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
783110+162887-150397=795600
Beginner 4.5 ip
114479+71580+313941=500000
Beginner 5.5 ip
77568+(248800+351933)=678301
Conversant 1.1 in
-4-5=-9
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
-2-1+0=-3
Cognizant 0.3 ip
160÷16÷2=5
Cognizant 4.3 ip
9856÷8÷2=616
Cognizant 5.3 ip
(5×50)÷2=125
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
1000÷29=34(14)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
2410÷10=241
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
Divisor_ENG 1.3 ip
900÷90=10
Remainder_ENG 1.3 ip
720÷8=90
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5-4.7=0.3
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
4.8+7-2.8=9
Partitive 2.2 dp
38-33.9+54=58.1
Partitive 3.1 dp
2+(6.6-0.2)=8.4
Partitive 3.2 dp
57-(33.5+3.5)=20
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
68.4÷3.8=18
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
19÷0.4=47.5
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
772000÷193 < 519483÷129
Natural 3.4 ip
308370÷190 < 110124×8
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
-7 > -8
Ceil 2.1 in
9-4 > -6+10
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
454/61 < 25/3
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
18+48÷x=20
Linear 0.3 ip
x÷5=90
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x-67)×39=897
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
x÷3=3
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
48.8+1.1≈50
Round 0.1 ip
9×101≈91
Round 0.2 ip
304+2279≈26
Round 0.3 ip
727×1288≈936
Round 1.3 ip
608331≈608
Round 2.2 ip
1780+667≈24
Round 2.3 ip
388504+12707≈401
Round 3.1 ip
29×29≈84
Round 3.2 ip
4494÷2≈22
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
гум низм
English Vocabulary 1.3
p enty
English Vocabulary 2.3
contin e
English Vocabulary 3.2
m ving
Lexicon 1.3
s ream [course]
Infinitive 2.1
misteach [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
47-22-16=9
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
51-(-17-18)=86
Conversant 4.1 in
(10+5)+(1-9)=7
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
(30+84)+(64-97)=81
Cognizant 0.4 ip
3080÷(70×2)=22
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
320970÷390=823
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-70+2×17=-36
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
-30+10×3×3=60
Intellect 3.1 in
50+(-28-30)×2=-66
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
10×(-3)×(-3)=90
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
12.29+80.11=92.4
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
96.35-(20+10)=66.35
Split 0.1 dn
4.7+(-1-1.1)=2.6
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
-6+5.5=-0.5
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
-4+6.8-4.8=-2
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
0.18÷2=0.09
Denary 0.1 dp
0.9×10=9
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
3.8×11-25.4=16.4
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
8×(9.9+2)÷17=5.6
Negatory 1.1 dn
6×1.8+1.4=12.2
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
56÷2=28
Divisional_ENG 1.2 dp
0.52÷2=0.26
Fraction Examples
Numerator 0.1 fp
8/9-1/9-1/3=4/9
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
2/3+307/75=119/25
Numerator 2.1 fp
1/2+1/2-3/8=5/8
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
Denominator 0.1 fn
5/6-1/6=2/3
Denominator 1.1 fn
-1/2-1/2=-1/1
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
112/9÷14/45=40/1
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
Reduction 1.1 fp
72/81=8/9
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
Ceil 0.2 in
1+0 > 2-63
Ceil 0.3 in
-833+766 < 5+55
Ceil 1.2 in
65 > -16
Ceil 1.3 in
450 > -610
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-88÷(-2) > 2×20
Ceil 3.3 in
832÷2 > 660÷6
Point 0.1 dp
59.7 < 76.5
Point 0.2 dp
82.87 < 98.31
Point 1.2 dp
23 > 21.12
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
9.2+50.64 > 0.89+11.16
Point 2.3 dp
87.041-0.599 > 0.046+0.028
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
15.2+3.5 > -18-10.2
Doted 0.2 dn
-4.5×(-4) < -61.2÷(-2.04)
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
1541/416 > 5/13
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
Improper 3.1 fp
2/3×1/2 < 2/9÷1/3
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
-692/85 < -31/50
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
-x×2-10=6
Lineal 0.2 in
-58-x=32
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
x-9=58
