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
854257-584457=269800
Beginner 4.5 ip
860109-833681+73544=99972
Beginner 5.5 ip
414616+(231968+265750)=912334
Conversant 1.1 in
7-7=0
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
1242÷27×48=2208
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
19×(26×40)÷2=9880
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
2410÷10=241
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
4046+46×438=24194
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
220-912÷(2+74)=208
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
Partitive 1.1 dp
2.4+3.7=6.1
Partitive 1.2 dp
94.7-8.3=86.4
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
30.6÷8.5=3.6
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
15.6÷0.8=19.5
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
527041+91192 > 987931-586331
Natural 3.4 ip
484530÷310 < 510705÷13
Ceil 0.1 in
5 = 5
Ceil 1.1 in
-2 < 7
Ceil 2.1 in
-10+7 < 3+4
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
583/84 > 214/57
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
x-14=11
Linear 0.3 ip
x×90=630
Linear 3.3 ip
28×x+139=979
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
-3×(-x)=-9
Rounding
Rounding 1.1 dp
48.1≈48
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
691≈69
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
263×2351≈618
Round 1.3 ip
240839≈241
Round 2.2 ip
9959-168≈98
Round 2.3 ip
97327+55110≈152
Round 3.1 ip
832÷2≈42
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
знам нитый
English Vocabulary 1.3
e pire
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
cl an
Lexicon 1.3
fo rteenth [count]
Infinitive 2.1
oversee [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
5-4+9=10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
-10-(40+30)=-80
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
(0-18)+(20+16)=18
Conversant 4.3 in
(87-29)-(29+70)=-41
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
100×142=14200
Cognizant 2.4 ip
636004÷2=318002
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
24000÷(48÷3)=1500
Cognizant 6.4 ip
320×(25×25)÷4=50000
Multiplier 1.5 ip
43000×1131=48633000
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
-12÷2-75÷3=-31
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-2×(-9)=18
Logics 2.1 in
10×(-3)×(-3)=90
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
80÷2÷(-2×2)=-10
Divisor_ENG 1.4 ip
11135÷17=655
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
59.25-59.25=0
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
65-(50+10.22)=4.78
Split 0.1 dn
-4.3+10-7.2=-1.5
Split 0.2 dn
10.9-94.1+58=-25.2
Split 1.1 dn
4.9+1.9=6.8
Split 1.2 dn
51+45=96
Split 2.1 dn
-4+6.8-4.8=-2
Split 2.2 dn
-45.3-30-10=-85.3
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
(6.4×0.5)÷0.4=8
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
1.44÷7.2=0.2
Denary 3.2 dp
55.44÷42=1.32
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
(10÷0.8)÷2.5=5
Definition 0.1 dp
30.4-4÷0.5=22.4
Definition 1.1 dp
48.6+96÷2.5=87
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
67÷5=13.4
Divisional_ENG 1.2 dp
45.6÷3=15.2
Fraction Examples
Numerator 0.1 fp
1/2+(1/6+1/9)=7/9
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
167/18-67/90=128/15
Numerator 2.1 fp
4/5-1/5-1/5=2/5
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
4/9-2/3=-2/9
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
3/2×37/6=37/4
Fragment 1.2 fp
49/5÷931/45=9/19
Fragment 2.1 fp
3/5×5/6÷3/4=2/3
Reduction 1.1 fp
68/12=17/3
Reduction 1.2 fp
399/19=21/1
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
678 > -681
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
90÷3 < 76÷2
Ceil 3.3 in
-920÷2 < -420÷3
Point 0.1 dp
22.8÷6 = 0.5×7.6
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
2.65 < 5.67
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
570 < 697.732
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
0.51+0.184 < 59.778+26.413
Point 3.1 dp
34.5×2 > 97.2÷8.1
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
63.74 > -72.77
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-35.62 < -35.59
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
1/5 < 7/10
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
1505/18-2021/414 < 1678/17-1143/391
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
3/10 > -7/8
Descent 1.2 fn
-17/2 > -9/1
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
x+10=6
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
-x-36=4
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
72÷x=-12
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
-x÷5+1=2
Lineal 3.2 in
-4+x÷20=0
Lineal 4.1 in
-4×(3-x)=4
Lineal 4.2 in
10×(-x-84)=-40
Rounding
Rounding 0.1 dp
48.9+35.7≈85
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
82.203≈82.2
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
98.601-0.651≈97.95
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
