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
247460+235469+495207=978136
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
2-4=-2
Conversant 1.5 in
-718439+495963=-222476
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
9044÷(2×2)=2261
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
6800+240×50÷75=6960
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
(8915-4055)÷(84+78)=30
Divisor_ENG 1.3 ip
6600÷40=165
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
15.2+50+4=69.2
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
96.8-(76.5+0.9)=19.4
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
83.3÷3.5=23.8
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
35.2÷8.8=4
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
5 = 5
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-1-3 < 2-0
Ceil 3.1 in
-2×(-4) > 2×(-2)
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
99.2-59.5 > 48.2-25.8
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
x+753=903
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
-2×x=10
Rounding
Rounding 1.1 dp
93.1≈93
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
97+168≈27
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
425693≈426
Round 2.2 ip
1780+667≈24
Round 2.3 ip
97327+55110≈152
Round 3.1 ip
228÷3≈8
Round 3.2 ip
1158÷2≈6
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
орг низм
Russian Vocabulary 3.3
дир жёр
English Vocabulary 1.3
contin e
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
ncome
Lexicon 1.3
un form [outfit]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
22-(60-34)=-4
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-10-10=-20
Conversant 2.2 in
-20+14+10=4
Conversant 2.3 in
37-87+70=20
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
19-(10-5)=14
Conversant 3.3 in
-7-(38+22)=-67
Conversant 4.1 in
-(9-7)-(7-1)=-8
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
(21-93)+(18+76)=22
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
630÷3=210
Cognizant 3.4 ip
200×200=40000
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
71200×1008=71769600
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
10+20÷10=12
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-60+20÷(17-15)=-50
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
12÷2=6
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
(60÷4)×(-2)=-30
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
5.59+64.56-25.55=44.6
Partitive 3.3 dp
39.28+(75.74-17.87)=97.15
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
9.3-7.6+7.8=9.5
Split 2.2 dn
-32+15.8+27.2=11
Split 3.1 dn
-5.2-(0.9-4.3)=-1.8
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
14÷10=1.4
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
49.5×0.1=4.95
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
(48.7÷97.4)×10.4=5.2
Definition 0.1 dp
83.1-0.5×20=73.1
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
3.9÷3+10÷0.5=21.3
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
74÷5=14.8
Divisional_ENG 1.2 dp
14.4÷2.4=6
Fraction Examples
Numerator 0.1 fp
9/10-1/10-7/10=1/10
Numerator 0.2 fp
1/35+(6/35+1/45)=2/9
Numerator 1.2 fp
479/58-425/58=27/29
Numerator 2.1 fp
1/4+1/4+1/4=3/4
Numerator 2.2 fp
71/9-58/45-14/15=17/3
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
2/3+1/3=1/1
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
3/5÷21/5=1/7
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
4/6=2/3
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
-441+457 = -634+650
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
982-93 < 391+505
Ceil 3.2 in
2×8 = -48÷(-3)
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
90.4-17.9 > 99.7-61
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
58-57.25 < 82.09-65.09
Point 2.3 dp
87.041-0.599 > 0.046+0.028
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
85÷17 < 90.09÷6.93
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
-98.21 < -69
Doted 2.1 dn
-11.6-1.9 < 8+5.5
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
-6/7 < 2/5
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
81-x=21
Lineal 1.2 in
x-11=9
Lineal 1.3 in
-x+157=-163
Lineal 2.2 in
-x÷11=-1
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
6÷x+3=0
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
48.9+35.7≈85
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
88.3÷66≈1.3
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
pea eful
Lexicon 2.3
al rming [anxious]
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
78-280=-202
Conversant 2.4 in
-170+1000+130=960
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
-662785+(-133960+573745)=-223000
Conversant 4.4 in
(290-423)-(613-820)=74
Conversant 4.5 in
-(291780-635981)-(358302-814101)=800000
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
-48×19+30×42=348
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
-457+90÷30-347=-801
Intellect 3.2 in
165+(474-114)÷180=167
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
-2×(-33×(-10))=-660
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
538.239-(111.628+85)=341.611
Partitive 1.4 dp
589.082-100=489.082
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
140+90=230
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
581.172-141.613=439.559
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
-70-(-97.33-62.67)=90
Split 3.4 dn
555.914-(216.354-296.44)=636
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
0.192÷0.004=48
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
46.24÷5.78=8
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
Definition 0.2 dp
79.23-31.25×0.64=59.23
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
18.875÷0.625+78.4×0.125=40
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
-78.41+89.1÷(11.52-52.02)=-80.61
Negatory 1.2 dn
21.6÷24-93.04=-92.14
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
88÷25=3.52
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
6998/159-5329/318=2889/106
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
-105/23+1/4=-397/92
Denominator 1.2 fn
5/33+17/33=2/3
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
3/11÷1/3=9/11
Fragment 1.3 fp
25/2÷25/84=42/1
Fragment 2.2 fp
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
220/7×(25/36×63/50)=55/2
Reduction 1.3 fp
3552/5400=148/225
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
1/3×1251/26+231/26=324/13
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
966400÷4 > -8×(-3)
Ceil 1.4 in
596574 > -601125
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
4.467+37.136 < 126.849+127.583
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
Doted 0.3 dn
-12.172 < 32.917
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
-339 < -338.998
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
-1/2×8/9 < 1/2÷9/10
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
мульт пликация
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
i pression
Lexicon 1.4
d velopment [growth]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
1690×60-9981=91419
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
(-2300-35200)÷(6582-6585)=12500
Logics 0.3 in
3520÷(-88)=-40
Logics 1.3 in
79×20=1580
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
1.65×0.02=0.033
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
42.24÷1.056=40
Denary 4.4 dp
0.684÷228÷0.6=0.005
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
310×0.104+48.75×12.672=650
Definition 1.4 dp
743.72+1.615×72=860
Definition 2.4 dp
92.16÷4-2×0.216=22.608
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
194.4÷(0.5+0.75)÷0.432=360
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
63÷24=2.625
Fraction Examples
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
39/17÷(4/3+113/3)=1/17
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
212/981-19/48×30488/327=-23995/654
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
5x2=0
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
10y+10x=200
System 1.2 ip
x-y=14
System 2.1 ip
44x÷3y=22
System 3.1 ip
6x+y=70
Set 0.1 in
x+y=-2
Set 1.1 in
y-x=-10
Set 2.1 in
-y×9x=-540
Set 3.1 in
-10y+4x=-60
Language Exercises
Russian Vocabulary 2.5
к ньон
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
congrat lation
English Vocabulary 3.4
compl te
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
rebind [rebind]
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