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
259242+(953998-698000)=515240
Beginner 4.5 ip
354281+581405-260651=675035
Beginner 5.5 ip
904921-(273824-157234)=788331
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-6+10-1=3
Cognizant 0.3 ip
2×1250=2500
Cognizant 4.3 ip
1440÷12×63=7560
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
2×3648÷(128÷2)=114
Remainder 1.3 ip
370÷6=61(4)
Multiplier 1.4 ip
8118×869=7054542
Divisor 1.3 ip
3162÷17=186
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
3110×30+5400÷27=93500
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
900÷90=10
Remainder_ENG 1.3 ip
238÷24=9(22)
Decimal Examples
Partitive 0.1 dp
0.5+2+4=6.5
Partitive 0.2 dp
38.6-18.2=20.4
Partitive 1.1 dp
8.4-3.9=4.5
Partitive 1.2 dp
0.9+71.2=72.1
Partitive 2.1 dp
7.6-1.8-0.2=5.6
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
73 > 64.9
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
1/7 < 1/2
Improper 1.2 fp
583/84 > 214/57
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
10+x=10
Lineal 2.1 in
-x×(-4)=8
Rounding
Rounding 1.1 dp
13.2≈13
Rounding 2.1 dp
92.4-11.3≈81
Round 0.1 ip
434≈43
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
535855≈536
Round 1.3 ip
822773≈823
Round 2.2 ip
1581+2585≈42
Round 2.3 ip
480880-1191≈480
Round 3.1 ip
11×91≈100
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
435475×2≈871
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
гр мматика
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
cl an
Lexicon 1.3
loca ion [place]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
3+(7-20)=-10
Conversant 3.3 in
-14+(-13+7)=-20
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
(0-18)+(20+16)=18
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
100×142=14200
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
693462÷231×162=486324
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
34-3×9-37=-30
Intellect 1.1 in
52+80÷5=68
Intellect 2.1 in
-5×5-2×33=-91
Intellect 3.1 in
48+(19-14)×7=83
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
-2×(-9)=18
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
10×(-2×(-3))=60
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
Split 0.1 dn
-9.8+0+2=-7.8
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
5.2-0.1-2.1=3
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
-5.2+(7.6-6.3)=-3.9
Split 3.2 dn
49-(37.8-73.8)=85
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
0.6×30=18
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
19/2-7/10-4/5=8/1
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
23/5×154/23=154/5
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
3231/129=1077/43
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
575+97 > -819+132
Ceil 1.2 in
65 > -16
Ceil 1.3 in
619 > 610
Ceil 2.2 in
-25-23 < 10+0
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
98.17-11.17 > 64.69-20.63
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
93.309 > 44
Point 1.4 dp
843.617 > 814.01
Point 2.2 dp
26.53+26.28 > 1.85+50.07
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
20.3÷2.9 < 94.5÷5
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
Doted 0.1 dn
53.6 > 44.8
Doted 0.2 dn
-77.16 < 89
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-98.21 < -69
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
1/6 < 7/9
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
Lineal 0.1 in
2×(-1+x)=-8
Lineal 0.2 in
10÷(-7-x)=5
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
-x-793=-463
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
-x÷(-4)=97
Lineal 3.1 in
4-2×x=4
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
6÷(-x+9)=3
Lineal 4.2 in
-6×(-72+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
83.78≈83.8
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
13.293+4.325≈17.62
Rounding 3.1 dp
21.5×1.5≈32
Rounding 3.2 dp
70÷2≈35
Language Exercises
Russian Vocabulary 2.4
бр дячий
English Vocabulary 3.3
ma ter
Lexicon 2.3
to ards [to]
Infinitive 1.2
waylay waylaid [waylay]
Infinitive 3.1
overrun [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-140+532=392
Conversant 2.4 in
-578+241+184=-153
Conversant 2.5 in
-118119+880000-889743=-127862
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
-(86+70)-(14+130)=-300
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
8480012÷659=12868
Intellect 0.2 in
-593-384÷(2+2)=-689
Intellect 1.2 in
55+9×15=190
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
2×30=60
Logics 2.2 in
4×(-2)×33=-264
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
5488428÷132=41579
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
-91.18+66.3-55.12=-80
Split 0.4 dn
-68.569-484.139-4.175=-556.883
Split 1.3 dn
67.28+22.69=89.97
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-81.71+83.87+51.84=54
Split 2.4 dn
-93.725-75+140.922=-27.803
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
105.845-(-165.539+141.384)=130
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
0.96÷(0.8×0.05)=24
Denary 0.3 dp
5.5×0.046=0.253
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
1.68÷0.56=3
Denary 3.3 dp
3.36÷70=0.048
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
54×1.76-67.04=28
Definition 2.2 dp
34.12+72.6×0.75÷2.25=58.32
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
Definition 3.2 dp
(0.5+0.7)×(4.3+39.7)=52.8
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
Negatory 0.2 dn
0.64×(69-74)×0.25=-0.8
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
67.32+1.44×10÷2.5=73.08
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
Residual_ENG 1.2 dp
50÷25=2
Divisional_ENG 1.3 dp
1.32÷33=0.04
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
5/6+191/66-12/77=25/7
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
Fragment 1.3 fp
81/2÷9/20=90/1
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
Fragment 2.3 fp
1/5×203/3×6/5=406/25
Fragment 3.1 fp
(3/2÷1/4)×1/3=2/1
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
Ceil 0.4 in
-886848÷(-2) > -481000÷13
Ceil 1.4 in
-815196 < 17890
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
602.613-85.287 < 694.791-76.789
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
Point 3.4 dp
50.6×0.75 < 33.12×1.25
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
707 > 650
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-89/9 < -3/1
Descent 1.3 fn
-39/53 > -16/17
Descent 2.2 fn
43/11-290/77 > 19/2-139/14
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
5-36×x=365
Lineal 4.3 in
-100×(-x+973)=-900
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
ord nary
Lexicon 1.4
motorc cle [moped]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
3121-168÷8=3100
Intellect 2.3 in
-1925+48×75+2661=4336
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
5×20÷(-10)=-10
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
Residual 1.3 dp
63÷4=15.75
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
66.066÷9.75=6.776
Denary 3.4 dp
2.4×0.36=0.864
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
77.76÷0.6-111.589=18.011
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
Definition 3.3 dp
4.8÷(11.725-9.325)×5.304=10.608
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
Negatory 0.3 dn
79.11+0.625×6.528×4.875=99
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
Negatory 3.4 dn
7×(5.681+19.919)×0.625=112
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-1978/209-(5242/209-20891/253)=12151/253
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
34/5-(-572/35-3133/81)=35053/567
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
Fragment 3.3 fp
1209/37÷(130/17÷390/17)=3627/37
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
3/5×61/51+37/255=44/51
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
765/44÷85/4+343/11=32/1
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
Complete 2.2 fn
784/29÷(-19/2-79/2)=-16/29
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
-17.408×(-41.25) < 36.75×22.8
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
Quadratic 0.1 in
x2=16
Quadratic 1.1 in
9x2=729
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
x+y=19
System 1.2 ip
y-x=27
System 2.1 ip
y×13x=520
System 3.1 ip
2y+5x=70
Set 0.1 in
x-y=5
Set 1.1 in
x-y=-6
Set 2.1 in
2x×13y=390
Set 3.1 in
-1x-y=19
Language Exercises
Russian Vocabulary 2.5
п лицмейстер
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
congres
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
deli hted [admiring]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
sow [sow]
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