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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
957514-57514=900000
 
Beginner 4.5 ip
912490-226129-86884=599477
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
522813-313961=208852
 
 
Cognizant 0.3 ip
8900÷100=89
 
Cognizant 4.3 ip
3584÷8÷2=224
 
Cognizant 5.3 ip
31×(60×2)=3720
 
Cognizant 6.3 ip
4×3×(23×11)=3036
 
Remainder 1.3 ip
1000÷29=34(14)
 
Multiplier 1.4 ip
11125×800=8900000
 
Divisor 1.3 ip
7505÷79=95
 
Numeracy 0.2 ip
510÷15+223=257
 
Numeracy 0.3 ip
4704÷28+2280÷760=171
 
Numeracy 1.3 ip
3200+44×140=9360
 
Numeracy 2.3 ip
6154-21×93-200=4001
 
Numeracy 3.2 ip
980-(10+15)×32=180
 
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
 
Divisor_ENG 1.3 ip
9504÷22=432
 
Decimal Examples
 
 
Partitive 0.1 dp
0+(4.7+0.8)=5.5
 
Partitive 0.2 dp
44.5-2=42.5
 
Partitive 1.1 dp
5.4+4.4=9.8
 
Partitive 1.2 dp
92.8-7.5=85.3
 
Partitive 2.1 dp
5.1+6.2-7.3=4
 
Partitive 2.2 dp
17.4+2+58.6=78
 
Partitive 3.1 dp
5.7+(4-4)=5.7
 
Partitive 3.2 dp
20.5-(26.9-7.1)=0.7
 
Divisional 1.1 dp
5.7÷1.5=3.8
 
Denary 1.1 dp
0.6×60=36
 
Denary 2.1 dp
7.2÷1.8=4
 
Denary 3.1 dp
1.4×2.5=3.5
 
Divisional_ENG 1.1 dp
23.4÷0.4=58.5
Fraction Examples
 
 
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
 
 
Natural 0.4 ip
212400÷59 < 697527÷51
 
Natural 3.4 ip
119800÷100 < 403155÷9
 
Ceil 0.1 in
0+10 > -9+10
 
 
Ceil 2.1 in
4+5 < 6+4
 
Ceil 3.1 in
8÷4 < 8÷2
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
85.7-74.3 < 11+2.2
 
 
Improper 1.2 fp
454/61 < 25/3
 
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
 
 
Linear 0.2 ip
x+47=47
 
Linear 0.3 ip
45×(14+x)=720
 
Linear 3.3 ip
119+930÷x=150
 
Linear 4.2 ip
(x-94)×16=96
 
Linear 4.3 ip
52×(x+9)=936
 
 
Rounding
 
 
 
Rounding 2.1 dp
41.4+28.7≈70
 
Round 0.1 ip
97+168≈27
 
Round 0.2 ip
5578÷2≈28
 
Round 0.3 ip
1117×107≈120
 
Round 1.3 ip
844542≈845
 
Round 2.2 ip
343+5120≈55
 
Round 2.3 ip
220000+66769≈287
 
Round 3.1 ip
11×91≈100
 
Round 3.2 ip
3×985≈30
 
Round 3.3 ip
153290×5≈766
Language Exercises
 
 
Russian Vocabulary 1.4
проц дура
 
Russian Vocabulary 3.3
исч зать
 
 
 
 
Lexicon 1.3
fo rteenth [count]
 
Infinitive 2.1
            taken [take]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
(5-10)-(1+4)=-10
 
Conversant 0.2 in
-(0+6)+(9+15)=18
 
Conversant 0.3 in
(98-74)+(5+17)=46
 
 
 
Conversant 2.2 in
-11+19-19=-11
 
 
Conversant 3.1 in
-4+(-3-3)=-10
 
Conversant 3.2 in
4+(-5-10)=-11
 
Conversant 3.3 in
63-(40+73)=-50
 
Conversant 4.1 in
-(9-7)-(7-1)=-8
 
Conversant 4.2 in
(12+6)-(19-20)=19
 
Conversant 4.3 in
-(50-68)-(67+38)=-87
 
Cognizant 0.4 ip
7560÷42=180
 
Cognizant 1.4 ip
788×777=612276
 
Cognizant 2.4 ip
320970÷390=823
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
144×625÷9=10000
 
