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
160216+61763-190025=31954
Beginner 5.5 ip
291757+(668981-380000)=580738
Conversant 1.1 in
-4-5=-9
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
8+0-9=-1
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
55×3×5=825
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
126÷14+168÷84=11
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
(598-570)×(21+22)=1204
Divisor_ENG 1.3 ip
6600÷40=165
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
51.9+(12+34.5)=98.4
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
3.3+7.4-2.2=8.5
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
27.3-(47.1-46)=26.2
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
3×6.6=19.8
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
84÷1.2=70
Divisional_ENG 1.1 dp
1.8÷3=0.6
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
703962-603037 > 746779-645871
Natural 3.4 ip
308370÷190 < 110124×8
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
-3 > -10
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
78.7 > 29.7
Point 2.1 dp
10.3+85.5 > 71.2-13.2
Improper 1.1 fp
9/10 > 1/5
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
45×(14+x)=720
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
(95-x)×16=80
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
x+3=-7
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
986-19≈97
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
952217-132070≈820
Round 1.3 ip
674799≈675
Round 2.2 ip
4031-2010≈20
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
516÷2≈26
Round 3.2 ip
358×25≈90
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
п ркет
English Vocabulary 2.3
ositive
English Vocabulary 3.2
s uare
Lexicon 1.3
pr per [correct]
Infinitive 2.1
wear [wear]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
-20+5=-15
Conversant 0.3 in
-48-(-43-79)=74
Conversant 1.2 in
-7-5=-12
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
4+(-5-10)=-11
Conversant 3.3 in
17-(90+20)=-93
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
237×692=164004
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
7500÷25=300
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
-20-7×8+23=-53
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
-2×(-9)=18
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
20÷(-2×(-2))×(-8)=-40
Divisor_ENG 1.4 ip
40000÷25=1600
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
8.6+48.12=56.72
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
0.1-7.6=-7.5
Split 0.2 dn
17.8-(100-92.2)=10
Split 1.1 dn
-8.9-1.1=-10
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
6-1.4-7.4=-2.8
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
3.7-(-3-2.4)=9.1
Split 3.2 dn
-7+(-14.5-70.1)=-91.6
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
21.12÷3=7.04
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
0.96÷0.8=1.2
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
81÷0.9÷37.5=2.4
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
93.7+1.5÷3÷0.5=94.7
Definition 1.1 dp
96÷3.2-9.3=20.7
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
-5.6×12.5+17.7=-52.3
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
11÷5=2.2
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
189/29-182/29=7/29
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
-8/9+1/9=-7/9
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
9/2÷21/4=6/7
Fragment 1.2 fp
41/3÷82/3=1/2
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
68/12=17/3
Reduction 1.2 fp
3231/129=1077/43
Limited 1.1 fp
8/9÷4/3+2/3=4/3
Comparisons
Ceil 0.2 in
-30+60 > -30+40
Ceil 0.3 in
873 > -188
Ceil 1.2 in
-80 < -74
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
832÷2 > 660÷6
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
80.2 > 13.27
Point 1.3 dp
45.147 > 39.876
Point 1.4 dp
950.553 > 56.38
Point 2.2 dp
99.53-2.7 < 99.04-2.19
Point 2.3 dp
4.1+74.517 > 6.283+11.717
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
29.9÷10 < 18.9÷1.26
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
12.6-82.6 < 3.59+9.41
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
6.97 > -10
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
4/9 > 1/6
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
92/397 < 8/11
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
1/3÷1/24 > 36/19×95/68
Descent 1.1 fn
-2/7 < 2/7
Descent 1.2 fn
-17/2 > -9/1
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
x×31=806
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
10.4×3≈31
Rounding 0.2 dp
97.77×0.8≈78.2
