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
479830-(650000-640891)=470721
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-427576+192054=-235522
Conversant 2.1 in
0-2+3=1
Cognizant 0.3 ip
160÷16÷2=5
Cognizant 4.3 ip
9856÷8÷2=616
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
570-800÷(280-272)=470
Numeracy 0.3 ip
4704÷28+2280÷760=171
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
220-912÷(2+74)=208
Numeracy 3.3 ip
(3334-3064)÷(1300-1270)=9
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
720÷8=90
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
23.4+21.6=45
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
58.2-1.7+34=90.5
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
15.9+(5.7+32)=53.6
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
68.4÷3.8=18
Denary 3.1 dp
15.6÷0.8=19.5
Divisional_ENG 1.1 dp
19÷0.4=47.5
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
585389 > 324258
Natural 3.4 ip
729615÷127 < 288×75
Ceil 0.1 in
-2×(-3) > 10÷(-10)
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
-9+1 < -1-5
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
27/40 > 7/20
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
23+x=697
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
648÷(x+6)=108
Lineal 1.1 in
x-10=-4
Lineal 2.1 in
x÷(-10)=1
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
2.8+54.2≈57
Round 0.1 ip
675÷9≈8
Round 0.2 ip
6411≈64
Round 0.3 ip
52760+136268≈189
Round 1.3 ip
674799≈675
Round 2.2 ip
9109+131≈92
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
3×193≈58
Round 3.2 ip
5770÷10≈6
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
иде логия
Russian Vocabulary 3.3
п ркет
English Vocabulary 1.3
pr per
English Vocabulary 3.2
ro gh
Lexicon 1.3
pr per [correct]
Infinitive 2.1
take [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
-3-7-2=-12
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
-7-(1-8)=0
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
17-(90+20)=-93
Conversant 4.1 in
(10+5)+(1-9)=7
Conversant 4.2 in
(0-18)+(20+16)=18
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
25×16×1000=400000
Cognizant 5.4 ip
70000÷(26250÷75)=200
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
28000×1250=35000000
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
22×2-13=31
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-38÷2=-19
Logics 2.1 in
-16÷(-2)÷(-2)=-4
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
61.53-35-12=14.53
Partitive 3.3 dp
95.31-(35.34+44.97)=15
Split 0.1 dn
-4.3+10-7.2=-1.5
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-4+6.8-4.8=-2
Split 2.2 dn
-95.2+87.5-35.5=-43.2
Split 3.1 dn
3.7-(-3-2.4)=9.1
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
20÷2=10
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
0.6×0.5=0.3
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
81÷0.9÷37.5=2.4
Denary 5.1 dp
1.6×(5×0.1)=0.8
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
16.4-35.2÷8=12
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
0.8×(23.9-21.4)×10=20
Negatory 1.1 dn
2.1+51.3÷19=4.8
Negatory 2.1 dn
95-0.6×32.5÷0.1=-100
Residual_ENG 1.1 dp
57÷10=5.7
Divisional_ENG 1.2 dp
14.4÷2.4=6
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
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
7/9-4/9+1/2=5/6
Numerator 2.2 fp
119/87+484/87-201/29=0/1
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
33/2÷99/26=13/3
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
8300/580=415/29
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
58 < 517
Ceil 1.2 in
42 > -21
Ceil 1.3 in
268 > -563
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
320-0 > -582+530
Ceil 3.2 in
-88÷(-2) > 2×20
Ceil 3.3 in
23×(-4) > -790÷2
Point 0.1 dp
13+55.3 > 45-1.4
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
15.49 < 30.74
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
533.338 > 450.065
Point 2.2 dp
99.14-4.49 > 25.21+13.02
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
2.8×22 > 5×6.24
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
-71.1 < -31
Doted 1.2 dn
6.97 > -10
Doted 2.1 dn
59+13.2 > -56+77
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
238/43-226/43 < 1/2+7/86
Improper 2.3 fp
156/5+12237/215 > 4001/43-657/43
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
x+4=-6
Lineal 0.2 in
-66÷x=3
Lineal 1.2 in
-14-x=14
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
-42×x=-420
Lineal 3.1 in
4-2×x=4
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
(-x+6)×3=9