Cognizant 5.4 ip
70000÷(26250÷75)=200
 
Cognizant 6.4 ip
320×(25×25)÷4=50000
 
Multiplier 1.5 ip
51004×1300=66305200
 
Divisor 1.4 ip
22400÷32=700
 
Intellect 0.1 in
90÷2-76=-31
 
Intellect 1.1 in
-24×2-35=-83
 
Intellect 2.1 in
34÷17-60÷6=-8
 
Intellect 3.1 in
(9+3)×(5+2)=84
 
Logics 0.1 in
80÷(-5)=-16
 
Logics 1.1 in
-50÷5=-10
 
Logics 2.1 in
-12÷(-2)×5=30
 
Logics 3.1 in
-90÷(-2×9)=5
 
Logics 4.1 in
10×(-3)÷(5×(-2))=3
 
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
 
 
Partitive 0.3 dp
1.18+13.67+21.89=36.74
 
Partitive 1.3 dp
53.34+23.66=77
 
Partitive 2.3 dp
32+27.54-23.4=36.14
 
Partitive 3.3 dp
81.49+(73-57.47)=97.02
 
Split 0.1 dn
-5.2-1.6=-6.8
 
Split 0.2 dn
2.5-(-61.3-32)=95.8
 
Split 1.1 dn
4.9+1.9=6.8
 
Split 1.2 dn
-70.3+69.8=-0.5
 
Split 2.1 dn
9-9+10=10
 
Split 2.2 dn
-69.5+99.4-60.7=-30.8
 
Split 3.1 dn
2.9-(-1.8+3)=1.7
 
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
 
Residual 1.1 dp
27÷2=13.5
 
Divisional 1.2 dp
10.4÷26=0.4
 
Denary 0.1 dp
5×2.3=11.5
 
Denary 1.2 dp
0.6×30=18
 
Denary 2.2 dp
1.4÷4=0.35
 
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
(66.2÷33.1)×14.4=28.8
 
Definition 0.1 dp
83.1-0.5×20=73.1
 
Definition 1.1 dp
11.1+3.8×3=22.5
 
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
 
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
 
Negatory 1.1 dn
-8.5×5-45.5=-88
 
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
 
 
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
 
 
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
 
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
 
Numerator 1.2 fp
189/29-182/29=7/29
 
Numerator 2.1 fp
1/5+4/5-3/7=4/7
 
Numerator 2.2 fp
1/2+1/8+7/24=11/12
 
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
 
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
 
Denominator 0.1 fn
-2/9-5/9=-7/9
 
Denominator 1.1 fn
-3/10-1/2=-4/5
 
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
 
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
 
Fragment 1.1 fp
2/5×5/8=1/4
 
Fragment 1.2 fp
13/15×61/13=61/15
 
Fragment 2.1 fp
14/3×3/2×1/7=1/1
 
 
Reduction 1.2 fp
8300/580=415/29
 
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
 
 
Ceil 0.2 in
100 > -74
 
Ceil 0.3 in
-250-390 < 731+50
 
Ceil 1.2 in
65 > -16
 
Ceil 1.3 in
268 > -563
 
Ceil 2.2 in
63+36 > -50-32
 
Ceil 2.3 in
320-0 > -582+530
 
Ceil 3.2 in
-95÷(-5) > -100÷2
 
Ceil 3.3 in
2×200 > -722÷(-2)
 
Point 0.1 dp
4+68.6 < 84.9-12.1
 
Point 0.2 dp
1.8×39.2 < 4.14×20
 
Point 1.2 dp
80 > 36.8
 
Point 1.3 dp
50.702 < 50.709
 
Point 1.4 dp
811.262 > 811.242
 
Point 2.2 dp
26.53+26.28 > 1.85+50.07
 
Point 2.3 dp
83.011-3.011 > 85.057-20.761
 
Point 3.1 dp
48÷8 > 0.5×8
 
Point 3.2 dp
1.6×11.25 < 81÷4.05
 
Doted 0.1 dn
-30.5 > -54.6
 
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
-60 > -79
 
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
 
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
 
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
 
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
 
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
 
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
 
Improper 1.3 fp
36889/440 > 563/7
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
 
