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
900000-320000=580000
Beginner 4.5 ip
860109-833681+73544=99972
Beginner 5.5 ip
821768-(742824-556000)=634944
Conversant 1.1 in
-4-5=-9
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
7×19×20=2660
Cognizant 5.3 ip
(5×50)÷2=125
Cognizant 6.3 ip
54÷27×(98×7)=1372
Remainder 1.3 ip
430÷31=13(27)
Multiplier 1.4 ip
85000×103=8755000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(22+18)×(14+6)=800
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
Divisor_ENG 1.3 ip
3565÷31=115
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
0.2+0.2=0.4
Partitive 0.2 dp
21-(94.5-74.7)=1.2
Partitive 1.1 dp
7.9+1.1=9
Partitive 1.2 dp
86.5-39.9=46.6
Partitive 2.1 dp
5.1+6.2-7.3=4
Partitive 2.2 dp
58.2-1.7+34=90.5
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
3.6÷7.2=0.5
Denary 1.1 dp
3.5×2.2=7.7
Denary 2.1 dp
97.2÷1.5=64.8
Denary 3.1 dp
6.6×5=33
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
Numerator 1.1 fp
7/9-2/9=5/9
Comparisons
Natural 0.4 ip
527041+91192 > 987931-586331
Natural 3.4 ip
729615÷127 < 288×75
Ceil 0.1 in
-2-0 > -2-3
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
10 < 23.4
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
16/31 < 256/31
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
85+x×83=915
Linear 4.2 ip
(15+x)×2=30
Linear 4.3 ip
253×(x-643)=0
Lineal 1.1 in
x-5=0
Lineal 2.1 in
-x×(-4)=8
Rounding
Rounding 1.1 dp
84.8≈85
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
691≈69
Round 0.2 ip
9364÷4≈23
Round 0.3 ip
250235≈250
Round 1.3 ip
608331≈608
Round 2.2 ip
30+73≈1
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
29×29≈84
Round 3.2 ip
87×13≈11
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
н верное
English Vocabulary 1.3
cr am
English Vocabulary 2.3
cen ral
Lexicon 1.3
tr ding [commerce]
Infinitive 2.1
lay [lay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
-5-2+1=-6
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-7-5=-12
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
17+16-13=20
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
-(9-7)-(7-1)=-8
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
3×(853×180)=460620
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
22-(-28-52)÷10=30
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
(-2×25)÷5=-10
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
Partitive 1.3 dp
42.9+50=92.9
Partitive 2.3 dp
83.79+7.74+5.48=97.01
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
4.7+(-1-1.1)=2.6
Split 0.2 dn
-92.4-5.7+76=-22.1
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
5.2-0.1-2.1=3
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
0.8+(1-9.7)=-7.9
Split 3.2 dn
18.8-(68.8-91.3)=41.3
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
6.72÷0.56=12
Denary 0.1 dp
3.9×10=39
Denary 1.2 dp
57×0.01=0.57
Denary 2.2 dp
1.98÷24.75=0.08
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
82.8÷23÷4.5=0.8
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
48.6+96÷2.5=87
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
38.4÷(1.9+7.7)×4.8=19.2
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
0.9÷1.2=0.75
Fraction Examples
Numerator 0.1 fp
8/9-1/9-1/3=4/9
Numerator 0.2 fp
1/35+(6/35+1/45)=2/9
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
1/5+4/5-3/7=4/7
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
Numerator 3.2 fp
183/65+(241/52-7/4)=57/10
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
38/9÷19/3=2/3
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
14/5×25/7-1/4=39/4
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
-75+84 > 5-0
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
-2×33 < -84÷3
Ceil 3.3 in
-84×(-9) > 150×3
Point 0.1 dp
14 > 13.8
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
81 > 80.07
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
698.297 < 918.659
Point 2.2 dp
46-9 < 60-22.33
Point 2.3 dp
46.766+8.23 < 97.161-7.524
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
63.76÷8 > 3.18×2.5
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
Doted 0.2 dn
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
16.5 > -84.3
Doted 1.2 dn
82.65 > -97.27
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
-67.2÷1.6 > -68.4÷0.8
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
69/11 < 46/5
Improper 1.3 fp
8788/105 > 5221/147
Improper 2.2 fp
10/3-47/42 > 309/38-241/38
Improper 2.3 fp
403/9-26911/603 < 5/2+251/4
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
x÷2+4=-1
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
80÷(-x)=-2
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
48.9+35.7≈85
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
20.54≈20.5
Rounding 1.3 dp
11.882≈11.88
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
