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
863536-538372+354836=680000
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
-10+4-4=-10
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
400÷50×1250=10000
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
63÷3=21
Multiplier 1.4 ip
50000×140=7000000
Divisor 1.3 ip
7350÷49=150
Numeracy 0.2 ip
570-800÷(280-272)=470
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
Numeracy 1.3 ip
6400-40×55=4200
Numeracy 2.3 ip
250+560÷14+1663=1953
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
6750÷75=90
Remainder_ENG 1.3 ip
263÷27=9(20)
Decimal Examples
Partitive 0.1 dp
0.2+0.2=0.4
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5+3=8
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
9-7.6-1=0.4
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
21.1+(12.4+3.3)=36.8
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
1/4+3/4=1/1
Comparisons
Natural 0.4 ip
522270 > 22777
Natural 3.4 ip
6×13824 > 711610÷10
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
7 > -1
Ceil 2.1 in
-9+1 < -1-5
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
76 = 76
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
27/4 > 2/3
Improper 2.1 fp
7/10-1/10 > 5/6-1/3
Equations
Linear 0.2 ip
x÷6=8
Linear 0.3 ip
23+x=697
Linear 3.3 ip
280+37×x=724
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
(x-67)×39=897
Lineal 1.1 in
x+3=-7
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
754+14≈77
Round 0.2 ip
1555≈16
Round 0.3 ip
263×2351≈618
Round 1.3 ip
844542≈845
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
361600+911≈363
Round 3.1 ip
832÷2≈42
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
ver ion
Lexicon 1.3
un form [outfit]
Infinitive 2.1
bring [bring]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-5-2=-7
Conversant 0.2 in
-17+18-20=-19
Conversant 0.3 in
-77+23+20=-34
Conversant 1.2 in
8-16=-8
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
5-4+9=10
Conversant 2.3 in
-10-60+39=-31
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
-1+(11-18)=-8
Conversant 3.3 in
-7-(38+22)=-67
Conversant 4.1 in
(6-10)+(8+0)=4
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
32×25×(5×5)=20000
Cognizant 1.4 ip
741×1000=741000
Cognizant 2.4 ip
430000÷200=2150
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
693462÷231×162=486324
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
200×38÷(190×4)=10
Multiplier 1.5 ip
28000×1250=35000000
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
-33+6÷2=-30
Intellect 1.1 in
52+80÷5=68
Intellect 2.1 in
-2-96÷6÷8=-4
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
10×(-7)÷2=-35
Logics 3.1 in
(60÷4)×(-2)=-30
Logics 4.1 in
-27×4÷(-6×(-2))=-9
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
61.53-35-12=14.53
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
-4.3+10-7.2=-1.5
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
15.4-65=-49.6
Split 2.1 dn
4.7+6.9-9.7=1.9
Split 2.2 dn
68-45+70.8=93.8
Split 3.1 dn
5-(5.1-4.5)=4.4
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
Residual 1.1 dp
34÷10=3.4
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
0.96÷0.8=1.2
Denary 3.2 dp
2.88÷36=0.08
Denary 4.1 dp
81÷0.9÷37.5=2.4
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
30.4-4÷0.5=22.4
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
19/7-31/14+19/78=29/39
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
1/2+1/8+7/24=11/12
Numerator 3.1 fp
9/10-(7/10+1/10)=1/10
Numerator 3.2 fp
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
-1/4-1/8+1/8=-1/4
Denominator 1.1 fn
1/3-1/6=1/6
Denominator 2.1 fn
-1/5+2/5+1/5=2/5
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
5895/165=393/11
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
646 > -545
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
18+43 > -28+57
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
14 > 13.8
Point 0.2 dp
1.8×39.2 < 4.14×20
Point 1.2 dp
81 > 80.07
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
879.642 < 950.264
Point 2.2 dp
9.2+50.64 > 0.89+11.16
Point 2.3 dp
86.162-52.642 = 97.534-64.014
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
82.65 > -97.27
Doted 2.1 dn
-7.7+34.7 < -15.5+42.7
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
-1.8×4 < 36×2.53
Improper 0.1 fp
2/9+4/9 > 7/8-3/8
Improper 0.2 fp
3/82 < 1/1
Improper 1.3 fp
1703/128 > 71/352
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
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
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
-3/5 > -4/5
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
x-9=58
Lineal 2.2 in
-x÷5=4
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
10-2×x=0
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
