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
957514-57514=900000
Beginner 4.5 ip
61973+838027-83493=816507
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
-3-1-5=-9
Cognizant 0.3 ip
(80×125)÷5=2000
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
(100×18)÷24=75
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
436÷67=6(34)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
137×2+60÷2=304
Numeracy 0.3 ip
4046+46×438=24194
Numeracy 1.3 ip
3200+44×140=9360
Numeracy 2.3 ip
695+2000÷16÷25=700
Numeracy 3.2 ip
(22+18)×(14+6)=800
Numeracy 3.3 ip
52+(50+54)×12=1300
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
31.6÷4=7.9
Denary 3.1 dp
38.4÷4=9.6
Fraction Examples
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
-2-0 > -2-3
Ceil 1.1 in
3 > -8
Ceil 2.1 in
-2-6 > -4-5
Ceil 3.1 in
-8÷2 < -4÷2
Point 1.1 dp
91.5 > 17.7
Point 2.1 dp
0.6+4.5 < 68.4-63.1
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
445/68 < 7/1
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
58-x=28
Linear 0.3 ip
x×90=630
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
15.3+24.9≈40
Round 0.1 ip
111+141≈25
Round 0.2 ip
4×2234≈89
Round 0.3 ip
147857≈148
Round 1.3 ip
402442≈402
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
228÷3≈8
Round 3.2 ip
87×13≈11
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
perate
English Vocabulary 3.2
uni ue
Lexicon 1.3
s ream [course]
Infinitive 2.1
quick-freeze [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4-6=-10
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
-20+3=-17
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
-7+14-37=-30
Conversant 3.1 in
-2-(1+4)=-7
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
-80-(-50-50)=20
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(19-17)-(1+13)=-12
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
550×456=250800
Cognizant 2.4 ip
430000÷200=2150
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
(200÷4)×1000=50000
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
5268×7432=39151776
Divisor 1.4 ip
7500÷25=300
Intellect 0.1 in
90÷2-76=-31
Intellect 1.1 in
16×3-90=-42
Intellect 2.1 in
7×10+72÷9=78
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
-66÷(-36÷6)×5=55
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-5×(6÷3)×9=-90
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
70-58+33=45
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
Split 0.2 dn
-65.5-19.4=-84.9
Split 1.1 dn
-6+5.5=-0.5
Split 1.2 dn
91+3=94
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
2.4-0.1-80.3=-78
Split 3.1 dn
-2.2+(-4.9-2.8)=-9.9
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
34÷10=3.4
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
27×0.2=5.4
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
96÷3.2-9.3=20.7
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
2.1+51.3÷19=4.8
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Fraction Examples
Numerator 0.1 fp
8/9-1/9-1/3=4/9
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
Numerator 1.2 fp
189/29-182/29=7/29
Numerator 2.1 fp
1/3-1/9+4/9=2/3
Numerator 2.2 fp
49/8-409/72+59/9=7/1
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
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
-3/10-1/2=-4/5
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
4/3÷8/3=1/2
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
9423/189=349/7
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
43 > 16
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-2×33 < -84÷3
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
73.6-2.7 > 14.2+56.2
Point 0.2 dp
56.88-4.25 < 1.7+50.94
Point 1.2 dp
77.77 > 77.76
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
99.53-2.7 < 99.04-2.19
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
48÷8 > 0.5×8
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
-63.97 < 63.96
Doted 2.1 dn
-1.5+100 > 62.2+3.8
Doted 2.2 dn
-79.74+53 < 79.43+3.57
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
Improper 0.2 fp
227/79 > 1/2
Improper 1.3 fp
132/361 < 8109/722
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
257/3-4543/303 > 22909/808-20613/808
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
-253/30 < -129/16
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
-58-x=32
Lineal 1.2 in
-97+x=-37
Lineal 1.3 in
x+56=-24
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
x÷3=-291
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
-100÷x-10=0
Lineal 4.1 in
-4×(3-x)=4
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
75.8-1.3≈75
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
94.006-31.514≈62.49
Rounding 3.1 dp
21.5×1.5≈32
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
cl mbing
Lexicon 2.3
some ne [person]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
daydream [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-68+388=320
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
806+(-803-181)=-178
Conversant 3.5 in
-82240+(96655-819676)=-805261
Conversant 4.4 in
-(86+70)-(14+130)=-300
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
99-247÷19=86
Intellect 1.2 in
65×18-700=470
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
-302-4÷(2+2)=-303
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
72÷3=24
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
-900÷3÷(-5×5)=12
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-91+16=-75
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
-95.63+65.28=-30.35
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-35.09+20.59-79.31=-93.81
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
-1.78-(12.26+28.06)=-42.1
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
3.75×4=15
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
Denary 1.3 dp
6.075×5.12=31.104
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
10.35×5.28=54.648
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
18×2.8×0.115=5.796
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
99.8+19.6÷98=100
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
70+66÷3.52÷93.75=70.2
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
14/5-143/60=5/12
Denominator 1.3 fn
18/19-1253/19=-65/1
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
Fragment 1.3 fp
7/10×25/4=35/8
Fragment 2.2 fp
21/2÷35/2÷3/40=8/1
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
17/2-2/3×37/4=7/3
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
80.032 > 9.426
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
82.488÷6.874 > 7.2×1.365
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
7/10 > 1/3
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
enor ous
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
shoe [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-1925+48×75+2661=4336
Intellect 3.3 in
4859+(-60-100)×53=-3621
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
4×(-500)÷(-5)=400
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
Negatory 0.4 dn
-158.08+3.6×107.8=230
Negatory 1.4 dn
0.5×270+585.931=720.931
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
540.624+412.17 > 324.749+572.751
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
241/5-16131/340 > -766/9+56/1
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
compl te
Lexicon 1.5
grandda ghter [relative]
Lexicon 2.4
contrib te [promote]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
bend [bend]
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