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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
170000+63167+23111=256278
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
-770000+924199=154199
 
 
Cognizant 0.3 ip
2×1250=2500
 
Cognizant 4.3 ip
16×125÷20=100
 
Cognizant 5.3 ip
(100×18)÷24=75
 
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
 
Remainder 1.3 ip
436÷67=6(34)
 
Multiplier 1.4 ip
4600×500=2300000
 
Divisor 1.3 ip
1200÷10=120
 
Numeracy 0.2 ip
780÷4-95=100
 
Numeracy 0.3 ip
541+12×12+15=700
 
Numeracy 1.3 ip
290×16-3379=1261
 
Numeracy 2.3 ip
250+560÷14+1663=1953
 
Numeracy 3.2 ip
84+(576-76)÷4=209
 
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
 
 
Decimal Examples
 
 
Partitive 0.1 dp
6.2-1-1.4=3.8
 
Partitive 0.2 dp
72.6+9=81.6
 
 
Partitive 1.2 dp
47.1+3.6=50.7
 
Partitive 2.1 dp
9.6-1-3.2=5.4
 
Partitive 2.2 dp
30+100-65=65
 
Partitive 3.1 dp
6.4-(6.6-2)=1.8
 
Partitive 3.2 dp
15.9+(5.7+32)=53.6
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
7×3.6=25.2
 
Denary 2.1 dp
97.2÷1.5=64.8
 
Denary 3.1 dp
4×8.8=35.2
 
Fraction Examples
 
 
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
 
 
Natural 0.4 ip
416595 < 610000
 
Natural 3.4 ip
512000÷256 < 906696÷28
 
 
 
Ceil 2.1 in
1+1 > -1-9
 
Ceil 3.1 in
-8÷2 < -4÷2
 
Point 1.1 dp
83.3 > 59.9
 
Point 2.1 dp
12.8+7.6 < 81.5-54.2
 
 
Improper 1.2 fp
445/68 < 7/1
 
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
 
 
Linear 0.2 ip
(x-70)×8=80
 
Linear 0.3 ip
942-38×x=258
 
Linear 3.3 ip
28×x+139=979
 
Linear 4.2 ip
76÷(18+x)=2
 
Linear 4.3 ip
(5+x)×148=740
 
Lineal 1.1 in
-x-10=-10
 
Rounding
 
 
 
Rounding 2.1 dp
54.7+21.7≈76
 
Round 0.1 ip
510-333≈18
 
Round 0.2 ip
992≈10
 
Round 0.3 ip
856596÷247≈3
 
Round 1.3 ip
402442≈402
 
Round 2.2 ip
1780+667≈24
 
Round 2.3 ip
476428-337943≈138
 
Round 3.1 ip
516÷2≈26
 
Round 3.2 ip
358×25≈90
 
Round 3.3 ip
8969×52≈466
Language Exercises
 
 
Russian Vocabulary 1.4
ор гинальный
 
Russian Vocabulary 3.3
 нварский
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
miscast             [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
10-98+21=-67
 
 
 
 
 
Conversant 3.1 in
-10+(4-4)=-10
 
Conversant 3.2 in
-10-(17-11)=-16
 
Conversant 3.3 in
-34+(90-37)=19
 
Conversant 4.1 in
(0+7)-(6-0)=1
 
Conversant 4.2 in
(16-18)+(3-20)=-19
 
Conversant 4.3 in
-(7+20)-(2-68)=39
 
Cognizant 0.4 ip
3×(853×180)=460620
 
Cognizant 1.4 ip
237×692=164004
 
 
Cognizant 3.4 ip
125×40=5000
 
Cognizant 4.4 ip
74256÷272×717=195741
 
Cognizant 5.4 ip
24000÷(48÷3)=1500
 
Cognizant 6.4 ip
2×(4×5)×50=2000
 
Multiplier 1.5 ip
48742×1676=81691592
 
Divisor 1.4 ip
64909÷13=4993
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
52+80÷5=68
 