pea eful
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
typecast typecast [typecast]
Infinitive 3.1
drive [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
580-803-642=-865
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
733000+140786-493786=380000
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
-82240+(96655-819676)=-805261
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
5636374÷587=9602
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
65×18-700=470
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
Logics 1.2 in
300÷25=12
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(10÷(-5))×(-10)=20
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
27-88=-61
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-94.58-(-12-47.58)=-35
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
0.252÷0.01=25.2
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
4.05×0.2=0.81
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
1.92×1.5÷0.048=60
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
0.022×(62.5×0.032)=0.044
Definition 0.2 dp
52.92÷1.47-19=17
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
37.5+18×1.2=59.1
Definition 2.2 dp
93.2-28.8÷22.5÷0.4=90
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
Definition 3.2 dp
66.38-1.43÷(0.66+1.54)=65.73
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
30.4-8.16÷0.4=10
Negatory 1.3 dn
74+29.568÷1.2=98.64
Negatory 2.2 dn
-73.46+3.36÷0.96×30=31.54
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
Residual_ENG 1.2 dp
11÷20=0.55
Divisional_ENG 1.3 dp
63.36÷9.216=6.875
Fraction Examples
Numerator 0.3 fp
189/5-1162/65=259/13
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
-17/3-76/99=-637/99
Denominator 1.3 fn
-53495/666+13/18=-26507/333
Denominator 2.2 fn
-2/3-47/6+55/6=2/3
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
Fragment 0.2 fp
1855/43×(2/3÷5/3)=742/43
Fragment 1.3 fp
1/13×91/15=7/15
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
18/19-18/19÷36/17=1/2
Limited 2.1 fp
27/4÷(1/2+1/4)=9/1
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
-3/5-4/5÷1/8=-7/1
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
Complete 2.1 fn
(1/3+29/3)×3/4=15/2
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
98995 > -943987
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
80.032 > 9.426
Point 0.4 dp
304.188 > 297.074
Point 2.4 dp
275.032+76.911 > 864.109-512.178
Point 3.3 dp
19.788÷4 < 20.74÷4.148
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-46.773 > -65.138
Doted 1.4 dn
981.991 > -39.637
Doted 2.3 dn
38.144-67.745 = -11.327-18.274
Doted 2.4 dn
-310.058-30.117 < 735.233-67.565
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
Descent 0.1 fn
3/10 < 1/1
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
1/3×(-2/3) < 3/5×5/9
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
Lineal 0.3 in
x÷2+524=629
Lineal 3.3 in
-1+x÷577=0
Lineal 4.3 in
-100×(-x+973)=-900
System 1.1 ip
y+x=10
Rounding
Language Exercises
Russian Vocabulary 1.5
бук нист
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
re sonable
Lexicon 1.4
h ndredth [centesimal]
Infinitive 2.2
wake [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-158×54-2160÷80=-8559
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
(800-1096)×(12+75)=-25752
Logics 0.3 in
4×5×5=100
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
1600÷(-10×8)=-20
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
(9.6×0.005)÷12=0.004
Denary 1.4 dp
40×0.001=0.04
Denary 2.4 dp
17.199÷955.5=0.018
Denary 3.4 dp
138.24÷34.56=4
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
Negatory 0.4 dn
-158.08+3.6×107.8=230
Negatory 1.4 dn
-126÷0.672-313.5=-501
Negatory 2.4 dn
841.234-122.4÷9.375-988.178=-160
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Residual_ENG 1.3 dp
58÷100=0.58
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-2041/38-1315/38+6/19=-88/1
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
777/40×(87/7-82/7)=111/8
Limited 1.3 fp
1/8×3424/643-274/643=154/643
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
Complete 0.2 fn
41/44-85/9÷748/63=3/22
Complete 1.3 fn
-31/40-88/475÷704/893=-101/100
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
-81.34÷(-4.067) > 12.15×(-1.52)
Descent 0.3 fn
2193/181 > -1663/543
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
x2+11x+18=0
Quadratic 1.1 in
5x2=0
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
2x2-2x-4=0
System 0.1 ip
8y-3x=50
System 1.2 ip
x-y=5
System 2.1 ip
y×13x=520
System 3.1 ip
10y+2x=88
Set 0.1 in
-3y×12x=-324
Set 1.1 in
-y+x=8
Set 2.1 in
8x×2y=-320
Set 3.1 in
8y-8x=160
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
em hasis
English Vocabulary 2.5
b sinessman
English Vocabulary 3.4
equ valent
Lexicon 1.5
grandda ghter [relative]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
misspeak misspoken [misspeak]
Infinitive 3.2
sleep [sleep]
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