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
29.55+63.64≈93.2
Rounding 2.3 dp
0.671+68.427≈69.1
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
Russian Vocabulary 2.4
мит нг
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
typecast typecast [typecast]
Infinitive 3.1
drive [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
78-280=-202
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
-177674-(234978+201437)=-614089
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
105×7-765÷153=730
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
320÷(16÷2)÷10=4
Logics 1.2 in
92÷(-2)=-46
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(6×60)÷(-40)=-9
Logics 4.2 in
315÷(9÷(-3))÷7=-15
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
478.968-97.735-181.233=200
Partitive 1.4 dp
47+553=600
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
21-21.29-73.7=-73.99
Split 0.4 dn
440.198+399.032=839.23
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-22.45-6.22-11.74=-40.41
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
28.05÷5.1=5.5
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
9.6÷1.28=7.5
Denary 1.3 dp
15.125×0.032=0.484
Denary 2.3 dp
1.125÷3=0.375
Denary 3.3 dp
4.05×0.2=0.81
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
(2.5×0.016)÷20=0.002
Definition 0.2 dp
14×3.61+10.8÷90=50.66
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
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
37.337+26.01÷15÷1.734=38.337
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
15.84×2+30=61.68
Negatory 1.3 dn
-1.25×2.24-37.2=-40
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
20+10×0.033+41.27=61.6
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
1.32÷(29.16-33.16)×14=-4.62
Residual_ENG 1.2 dp
12÷15=0.8
Divisional_ENG 1.3 dp
0.096÷0.3=0.32
Fraction Examples
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
1/2-788/95+17/2=67/95
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
1/2÷1/23×97/46=97/4
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
Reduction 1.3 fp
286/1027=22/79
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
18/19-18/19÷36/17=1/2
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
-244716 > -949111
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-410000-51370 > -287597-173825
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
31.482+33.017 > -55.968+57.937
Doted 1.3 dn
9.453 > -26.863
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
4.375×(-2.432) < 42.556÷(-4)
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
4/5+1/5 > -1/4-3/4
Descent 0.2 fn
67/72 > -3/5
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-1/2×(-6/1) > 5/1×8/15
Equations
Lineal 0.3 in
979+x÷5=951
Lineal 3.3 in
-555+29×x=460
Lineal 4.3 in
(-959-x)×44=-396
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
est blish
English Vocabulary 2.4
expres ion
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
29600+1200×54÷27=32000
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
Logics 1.3 in
-264÷(-66)=4
Logics 2.3 in
-4×(-23)×(-65)=-5980
Logics 3.3 in
3×(36×(-40))=-4320
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
718.08÷5.984=120
Denary 1.4 dp
0.5×1.44=0.72
Denary 2.4 dp
230.4÷19.2=12
Denary 3.4 dp
42.24÷1.056=40
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
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
342.72÷21.76-3.758=11.992
Definition 2.4 dp
11.776÷256+212.8×0.035=7.494
Definition 3.3 dp
90.45+0.036÷(12.44-12.08)=90.55
Definition 3.4 dp
800.436-(39.298+325.202)÷7.29=750.436
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
101.99+28.125×19.2=641.99
Negatory 2.4 dn
-2.888+1.6÷16-79.181=-81.969
Negatory 3.3 dn
(-0.5-0.3)×(-23.533-1.967)=20.4
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
17÷40=0.425
Fraction Examples
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
3/4×16/57+11/19=15/19
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
(3/8+69/8)×1/9=1/1
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
35×12.288 > 26.496×16
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
10x2=0
Quadratic 1.1 in
5x2=0
Quadratic 2.1 in
-8x2+80x=0
Quadratic 3.1 in
2x2-2x-4=0
System 0.1 ip
8x-4y=16
System 1.2 ip
x+y=105
System 2.1 ip
10x×y=200
System 3.1 ip
7y-4x=23
Set 0.1 in
3y+6x=-30
Set 1.1 in
y+x=-1
Set 2.1 in
414y÷2x=-92
Set 3.1 in
-1x-y=19
Language Exercises
Russian Vocabulary 2.5
к ньон
English Vocabulary 1.5
anniv rsary
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
themsel es
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
undercut [undercut]
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