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
10000+(495252+24826)=530078
Beginner 4.5 ip
358000-301607+43607=100000
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-3-3=-6
Conversant 1.5 in
147594-525292=-377698
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
26×10×(32÷2)=4160
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
60÷(30÷10)÷2=10
Remainder 1.3 ip
63÷3=21
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
23+80÷40+395=420
Numeracy 0.3 ip
541+12×12+15=700
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
220-912÷(2+74)=208
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
9000÷12=750
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5.7-3.5=2.2
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
12.6÷0.5=25.2
Denary 3.1 dp
38.4÷4=9.6
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
10-0 > -1-6
Ceil 1.1 in
-2 < 7
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
76 = 76
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
4/1 > 3/1
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
58-x=28
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x+4)×40=960
Lineal 1.1 in
x-5=0
Lineal 2.1 in
-x×5=-10
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
529≈53
Round 0.2 ip
304+2279≈26
Round 0.3 ip
894105-359965≈534
Round 1.3 ip
394545≈395
Round 2.2 ip
10000-7284≈27
Round 2.3 ip
965026-242853≈722
Round 3.1 ip
29×29≈84
Round 3.2 ip
1123×3≈34
Round 3.3 ip
317850÷489≈1
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
сост заться
English Vocabulary 2.3
hor or
English Vocabulary 3.2
uni ue
Lexicon 1.3
dis olve [melt]
Infinitive 2.1
backslide [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(5-10)-(1+4)=-10
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
14-20-4=-10
Conversant 2.3 in
91-63-88=-60
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
3+(7-20)=-10
Conversant 3.3 in
63-(40+73)=-50
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
742×677=502334
Cognizant 1.4 ip
729×983=716607
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
17440÷10=1744
Cognizant 4.4 ip
1584÷528×511=1533
Cognizant 5.4 ip
(200÷4)×1000=50000
Cognizant 6.4 ip
200÷(2×5)×10=200
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
-70+2×17=-36
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
-20-7×8+23=-53
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
4×6=24
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-27×4÷(-6×(-2))=-9
Divisor_ENG 1.4 ip
73374÷21=3494
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
1.07+25=26.07
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
95.31-(35.34+44.97)=15
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
-72.6-5.8=-78.4
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
33.7-5.7=28
Split 2.1 dn
5.3+5.3-1.6=9
Split 2.2 dn
8.9+52.4-52.3=9
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
-49.1-(65-37.1)=-77
Residual 1.1 dp
14÷10=1.4
Divisional 1.2 dp
6.3÷4.5=1.4
Denary 0.1 dp
18.8÷2=9.4
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
0.62÷2.48=0.25
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
7.6×0.5×8=30.4
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
Negatory 2.1 dn
95-0.6×32.5÷0.1=-100
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
2/3+131/15=47/5
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
43/9+5/9+2/3=6/1
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
2/3+(25/3-13/20)=167/20
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
4/3÷8/3=1/2
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
1/3×3/2×25/3=25/6
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
-30+60 > -30+40
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
43 > 16
Ceil 1.3 in
759 > 754
Ceil 2.2 in
60-2 > 82-90
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
-84÷(-2) > 7×(-3)
Ceil 3.3 in
2×200 > -722÷(-2)
Point 0.1 dp
14 > 13.8
Point 0.2 dp
57.19÷19 > 1.25×2.4
Point 1.2 dp
79.15 > 74
Point 1.3 dp
34.588 > 23
Point 1.4 dp
570 < 697.732
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
Doted 1.1 dn
21.5 > -92
Doted 1.2 dn
-63.97 < 63.96
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
Doted 3.1 dn
-67.2÷1.6 > -68.4÷0.8
Doted 3.2 dn
-39÷1.95 > 1.32×(-39)
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
238/43-226/43 < 1/2+7/86
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
-4/7 < -1/2
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
1/1-1/5 > -1/2-1/4
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
