = -634+650
 
Ceil 1.2 in
-61 < 86
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
-4+57 > 24+13
 
Ceil 2.3 in
910-282 > -391-339
 
Ceil 3.2 in
36÷(-3) > -2×50
 
Ceil 3.3 in
-7×30 < -860÷(-4)
 
Point 0.1 dp
12.5×7.2 > 13×6.4
 
Point 0.2 dp
7.25 = 7.25
 
Point 1.2 dp
79.15 > 74
 
Point 1.3 dp
41.862 > 12.645
 
Point 1.4 dp
190.863 < 436.083
 
Point 2.2 dp
1.2+85.77 > 93.05-6.1
 
Point 2.3 dp
26.216+17.634 > 0.628+2.002
 
Point 3.1 dp
67.6÷4 < 73.1÷4.3
 
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
 
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
 
Doted 0.2 dn
-60÷(-2) > 1.2×2
 
Doted 1.1 dn
96.6 > 45.6
 
Doted 1.2 dn
-32.03 < 10
 
Doted 2.1 dn
40.8+50 > -74.7-16
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
 
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
 
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
 
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
 
Improper 1.3 fp
1703/128 > 71/352
 
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
 
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
 
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
 
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
 
Descent 1.1 fn
-2/7 < 2/7
 
Descent 1.2 fn
9/8 > -1/4
 
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
 
 
Lineal 0.1 in
3×(-x-8)=0
 
Lineal 0.2 in
56÷(x+78)=7
 
 
 
 
Lineal 2.3 in
-760÷x=76
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
-(x-5)×2=-10
 
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
 
 
 
Rounding 0.2 dp
9.41×9.25≈87
 
Rounding 1.2 dp
82.78≈82.8
 
Rounding 1.3 dp
52.701≈52.7
 
Rounding 2.2 dp
52.06+0.95≈53
 
Rounding 2.3 dp
43.163+9.338≈52.5
 
Rounding 3.1 dp
68.8÷3≈23
 
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
al rming [anxious]
 
Infinitive 1.2
unbind unbound       [unbind]
 
Infinitive 3.1
tread             [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-74-280+927=573
 
Conversant 0.5 in
388273+(993690-733140)=648823
 
Conversant 1.4 in
161-770=-609
 
Conversant 2.4 in
130+940-775=295
 
Conversant 2.5 in
-766312+774055-939583=-931840
 
Conversant 3.4 in
760-(-61+971)=-150
 
Conversant 3.5 in
-61635+(-915317+616952)=-360000
 
Conversant 4.4 in
-(695-404)+(581-440)=-150
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
400000÷400=1000
 
Intellect 0.2 in
(292-232)÷(11+19)=2
 
Intellect 1.2 in
503-300÷100=500
 
Intellect 2.2 in
353-10×18×4=-367
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
-528÷(-16)×13=429
 
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
2×(30×(-8))=-480
 
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
 
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
 
 
Partitive 0.4 dp
565.197+232.946=798.143
 
Partitive 1.4 dp
437.208+312.792=750
 
Partitive 2.4 dp
100+282.387-273.755=108.632
 
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
 
Split 0.3 dn
-91.18+66.3-55.12=-80
 
Split 0.4 dn
-261.085+(-244.625+975.71)=470
 
Split 1.3 dn
78.85-64.55=14.3
 
Split 1.4 dn
161.045-911.045=-750
 
Split 2.3 dn
-11.75-31.43+97.77=54.59
 
Split 2.4 dn
161.485+456.497-517.982=100
 
Split 3.3 dn
-1.78-(12.26+28.06)=-42.1
 
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
 
Residual 1.2 dp
58÷40=1.45
 
Divisional 1.3 dp
22.08÷0.3=73.6
 
Denary 0.2 dp
3.75×0.04=0.15
 
Denary 0.3 dp
12.1÷100=0.121
 
Denary 1.3 dp
0.64×0.1=0.064
 
Denary 2.3 dp
1.125÷3=0.375
 
Denary 3.3 dp
1.1×0.04=0.044
 
Denary 4.2 dp
1.2÷40×70=2.1
 
Denary 4.3 dp
66×0.176÷0.704=16.5
 
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
 
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
 
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
 
Definition 1.2 dp
90.37-12.5×1.6=70.37
 
Definition 1.3 dp
1.445÷10.625+61.473=61.609
 
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
 
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
 
Definition 3.2 dp
66.38-1.43÷(0.66+1.54)=65.73
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
56.77+3×10.4=87.97
 
