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
1961+910910=912871
Beginner 4.5 ip
920719-206513-124206=590000
Beginner 5.5 ip
956690-(928328-12477)=40839
Conversant 1.1 in
4-3=1
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
720÷(12×2)=30
Cognizant 6.3 ip
4×20÷(2×4)=10
Remainder 1.3 ip
63÷3=21
Multiplier 1.4 ip
48333×171=8264943
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
3200+44×140=9360
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Decimal Examples
Partitive 0.1 dp
0.2+0.2=0.4
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
0.3÷0.2=1.5
Denary 1.1 dp
17.5×1.6=28
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
7×1.2=8.4
Fraction Examples
Numerator 1.1 fp
7/9-1/3=4/9
Comparisons
Natural 0.4 ip
585389 > 324258
Natural 3.4 ip
297×95 > 135010÷10
Ceil 0.1 in
-6÷(-3) > -8÷4
Ceil 1.1 in
-3 > -10
Ceil 2.1 in
2-4 < 7+3
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
48.7 > 44.5
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
7/10 > 2/3
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
9/10-1/10 > 4/5-2/5
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
119+930÷x=150
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
616÷(12+x)=28
Lineal 1.1 in
-x+10=2
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
13.2≈13
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
691≈69
Round 0.2 ip
1528≈15
Round 0.3 ip
263×2351≈618
Round 1.3 ip
102436≈102
Round 2.2 ip
10000-7284≈27
Round 2.3 ip
719921-166217≈554
Round 3.1 ip
32×7≈22
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
317850÷489≈1
Language Exercises
Russian Vocabulary 1.4
сан торий
Russian Vocabulary 3.3
прис гать
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
s uare
Lexicon 1.3
lly [join]
Infinitive 2.1
oversee [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-61+51=-10
Conversant 2.2 in
13-6-2=5
Conversant 2.3 in
91-63-88=-60
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
-10-(-3-6)=-1
Conversant 3.3 in
-10-(40+30)=-80
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(16-18)+(13-13)=2
Conversant 4.3 in
(30+84)+(64-97)=81
Cognizant 0.4 ip
(15360÷24)×265=169600
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
24000÷(48÷3)=1500
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
-33+6÷2=-30
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
5×2=10
Logics 2.1 in
4×2×8=64
Logics 3.1 in
10×(-2×(-3))=60
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Decimal Examples
Partitive 0.3 dp
80-19.62+39.62=100
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
77-55.38+39.66=61.28
Partitive 3.3 dp
95.31-(35.34+44.97)=15
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
34.4-9.9-77=-52.5
Split 1.1 dn
0.6-7.5=-6.9
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
1.9+2.6-4.7=-0.2
Split 2.2 dn
-69.5+99.4-60.7=-30.8
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
11.3-(-78.9-0.8)=91
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
30.24÷1.12=27
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
0.6×0.5=0.3
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
100÷2.5÷10=4
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
Definition 1.1 dp
16.4-35.2÷8=12
Definition 2.1 dp
23.4+1.2×45-50=27.4
Definition 3.1 dp
(91.2-87.9)÷(0.5+0.6)=3
Negatory 1.1 dn
-8.5×5-45.5=-88
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
167/18-67/90=128/15
Numerator 2.1 fp
7/9-1/9-4/9=2/9
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
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
1/3+2/3-2/3=1/3
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
-1/5+2/5+1/5=2/5
Denominator 3.1 fn
1/6+(-1/6-1/2)=-1/2
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
41/3÷82/3=1/2
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
9423/189=349/7
Limited 1.1 fp
14/5×25/7-1/4=39/4
Comparisons
Ceil 0.2 in
-91 < -20
Ceil 0.3 in
-441+457 = -634+650
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
-609+849 > -304+461
Ceil 3.2 in
2×8 = -48÷(-3)
Ceil 3.3 in
-84×(-9) > 150×3
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
93.18 = 93.18
Point 1.3 dp
74.87 < 98.82
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
26.9+67.33 > 54.33-4.18
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
48÷8 > 0.5×8
Point 3.2 dp
3.75×16 = 35.4÷0.59
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-54.66 < 6
Doted 1.1 dn
28.1 < 33.6
