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
561273+249458-799031=11700
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
2-4=-2
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
-2-1+0=-3
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
7×19×20=2660
Cognizant 5.3 ip
(50÷10)×500=2500
Cognizant 6.3 ip
2×3648÷(128÷2)=114
Remainder 1.3 ip
911÷30=30(11)
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
6154-21×93-200=4001
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
800+(4842-3742)×72=80000
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
56÷2=28
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
8.4-3.9=4.5
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
2-1.7+8=8.3
Partitive 2.2 dp
58.2-1.7+34=90.5
Partitive 3.1 dp
2+(6.6-0.2)=8.4
Partitive 3.2 dp
57-(33.5+3.5)=20
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
9.6÷2.4=4
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
119800÷100 < 403155÷9
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
2×(-5) < 4×(-2)
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
81.4-79.4 < 3.9+83.3
Improper 1.1 fp
1/7 < 1/2
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
x+753=903
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
312÷(x-660)=52
Lineal 1.1 in
-x+4=-3
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
93.7≈94
Rounding 2.1 dp
15.3+24.9≈40
Round 0.1 ip
986-19≈97
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
52760+136268≈189
Round 1.3 ip
425693≈426
Round 2.2 ip
9959-168≈98
Round 2.3 ip
220000+66769≈287
Round 3.1 ip
29×29≈84
Round 3.2 ip
3×985≈30
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
иллюм нация
Russian Vocabulary 3.3
знам нитый
English Vocabulary 1.3
contin e
English Vocabulary 2.3
nless
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
outride [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
-30+(-93+73)=-50
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
4-(6+1)=-3
Conversant 3.2 in
3+(7-20)=-10
Conversant 3.3 in
-66-(0-18)=-48
Conversant 4.1 in
-(2+0)-(2+6)=-10
Conversant 4.2 in
(16-18)+(3-20)=-19
Conversant 4.3 in
(87-29)-(29+70)=-41
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
(150000÷20)÷25=300
Cognizant 6.4 ip
720÷(3690÷41)×25=200
Multiplier 1.5 ip
28000×1250=35000000
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
10-(-3-2)×6=40
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
-30+10×3×3=60
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
2×(-8×4)=-64
Logics 1.1 in
57÷(-3)=-19
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-42÷(-7))×(-10)=-60
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
77.35+1.66+5=84.01
Partitive 1.3 dp
59.25-59.25=0
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
-32+15.8+27.2=11
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
6.3÷4.5=1.4
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
0.6×30=18
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
0.9×4.8=4.32
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
Definition 1.1 dp
46.6-2.5×4=36.6
Definition 2.1 dp
21+28.5÷3+14.3=44.8
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
25.1+7.5×3.6=52.1
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
17/2-7/6-112/39=58/13
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
Denominator 1.1 fn
-3/10-1/2=-4/5
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
3/2×37/6=37/4
Fragment 1.2 fp
41/3÷82/3=1/2
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
Reduction 1.1 fp
72/81=8/9
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
4×(-4) = 4×(-4)
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
7-40 < -63+70
Ceil 2.3 in
320-0 > -582+530
Ceil 3.2 in
-88÷(-2) > 2×20
Ceil 3.3 in
23×(-4) > -790÷2
Point 0.1 dp
0.5×8 = 27.2÷6.8
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
77.77 > 77.76
Point 1.3 dp
50.702 < 50.709
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
9.2+50.64 > 0.89+11.16
Point 2.3 dp
40-16.233 > 9.441+2.859
Point 3.1 dp
4.5×2.8 > 1.5×3.4
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
-54.66 < 6
Doted 1.1 dn
27 > -32.8
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
59+13.2 > -56+77
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
-1.05×8.8 > -2×4.63
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
3/4 > -2/5
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
1/2+1/2 > 4/5-3/5
Equations
Lineal 0.1 in
x+10=6
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
894-x=139
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
2×x-30=90
