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
783110+162887-150397=795600
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
76400+(845413-391813)=530000
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
-6-4+0=-10
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
23×39×3=2691
Cognizant 5.3 ip
9044÷(2×2)=2261
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
680÷90=7(50)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
712×83+365=59461
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
(3334-3064)÷(1300-1270)=9
Divisor_ENG 1.3 ip
6600÷40=165
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
5+3=8
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
8.9-(2.8+5.1)=1
Partitive 3.2 dp
21.1+(12.4+3.3)=36.8
Divisional 1.1 dp
23÷9.2=2.5
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
97.2÷1.5=64.8
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
5×98 > 48300÷100
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
-3 < 2
Ceil 2.1 in
-2-6 > -4-5
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
91.5 > 17.7
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
27/40 > 7/20
Improper 2.1 fp
1/2-3/10 < 1/2-1/4
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
x÷8+922=927
Linear 4.2 ip
(95-x)×16=80
Linear 4.3 ip
648÷(x+6)=108
Lineal 1.1 in
3+x=-4
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
93.1≈93
Rounding 2.1 dp
48.8+1.1≈50
Round 0.1 ip
529≈53
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
952217-132070≈820
Round 1.3 ip
240839≈241
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
388504+12707≈401
Round 3.1 ip
410÷5≈8
Round 3.2 ip
87×13≈11
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
знам нитый
English Vocabulary 1.3
cr am
English Vocabulary 2.3
p enty
Lexicon 1.3
brin [bear]
Infinitive 2.1
took [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-(0+6)+(9+15)=18
Conversant 0.3 in
-77+23+20=-34
Conversant 1.2 in
1+9=10
Conversant 1.3 in
-30+40=10
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
-4+(-3-3)=-10
Conversant 3.2 in
-5+(-19+6)=-18
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
1000×768=768000
Cognizant 1.4 ip
741×1000=741000
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
321×940=301740
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
7500÷25=300
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
28-69÷23-95=-70
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
-38÷2=-19
Logics 2.1 in
3×(-2)×4=-24
Logics 3.1 in
(-8÷(-2))÷2=2
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
43243÷83=521
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
62.72-32.71=30.01
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
3.8+1.1=4.9
Split 0.2 dn
34.4-9.9-77=-52.5
Split 1.1 dn
6.3-4.4=1.9
Split 1.2 dn
-3-19.1=-22.1
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
-3.7-(6.9-8.6)=-2
Split 3.2 dn
18.8-(68.8-91.3)=41.3
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
1÷2.5×52=20.8
Denary 5.1 dp
7.6÷(76×0.2)=0.5
Definition 0.1 dp
93.7+1.5÷3÷0.5=94.7
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
6×1.8+1.4=12.2
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
69÷2=34.5
Divisional_ENG 1.2 dp
0.74÷0.2=3.7
Fraction Examples
Numerator 0.1 fp
1/2+(1/6+1/9)=7/9
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
479/58-425/58=27/29
Numerator 2.1 fp
1/2+1/2-3/8=5/8
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
266/29-(47/29-13/29)=8/1
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
21/4÷3/2=7/2
Fragment 1.2 fp
7/11×121/7=11/1
Fragment 2.1 fp
23/5÷46/5÷7/10=5/7
Reduction 1.1 fp
270/35=54/7
Reduction 1.2 fp
5895/165=393/11
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
18+43 > -28+57
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
Point 0.1 dp
90.4-17.9 > 99.7-61
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
79.92 > 79.9
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
14.5×6.8 > 27×0.5
Point 3.2 dp
2.8×22 > 5×6.24
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
-71.1 < -31
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
Improper 0.2 fp
13/15×5/13 < 9/10÷6/5
Improper 1.3 fp
92/397 < 8/11
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
4/9÷1/2 > 3/5×1/3
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
1/6 < 7/9
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
-(-3+x)×3=6
Lineal 0.2 in
10÷(-7-x)=5
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
-x÷11=-1
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
-10-x×6=-10
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
-44÷(-2-x)=22
Rounding
Rounding 0.1 dp
15.7+14.2≈30
Rounding 0.2 dp
3.63+27.94≈31.6
Rounding 1.2 dp
17.03≈17
Rounding 1.3 dp
24.995≈25
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