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
59+13.2 > -56+77
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
7/10-1/5 > 1/5+1/5
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
88/9-22/27 > 145/18-9/14
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
1/2×4/5 > 3/5×5/9
Improper 3.2 fp
30/11×47/14 > 304/33÷64/63
Descent 1.1 fn
-1/6 > -3/4
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
x×3=3
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
68-x=-2
Lineal 1.3 in
x-914=-255
Lineal 2.2 in
-x÷5=4
Lineal 2.3 in
-760÷x=76
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
10×(-x-84)=-40
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
43.163+9.338≈52.5
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
m rry
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
unbind unbound [unbind]
Infinitive 3.1
saw [saw]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
0-413-496=-909
Conversant 2.5 in
-766312+774055-939583=-931840
Conversant 3.4 in
61+(946-869)=138
Conversant 3.5 in
1000000-(-810000+930000)=880000
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
(950-850)÷(-2-3)=-20
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
-480÷(-40)=12
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
Decimal Examples
Partitive 0.4 dp
599.447-549.447=50
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
480-159.347-96.507=224.146
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
78.2+11.8=90
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
-96.68-(60.52-98.2)=-59
Split 3.4 dn
-403.384+(226-568.333)=-745.717
Residual 1.2 dp
99÷30=3.3
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
86.64÷30.4=2.85
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
1.125÷3=0.375
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
67.2÷10÷0.5=13.44
Denary 4.3 dp
56.672÷20.125÷0.64=4.4
Denary 5.2 dp
(9÷37.5)÷2=0.12
Denary 5.3 dp
(0.8÷0.016)÷5=10
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
11.016÷27.54-0.293=0.107
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
-2÷0.8+1.5×4=3.5
Negatory 0.2 dn
-21.28+41.6÷1.25=12
Negatory 1.2 dn
15.84×2+30=61.68
Negatory 1.3 dn
74+29.568÷1.2=98.64
Negatory 2.2 dn
-10.18×4-0.56×88=-90
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
1/8+(47/392+8/539)=20/77
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
29/5-28/5=1/5
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
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
6/7÷4/35×1/10=3/4
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
1/2÷1/23×97/46=97/4
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
2750/6650=55/133
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
18/19-18/19÷36/17=1/2
Limited 2.1 fp
(3/8+1/8)÷2/3=3/4
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
82.488÷6.874 > 7.2×1.365
Point 3.4 dp
3.2×24.5 > 19.2×0.8
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
Doted 1.3 dn
95 > -78
Doted 1.4 dn
546.477 < 635.778
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
Improper 0.3 fp
1394/635 < 2666/85
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
Descent 0.1 fn
-1/2×8/9 < 1/2÷9/10
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
с туация
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
midni ht
Lexicon 1.4
m llionth [count]
Infinitive 2.2
sown [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(-166-274)÷(-10-12)=20
Intellect 1.3 in
110÷55-5911=-5909
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
4×5×5=100
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
24÷60=0.4
Denary 0.4 dp
(269.824÷3.1)÷128=0.68
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
6.24÷0.6=10.4
Denary 3.4 dp
1.5×480=720
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
673.92÷(592.11÷35.088)=39.936
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
Definition 0.4 dp
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
92.16÷4-2×0.216=22.608
Definition 3.3 dp
39-0.014÷(100-86)=38.999
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
387/11+1/4×564/11=48/1
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Language Exercises
Russian Vocabulary 2.5
наскво ь
English Vocabulary 1.5
anniv rsary
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
equ valent
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
redo redid [redo]
Infinitive 3.2
besought [beseech]
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