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
 
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
 
Descent 1.1 fn
-1/10 < 3/5
 
Descent 1.2 fn
-373/73 < 5/1
 
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
 
 
Lineal 0.1 in
x+1=-6
 
Lineal 0.2 in
-4×(x+76)=56
 
 
Lineal 1.3 in
x-914=-255
 
Lineal 2.2 in
80÷(-x)=-2
 
Lineal 2.3 in
x×(-31)=-930
 
Lineal 3.1 in
-x×4+6=2
 
Lineal 3.2 in
-60-2×x=100
 
Lineal 4.1 in
-(x+6)×2=-6
 
Lineal 4.2 in
44÷(x-62)=-11
Rounding
 
 
Rounding 0.1 dp
17.3÷26≈1
 
Rounding 0.2 dp
0.44+9.58≈10
 
Rounding 1.2 dp
61.65≈61.7
 
Rounding 1.3 dp
9.106≈9.11
 
Rounding 2.2 dp
15.82+23.09≈38.9
 
Rounding 2.3 dp
94.006-31.514≈62.49
 
Rounding 3.1 dp
37.7÷42.9≈1
 
Rounding 3.2 dp
75×0.2≈15
Language Exercises
 
 
 
 
Lexicon 2.3
stud o [workshop]
 
Infinitive 1.2
rewrite rewrote       [rewrite]
 
Infinitive 3.1
tread             [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-732+20=-712
 
