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
40000+955560=995560
Beginner 4.5 ip
482824+210229+4045=697098
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
4-3=1
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
19×(26×40)÷2=9880
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
1200÷10=120
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
8449÷71=119
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
44.1-1.6+51.5=94
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
12.1+34.9=47
Partitive 2.1 dp
7.6-1.8-0.2=5.6
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
35.2÷0.5=70.4
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
12.6÷0.5=25.2
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
293913÷51 > 128×26
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
10+0 > 9-2
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
50.6 < 50.8
Point 2.1 dp
99.2-59.5 > 48.2-25.8
Improper 1.1 fp
1/7 < 1/2
Improper 1.2 fp
27/4 > 2/3
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
x÷6=8
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
4×(x+14)=100
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
x-10=-4
Lineal 2.1 in
-x×5=-10
Rounding
Rounding 1.1 dp
86.6≈87
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
942≈94
Round 0.2 ip
4126≈41
Round 0.3 ip
986524-96652≈890
Round 1.3 ip
102436≈102
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
388504+12707≈401
Round 3.1 ip
5×25≈13
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
игн рировать
Russian Vocabulary 3.3
пасный
English Vocabulary 1.3
r bbish
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
m ving
Lexicon 1.3
loca ion [place]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
7+10-17=0
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
10-3=7
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(9-7)-(7-1)=-8
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
960÷3=320
Cognizant 3.4 ip
450000÷150=3000
Cognizant 4.4 ip
71×21×615=916965
Cognizant 5.4 ip
70000÷(26250÷75)=200
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
51004×1300=66305200
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-16÷(-4)=4
Logics 1.1 in
-2×(-9)=18
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
40000÷25=1600
Decimal Examples
Partitive 0.3 dp
94.08-(75.71-69.07)=87.44
Partitive 1.3 dp
47.47-7.76=39.71
Partitive 2.3 dp
5.59+64.56-25.55=44.6
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
Split 0.1 dn
-2.2-2.2-1.3=-5.7
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
6-1.4-7.4=-2.8
Split 2.2 dn
55.5-97.7-35.3=-77.5
Split 3.1 dn
7.3-(9-6)=4.3
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
0.9×10=9
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
55.44÷42=1.32
Denary 4.1 dp
82.8÷23÷4.5=0.8
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
27.3+1.5÷(3.2+11.8)=27.4
Definition 1.1 dp
46.6-2.5×4=36.6
Definition 2.1 dp
3+48÷1.6÷37.5=3.8
Definition 3.1 dp
8×(9.9+2)÷17=5.6
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
Residual_ENG 1.1 dp
40÷2=20
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
77/8-37/8-115/27=20/27
Numerator 1.2 fp
479/58-425/58=27/29
Numerator 2.1 fp
7/9-4/9+1/2=5/6
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
5/6-1/6=2/3
Denominator 1.1 fn
1/3-1/6=1/6
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
1/6-(-1/2-1/6)=5/6
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
9423/189=349/7
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
Ceil 0.2 in
-80 < 60
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
18 > -61
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
-11-49 < -6+1
Ceil 2.3 in
-726+210 < 848-597
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
Point 0.1 dp
36 > 25.4
Point 0.2 dp
1.8×39.2 < 4.14×20
Point 1.2 dp
50 > 42.67
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
843.617 > 814.01
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
4.1+74.517 > 6.283+11.717
Point 3.1 dp
9.8÷0.7 > 45÷50
Point 3.2 dp
29.9÷10 < 18.9÷1.26
Doted 0.1 dn
0.8×(-37.5) = -90÷3
Doted 0.2 dn
-16.83-80.19 < 47.97-3.33
Doted 1.1 dn
27 > -32.8
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
-25-19 < 84.8-67.4
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
-97.2÷1.8 < 2×(-4.4)
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
7/9÷49/8 > 1/42÷1/3
Improper 1.3 fp
25052/267 > 1679/18
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
4/9÷1/2 > 3/5×1/3
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
615÷(-x)=41
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
2×x-30=90
Lineal 4.1 in
-4÷(-2+x)=-4
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
