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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 1.5 in
-427576+192054=-235522
 
 
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
 
 
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
 
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 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 1.2 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 3.3 ip
x÷463-1=0
 
Linear 4.2 ip
15×(x-44)=30
 
Linear 4.3 ip
648÷(x+6)=108
 
 
Lineal 2.1 in
x÷(-10)=1
Rounding
 
 
 
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
 
 
 
 
 
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 2.3 in
-100+56+14=-30
 
 
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
 
 
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
 
 
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 1.2 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 2.2 in
10×(-x)=70
 
Lineal 2.3 in
-42×x=-420
 
 
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 0.2 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
 
 
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
 
 
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
 
Rounding
 
 
Rounding 0.3 dp
10.004≈10
 
Rounding 3.3 dp
12÷25.802≈0.47
Language Exercises
 
 
Russian Vocabulary 1.5
бук нист
 
Russian Vocabulary 3.4
выр зительность
 
 
 
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
 
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 3.1 in
-2x2+6x+8=0
 
System 0.1 ip
80y÷10x=8
 
 
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
 
 
 
 
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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