Intellect 2.1 in
-30+10×3×3=60
 
Intellect 3.1 in
65-(-3-2)×3=80
 
Logics 0.1 in
-4×3×(14÷2)=-84
 
Logics 1.1 in
57÷(-3)=-19
 
Logics 2.1 in
-6×4×(-3)=72
 
Logics 3.1 in
(-8÷(-2))÷2=2
 
Logics 4.1 in
20÷(-2×(-2))×(-8)=-40
 
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
 
 
Partitive 0.3 dp
97.85-10.12=87.73
 
Partitive 1.3 dp
59.25-59.25=0
 
Partitive 2.3 dp
77-55.38+39.66=61.28
 
Partitive 3.3 dp
81-(59.17-50.16)=71.99
 
Split 0.1 dn
4.5-2-6.4=-3.9
 
Split 0.2 dn
42+40.5=82.5
 
Split 1.1 dn
7-4.2=2.8
 
Split 1.2 dn
6-69=-63
 
Split 2.1 dn
0.6-4.8+5.1=0.9
 
Split 2.2 dn
2.4-0.1-80.3=-78
 
Split 3.1 dn
7.2+(3.9-3.6)=7.5
 
Split 3.2 dn
10+(28-85.7)=-47.7
 
Residual 1.1 dp
95÷10=9.5
 
Divisional 1.2 dp
1.26÷0.18=7
 
Denary 0.1 dp
18.8÷2=9.4
 
Denary 1.2 dp
35×0.12=4.2
 
Denary 2.2 dp
0.96÷0.8=1.2
 
Denary 3.2 dp
4×0.06=0.24
 
Denary 4.1 dp
1.7×4÷0.8=8.5
 
Denary 5.1 dp
7.6÷(76×0.2)=0.5
 
Definition 0.1 dp
71+(25.7-24.5)÷0.8=72.5
 
Definition 1.1 dp
0.8÷0.5+21.7=23.3
 
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
 
Definition 3.1 dp
26.2-(15+55.4)÷11=19.8
 
Negatory 1.1 dn
15÷1.5+50=60
 
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
 
 
Fraction Examples
 
 
Numerator 0.1 fp
5/8+1/4=7/8
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
5/7+169/28=27/4
 
Numerator 2.1 fp
7/8-3/8-1/2=0/1
 
Numerator 2.2 fp
49/8-409/72+59/9=7/1
 
Numerator 3.1 fp
1/5+(4/5-2/7)=5/7
 
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
 
Denominator 0.1 fn
-4/5-1/5=-1/1
 
 
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
 
Denominator 3.1 fn
1/6-(-1/2-1/6)=5/6
 
Fragment 1.1 fp
42/5÷21/5=2/1
 
Fragment 1.2 fp
139/8÷973/44=11/14
 
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
 
 
Reduction 1.2 fp
550/572=25/26
 
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
 
 
Ceil 0.2 in
-30+60 > -30+40
 
Ceil 0.3 in
978÷(-6) < -810÷6
 
Ceil 1.2 in
-24 < 48
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
-25-23 < 10+0
 
Ceil 2.3 in
24+386 < 138+529
 
Ceil 3.2 in
2×8 = -48÷(-3)
 
Ceil 3.3 in
-920÷2 < -420÷3
 
Point 0.1 dp
38.4 > 1.7
 
Point 0.2 dp
98.17-11.17 > 64.69-20.63
 
Point 1.2 dp
80 > 36.8
 
Point 1.3 dp
70.202 > 40
 
Point 1.4 dp
613.151 > 449.867
 
Point 2.2 dp
96.8-25.14 > 66.5-7.5
 
Point 2.3 dp
26.216+17.634 > 0.628+2.002
 
Point 3.1 dp
98.4÷8.2 < 37÷2
 
Point 3.2 dp
28×1.8 > 18.36÷2
 
Doted 0.1 dn
0.8×(-37.5) = -90÷3
 
Doted 0.2 dn
-15.77+95 < 36+64
 
Doted 1.1 dn
-89.7 < 35
 
Doted 1.2 dn
-41.12 < 48.26
 
Doted 2.1 dn
-49-1 < -31.6+75.9
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
6.4×13.5 > 6×12.8
 