Conversant 2.4 in
-413+822-641=-232
 
Conversant 2.5 in
-39565-759256-36212=-835033
 
Conversant 3.4 in
123-(622+185)=-684
 
Conversant 3.5 in
135317-(-250000+825317)=-440000
 
Conversant 4.4 in
-(695-404)+(581-440)=-150
 
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
 
Divisor 1.5 ip
90000÷180=500
 
Intellect 0.2 in
-133-4×9×23=-961
 
Intellect 1.2 in
11+22÷2=22
 
Intellect 2.2 in
-170-19×6-136=-420
 
Intellect 3.2 in
(976-64)÷(104-96)=114
 
Logics 0.2 in
-800÷(-5)÷4=40
 
Logics 1.2 in
92÷(-2)=-46
 
Logics 2.2 in
80÷10÷2=4
 
Logics 3.2 in
(-60÷5)÷(-4)=3
 
Logics 4.2 in
315÷(9÷(-3))÷7=-15
 
Divisor_ENG 1.5 ip
1579107÷183=8629
Decimal Examples
 
 
Partitive 0.4 dp
439.279-17-32.279=390
 
 
Partitive 2.4 dp
487.916-95.12-202.796=190
 
Partitive 3.4 dp
423.627+(374.827-30)=768.454
 
Split 0.3 dn
-47+23+77.37=53.37
 
Split 0.4 dn
440.198+399.032=839.23
 
Split 1.3 dn
95-11.43=83.57
 
Split 1.4 dn
-112.271+452.92=340.649
 
Split 2.3 dn
-36.27+86.24-95.42=-45.45
 
Split 2.4 dn
-321.327+225.967-444.551=-539.911
 
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
 
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
 
 
Divisional 1.3 dp
3.168÷1.152=2.75
 
Denary 0.2 dp
0.5×16=8
 
Denary 0.3 dp
1.375×0.64×12.5=11
 
Denary 1.3 dp
6.075×5.12=31.104
 
Denary 2.3 dp
22.44÷1.6=14.025
 
Denary 3.3 dp
0.72÷80=0.009
 
Denary 4.2 dp
18.4÷7.36÷1.25=2
 
Denary 4.3 dp
3.125×12.8×0.88=35.2
 
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
 
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
 
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
 
Definition 1.2 dp
29.2-2.72÷13.6=29
 
Definition 1.3 dp
65.713+3.519×4=79.789
 
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
 
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
 
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
 
Negatory 0.1 dn
60÷(-0.5-0.3)÷50=-1.5
 
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
 
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
 
Negatory 1.3 dn
38.042+0.54×52=66.122
 
Negatory 2.2 dn
8.75×0.64-5.7×8=-40
 
Negatory 2.3 dn
20+10×0.033+41.27=61.6
 
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
 
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
 
 
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
 
 
Numerator 0.3 fp
3/11+8403/869=8640/869
 
Numerator 1.3 fp
787/9-4813/117=602/13
 
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
-105/23+1/4=-397/92
 
Denominator 1.2 fn
29/5-28/5=1/5
 
Denominator 1.3 fn
1239/19-327/19=48/1
 
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
 
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
 
Fragment 0.1 fp
(12/5×1/3)×25/4=5/1
 
Fragment 0.2 fp
119/11÷1547/33=3/13
 
Fragment 1.3 fp
304/9÷3154/81=72/83
 
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
 
Fragment 2.3 fp
1/5×203/3×6/5=406/25
 
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
286/1027=22/79
 
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
 
Limited 1.2 fp
55/12+12/17÷36/85=25/4
 
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
 
Complete 0.1 fn
2/3-1/2×8/3=-2/3
 
Complete 1.1 fn
-7/6+3/4×86/9=6/1
 
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
 
Complete 2.1 fn
-(2/3+13/3)×1/10=-1/2
Comparisons
 
 
Ceil 0.4 in
-705664+930000 > 734380-575380
 
Ceil 1.4 in
115004 > -118056
 
Ceil 2.4 in
121236-219349 < 906719-76722
 
Ceil 3.4 in
46×(-99) = -396198÷87
 
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
 
Point 0.4 dp
541.862-341.195 < 360.92+283.368
 
Point 2.4 dp
925.983-860.483 < 48.669+24.331
 
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
 
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
 
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
 
Doted 1.3 dn
-15 < 100
 
Doted 1.4 dn
108.111 < 886.755
 
Doted 2.3 dn
-26.235+81.349 > 37.149-92.266
 
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
 
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
 
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
 
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
 
Descent 0.1 fn
-8/9 < 3/4
 
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
 
Descent 1.3 fn
53437/604 > -13406/151
 
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
 
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
 
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
 
 
Lineal 0.3 in
90×(-769+x)=540
 
Lineal 3.3 in
600÷x-25=-65
 
Lineal 4.3 in
40×(-291-x)=400
 
Rounding
 
 
Rounding 0.3 dp
48.268+29.768≈78.04
 
Rounding 3.3 dp
18.727÷27.295≈0.69
Language Exercises
 
 
 
 
 
 
Lexicon 1.4
b havior [conduct]
 
Infinitive 2.2
typecast             [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-398+42×2319=97000
 
Intellect 1.3 in
5832÷72+6855=6936
 
Intellect 2.3 in
-4070+51842÷23÷49=-4024
 
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
 
Logics 0.3 in
(-5×45)÷3=-75
 
Logics 1.3 in
20×(-10)=-200
 
Logics 2.3 in
80÷(-20)÷(-2)=2
 
Logics 3.3 in
(-3720÷5)÷(-31)=24
 
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
 
 
Residual 1.3 dp
20÷80=0.25
 
Denary 0.4 dp
102.6÷0.8=128.25
 
Denary 1.4 dp
6.72×1.25=8.4
 
Denary 2.4 dp
85.68÷3.75=22.848
 
Denary 3.4 dp
0.52÷1.04=0.5
 
Denary 4.4 dp
74.8×13×0.055=53.482
 
Denary 5.4 dp
2×(0.52×0.025)=0.026
 
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
 
Definition 0.4 dp
361×0.729+326.831=590
 
Definition 1.4 dp
0.66÷0.825+891.392=892.192
 
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
 
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
 
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
 
Negatory 0.3 dn
63×0.352+54.075=76.251
 
Negatory 0.4 dn
329-437.4÷0.6=-400
 
Negatory 1.4 dn
-2.16×100-577.811=-793.811
 
Negatory 2.4 dn
-861.899-1.2×0.02+486.956=-374.967
 
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
 
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
 
Fraction Examples
 
 
Denominator 0.3 fn
2/3-89/3=-29/1
 
Denominator 2.3 fn
67/4+157/4+6729/295=23249/295
 
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
 
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
 
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
 
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
 
Limited 1.3 fp
1/2÷9/118+247/9=34/1
 
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
 
Complete 0.2 fn
19/3÷(-5/9-10/63)=-133/15
 
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
 
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
 
 
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
 
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
 
Descent 0.3 fn
-5253/205+15818/205 > 1259/17-1413/34
 
Descent 2.3 fn
31/1+2347/77 < 31/1+7456/121
 
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
 
 
 
 
 
Quadratic 3.1 in
x2+11x+24=0
 
 
 
System 2.1 ip
2y×8x=576
 
 
Set 0.1 in
-x+y=13
 
Set 1.1 in
-x+y=-6
 
Set 2.1 in
-3y×4x=-960
 
Set 3.1 in
-10y-10x=0
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
ent usiasm [delight]
 
Lexicon 2.4
deli hted [admiring]
 
Infinitive 1.3
rehear       reheard [rehear]
 
Infinitive 3.2
foresee             [foresee]

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