13.293+4.325≈17.62
Rounding 3.1 dp
6.7×6≈40
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
Russian Vocabulary 2.4
к нцерт
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
rethink rethought [rethink]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-648+838=190
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
-130+48+764=682
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
-662785+(-133960+573745)=-223000
Conversant 4.4 in
-(288+616)-(151-335)=-720
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
Divisor 1.5 ip
3278100÷100=32781
Intellect 0.2 in
(292-232)÷(11+19)=2
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
659-100÷25-277=378
Intellect 3.2 in
-302-4÷(2+2)=-303
Logics 0.2 in
-17×25=-425
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
40×(-10)÷(-5)=80
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
400+298.346+158.623=856.969
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
-71-489.921=-560.921
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
416.742+172.002=588.744
Split 2.3 dn
70.32+73.49-80.24=63.57
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
3.168÷1.152=2.75
Denary 0.2 dp
86.64÷30.4=2.85
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
0.8×54.675=43.74
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
1.1×5.5÷0.55=11
Denary 4.3 dp
31.36×0.1÷2.56=1.225
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
2÷0.8+67.5=70
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
Definition 3.2 dp
54.54+47.52÷(96.72-1.68)=55.04
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
-4.788÷0.672+1.44÷22.5=-7.061
Negatory 3.1 dn
4÷(95.1-95.6)×0.3=-2.4
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
90÷5=18
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
74/7-29/63=91/9
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
-52/63+5/7=-1/9
Denominator 1.3 fn
1/2+159/2=80/1
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
Denominator 3.2 fn
-1/12+(-1/3-379/66)=-271/44
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
609/13×44/87-87/13=17/1
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
Complete 1.1 fn
-1/2×17/5+17/2=34/5
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(-1/3-1/6)÷5/6=-3/5
Comparisons
Ceil 0.4 in
-438376+764292 > -138143-462878
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
72.384+15.264 > 50.261-37.953
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
707.652+80.746 = 130.247+658.151
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
50.6×0.75 < 33.12×1.25
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
29.31 < 44.477
Doted 1.4 dn
-441.303 < 441.295
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
-527/581 < 55091/747
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Lineal 0.3 in
760÷(746-x)=-95
Lineal 3.3 in
-555+29×x=460
Lineal 4.3 in
(-x-220)×32=320
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
вп валку
Russian Vocabulary 3.4
ккорд
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
ord nary
Lexicon 1.4
m llionth [count]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-930×73+7749=-60141
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
(8372+1628)÷(-18-7)=-400
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
100×25=2500
Logics 2.3 in
-1680÷2÷(-6)=140
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
167.552÷152.32=1.1
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
75.2×(125×0.05)=470
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
Definition 1.4 dp
151.19+205.92÷0.88=385.19
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
30×(4.894+5.312)×1.6=489.888
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
499.778-523.71÷0.828=-132.722
Negatory 2.4 dn
456.24-65.17×8÷14=419
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
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
-24749/508+27/254=-24695/508
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
3/2×1183/76×323/91=663/8
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
-31/2÷93/251+293/6=7/1
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
928.872÷(-63) < 545.9÷50
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
10x2=0
Quadratic 1.1 in
x2=100
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
y-x=8
System 1.2 ip
y-x=5
System 2.1 ip
90y÷10x=30
System 3.1 ip
4x+9y=118
Set 0.1 in
-2x+6y=40
Set 1.1 in
y-x=-10
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-10y+10x=0
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
enthu iastic
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
appre iate
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
misspeak misspoken [misspeak]
Infinitive 3.2
beseech [beseech]
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