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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
1961+910910=912871
 
Beginner 4.5 ip
920719-206513-124206=590000
 
Beginner 5.5 ip
956690-(928328-12477)=40839
 
 
Conversant 1.5 in
-176346+366346=190000
 
 
 
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
 
 
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
 
 
Rounding
 
 
 
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
 
 
 
 
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 2.3 in
91-63-88=-60
 
 
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 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
 
 
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 0.2 in
3-80÷x=7
 
 
Lineal 1.3 in
x-914=-255
 
 
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
 
 
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
 
 
Lineal 0.3 in
-x÷(-3)=89
 
Lineal 3.3 in
x÷2+425=0
 
Lineal 4.3 in
-(x+467)×88=704
Rounding
 
 
Rounding 0.3 dp
48.268+29.768≈78.04
 
Rounding 3.3 dp
90÷84.892≈1.06
Language Exercises
 
 
 
Russian Vocabulary 3.4
с туация
 
 
 
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
 
 
 
 
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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