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 1.1 in
-6+3=-3
Conversant 1.5 in
-770000+924199=154199
Conversant 2.1 in
-1-0-9=-10
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
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
6.2-1-1.4=3.8
Partitive 0.2 dp
72.6+9=81.6
Partitive 1.1 dp
0.1+7=7.1
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
Divisional_ENG 1.1 dp
3.2÷2=1.6
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 0.1 in
-3 < 7
Ceil 1.1 in
-8 < 6
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 1.1 fp
1/7 < 1/2
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
Lineal 2.1 in
-x×2=2
Rounding
Rounding 1.1 dp
84.8≈85
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
English Vocabulary 1.3
p enty
English Vocabulary 2.3
ver ion
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
miscast [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
-30+40=10
Conversant 2.2 in
5-4+9=10
Conversant 2.3 in
37-87+70=20
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 2.4 ip
960÷3=320
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
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
12÷3.2=3.75
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 1.1 fn
5/9+1/9=2/3
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 1.1 fp
10/16=5/8
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 1.1 fn
1/6 < 7/9
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 1.3 in
-92-x=59
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
English Vocabulary 3.3
cl mbing
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
Residual_ENG 1.2 dp
100÷25=4
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
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
вн запно
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
i pression
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
Residual 1.3 dp
55÷5=11
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
Residual_ENG 1.3 dp
63÷24=2.625
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 0.1 in
-2x2-18x=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
4x2-8x=0
Quadratic 3.1 in
x2+11x+24=0
System 0.1 ip
x+y=19
System 1.2 ip
x+y=160
System 2.1 ip
3y×4x=432
System 3.1 ip
6x+y=70
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
English Vocabulary 1.5
suffi iently
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
ill gal
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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