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
1000000-0-620000=380000
Beginner 4.5 ip
830000-419071+290692=701621
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
160÷16÷2=5
Cognizant 4.3 ip
23×39×3=2691
Cognizant 5.3 ip
(5×50)÷2=125
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
600÷90=6(60)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(46+299)÷(21+2)=15
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
3+(9-8.5)=3.5
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5-4.7=0.3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
3.3+7.4-2.2=8.5
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
0.5÷1=0.5
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
Natural 0.4 ip
212400÷59 < 697527÷51
Natural 3.4 ip
484530÷310 < 510705÷13
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
2-4 < 7+3
Ceil 3.1 in
-2×(-4) > 2×(-2)
Point 1.1 dp
32 < 78.2
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
7/10 > 2/3
Improper 1.2 fp
445/68 < 7/1
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
28+x=77
Linear 0.3 ip
480+x÷62=495
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
15×(43-x)=30
Linear 4.3 ip
(747-x)×117=585
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
-x÷4=-1
Rounding
Rounding 1.1 dp
93.1≈93
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
510-333≈18
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
535855≈536
Round 1.3 ip
425693≈426
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
719921-166217≈554
Round 3.1 ip
31×27≈84
Round 3.2 ip
1415×5≈71
Round 3.3 ip
153290×5≈766
Language Exercises
Russian Vocabulary 1.4
иде логия
Russian Vocabulary 3.3
гр мматика
English Vocabulary 1.3
p enty
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
s uare
Lexicon 1.3
pr per [correct]
Infinitive 2.1
miscast [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4+(-1-0)=-5
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
-2-(1+4)=-7
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
(6-10)+(8+0)=4
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
-(83-54)+(80-59)=-8
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
53760÷1792=30
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(20×25000)÷250=2000
Cognizant 6.4 ip
36300÷(10×11)÷11=30
Multiplier 1.5 ip
24482×3517=86103194
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-33+6÷2=-30
Intellect 1.1 in
-29-24÷12=-31
Intellect 2.1 in
34÷17-60÷6=-8
Intellect 3.1 in
(25+5)÷(64-59)=6
Logics 0.1 in
22÷(-2)×9=-99
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-4+2.6=-1.4
Split 1.2 dn
15.4-65=-49.6
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
-45.3-30-10=-85.3
Split 3.1 dn
-5.2+(7.6-6.3)=-3.9
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
3.9×10=39
Denary 1.2 dp
2.2×1.05=2.31
Denary 2.2 dp
16.8÷2.4=7
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
1.5÷5×94=28.2
Denary 5.1 dp
(10÷0.8)÷2.5=5
Definition 0.1 dp
27.3+1.5÷(3.2+11.8)=27.4
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
3+48÷1.6÷37.5=3.8
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
25.1+7.5×3.6=52.1
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
11÷5=2.2
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
4/9+2/9+1/6=5/6
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
4/5-2/5-3/10=1/10
Numerator 2.2 fp
71/9-58/45-14/15=17/3
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
23/5÷46/5÷7/10=5/7
Reduction 1.1 fp
4/6=2/3
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
14/5×25/7-1/4=39/4
Comparisons
Ceil 0.2 in
-91 < -20
Ceil 0.3 in
646 > -545
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
910-282 > -391-339
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
16.7+3.8 > 14.6+5.8
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
99.27 > 67.66
Point 1.3 dp
34.588 > 23
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
13×3.4 > 27.2×0.5
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
-26.8-14.6 = 20.1-61.5
Doted 0.2 dn
-4.5×(-4) < -61.2÷(-2.04)
Doted 1.1 dn
-21.5 < 16
Doted 1.2 dn
-32.03 < 10
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
67/383 < 75959/766
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
-2/7 < 2/7
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
3×(-x-8)=0
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
53+x=-400
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
6÷x+3=0
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
-4÷(-10-x)=2
Lineal 4.2 in
-44÷(-2-x)=22
Rounding
Rounding 0.1 dp
50.5×1.4≈71
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
34.25-23.94≈10.3
Rounding 2.3 dp
94.006-31.514≈62.49
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
к ндидат
