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
909180+83420=992600
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
291757+(668981-380000)=580738
Conversant 1.1 in
7-7=0
Conversant 1.5 in
-170136-29800=-199936
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
541+12×12+15=700
Numeracy 1.3 ip
3659×16+456=59000
Numeracy 2.3 ip
1728÷48+18×3539=63738
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
2847÷39=73
Remainder_ENG 1.3 ip
56÷2=28
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
92.8-7.5=85.3
Partitive 2.1 dp
3.3+7.4-2.2=8.5
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
85.8÷1.3=66
Denary 1.1 dp
3×6.6=19.8
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
19÷0.4=47.5
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
7 > -1
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
8÷(-2) > -2×4
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
4/1 > 3/1
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
x÷6=8
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
x÷8+922=927
Linear 4.2 ip
76÷(18+x)=2
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
3+x=-4
Lineal 2.1 in
x÷(-10)=1
Rounding
Rounding 1.1 dp
40.6≈41
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
942≈94
Round 0.2 ip
9379-1047≈83
Round 0.3 ip
147857≈148
Round 1.3 ip
844542≈845
Round 2.2 ip
215+852≈11
Round 2.3 ip
200960+81480≈282
Round 3.1 ip
516÷2≈26
Round 3.2 ip
358×25≈90
Round 3.3 ip
8969×52≈466
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
r bbish
English Vocabulary 2.3
w rship
English Vocabulary 3.2
d rty
Lexicon 1.3
dis olve [melt]
Infinitive 2.1
mislaid [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-8+10=-1
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
(41-7)-(19-40)=55
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
50-54+83=79
Conversant 3.1 in
-5-(-5+1)=-1
Conversant 3.2 in
4+(-5-10)=-11
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
-(2+0)-(2+6)=-10
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
3080÷(70×2)=22
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
763×519=395997
Cognizant 4.4 ip
71×21×615=916965
Cognizant 5.4 ip
(250000÷5)÷250=200
Cognizant 6.4 ip
200÷(2×5)×10=200
Multiplier 1.5 ip
9641×4153=40039073
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
90÷2-76=-31
Intellect 1.1 in
-20+5×2=-10
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
50+(-28-30)×2=-66
Logics 0.1 in
-6×(-3)×5=90
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-8÷(-2))÷2=2
Logics 4.1 in
80÷2÷(-2×2)=-10
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
38.6+(13.6+13.8)=66
Partitive 1.3 dp
11.58+84.27=95.85
Partitive 2.3 dp
5.59+64.56-25.55=44.6
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
3.8+1.1=4.9
Split 0.2 dn
17.8-(100-92.2)=10
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
-4.6+9+5.6=10
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
7.2+(3.9-3.6)=7.5
Split 3.2 dn
18.8-(68.8-91.3)=41.3
Residual 1.1 dp
40÷2=20
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
3.9×10=39
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
36÷4.8+0.6×20=19.5
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
(91.2-87.9)÷(0.5+0.6)=3
Negatory 1.1 dn
-50.6-24×0.9=-72.2
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
Residual_ENG 1.1 dp
74÷5=14.8
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
5/8+1/4=7/8
Numerator 0.2 fp
5/6+25/6-33/8=7/8
Numerator 1.2 fp
74/11-62/33=160/33
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
119/87+484/87-201/29=0/1
Numerator 3.1 fp
4/9-(1/6+1/6)=1/9
Numerator 3.2 fp
24/17-(1/5+18/85)=1/1
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
Denominator 1.1 fn
-3/8+3/4=3/8
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
68/12=17/3
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
2+4 > -31+25
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
-809 < 610
Ceil 2.2 in
60-2 > 82-90
Ceil 2.3 in
-609+849 > -304+461
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
832÷2 > 660÷6
Point 0.1 dp
16.7+3.8 > 14.6+5.8
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
50 > 42.67
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
843.617 > 814.01
Point 2.2 dp
46-9 < 60-22.33
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
47.3 > -86
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
-66.5 < 30.1
Doted 1.2 dn
13 > -0.47
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
53.1÷1.8 < 3×9.9
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
2/9+4/9 > 7/8-3/8
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
257/3-4543/303 > 22909/808-20613/808
Improper 3.1 fp
1/5÷1/2 < 2/3÷5/6
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
-3/5 > -4/5
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
81-x=21
Lineal 1.2 in
-1+x=49
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
-42×x=-420
Lineal 3.1 in
-10-x×6=-10
Lineal 3.2 in
x×2+46=-48
Lineal 4.1 in