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
-60-2×x=100
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
81.38≈81.4
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
56.95-34.17≈22.8
Rounding 2.3 dp
73.476-43.479≈30
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
pea eful
Lexicon 2.3
fa rly [quite]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
unspin [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(74+223)+(670+7)=380
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-602+442=-160
Conversant 2.4 in
742+557-390=909
Conversant 2.5 in
-118119+880000-889743=-127862
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
-114464-(-343305+181000)=47841
Conversant 4.4 in
(50+199)-(544-575)=280
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
-176-(903-957)÷9=-170
Logics 0.2 in
48÷(4×(-3))=-4
Logics 1.2 in
-17×37=-629
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
18-18=0
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
-71-489.921=-560.921
Split 1.3 dn
67.28+22.69=89.97
Split 1.4 dn
-560+242.697=-317.303
Split 2.3 dn
-95.7+85.46+45.64=35.4
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
0.009÷0.09=0.1
Denary 0.2 dp
9.6×0.5×12.5=60
Denary 0.3 dp
31.68÷5.5=5.76
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
4.05×0.2=0.81
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
(12.8÷8)÷0.64=2.5
Denary 5.3 dp
0.945÷(0.756÷18)=22.5
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
7.8×11.4-38.92=50
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
34.12+72.6×0.75÷2.25=58.32
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
92÷4=23
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
227/3-2/3-118/3=107/3
Numerator 1.3 fp
127/9+89/9=24/1
Numerator 2.3 fp
45/8+35/8+612/41=1022/41
Numerator 3.3 fp
206/9+(397/9-8212/809)=45991/809
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
-52/63+5/7=-1/9
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
2/5×15/16=3/8
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
(13/2-11/6)×5/7=10/3
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
Complete 1.1 fn
39/7+16/5÷7/4=37/5
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
-2×(-18) < 9000×6
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
260×(-30) > 44684÷(-4)
Point 0.3 dp
2.718 < 2.731
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
1.38×8.5 < 33.75×1.6
Point 3.4 dp
6.4×5 < 64.026÷2
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
95 > -78
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
1.4×(-61.2) < -57.116×1.5
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-17/31×(-38/17) > -48/11×11/8
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
Descent 3.2 fn
-1/4÷(-24/35) = 1/4×35/24
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
-99×x-990=0
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
нев данный
English Vocabulary 2.4
i pression
Lexicon 1.4
basi [main]
Infinitive 2.2
swell [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
-1925+48×75+2661=4336
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
-336÷(-8)=42
Logics 2.3 in
62×(-4)×(-40)=9920
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
17.25×0.004=0.069
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
74.8×13×0.055=53.482
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
239.904÷940.8+195.996=196.251
Definition 1.4 dp
526.342-312.5×0.32=426.342
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
Definition 3.3 dp
90.45+0.036÷(12.44-12.08)=90.55
Definition 3.4 dp
8.224-(299.981-299.801)×7.6=6.856
Negatory 0.3 dn
-0.676÷3.25-2×0.014=-0.236
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
Negatory 1.4 dn
0.5×270+585.931=720.931
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
36÷75=0.48
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
Limited 1.3 fp
12/299+2/9÷13/18=8/23
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
Doted 0.4 dn
693.585 > -920
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
-x2-6x+16=0
Quadratic 1.1 in
4x2=256
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
y+x=15
System 1.2 ip
x+y=180
System 2.1 ip
90y÷10x=30
System 3.1 ip
10y+4x=116
Set 0.1 in
3y+6x=-30
Set 1.1 in
-y+x=-11
Set 2.1 in
-3y×4x=-960
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
как ду
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
ei hteenth
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
ab ent [gone]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
become [become]
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