894-x=139
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
50.5×1.4≈71
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
17.03≈17
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
к ндидат
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
swing [swing]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-505-285=-790
Conversant 0.5 in
303217-(0-660000)=963217
Conversant 1.4 in
141-391=-250
Conversant 2.4 in
563-357-206=0
Conversant 2.5 in
411071-410000+970000=971071
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
(759248-820698)-(50470-362477)=250557
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
916÷2-280÷35=450
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
-15÷(5×3)×(-19)=19
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
455.8-339.8=116
Partitive 1.4 dp
247.113+52.56=299.673
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
-582.667+45+112.667=-425
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
10.368÷32=0.324
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
70.56÷49=1.44
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
3.84×0.75×33.6=96.768
Denary 5.2 dp
(1.2×0.3)÷0.02=18
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
61.675+0.768÷0.64=62.875
Definition 2.2 dp
53.24-6.84÷4.5+23.26=74.98
Definition 2.3 dp
29.175-91×1.02÷4=5.97
Definition 3.2 dp
50.1-0.8÷(75.64-67.64)=50
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
1.8×12-5.6=16
Negatory 1.3 dn
54.72÷30-43.92=-42.096
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
4153/792+6119/792-1709/231=39/7
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
Denominator 3.2 fn
-1/12+(-1/3-379/66)=-271/44
Fragment 0.1 fp
4/3×3/8×9/2=9/4
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
21/2÷35/2÷3/40=8/1
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
44/5×(1/5×15/4)=33/5
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
507/651=169/217
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
Complete 1.1 fn
9/10÷3/8-3/5=9/5
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
-534091-302253 < 70395+49771
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
10+478.4 < 19.623+679.245
Point 3.3 dp
2.5×3.456 < 2×8.4
Point 3.4 dp
399.762÷7.403 < 306.45÷3
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
310 > -487.701
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
8/1 < 95/1
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
на зусть
English Vocabulary 1.4
festi al
English Vocabulary 2.4
i pression
Lexicon 1.4
basi [main]
Infinitive 2.2
typecast [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
1690×60-9981=91419
Intellect 1.3 in
1972×30-9155=50005
Intellect 2.3 in
29600+1200×54÷27=32000
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
500÷(4×5)×100=2500
Logics 1.3 in
-50×(-93)=4650
Logics 2.3 in
-170÷17÷2=-5
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
77×(-25)×(-45÷(-15))=-5775
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
17.25×0.004=0.069
Denary 2.4 dp
285.12÷10.56=27
Denary 3.4 dp
2.4×0.36=0.864
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(1÷31.25)÷4=0.008
Definition 0.3 dp
29.971-(50.44-50.34)×0.36=29.935
Definition 0.4 dp
200+0.625×8+10=215
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
Definition 3.3 dp
42.754+(53.933-51.133)×1.8=47.794
Definition 3.4 dp
800.436-(39.298+325.202)÷7.29=750.436
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
673.92÷6.5+124.249=227.929
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
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
96÷40=2.4
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
Limited 0.2 fp
(399/8-255/8)×89/36=89/2
Limited 1.3 fp
805/566+4/11×385/8=5355/283
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
105/152×368/735-8/133=2/7
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
Descent 3.3 fn
17/24×(-1432/15) < -15/26×10/9
Equations
Quadratic 0.1 in
x2-5x=0
Quadratic 1.1 in
5x2=0
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
6x×4y=960
System 1.2 ip
x-y=55
System 2.1 ip
2x×2y=40
System 3.1 ip
2y+5x=70
Set 0.1 in
9y-8x=-146
Set 1.1 in
-y+x=8
Set 2.1 in
-y×9x=-540
Set 3.1 in
-5y+5x=0
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
a knowledge
English Vocabulary 2.5
congrat lation
English Vocabulary 3.4
repr duce
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
withdraw withdrawn [withdraw]
Infinitive 3.2
speed [speed]
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