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
909180+83420=992600
Beginner 4.5 ip
482824+210229+4045=697098
Beginner 5.5 ip
291757+(668981-380000)=580738
Conversant 1.1 in
7-7=0
Conversant 1.5 in
78877+112123=191000
Conversant 2.1 in
-6+10-1=3
Cognizant 0.3 ip
1242÷27×48=2208
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(8×750)÷3=2000
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
910÷100=9(10)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
7964÷44=181
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
3400-360÷12-428=2942
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
21-(94.5-74.7)=1.2
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
59.3-57.6+96.1=97.8
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
57-(33.5+3.5)=20
Divisional 1.1 dp
0.3÷0.2=1.5
Denary 1.1 dp
3×1.6=4.8
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
114×7 > 3×4
Ceil 0.1 in
7 > -2
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
583/84 > 214/57
Improper 2.1 fp
1/2-3/10 < 1/2-1/4
Equations
Linear 0.2 ip
48÷x-1=1
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
x×30-720=0
Linear 4.2 ip
15×(43-x)=30
Linear 4.3 ip
(x+3)×128=384
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
-x÷4=-1
Rounding
Rounding 1.1 dp
86.6≈87
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
15×27≈41
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
69821≈70
Round 1.3 ip
244144≈244
Round 2.2 ip
4031-2010≈20
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
410÷5≈8
Round 3.2 ip
1004×8≈80
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
орг низм
Russian Vocabulary 3.3
гр мматика
English Vocabulary 2.3
creat re
English Vocabulary 3.2
cl an
Lexicon 1.3
un form [outfit]
Infinitive 2.1
partake [partake]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
2-9=-7
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
18-20=-2
Conversant 1.3 in
90-20=70
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(0-7)-(6+6)=-5
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
729×983=716607
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
500×7÷5=700
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
6250÷25=250
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
(9+3)×(5+2)=84
Logics 0.1 in
-66÷(-36÷6)×5=55
Logics 1.1 in
70÷5=14
Logics 2.1 in
-16÷4×2=-8
Logics 3.1 in
90÷(45÷(-9))=-18
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
47.47-7.76=39.71
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
-2-2.9=-4.9
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-95.2+87.5-35.5=-43.2
Split 3.1 dn
-5.2-(0.9-4.3)=-1.8
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
15÷5=3
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
1.98÷24.75=0.08
Denary 3.2 dp
2.88÷36=0.08
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(48.7÷97.4)×10.4=5.2
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
0.8×100-11.8=68.2
Definition 2.1 dp
21+28.5÷3+14.3=44.8
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
Residual_ENG 1.1 dp
69÷2=34.5
Divisional_ENG 1.2 dp
0.52÷2=0.26
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
8/13+5/13+17/22=39/22
Numerator 1.2 fp
57/8-85/32=143/32
Numerator 2.1 fp
1/3-1/9+4/9=2/3
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
1/10+(1/10+2/5)=3/5
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
Denominator 0.1 fn
-8/9+1/9=-7/9
Denominator 1.1 fn
-3/8+3/4=3/8
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
7/11×121/7=11/1
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
4×(-4) = 4×(-4)
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
42 > -21
Ceil 1.3 in
759 > 754
Ceil 2.2 in
8+8 > 2+9
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
603÷3 > 2×2
Point 0.1 dp
73.6-2.7 > 14.2+56.2
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
34.588 > 23
Point 1.4 dp
310.752 > 310.746
Point 2.2 dp
26.9+67.33 > 54.33-4.18
Point 2.3 dp
44.524+26.476 < 98.418-17.608
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
-84.7÷1.54 < 48.02÷(-7)
Improper 0.1 fp
4/9 > 1/6
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
46/5-1/5 > 1/2+7/38
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
7/8 > -2/5
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
2/3-4/9 < -1/9+1/1
Equations
Lineal 0.1 in
(x-4)×3=0
Lineal 0.2 in
-15×(-x)=60
Lineal 1.2 in
35+x=75
Lineal 1.3 in
-x+157=-163
Lineal 2.2 in
x×(-8)=-80
Lineal 2.3 in
33×x=-990
Lineal 3.1 in
-x÷5+1=2
Lineal 3.2 in
-93-x×2=67
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
81.38≈81.4
Rounding 1.3 dp
37.997≈38
Rounding 2.2 dp
95.55-21.82≈73.7
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
Russian Vocabulary 2.4
ид альный
Lexicon 2.3
to ards [to]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-68+388=320
Conversant 2.4 in
-478+53+796=371
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
-238+968÷(-2-2)=-480
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
-86-6×2×2=-110
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
-36÷(-12)=3
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-720÷2÷3=-120
Logics 3.2 in
2×(30×(-8))=-480
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
437.208+312.792=750
Partitive 2.4 dp
197.999+214.085-122.084=290
Partitive 3.4 dp
160.427+(600-260.427)=500
Split 0.3 dn
27-88=-61
Split 0.4 dn
-582.667+45+112.667=-425
Split 1.3 dn
13.3-6.79=6.51
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
0.05-45.9-49.15=-95
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
32÷20=1.6
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
24.48÷1.224=20
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
99.8+19.6÷98=100
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
93.2-28.8÷22.5÷0.4=90
Definition 2.3 dp
37.337+26.01÷15÷1.734=38.337
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
11+28.5×1.2+2.8=48
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
1/2+(353/10+26149/620)=9669/124
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
18/19-1253/19=-65/1
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
1/13×91/15=7/15
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
19/2÷19/98×17/49=17/1
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
507/651=169/217
Limited 0.1 fp
35/4÷(34/5-43/10)=7/2
Limited 1.2 fp
82/3+138/5÷207/40=98/3
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
Complete 2.1 fn
(1/3+29/3)×3/4=15/2
Comparisons
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
90.929 > -81.469
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
358.696 < 358.713
Doted 2.3 dn
-26.235+81.349 > 37.149-92.266
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Lineal 0.3 in
x×44+770=110
Lineal 3.3 in
-980+213×x=-980
Lineal 4.3 in
(-959-x)×44=-396
System 1.1 ip
y+x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
акклим тизация
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
est blish
English Vocabulary 2.4
i pression
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
3224×11+4536=40000
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
572÷(-4)=-143
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
(269.824÷3.1)÷128=0.68
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
46.8÷75×16=9.984
Denary 5.4 dp
75.2×(125×0.05)=470
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
200+0.625×8+10=215
Definition 1.4 dp
46.08÷1.125-10.175=30.785
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
8.224-(299.981-299.801)×7.6=6.856
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
841.234-122.4÷9.375-988.178=-160
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
35÷5=7
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
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
1/2×35/2+313/4=87/1
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
(302/9-23/9)×11/31=11/1
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
-1/3-6299/66 < -181/10+488/5
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
10x2=0
Quadratic 1.1 in
2x2=0
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
x2-7x+12=0
System 0.1 ip
6x×4y=960
System 1.2 ip
y+x=76
System 2.1 ip
10x×2y=100
System 3.1 ip
3y-2x=7
Set 0.1 in
x+y=-2
Set 1.1 in
y-x=9
Set 2.1 in
-20y÷5x=1
Set 3.1 in
-6y-4x=100
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
f recast
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
s venteen
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
browbeat browbeaten [browbeat]
Infinitive 3.2
foresee [foresee]
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