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
162366+277869+128409=568644
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
3584÷8÷2=224
Cognizant 5.3 ip
720÷(12×2)=30
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
600÷90=6(60)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
7505÷79=95
Numeracy 0.2 ip
(100-27)×(20-9)=803
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
318÷20=15(18)
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
Partitive 3.2 dp
21.1+(12.4+3.3)=36.8
Divisional 1.1 dp
85.8÷1.3=66
Denary 1.1 dp
6×6.6=39.6
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
12.8÷8=1.6
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
293913÷51 > 128×26
Natural 3.4 ip
308370÷190 < 110124×8
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
2 < 10
Ceil 2.1 in
-9-0 < 7+0
Ceil 3.1 in
-2×3 > 4×(-2)
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
80.9-60.7 < 34.9+47.9
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
445/68 < 7/1
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
x×15=60
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
76÷(18+x)=2
Linear 4.3 ip
253×(x-643)=0
Lineal 1.1 in
-x-6=3
Lineal 2.1 in
-x×5=-10
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
48.8+1.1≈50
Round 0.1 ip
675÷9≈8
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
629804≈630
Round 2.2 ip
6143-1716≈44
Round 2.3 ip
361600+911≈363
Round 3.1 ip
988÷13≈8
Round 3.2 ip
4136÷8≈5
Round 3.3 ip
71678×13≈932
Language Exercises
Russian Vocabulary 1.4
иде логия
Russian Vocabulary 3.3
прис гать
English Vocabulary 2.3
creat re
Lexicon 1.3
min ral [inorganic]
Infinitive 2.1
see [see]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
78-17=61
Conversant 2.2 in
17+16-13=20
Conversant 2.3 in
-65+6+100=41
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
28+(-1-38)=-11
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(20+6)+(12-19)=19
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
32×25×(5×5)=20000
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
424560÷120=3538
Cognizant 3.4 ip
430×220=94600
Cognizant 4.4 ip
71×21×615=916965
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
720÷(3690÷41)×25=200
Multiplier 1.5 ip
9641×4153=40039073
Divisor 1.4 ip
95559÷53=1803
Intellect 0.1 in
14+90÷3÷3=24
Intellect 1.1 in
-32-2×19=-70
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
(25+5)÷(64-59)=6
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
4×6=24
Logics 2.1 in
-16÷(-2)÷(-2)=-4
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
39.28+(75.74-17.87)=97.15
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
10.9-94.1+58=-25.2
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
-54.8-5.1+18=-41.9
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
27÷2=13.5
Divisional 1.2 dp
80.64÷4.2=19.2
Denary 0.1 dp
3.9×10=39
Denary 1.2 dp
0.6×0.5=0.3
Denary 2.2 dp
2.24÷1.75=1.28
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
26.2-(15+55.4)÷11=19.8
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
Residual_ENG 1.1 dp
56÷2=28
Divisional_ENG 1.2 dp
1.28÷4=0.32
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
Numerator 1.2 fp
33/4-3/4=15/2
Numerator 2.1 fp
1/3+1/6+1/4=3/4
Numerator 2.2 fp
43/9+5/9+2/3=6/1
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
-1/2-1/5=-7/10
Denominator 2.1 fn
-1/5+4/5-1/10=1/2
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
1/3×3/2×25/3=25/6
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
8/80=1/10
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
678 > -681
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
-2×33 < -84÷3
Ceil 3.3 in
892÷(-4) < 369÷(-3)
Point 0.1 dp
4+68.6 < 84.9-12.1
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
80 > 36.8
Point 1.3 dp
73.296 = 73.296
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
13×3.4 > 27.2×0.5
Point 3.2 dp
71.25×0.64 < 91.22×0.5
Doted 0.1 dn
7.4-47.6 < 91-26.4
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
25052/267 > 1679/18
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
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
3/4×16/27 < 348/65÷116/13
Descent 1.1 fn
-6/7 < 2/5
Descent 1.2 fn
-253/30 < -129/16
Descent 2.1 fn
-1/2+1/1 > 2/3-1/3
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
770+x=130
Lineal 2.2 in
x÷15=1
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
-60-2×x=100
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
22.004≈22
Rounding 2.2 dp
75.02-32.53≈42.5