94.006-31.514≈62.49
Rounding 3.1 dp
68.8÷3≈23
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
мит нг
Lexicon 2.3
restri t [bound]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
563-357-206=0
Conversant 2.5 in
-987259+785779-38520=-240000
Conversant 3.4 in
225+(429-110)=544
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
(290-423)-(613-820)=74
Conversant 4.5 in
-(700000+255017)+(473443+416413)=-65161
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
-395+30×41=835
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
-17×25=-425
Logics 1.2 in
300÷25=12
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
Divisor_ENG 1.5 ip
5488428÷132=41579
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
480-159.347-96.507=224.146
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
-12-28=-40
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
-95.63+65.28=-30.35
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
32÷20=1.6
Divisional 1.3 dp
0.924÷0.5=1.848
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
0.8×54.675=43.74
Denary 2.3 dp
2.88÷3=0.96
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
Definition 0.2 dp
7.92÷72+89.83=89.94
Definition 1.2 dp
7.8×11.4-38.92=50
Definition 1.3 dp
98.091+18.63÷12.42=99.591
Definition 2.2 dp
53.24-6.84÷4.5+23.26=74.98
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
1.75×(-1.57-2.03)×0.4=-2.52
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
811/19+(405/19-1035/149)=8501/149
Numerator 1.3 fp
1/4+7991/180=2009/45
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
8/7+79/84=25/12
Denominator 1.2 fn
-52/63+5/7=-1/9
Denominator 1.3 fn
1/2+159/2=80/1
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
-319/81+(9/17+25/17)=-157/81
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
7/10×25/4=35/8
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
2024/46=44/1
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
Limited 1.2 fp
55/12+12/17÷36/85=25/4
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
Complete 2.1 fn
(1/3+29/3)×3/4=15/2
Comparisons
Ceil 0.4 in
771000-619149 > -618427-30535
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
19.788÷4 < 20.74÷4.148
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
Doted 0.3 dn
-28.96 < 60.864
Doted 1.3 dn
60.486 = 60.486
Doted 1.4 dn
707 > 650
Doted 2.3 dn
5.133+9.104 < -18.552+32.805
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
127/21 > 256/63
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
-14/17+167/17 > 1/2+49/6
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Lineal 0.3 in
32×(-x)=960
Lineal 3.3 in
600÷x-25=-65
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
expres ion
Lexicon 1.4
ever body [all]
Infinitive 2.2
bid [bid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(-166-274)÷(-10-12)=20
Intellect 1.3 in
-930×73+7749=-60141
Intellect 2.3 in
-5264×11-91×56=-63000
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
4×5×5=100
Logics 1.3 in
8712÷36=242
Logics 2.3 in
5×20÷(-10)=-10
Logics 3.3 in
(-5×(-50))÷(-2)=-125
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
81÷24=3.375
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
0.72×0.225=0.162
Denary 2.4 dp
6.24÷0.6=10.4
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
75.2×(125×0.05)=470
Definition 0.3 dp
43.901+7.429÷40.375=44.085
Definition 0.4 dp
200.09+(1.189+1.311)×0.06=200.24
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
936.92+2.7÷2.4-400=538.045
Definition 3.3 dp
11.875÷(20.369+4.631)×4.6=2.185
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
Negatory 0.3 dn
-0.78×54+58.046=15.926
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
-413.436-907.2×0.245=-635.7
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-2323/312-3205/312=-691/39
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
(399/8-255/8)×89/36=89/2
Limited 1.3 fp
12/299+2/9÷13/18=8/23
Limited 2.2 fp
377/15×(1/6+17/78)=29/3
Complete 0.2 fn
97/64×(2/11-354/11)=-97/2
Complete 1.3 fn
-2/3÷13/6-35/13=-3/1
Complete 2.2 fn
(1/5+1/5)÷7/15=6/7
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
-619/142-7601/284 < 848/13-108/13
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
x2-5x=0
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
-x2+12x-11=0
System 0.1 ip
8x-4y=16
System 1.2 ip
x-y=14
System 2.1 ip
10x×2y=100
System 3.1 ip
7x+10y=107
Set 0.1 in
x-y=5
Set 1.1 in
-y+x=3
Set 2.1 in
-y×9x=-540
Set 3.1 in
-5x-5y=-5
Language Exercises
Russian Vocabulary 2.5
к ньон
English Vocabulary 1.5
del berately
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
ei hteenth
Lexicon 1.5
inter retation [exposition]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
withdraw withdrew [withdraw]
Infinitive 3.2
premake [premake]
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