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
1000000-0-620000=380000
Beginner 4.5 ip
561273+249458-799031=11700
Beginner 5.5 ip
904921-(273824-157234)=788331
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
880000-442636=437364
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
911÷30=30(11)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
(100-27)×(20-9)=803
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
493-(710-658)×3=337
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
318÷20=15(18)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
5-4.7=0.3
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
9-7.6-1=0.4
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
18.4÷2=9.2
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
6 > -3
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
583/84 > 214/57
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
352÷(65-x)=176
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
-1-x=6
Lineal 2.1 in
-3×(-x)=-9
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
111+141≈25
Round 0.2 ip
1528≈15
Round 0.3 ip
727×1288≈936
Round 1.3 ip
394545≈395
Round 2.2 ip
8604-785≈78
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
32×7≈22
Round 3.2 ip
4136÷8≈5
Round 3.3 ip
153401×3≈460
Language Exercises
Russian Vocabulary 1.4
проц дура
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
non ense
English Vocabulary 2.3
w rship
Lexicon 1.3
c pital [metropolis]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(10+6)+(6+0)=-10
Conversant 0.2 in
-6-(17-3)=-20
Conversant 0.3 in
22-(60-34)=-4
Conversant 1.2 in
-7-5=-12
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
-7-(1-8)=0
Conversant 3.2 in
-1+(11-18)=-8
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
(19-17)-(1+13)=-12
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
636004÷2=318002
Cognizant 3.4 ip
780000÷240=3250
Cognizant 4.4 ip
25×16×1000=400000
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
-20+5×2=-10
Intellect 2.1 in
-2-96÷6÷8=-4
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
2×(-8×4)=-64
Logics 1.1 in
4×6=24
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
1.07+25=26.07
Partitive 2.3 dp
61.53-35-12=14.53
Partitive 3.3 dp
30+(3.3+52.04)=85.34
Split 0.1 dn
-9.8+0+2=-7.8
Split 0.2 dn
-65.5-19.4=-84.9
Split 1.1 dn
2.2+6.8=9
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
68-45+70.8=93.8
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
6.3÷4.5=1.4
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
1.44÷7.2=0.2
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
27×2×0.1=5.4
Denary 5.1 dp
72÷(4.5×6.4)=2.5
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
Negatory 2.1 dn
95-0.6×32.5÷0.1=-100
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
1/5+7/10-2/5=1/2
Numerator 0.2 fp
1/35+(6/35+1/45)=2/9
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
3/5+(2/5-1/4)=3/4
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
-1/8+(-1/8-1/8)=-3/8
Fragment 1.1 fp
3/4×68/7=51/7
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
132/30=22/5
Reduction 1.2 fp
399/19=21/1
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
2+4 > -31+25
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-80 < -74
Ceil 1.3 in
403 > -804
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
Point 0.2 dp
40.02 < 48
Point 1.2 dp
50 > 42.67
Point 1.3 dp
63.298 > 40
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
53-14.7 < 76.9-16.9
Doted 2.2 dn
-31.45+87.04 = -4.41+60
Doted 3.1 dn
-94÷(-2.5) > 75÷(-1.5)
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
Improper 1.3 fp
67/383 < 75959/766
Improper 2.2 fp
14/3+25/39 > 49/5-347/65
Improper 2.3 fp
455/17-268/17 < 1/2+23/2
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
-1/6 > -3/4
Descent 1.2 fn
-64/7 < 26/7
Descent 2.1 fn
1/5+3/5 = -1/5+1/1
Equations
Lineal 0.1 in
x+4=-6
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
3+x=0
Lineal 1.3 in
-x+157=-163
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
4×(-55-x)=-56
Rounding
Rounding 0.1 dp
67.3≈67
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
82.203≈82.2
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
79.836+3.283≈83.12
Rounding 3.1 dp
54.1×1.2≈65
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
Russian Vocabulary 2.4
к нкурент
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
unspun [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
-499+18=-481
Conversant 2.4 in
0-413-496=-909
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
583000-(856644-390000)=116356
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
19600÷196=100
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
(950-850)÷(-2-3)=-20
Logics 0.2 in
(4×(-25))÷(-20)=5
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-2×(-250)÷(-25)=-20
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
-15÷(5×3)×(-19)=19
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
375.736-(36+16.85)=322.886
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
416.742+172.002=588.744
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
-572.502-(-160.053+0)=-412.449
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
11.04÷29.44=0.375
Denary 0.2 dp
17.28÷28.8=0.6
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
66×0.176÷0.704=16.5
Denary 5.2 dp
47.88÷(63.84÷3)=2.25
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
Definition 0.2 dp
79.23-31.25×0.64=59.23
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
29.175-91×1.02÷4=5.97
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
-80÷31.25-23=-25.56
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
67.32+1.44×10÷2.5=73.08
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
21.4-(15+1)÷2.5=15
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
Residual_ENG 1.2 dp
90÷5=18
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
1592/17-1575/17=1/1
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
Numerator 3.3 fp
84037/891-(14552/891-13378/891)=93/1
Denominator 0.2 fn
111/22+17/14=482/77
Denominator 1.2 fn
7/3+85/33=54/11
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
-2/3-47/6+55/6=2/3
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
2/5×15/16=3/8
Fragment 1.3 fp
25/2÷25/84=42/1
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
507/651=169/217
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
Limited 1.2 fp
1/26+3/13×1/2=2/13
Limited 2.1 fp
(3/8+1/8)÷2/3=3/4
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
-7/17÷79/34-18/79=-32/79
Complete 2.1 fn
(1/3+29/3)×3/4=15/2
Comparisons
Ceil 0.4 in
-534091-302253 < 70395+49771
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
-388433+544440 > -91637-66686
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
541.862-341.195 < 360.92+283.368
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
1.38×8.5 < 33.75×1.6
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
5087/92 > 587/874
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
40/9÷(-60/67) < 5/2×(-12/35)
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Lineal 0.3 in
2×(-x+375)=750
Lineal 3.3 in
-99×x-990=0
Lineal 4.3 in
-(x+467)×88=704
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
festi al
English Vocabulary 2.4
ord nary
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
35584÷16+352÷2=2400
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
500÷(4×5)×100=2500
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-480÷(-4÷2)÷(-4)=-60
Decimal Examples
Residual 1.3 dp
9÷24=0.375
Denary 0.4 dp
(269.824÷3.1)÷128=0.68
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
42.24÷1.056=40
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
-3×84.48+93.275=-160.165
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
1455/937-412/11-666/11=-90371/937
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(43/50÷43/20)×91/9=182/45
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
39/17÷(4/3+113/3)=1/17
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-45457/472 < -807/10
Descent 2.3 fn
20363/732-20561/732 < 4/1+71/2
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
y+x=15
System 1.2 ip
x-y=0
System 2.1 ip
10x×2y=100
System 3.1 ip
6y-2x=40
Set 0.1 in
-10y×8x=800
Set 1.1 in
y-x=-10
Set 2.1 in
-144x÷4y=-108
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
pro essional
English Vocabulary 3.4
borro
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
hi tory [past]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
rebound [rebind]
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