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
54.1×1.2≈65
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
к нцерт
English Vocabulary 3.3
w rking
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
sleep slept [sleep]
Infinitive 3.1
swing [swing]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
-515475+(967227-305954)=145798
Conversant 1.4 in
-236+526=290
Conversant 2.4 in
-578+241+184=-153
Conversant 2.5 in
-877844-284951+810000=-352795
Conversant 3.4 in
-172-(-877+488)=217
Conversant 3.5 in
666600-(130000+990000)=-453400
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(131208+223882)-(581881-485376)=258585
Divisor 1.5 ip
3278100÷100=32781
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-672+340÷4=-587
Intellect 2.2 in
659-100÷25-277=378
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-17×25=-425
Logics 1.2 in
-10×20=-200
Logics 2.2 in
80÷10÷2=4
Logics 3.2 in
(-20×2)÷(-4)=10
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
132.218+120+37.782=290
Partitive 3.4 dp
160.427+(600-260.427)=500
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
-68.569-484.139-4.175=-556.883
Split 1.3 dn
-60-12=-72
Split 1.4 dn
504.613+266.737=771.35
Split 2.3 dn
-69.23+90.32-50.09=-29
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
376.109+(-347.033-329.076)=-300
Residual 1.2 dp
58÷40=1.45
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
2.88÷3=0.96
Denary 3.3 dp
1.1×0.04=0.044
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
(1.5×0.8)÷8=0.15
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
Definition 0.2 dp
14×3.61+10.8÷90=50.66
Definition 1.2 dp
61.76+3.2×3.2=72
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
Negatory 2.2 dn
-10.18×4-0.56×88=-90
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
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
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
39927/409-20260/409-19258/409=1/1
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
-1/12-(1/12+653/96)=-223/32
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
61/2÷244/77=77/8
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
2/3÷8/39+463/84=184/21
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
(-48/5-2/5)×1/10=-1/1
Comparisons
Ceil 0.4 in
966400÷4 > -8×(-3)
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
68.5-49.467 > 52.507-44.769
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
0.8×88 > 76.292÷19.073
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
70.126 = 70.126
Doted 1.3 dn
9.453 > -26.863
Doted 1.4 dn
-12.675 > -563.71
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
28.836÷(-7.2) < 1.25×(-1.584)
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
Improper 3.3 fp
197/409×58/197 < 1/2÷2/121
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
appr ving
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
overspilled [overspill]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
-50×(-93)=4650
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
(-800÷(-25))÷(-4)=-8
Logics 4.3 in
-100×(4×(-10))÷(-40)=-100
Decimal Examples
Residual 1.3 dp
7÷56=0.125
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
0.864÷2.4×890=320.4
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
3.521×10+41.58÷2=56
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
Definition 1.4 dp
743.72+1.615×72=860
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
824.723+3.2÷(0.5+0.3)=828.723
Negatory 0.3 dn
-35+(68.311-56.075)÷4=-31.941
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
2.7×17.55-15.385=32
Negatory 2.4 dn
841.234-122.4÷9.375-988.178=-160
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
260/7+153/7-28589/479=-328/479
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
-31/2÷93/251+293/6=7/1
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
693.585 > -920
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
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
10x2=0
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=0
System 2.1 ip
x×20y=800
System 3.1 ip
10y+4x=116
Set 0.1 in
-x×y=-32
Set 1.1 in
-x+y=-6
Set 2.1 in
-2y×2x=-400
Set 3.1 in
2y-2x=0
Language Exercises
Russian Vocabulary 2.5
б чева
English Vocabulary 1.5
a knowledge
English Vocabulary 2.5
comm nication
English Vocabulary 3.4
g ther
Lexicon 1.5
grandda ghter [relative]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
browbeat browbeat [browbeat]
Infinitive 3.2
foresee [foresee]
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