Lineal 4.1 in
(-x+6)×3=9
Lineal 4.2 in
-44÷(-2-x)=22
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
37.997≈38
Rounding 2.2 dp
7.21+28.36≈35.6
Rounding 2.3 dp
0.671+68.427≈69.1
Rounding 3.1 dp
6.7×6≈40
Rounding 3.2 dp
2.26×30≈67.8
Language Exercises
Russian Vocabulary 2.4
н жданный
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
mistake mistook [mistake]
Infinitive 3.1
daydreamt [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-938+(643-435)=-730
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
-140+532=392
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
622-(-707+509)=820
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(290-423)-(613-820)=74
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
-238+968÷(-2-2)=-480
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
35×(-26)=-910
Logics 2.2 in
40×(-10)÷(-5)=80
Logics 3.2 in
(6×60)÷(-40)=-9
Logics 4.2 in
20×(-26÷13)×(-8)=320
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
156.042+339+414.958=910
Partitive 3.4 dp
236.131+(503.656-404.787)=335
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
29.75+40.32=70.07
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-24+(34.16-6.61)=3.55
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
20÷5=4
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
86.64÷30.4=2.85
Denary 0.3 dp
5.75×0.064=0.368
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
1.1×0.04=0.044
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
20.09+21.6÷4.8=24.59
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
21.57+78÷5.2=36.57
Negatory 1.2 dn
95.29-2.24×28=32.57
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
Numerator 1.3 fp
53/13+77/13=10/1
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
-58/9+4/9=-6/1
Denominator 1.2 fn
-52/63+5/7=-1/9
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
1/2×(4/3÷8/9)=3/4
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
175/4×28/25=49/1
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
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
(8/9×27/8)÷99/23=23/33
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
51/2÷85/6+443/40=103/8
Limited 2.1 fp
4/5×(4/5+21/5)=4/1
Complete 0.1 fn
2/3÷1/6-3/2=5/2
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
280.824÷4 < 561.664÷8
Doted 0.3 dn
-12.172 < 32.917
Doted 1.3 dn
29.31 < 44.477
Doted 1.4 dn
-890.483 < 890.478
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
Improper 0.3 fp
167/2÷835/618 > 15/2÷30/247
Improper 3.3 fp
11/47÷11/842 > 201/235÷134/155
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
x÷2+425=0
Lineal 4.3 in
(957-x)×266=-798
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
апост л
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
aspe t
English Vocabulary 2.4
excl ding
Lexicon 1.4
c nnection [union]
Infinitive 2.2
wake [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
-1326-40×60=-3726
Intellect 2.3 in
-9273-1112×80÷40=-11497
Intellect 3.3 in
6298+22÷(3400-3389)=6300
Logics 0.3 in
-3520÷8=-440
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
-170÷17÷2=-5
Logics 3.3 in
3×(36×(-40))=-4320
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
15.288÷3=5.096
Denary 3.4 dp
828×0.002=1.656
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
3.12÷(15.6×12.5)=0.016
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
310×0.104+48.75×12.672=650
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
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
769.975+0.72÷(933-904.2)=770
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
Negatory 1.4 dn
0.5×270+585.931=720.931
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
33.6÷(0.72+1.52)÷8=1.875
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
Residual_ENG 1.3 dp
11÷88=0.125
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
41/3÷205/3=1/5
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
5/8-19/2÷1292/45=5/17
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
-619/142-7601/284 < 848/13-108/13
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
x2-7x+12=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y-x=27
System 2.1 ip
28y÷7x=10
System 3.1 ip
7y+7x=84
Set 0.1 in
-3y×12x=-324
Set 1.1 in
-x-y=0
Set 2.1 in
-2y×19x=304
Set 3.1 in
7x-10y=140
Language Exercises
Russian Vocabulary 2.5
наскво ь
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
congres
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
draw drew [draw]
Infinitive 3.2
foreseen [foresee]
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