9.41×9.25≈87
Rounding 1.2 dp
58.34≈58.3
Rounding 1.3 dp
37.997≈38
Rounding 2.2 dp
7.21+28.36≈35.6
Rounding 2.3 dp
15.449+57.622≈73.07
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
89.1÷9.48≈9.4
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
incl de
Lexicon 2.3
unf irly [unjustly]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
seen [see]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-74-280+927=573
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
-130+48+764=682
Conversant 2.5 in
-118119+880000-889743=-127862
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
-(100000+90000)-(249388-209388)=-230000
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
-133-4×9×23=-961
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
430-960÷80+189=607
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
48÷(4×(-3))=-4
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
(10÷(-5))×(-10)=20
Logics 4.2 in
2×(-5)×(-100÷(-10))=-100
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
63.09+23.56=86.65
Split 0.4 dn
140+90=230
Split 1.3 dn
-93.76+11=-82.76
Split 1.4 dn
416.742+172.002=588.744
Split 2.3 dn
-95.7+85.46+45.64=35.4
Split 2.4 dn
23.835-253.278+394.52=165.077
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
105.845-(-165.539+141.384)=130
Residual 1.2 dp
20÷5=4
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
1.32÷44÷0.6=0.05
Denary 0.3 dp
0.5×0.12÷30=0.002
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
24.48÷1.224=20
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
20-8×0.8÷1.6=16
Definition 1.2 dp
2÷0.8+67.5=70
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
53.24-6.84÷4.5+23.26=74.98
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
Negatory 0.2 dn
0.64×(69-74)×0.25=-0.8
Negatory 1.2 dn
-7×4.4+11.44=-19.36
Negatory 1.3 dn
74+29.568÷1.2=98.64
Negatory 2.2 dn
-31.6-5.52×12÷1.84=-67.6
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
12÷15=0.8
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
-4/11-51/11=-5/1
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
Fragment 0.2 fp
1/3×51/19×741/17=39/1
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
17252/247=908/13
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
8/9÷1/41-67/9=29/1
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
120018+819982 > -357084+925279
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
79.322÷17 > 93.24÷31.08
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
707.652+80.746 = 130.247+658.151
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
6.4×5 < 64.026÷2
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
-440-x÷2=-493
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
x+y=3
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
мульт пликация
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
cr me
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
input [input]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-932-896÷16-108=-1096
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
5600÷(-5)÷2=-560
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
66.066÷9.75=6.776
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
8.96×25×0.05=11.2
Denary 5.4 dp
(1÷31.25)÷4=0.008
Definition 0.3 dp
4.32÷28.8+2.16÷1.728=1.4
Definition 0.4 dp
968.241+2.73÷0.624÷7=968.866
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
34.47-(12+7.2)×0.4=26.79
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
2.7×17.55-15.385=32
Negatory 2.4 dn
456.24-65.17×8÷14=419
Negatory 3.3 dn
31.665+72.8÷(28.971-32.299)=9.79
Negatory 3.4 dn
-1.25÷(620.233-622.733)×50=25
Residual_ENG 1.3 dp
36÷75=0.48
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
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
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
Limited 0.2 fp
777/40×(87/7-82/7)=111/8
Limited 1.3 fp
3/5×61/51+37/255=44/51
Limited 2.2 fp
39/17÷(4/3+113/3)=1/17
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
-2/3÷13/6-35/13=-3/1
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
85/1×26/85 < -12/17×(-153/4)
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
x2=100
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
y×15x=405
System 1.2 ip
y-x=36
System 2.1 ip
90y÷10x=30
System 3.1 ip
10x+4y=140
Set 0.1 in
y×15x=-300
Set 1.1 in
-y+x=-11
Set 2.1 in
8x×2y=-320
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
впр тык
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
g ther
Lexicon 1.5
grandda ghter [relative]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
speed [speed]
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