45÷(-83-x)=-15
Rounding
Rounding 0.1 dp
15.7+14.2≈30
Rounding 0.2 dp
45.56-11.54≈34
Rounding 1.2 dp
74.91≈74.9
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
75.02-32.53≈42.5
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
68.8÷3≈23
Rounding 3.2 dp
88.3÷66≈1.3
Language Exercises
Russian Vocabulary 2.4
ид альный
English Vocabulary 3.3
s bject
Lexicon 2.3
to ards [to]
Infinitive 1.2
let let [let]
Infinitive 3.1
overspent [overspend]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
-170+1000+130=960
Conversant 2.5 in
278000-101822+61000=237178
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
361+10×21=571
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(1000÷4)÷25=10
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
197.999+214.085-122.084=290
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
-91+16=-75
Split 0.4 dn
-93.364+274.922=181.558
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
-4.26+(-2.64+40.1)=33.2
Split 3.4 dn
376.109+(-347.033-329.076)=-300
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
2.208÷(2.4×0.32)=2.875
Denary 1.3 dp
0.64×0.1=0.064
Denary 2.3 dp
1.125÷3=0.375
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
4.8×6.5×2.25=70.2
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
0.5×(3×0.064)=0.096
Definition 0.2 dp
11.4+1.6÷40+43.01=54.45
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
-4.788÷0.672+1.44÷22.5=-7.061
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
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
111/22+17/14=482/77
Denominator 1.2 fn
-5/42-19/42=-4/7
Denominator 1.3 fn
49/6+1049/90=892/45
Denominator 2.2 fn
-1/7+441/80-62/7=-279/80
Denominator 3.2 fn
-98/25-(2/5-63/10)=99/50
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
11/3÷1/6=22/1
Fragment 2.2 fp
21/2÷35/2÷3/40=8/1
Fragment 2.3 fp
5/2×49/5×57/49=57/2
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
(35/2×2/15)×139/7=139/3
Reduction 1.3 fp
2750/6650=55/133
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
1/2×(39/4-7/4)=4/1
Complete 0.1 fn
(-1/3-1/6)÷1/3=-3/2
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
(15/2-3/2)÷9/5=10/3
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-5×(-96) < 848000÷4
Point 0.3 dp
79.322÷17 > 93.24÷31.08
Point 0.4 dp
200 > 117.366
Point 2.4 dp
275.032+76.911 > 864.109-512.178
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
932.992÷4.736 > 40×0.864
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
95 > -78
Doted 1.4 dn
-370.644 < 939.731
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
305.864+17.178 < 69.175+253.869
Doted 3.3 dn
4.375×(-2.432) < 42.556÷(-4)
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
1/3+38/11 < -92/99+971/99
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
27/44÷(-81/100) < 1/2÷21/20
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
выр зительность
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
appr ving
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
3224×11+4536=40000
Intellect 1.3 in
-1907+3456÷12=-1619
Intellect 2.3 in
5300-4692×45÷15=-8776
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
-264÷(-66)=4
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
-8550÷(-15)×(-40÷10)=-2280
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
285.12÷10.56=27
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
589.171+0.9÷36×490=601.421
Definition 3.3 dp
40.04-(2.006+1.354)÷84=40
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
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
-126÷0.672-313.5=-501
Negatory 2.4 dn
-861.899-1.2×0.02+486.956=-374.967
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
-846.352+(108.508+57.372)÷2.5=-780
Residual_ENG 1.3 dp
27÷12=2.25
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(165/8×16/33)÷20/79=79/2
Limited 0.2 fp
1255/36-27/32×2104/81=233/18
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
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
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
693.585 > -920
Doted 3.4 dn
-343.387÷20.14 < 44.33÷2.6
Descent 0.3 fn
-5253/205+15818/205 > 1259/17-1413/34
Descent 2.3 fn
77135/956-661/956 < -53/52+4995/52
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
x2-7x+12=0
System 0.1 ip
y-x=3
System 1.2 ip
x+y=180
System 2.1 ip
3y×4x=432
System 3.1 ip
7y-4x=23
Set 0.1 in
-3y×12x=-324
Set 1.1 in
y+x=-3
Set 2.1 in
-9y×x=900
Set 3.1 in
10y+4x=128
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
cal ulation
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
g ther
Lexicon 1.5
uns ccessful [failed]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
cost cost [cost]
Infinitive 3.2
speed [speed]
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