(-1+x)×3=-6
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
37.12+36.15≈73.3
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
82.203≈82.2
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
25.8×1.28≈33
Language Exercises
Russian Vocabulary 2.4
карт тека
English Vocabulary 3.3
incl de
Lexicon 2.3
some ne [person]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
saw [saw]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-140+532=392
Conversant 2.4 in
-130+48+764=682
Conversant 2.5 in
411071-410000+970000=971071
Conversant 3.4 in
622-(-707+509)=820
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-706+918÷(28+26)=-689
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
-86-6×2×2=-110
Intellect 3.2 in
-176-(903-957)÷9=-170
Logics 0.2 in
760÷40=19
Logics 1.2 in
-17×37=-629
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
-350÷(-70÷14)=70
Logics 4.2 in
-8×8×(-2×4)=512
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
540.918-322.772+781.854=1000
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
140+90=230
Split 1.3 dn
-93.76+11=-82.76
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
448.696-466.3+31.2=13.596
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
1.14÷4.56=0.25
Denary 0.3 dp
12.1÷100=0.121
Denary 1.3 dp
6.075×5.12=31.104
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
2.48×1.25×20=62
Denary 4.3 dp
1.216÷4.75×100=25.6
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
0.5×(3×0.064)=0.096
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
36.48÷3-5.06=7.1
Definition 1.3 dp
0.6×0.025+54.579=54.594
Definition 2.2 dp
5.6×0.5-1.2÷1.5=2
Definition 2.3 dp
29.175-91×1.02÷4=5.97
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
Negatory 0.1 dn
83.8+27.2÷4=90.6
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
24+18.75×0.32=30
Negatory 1.3 dn
-26.24-34.56÷6=-32
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
-4.788÷0.672+1.44÷22.5=-7.061
Negatory 3.1 dn
21.4-(15+1)÷2.5=15
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
Residual_ENG 1.2 dp
84÷6=14
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
4501/124-(2729/341+365/44)=20/1
Denominator 0.2 fn
4/3-17/2+2/3=-13/2
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
1/5÷1/10=2/1
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
11/3÷1/6=22/1
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
1/5×203/3×6/5=406/25
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
330/60=11/2
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
2/3÷8/39+463/84=184/21
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
Complete 0.1 fn
-4/5-1/2×32/5=-4/1
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
120018+819982 > -357084+925279
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
915.258-396.744 = 736.449-217.935
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
95 > -78
Doted 1.4 dn
707 > 650
Doted 2.3 dn
38.144-67.745 = -11.327-18.274
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
Improper 0.3 fp
13313/275-36909/770 < 8499/112-16791/224
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
127/21 > 256/63
Descent 1.3 fn
-86480/869 < 3796/209
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
excl ding
Lexicon 1.4
entert iner [compere]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
7765+96×742=78997
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
-170÷17÷2=-5
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
0.5×1.44=0.72
Denary 2.4 dp
66.066÷9.75=6.776
Denary 3.4 dp
259.896÷1.248=208.25
Denary 4.4 dp
74.8×13×0.055=53.482
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
34.47-(12+7.2)×0.4=26.79
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
-0.676÷3.25-2×0.014=-0.236
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
Negatory 1.4 dn
499.778-523.71÷0.828=-132.722
Negatory 2.4 dn
-52+252.72÷13÷0.045=380
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
400.516-(-185.856-102.144)÷51.2=406.141
Residual_ENG 1.3 dp
27÷12=2.25
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
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
75/2÷1/2=75/1
Fragment 3.3 fp
(165/8×16/33)÷20/79=79/2
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
3/5×61/51+37/255=44/51
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
-8879/103+250/3 < -1/3-131/57
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
7x2=63
Quadratic 1.1 in
8x2=8
Quadratic 2.1 in
2x2+14x=0
Quadratic 3.1 in
-x2-6x-9=0
System 0.1 ip
6x×4y=960
System 1.2 ip
x-y=55
System 2.1 ip
2y×8x=576
System 3.1 ip
10x+4y=140
Set 0.1 in
-3y×12x=-324
Set 1.1 in
y+x=6
Set 2.1 in
-2y×19x=304
Set 3.1 in
-5y+5x=0
Language Exercises
Russian Vocabulary 2.5
б чева
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
id ntify
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
withdraw withdrawn [withdraw]
Infinitive 3.2
sit [sit]
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