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
13.135+55.407≈68.54
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
s bject
Lexicon 2.3
to ards [to]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-505-285=-790
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
141-391=-250
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
-987259+785779-38520=-240000
Conversant 3.4 in
287-(582+82)=-377
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
-528÷(-16)×13=429
Logics 1.2 in
-36÷(-4)=9
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
2×(30×(-8))=-480
Logics 4.2 in
20×(-26÷13)×(-8)=320
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
600-(45+555)=0
Split 0.3 dn
90-(9.88+99.84)=-19.72
Split 0.4 dn
150.322+(307.251-564.84)=-107.267
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
416.742+172.002=588.744
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
-96.68-(60.52-98.2)=-59
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
3.4×4=13.6
Denary 2.3 dp
0.644÷64.4=0.01
Denary 3.3 dp
0.572÷2.75=0.208
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
4.8×6.5×2.25=70.2
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
61.675+0.768÷0.64=62.875
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
Negatory 0.2 dn
-78.41+89.1÷(11.52-52.02)=-80.61
Negatory 1.2 dn
20÷12.5+24.46=26.06
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
Residual_ENG 1.2 dp
50÷25=2
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
5/33+17/33=2/3
Denominator 1.3 fn
-1/2-1748/33=-3529/66
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
44/5×(1/5×15/4)=33/5
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
2024/46=44/1
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
Complete 1.1 fn
3/4×50/9+5/2=20/3
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
271305 > -271305
Ceil 2.4 in
-388433+544440 > -91637-66686
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
114.255+111.831 > 12.48+37.52
Point 2.4 dp
206+587.489 < 972.414-40.879
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
-890.483 < 890.478
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
Doted 2.4 dn
-426.077+261.642 < -41.617+503.363
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
-648/751 < 168/5
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
600÷x-25=-65
Lineal 4.3 in
(x-964)×95=570
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
бук нист
Russian Vocabulary 3.4
выр зительность
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
midni ht
Lexicon 1.4
h morous [jocular]
Infinitive 2.2
underwrite [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(86+14)×(23+227)=25000
Intellect 1.3 in
6600-100×100=-3400
Intellect 2.3 in
-9273-1112×80÷40=-11497
Intellect 3.3 in
6298+22÷(3400-3389)=6300
Logics 0.3 in
5600÷(-5)÷2=-560
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
-2×250÷25=-20
Logics 3.3 in
(4×400)÷(-100)=-16
Logics 4.3 in
-81×(-3×(-28))÷14=-486
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
3.456÷15.36=0.225
Denary 1.4 dp
4.5×0.012=0.054
Denary 2.4 dp
0.6÷18.75=0.032
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(143.208÷3.4)÷405=0.104
Definition 0.3 dp
4.5÷0.5-6=3
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
342.72÷21.76-3.758=11.992
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
Definition 3.3 dp
11.875÷(20.369+4.631)×4.6=2.185
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
Negatory 0.3 dn
63×0.352+54.075=76.251
Negatory 0.4 dn
960.4+320÷200=962
Negatory 1.4 dn
-126÷0.672-313.5=-501
Negatory 2.4 dn
9.375×0.096-20÷12.5=-0.7
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
1749/260-(-1033/260+857/10)=-75/1
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
218/9÷(1/2+1/6)=109/3
Limited 1.3 fp
152/3-12/13×133/18=570/13
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
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
41/10×(1/2+1/6)=41/15
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
1764/143÷(-98/779) < -61/1×3/671
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
5x2=405
Quadratic 2.1 in
-6x2-48x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
80y÷10x=8
System 1.2 ip
x+y=146
System 2.1 ip
7y×x=280
System 3.1 ip
4x+6y=100
Set 0.1 in
2x×y=160
Set 1.1 in
-x+y=-6
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-7y-3x=91
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
sp ritual
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
withdraw withdrew [withdraw]
Infinitive 3.2
sowed [sow]
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