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
247460+235469+495207=978136
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
821768-(742824-556000)=634944
Conversant 1.1 in
6-8=-2
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
9044÷(2×2)=2261
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
910÷100=9(10)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
1200÷10=120
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
4046+46×438=24194
Numeracy 1.3 ip
7200÷16-250=200
Numeracy 2.3 ip
3110×30+5400÷27=93500
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
(598-570)×(21+22)=1204
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
30.6+39.3+24=93.9
Partitive 1.1 dp
7-0=7
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
39.9+29+5.1=74
Partitive 3.1 dp
2+(6.6-0.2)=8.4
Partitive 3.2 dp
67-(60-44)=51
Divisional 1.1 dp
35.2÷0.5=70.4
Denary 1.1 dp
6×6.6=39.6
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
84÷1.2=70
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
114×7 > 3×4
Ceil 0.1 in
6 > -1
Ceil 1.1 in
7 < 10
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
1/6 < 9/10
Improper 1.2 fp
20/37 < 661/74
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
x×90=630
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
(x+25)×2=76
Linear 4.3 ip
220×(795-x)=440
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
510-333≈18
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
102436≈102
Round 2.2 ip
9959-168≈98
Round 2.3 ip
361600+911≈363
Round 3.1 ip
29×29≈84
Round 3.2 ip
1004×8≈80
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 2.3
creat re
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
quick-freeze [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
-18+3=-15
Conversant 0.3 in
-30+(-93+73)=-50
Conversant 1.2 in
-7-5=-12
Conversant 1.3 in
-61+51=-10
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
(10+5)+(1-9)=7
Conversant 4.2 in
-(16-18)+(13-13)=2
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
982×594=583308
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
70000÷(26250÷75)=200
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
7734×7000=54138000
Divisor 1.4 ip
22400÷32=700
Intellect 0.1 in
22×2-13=31
Intellect 1.1 in
-32-2×19=-70
Intellect 2.1 in
28-69÷23-95=-70
Intellect 3.1 in
63-30÷(6+4)=60
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
12÷2=6
Logics 2.1 in
4×2×8=64
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
5.59+64.56-25.55=44.6
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
6.3-4.4=1.9
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
-45.3-30-10=-85.3
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
-15.2+(-61-17.1)=-93.3
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
20.4÷0.8=25.5
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
35×0.12=4.2
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
0.8÷0.5×2.5=4
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
6×0.5+3.6÷1.2=6
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
-18÷1.8-23=-33
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Residual_ENG 1.1 dp
58÷10=5.8
Divisional_ENG 1.2 dp
45.6÷3=15.2
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
29/5-(59/30-13/18)=41/9
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
3/5-(9/10-4/5)=1/2
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
Denominator 1.1 fn
-1/8-3/4=-7/8
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
Denominator 3.1 fn
-1/3+(1/3-1/3)=-1/3
Fragment 1.1 fp
1/3÷2/5=5/6
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
9423/189=349/7
Limited 1.1 fp
2/3×6/7+3/7=1/1
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
-410 < 1000
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
100÷(-25) < -90÷30
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
79.15 > 74
Point 1.3 dp
83.811 < 83.827
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
34.5×2 > 97.2÷8.1
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
Doted 0.2 dn
-77.16 < 89
Doted 1.1 dn
-66.5 < 30.1
Doted 1.2 dn
13 > -0.47
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
227/79 > 1/2
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
-1/10 < 3/5
Descent 1.2 fn
-264/49 < 125/17
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
-x-36=4
Lineal 1.3 in
894-x=139
Lineal 2.2 in
-58÷(-x)=2
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
-3-x÷5=-5
Lineal 3.2 in
52+94÷x=54
Lineal 4.1 in
-10÷(1-x)=2
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
15.7+14.2≈30
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
29.55+63.64≈93.2
Rounding 2.3 dp
3.977+18.018≈22
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
бр дячий