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
 
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
 
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
 
Improper 1.3 fp
67/383 < 75959/766
 
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
 
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
 
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
 
Improper 3.2 fp
1/3÷1/24 > 36/19×95/68
 
 
Descent 1.2 fn
-5/1 < 1/2
 
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
 
 
Lineal 0.1 in
x÷2+4=-1
 
Lineal 0.2 in
x×2+68=-10
 
Lineal 1.2 in
-97+x=-37
 
 
Lineal 2.2 in
80÷(-x)=-2
 
Lineal 2.3 in
-x×61=-610
 
Lineal 3.1 in
-x÷5+1=2
 
Lineal 3.2 in
-60-2×x=100
 
Lineal 4.1 in
-2×(x-7)=6
 
Lineal 4.2 in
2×(71+x)=-30
Rounding
 
 
Rounding 0.1 dp
48.9+35.7≈85
 
Rounding 0.2 dp
45.56-11.54≈34
 
Rounding 1.2 dp
90.51≈90.5
 
Rounding 1.3 dp
11.882≈11.88
 
Rounding 2.2 dp
56.95-34.17≈22.8
 
Rounding 2.3 dp
3.972+2.712≈6.68
 
Rounding 3.1 dp
37.7÷42.9≈1
 
Rounding 3.2 dp
89.1÷9.48≈9.4
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
unf irly [unjustly]
 
Infinitive 1.2
unwind unwound       [unwind]
 
Infinitive 3.1
bust             [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
171-275=-104
 