English Vocabulary 3.3
ma ter
Lexicon 2.3
ste p [abrupt]
Infinitive 1.2
mistake mistaken [mistake]
Infinitive 3.1
bust [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
-203504-502786-200000=-906290
Conversant 1.4 in
-602+442=-160
Conversant 2.4 in
0-413-496=-909
Conversant 2.5 in
411071-410000+970000=971071
Conversant 3.4 in
-821-(-206+65)=-680
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
(218460+0)+(862505-807963)=273002
Divisor 1.5 ip
2626293÷373=7041
Intellect 0.2 in
-331-(40+17)÷3=-350
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
-88÷11=-8
Logics 2.2 in
-720÷2÷3=-120
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
-900÷3÷(-5×5)=12
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
132.218+120+37.782=290
Partitive 3.4 dp
600-(45+555)=0
Split 0.3 dn
-47+23+77.37=53.37
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
Residual 1.2 dp
36÷3=12
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
1.04÷2.08=0.5
Denary 0.3 dp
70.56÷49=1.44
Denary 1.3 dp
15.125×0.032=0.484
Denary 2.3 dp
50.388÷4=12.597
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
4÷0.4×1.6=16
Denary 4.3 dp
90.896÷18.4÷2.47=2
Denary 5.2 dp
1.6×(6.25×4)=40
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
99.8+19.6÷98=100
Definition 1.2 dp
31.02+51.84÷8.64=37.02
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
62.83-0.9÷3×34=52.63
Definition 2.3 dp
38.8-1.3×32×0.5=18
Definition 3.2 dp
50.1-0.8÷(75.64-67.64)=50
Negatory 0.1 dn
-78÷1.3+39.1=-20.9
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
-6+0.5×10.24×18.75=90
Negatory 2.3 dn
-4.788÷0.672+1.44÷22.5=-7.061
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
12÷15=0.8
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
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
-4/11-51/11=-5/1
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
74/9+(-51/11-133/33)=-4/9
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
3/11÷1/3=9/11
Fragment 1.3 fp
13/3×43/4=559/12
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
(13/2-11/6)×5/7=10/3
Limited 1.2 fp
122/13-1/2÷13/62=7/1
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
9/10×26/27-83/90=-1/18
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
630045÷13 > 10×2052
Point 0.3 dp
80.032 > 9.426
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
0.88×6.6 > 17.4÷3
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
707 > 650
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
-449/45+29/3 < 10/1-1/3
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Lineal 0.3 in
-x÷(-3)=89
Lineal 3.3 in
-99×x-990=0
Lineal 4.3 in
-100×(-x+973)=-900
System 1.1 ip
x+y=14
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
initi tive
English Vocabulary 2.4
appr ving
Lexicon 1.4
associ tion [union]
Infinitive 2.2
retake [retake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-932-896÷16-108=-1096
Intellect 1.3 in
-1907+3456÷12=-1619
Intellect 2.3 in
-4100+608÷38+93984=89900
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
4×(-500)÷(-5)=400
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
-480÷(-4÷2)÷(-4)=-60
Decimal Examples
Residual 1.3 dp
9÷24=0.375
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
1.65×0.02=0.033
Denary 2.4 dp
1.52÷0.76=2
Denary 3.4 dp
259.896÷1.248=208.25
Denary 4.4 dp
0.864÷2.4×890=320.4
Denary 5.4 dp
673.92÷(592.11÷35.088)=39.936
Definition 0.3 dp
40.128-0.864÷1.6=39.588
Definition 0.4 dp
361×0.729+326.831=590
Definition 1.4 dp
36.8×27-29.733=963.867
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
42.754+(53.933-51.133)×1.8=47.794
Definition 3.4 dp
(2.157+2.843)×(39.029+39.004)=390.165
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
Negatory 1.4 dn
570-45.9×10.08=107.328
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
400.516-(-185.856-102.144)÷51.2=406.141
Residual_ENG 1.3 dp
96÷40=2.4
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
3/2×1183/76×323/91=663/8
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
35×12.288 > 26.496×16
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
31/1+2347/77 < 31/1+7456/121
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
2x2+18x=0
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
8x-4y=16
System 1.2 ip
y-x=5
System 2.1 ip
4x÷4y=1
System 3.1 ip
6x+y=70
Set 0.1 in
2x×y=160
Set 1.1 in
-x+y=10
Set 2.1 in
-9y×x=900
Set 3.1 in
-5x-5y=-5
Language Exercises
Russian Vocabulary 2.5
б чева
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
sp ritual
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
hi tory [past]
Infinitive 1.3
draw drawn [draw]
Infinitive 3.2
undercut [undercut]
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