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
overspill overspilt [overspill]
Infinitive 3.1
tread [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
-340000+470000-406000=-276000
Conversant 1.4 in
-499+18=-481
Conversant 2.4 in
-586-990+749=-827
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
326-(-37-39)÷4=345
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-10×20=-200
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
Partitive 1.4 dp
399.582+9.241=408.823
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
21-21.29-73.7=-73.99
Split 0.4 dn
119.87-341.97+409.266=187.166
Split 1.3 dn
67.28+22.69=89.97
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
-600+543.786+24.469=-31.745
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
0.952÷0.448=2.125
Denary 0.2 dp
3.75×4=15
Denary 0.3 dp
5.75×0.064=0.368
Denary 1.3 dp
1.28×3.125=4
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
4.05×0.2=0.81
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
0.8×0.5÷0.004=100
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
Denary 5.3 dp
(2.5×0.016)÷20=0.002
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
65.713+3.519×4=79.789
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
38.8-1.3×32×0.5=18
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
Negatory 0.2 dn
-67.71+77.76÷(1.07+1.33)=-35.31
Negatory 1.2 dn
-7×4.4+11.44=-19.36
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
-31.6-5.52×12÷1.84=-67.6
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
84÷6=14
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
33/20-(1/5+9/20)=1/1
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
Fragment 0.2 fp
1/2÷3/5=5/6
Fragment 1.3 fp
81/2÷9/20=90/1
Fragment 2.2 fp
2/3×59/2÷236/5=5/12
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
Fragment 3.1 fp
(1/2÷3/2)÷3/8=8/9
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
57920/880=724/11
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
Limited 1.2 fp
122/13-1/2÷13/62=7/1
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(-1/3-1/6)÷5/6=-3/5
Comparisons
Ceil 0.4 in
-438376+764292 > -138143-462878
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
Point 0.3 dp
80.032 > 9.426
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
4.467+37.136 < 126.849+127.583
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
954.085÷10.043 > 26×2.53
Doted 0.3 dn
90.929 > -81.469
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
5.133+9.104 < -18.552+32.805
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
1/2-1/4 < -2/9+8/9
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
-648/751 < 168/5
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
б рельеф
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
initi tive
English Vocabulary 2.4
c iling
Lexicon 1.4
caref l [anxious]
Infinitive 2.2
sown [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-3528÷49+30×1167=34938
Intellect 1.3 in
1657×11+3560=21787
Intellect 2.3 in
-5264×11-91×56=-63000
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
20×(-10)=-200
Logics 2.3 in
-170÷17÷2=-5
Logics 3.3 in
(192÷(-32))×40=-240
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
54÷40=1.35
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
11.4÷30.4=0.375
Denary 3.4 dp
51.48÷3.75=13.728
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
262.198-1.25×80=162.198
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
32.05-0.045÷(0.5+0.4)=32
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
Negatory 0.4 dn
-1.2×384.8+246.534=-215.226
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
Residual_ENG 1.3 dp
63÷24=2.625
Fraction Examples
Denominator 0.3 fn
-24749/508+27/254=-24695/508
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
(165/8×16/33)÷20/79=79/2
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
(1/5+3/10)÷13/20=10/13
Complete 0.2 fn
765/44÷85/4+343/11=32/1
Complete 1.3 fn
105/152×368/735-8/133=2/7
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
-1.728×15 < -145.348÷(-10.382)
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
6x2=216
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
-x2+12x-11=0
System 0.1 ip
y+x=15
System 1.2 ip
x-y=65
System 2.1 ip
10x×2y=100
System 3.1 ip
10y+4x=116
Set 0.1 in
-10y×8x=800
Set 1.1 in
y-x=1
Set 2.1 in
2x×24y=768
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
к ньон
English Vocabulary 1.5
respons bility
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
appre iate
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
anal se [decompose]
Infinitive 1.3
withdraw withdrawn [withdraw]
Infinitive 3.2
sow [sow]
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