Conversant 0.5 in
388273+(993690-733140)=648823
 
Conversant 1.4 in
141-391=-250
 
Conversant 2.4 in
130+940-775=295
 
Conversant 2.5 in
411071-410000+970000=971071
 
Conversant 3.4 in
123-(622+185)=-684
 
Conversant 3.5 in
-114464-(-343305+181000)=47841
 
Conversant 4.4 in
(50+199)-(544-575)=280
 
Conversant 4.5 in
-(700000+255017)+(473443+416413)=-65161
 
Divisor 1.5 ip
60000÷600=100
 
Intellect 0.2 in
-105-2×220=-545
 
Intellect 1.2 in
-270-20×3=-330
 
Intellect 2.2 in
659-100÷25-277=378
 
Intellect 3.2 in
-8+(196+98)÷2=139
 
Logics 0.2 in
-800÷(-5)÷4=40
 
Logics 1.2 in
300÷25=12
 
Logics 2.2 in
-20×25÷2=-250
 
Logics 3.2 in
(-20×2)÷(-4)=10
 
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
 
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
 
 
Partitive 0.4 dp
439.279-17-32.279=390
 
Partitive 1.4 dp
589.082-100=489.082
 
Partitive 2.4 dp
296.5+158.694-155.194=300
 
Partitive 3.4 dp
237.038+(265.417+175.545)=678
 
Split 0.3 dn
63.09+23.56=86.65
 
Split 0.4 dn
119.87-341.97+409.266=187.166
 
Split 1.3 dn
95-11.43=83.57
 
Split 1.4 dn
581.172-141.613=439.559
 
Split 2.3 dn
-69.23+90.32-50.09=-29
 
Split 2.4 dn
-93.725-75+140.922=-27.803
 
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
 
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
 
Residual 1.2 dp
30÷25=1.2
 
Divisional 1.3 dp
0.072÷0.1=0.72
 
Denary 0.2 dp
2.7÷15=0.18
 
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
 
Denary 1.3 dp
0.736×20=14.72
 
Denary 2.3 dp
86.4÷60=1.44
 
Denary 3.3 dp
79.596÷4.752=16.75
 
Denary 4.2 dp
4÷0.4×1.6=16
 
Denary 4.3 dp
3.84×0.75×33.6=96.768
 
Denary 5.2 dp
1.2÷(15×2)=0.04
 
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
 
Definition 0.2 dp
14×3.61+10.8÷90=50.66
 
Definition 1.2 dp
2×0.04+9.95=10.03
 
Definition 1.3 dp
1.2×0.005+84.66=84.666
 
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
 
Definition 2.3 dp
6×0.16+20×0.015=1.26
 
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
 
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
 
Negatory 1.3 dn
-30.444+0.792×64=20.244
 
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
 
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
 
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
 
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
 
 
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
 
 
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
 
Numerator 1.3 fp
53/13+77/13=10/1
 
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
33/20-(1/5+9/20)=1/1
 
Denominator 1.2 fn
14/5-143/60=5/12
 
Denominator 1.3 fn
-134/19-22200/247=-23942/247
 
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
 
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
 
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
 
Fragment 0.2 fp
36/5÷81/35×9/2=14/1
 
Fragment 1.3 fp
1/3×3/5=1/5
 
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
 
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
 
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
 
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
 
Reduction 1.3 fp
17252/247=908/13
 
Limited 0.1 fp
10/3-26/3÷13/4=2/3
 
Limited 1.2 fp
336/17×153/56-133/3=29/3
 
Limited 2.1 fp
15/8×(9/2-25/6)=5/8
 
Complete 0.1 fn
-4/5-1/2×32/5=-4/1
 
Complete 1.1 fn
61/8-15/4÷5/9=7/8
 
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
 
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
 
 
Ceil 0.4 in
-438376+764292 > -138143-462878
 
Ceil 1.4 in
-775923 > -933776
 
Ceil 2.4 in
-109061+979061 > 655123-64353
 
Ceil 3.4 in
260×(-30) > 44684÷(-4)
 
Point 0.3 dp
68.5-49.467 > 52.507-44.769
 
Point 0.4 dp
200 > 117.366
 
Point 2.4 dp
10+478.4 < 19.623+679.245
 
Point 3.3 dp
19.788÷4 < 20.74÷4.148
 
Point 3.4 dp
1.75×39.424 < 92.16×1.575
 
Doted 0.3 dn
31.482+33.017 > -55.968+57.937
 
Doted 1.3 dn
9.859 > -20.155
 
Doted 1.4 dn
-890.483 < 890.478
 
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
 
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
 
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
 
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
 
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
 
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
 
Descent 0.2 fn
-89/9 < -3/1
 
Descent 1.3 fn
33461/449 > 23705/449
 
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
 
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
 
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
 
 
Lineal 0.3 in
x÷(-13)=-23
 
Lineal 3.3 in
32×x-230=186
 
Lineal 4.3 in
-(-x-855)×40=-880
 
Rounding
 
 
Rounding 0.3 dp
80÷19.708≈4.06
 
Rounding 3.3 dp
16×5≈80
Language Exercises
 
 
 
Russian Vocabulary 3.4
вн запно
 
 
 
Lexicon 1.4
a dience [hearing]
 
Infinitive 2.2
shoe             [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-312÷104+7700=7697
 
Intellect 1.3 in
110÷55-5911=-5909
 
Intellect 2.3 in
-252÷18-1080÷90=-26
 
Intellect 3.3 in
1694+(2103-977)×50=57994
 
Logics 0.3 in
3168÷2÷(-4)=-396
 
Logics 1.3 in
8712÷36=242
 
Logics 2.3 in
952÷(-34)×95=-2660
 
Logics 3.3 in
-528÷(16×(-3))=11
 
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
 
 
 
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
5.544÷0.504=11
 
Denary 3.4 dp
6.144÷8=0.768
 
Denary 4.4 dp
0.76÷6.08÷125=0.001
 
Denary 5.4 dp
(6.25×48)÷19.2=15.625
 
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
 
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
 
Definition 1.4 dp
36.8×27-29.733=963.867
 
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
 
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
 
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
 
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
 
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
Negatory 2.4 dn
-52+252.72÷13÷0.045=380
 
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
 
Negatory 3.4 dn
7×(5.681+19.919)×0.625=112
 
Fraction Examples
 
 
Denominator 0.3 fn
329/927+208/927=179/309
 
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
 
Denominator 3.3 fn
-6159/232-(-1/2-783/8)=2083/29
 
Fragment 0.3 fp
75/2÷1/2=75/1
 
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
 
Limited 0.2 fp
2383/80+13/2×8/5=643/16
 
Limited 1.3 fp
3/11÷1/638-5695/72=6833/72
 
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
 
Complete 0.2 fn
97/64×(2/11-354/11)=-97/2
 
Complete 1.3 fn
22/119×56/11+273/17=17/1
 
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
 
 
Doted 0.4 dn
-263.871-336.129 < 196.831+403.169
 
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
 
Descent 0.3 fn
3681/353 > -268/5
 
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
 
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
 
 
 
 
 
Quadratic 3.1 in
x2+11x+24=0
 
 
 
System 2.1 ip
3y×4x=432
 
 
Set 0.1 in
3y+6x=-30
 
Set 1.1 in
y-x=-10
 
Set 2.1 in
414y÷2x=-92
 
Set 3.1 in
-5x-5y=-5
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
enthu iastic [ebullient]
 
Lexicon 2.4
contrib te [promote]
 
Infinitive 1.3
shake shook       [shake]
 
Infinitive 3.2
unhang             [unhang]

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