Negatory 1.2 dn
-10.5×2-21.74=-42.74
 
Negatory 1.3 dn
38.042+0.54×52=66.122
 
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
 
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
 
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
 
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
 
 
Fraction Examples
 
 
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
 
Numerator 1.3 fp
1592/17-1575/17=1/1
 
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
 
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
 
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
 
Denominator 1.2 fn
8/13-112/13=-8/1
 
Denominator 1.3 fn
41/390+17/78=21/65
 
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
 
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
 
Fragment 0.1 fp
1/5÷1/10=2/1
 
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
 
Fragment 1.3 fp
1/5×408/5=408/25
 
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
 
Fragment 2.3 fp
19/2÷19/98×17/49=17/1
 
Fragment 3.1 fp
44/5×(1/5×15/4)=33/5
 
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
 
Reduction 1.3 fp
2112/3504=44/73
 
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
 
Limited 1.2 fp
609/13×44/87-87/13=17/1
 
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
 
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
 
Complete 1.1 fn
39/7+16/5÷7/4=37/5
 
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
 
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
 
 
Ceil 0.4 in
-705664+930000 > 734380-575380
 
Ceil 1.4 in
98995 > -943987
 
Ceil 2.4 in
-410000-51370 > -287597-173825
 
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
 
Point 0.3 dp
46.453-6.383 > 48.731-8.667
 
Point 0.4 dp
914.147 > 914.141
 
Point 2.4 dp
602.613-85.287 < 694.791-76.789
 
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
 
Point 3.4 dp
954.085÷10.043 > 26×2.53
 
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
 
Doted 1.3 dn
-15 < 100
 
Doted 1.4 dn
546.477 < 635.778
 
Doted 2.3 dn
-35.498-23.502 < -3-23.002
 
Doted 2.4 dn
-608.343+941.567 < 43+534.115
 
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
 
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
 
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
 
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
 
Descent 0.2 fn
-5/1 < -7/8
 
Descent 1.3 fn
-11384/127 < 623/9
 
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
 
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
 
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
 
 
Lineal 0.3 in
x×44+770=110
 
Lineal 3.3 in
29-767÷x=88
 
Lineal 4.3 in
(x-964)×95=570
 
Rounding
 
 
Rounding 0.3 dp
98.547≈98.55
 
Rounding 3.3 dp
16×5≈80
Language Exercises
 
 
Russian Vocabulary 1.5
акклим тизация
 
 
 
 
Lexicon 1.4
h ndredth [centesimal]
 
Infinitive 2.2
retake             [retake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(10000-4900)÷(144+60)=25
 
Intellect 1.3 in
140+2304÷24=236
 
Intellect 2.3 in
-4070+51842÷23÷49=-4024
 
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
 
Logics 0.3 in
10000÷10÷(-25×(-4))=10
 
Logics 1.3 in
72×(-90)=-6480
 
Logics 2.3 in
-15×500÷(-2)=3750
 
Logics 3.3 in
1260÷(5×(-7))=-36
 
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
 
 
Residual 1.3 dp
54÷40=1.35
 
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
 
Denary 1.4 dp
23×0.002=0.046
 
Denary 2.4 dp
7.176÷2.4=2.99
 
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
(937.476÷156.246)×8.316=49.896
 
Definition 0.3 dp
72.842-1.28×15.625=52.842
 
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
 
Definition 1.4 dp
38×14.4-122.13=425.07
 
Definition 2.4 dp
936.92+2.7÷2.4-400=538.045
 
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
 
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
 
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
 
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
 
Negatory 1.4 dn
100÷12.5-435.267=-427.267
 
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
-846.352+(108.508+57.372)÷2.5=-780
 
Fraction Examples
 
 
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
 
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
 
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
 
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
 
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
 
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
 
Limited 1.3 fp
25/116-18/29÷696/35=155/841
 
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
 
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
 
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
 
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
 
 
Doted 0.4 dn
-1000 < 520
 
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
 
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
 
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
 
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
 
 
 
 
 
 
System 0.1 ip
80y÷10x=8
 
 
System 2.1 ip
28y÷7x=10
 
System 3.1 ip
4x+6y=100
 
Set 0.1 in
2x×y=160
 
 
Set 2.1 in
-20y÷5x=1
 
Set 3.1 in
7x-10y=140
Language Exercises
 
 
Russian Vocabulary 2.5
п лицмейстер
 
 
 
 
Lexicon 1.5
unempl yment [joblessness]
 
Lexicon 2.4
m ntally [intellectually]
 
Infinitive 1.3
hit hit       [hit]
 
Infinitive 3.2
awake             [awake]

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