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
900000-320000=580000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
7×19×20=2660
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
9504÷22=432
Remainder_ENG 1.3 ip
75÷15=5
Decimal Examples
Partitive 0.1 dp
9-(9.4-7.5)=7.1
Partitive 0.2 dp
44.5-2=42.5
Partitive 1.1 dp
7.9+1.1=9
Partitive 1.2 dp
79+7.9=86.9
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
76.2-61.2+31=46
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
65.9-(42.6-2)=25.3
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
1.9×5=9.5
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
4×8.8=35.2
Divisional_ENG 1.1 dp
15.4÷7=2.2
Fraction Examples
Numerator 1.1 fp
3/10+1/5=1/2
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
512000÷256 < 906696÷28
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
-2 < -1
Ceil 2.1 in
9-4 > -6+10
Ceil 3.1 in
2×(-5) < 4×(-2)
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
9/10 > 1/5
Improper 1.2 fp
27/40 > 7/20
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
Linear 0.2 ip
x-14=11
Linear 0.3 ip
x×90=630
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
(x+3)×128=384
Lineal 1.1 in
3+x=-4
Lineal 2.1 in
-3×(-x)=-9
Rounding
Rounding 1.1 dp
37.6≈38
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
986-19≈97
Round 0.2 ip
4126≈41
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
394545≈395
Round 2.2 ip
343+5120≈55
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
3×193≈58
Round 3.2 ip
1158÷2≈6
Round 3.3 ip
804661÷331≈2
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
исч зать
English Vocabulary 1.3
th rteen
English Vocabulary 2.3
p enty
English Vocabulary 3.2
uni ue
Lexicon 1.3
pr per [correct]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
-17+18-20=-19
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
1-1=0
Conversant 1.3 in
90-20=70
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
0-(6+4)=-10
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
51-(-17-18)=86
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
-(12+10)+(16+5)=-1
Conversant 4.3 in
(30+25)+(16+28)=99
Cognizant 0.4 ip
3080÷(70×2)=22
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
720÷(3690÷41)×25=200
Multiplier 1.5 ip
37500×2240=84000000
Divisor 1.4 ip
7500÷25=300
Intellect 0.1 in
34-3×9-37=-30
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
-30+10×3×3=60
Intellect 3.1 in
63-30÷(6+4)=60
Logics 0.1 in
2×(-8×4)=-64
Logics 1.1 in
44÷(-2)=-22
Logics 2.1 in
48÷4÷(-3)=-4
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-84÷(3×(-4))×(-9)=-63
Divisor_ENG 1.4 ip
12000÷60=200
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
42.9+50=92.9
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
1.8+5.1=6.9
Split 0.2 dn
10.9-94.1+58=-25.2
Split 1.1 dn
6.3-4.4=1.9
Split 1.2 dn
6-69=-63
Split 2.1 dn
9-9+10=10
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
-3.7-(6.9-8.6)=-2
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
80.64÷4.2=19.2
Denary 0.1 dp
5×2.3=11.5
Denary 1.2 dp
0.6×0.5=0.3
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
42.24÷64=0.66
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
0.6×(0.5×5)=1.5
Definition 0.1 dp
2.5×16.8-33.1=8.9
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
23.4+1.2×45-50=27.4
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
1/18+1/9=1/6
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
4/9-(1/6+1/6)=1/9
Numerator 3.2 fp
183/65+(241/52-7/4)=57/10
Denominator 0.1 fn
1/2-7/10=-1/5
Denominator 1.1 fn
5/9+1/9=2/3
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
14/3÷7/6×3/4=3/1
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
8300/580=415/29
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
42 > -21
Ceil 1.3 in
450 > -610
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
-609+849 > -304+461
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
-920÷2 < -420÷3
Point 0.1 dp
12.5×7.2 > 13×6.4
Point 0.2 dp
0.92+26.19 < 3.81+80.64
Point 1.2 dp
99.27 > 67.66
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
190.863 < 436.083
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
2.6×2.4 < 80×0.69
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
12.6-82.6 < 3.59+9.41
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
4.7+6.4 < 21.4+27.6
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
46/5-1/5 > 1/2+7/38
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
Improper 3.2 fp
1/3÷1/24 > 36/19×95/68
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
161/60 < 239/35
Descent 2.1 fn
1/2+1/2 > 4/5-3/5
Equations
Lineal 0.1 in
-10-x=-10
Lineal 0.2 in
81-x=21
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
72÷x=-12
Lineal 2.3 in
-x÷(-4)=97
Lineal 3.1 in
6÷x+3=0
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
11.2≈11
Rounding 0.2 dp
45.56-11.54≈34
Rounding 1.2 dp
0.66≈0.7
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
13.135+55.407≈68.54
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
7.42×10≈74.2
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
massi e
Lexicon 2.3
p ckage [parcel]
Infinitive 1.2
let let [let]
Infinitive 3.1
tread [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
-236+526=290
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
856+(-119+194)=931
Conversant 3.5 in
-82240+(96655-819676)=-805261
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
(218460+0)+(862505-807963)=273002
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-706+918÷(28+26)=-689
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
105×7-765÷153=730
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
2×30=60
Logics 2.2 in
-20÷10×(-19)=38
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
-8×8×(-2×4)=512
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
Partitive 0.4 dp
455.8-339.8=116
Partitive 1.4 dp
199.812-189.812=10
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
10-77.38+79.44=12.06
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
504.613+266.737=771.35
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
20-(-24.4-29)=73.4
Split 3.4 dn
376.109+(-347.033-329.076)=-300
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
7.616÷0.112=68
Denary 0.2 dp
0.96÷(0.8×0.05)=24
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
3.36÷70=0.048
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
1.92×1.5÷0.048=60
Denary 5.2 dp
(9÷37.5)÷2=0.12
Denary 5.3 dp
(2.5×0.016)÷20=0.002
Definition 0.2 dp
11.4+1.6÷40+43.01=54.45
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
37.8÷0.8-44.988=2.262
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
0.64×(69-74)×0.25=-0.8
Negatory 1.2 dn
1.8×12-5.6=16
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
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
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
Numerator 1.3 fp
44258/575-43918/575=68/115
Numerator 2.3 fp
262/3-24578/555-749/185=39/1
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
1239/19-327/19=48/1
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
3/11÷1/3=9/11
Fragment 1.3 fp
25/2÷25/84=42/1
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
52/9÷4/7-1/9=10/1
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
-1/2×17/5+17/2=34/5
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
-705664+930000 > 734380-575380
Ceil 1.4 in
596574 > -601125
Ceil 2.4 in
766099-218093 > -843637+145103
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
3.2×24.5 > 19.2×0.8
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
393.182-363.682 < 374.829-345.326
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-2/5÷8/97 < -92/11÷23/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
rema ning
Lexicon 1.4
ever body [all]
Infinitive 2.2
input [input]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
-6400÷25+45256=45000
Intellect 2.3 in
7189-432÷24×3996=-64739
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
4×(-500)÷(-5)=400
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
-8550÷(-15)×(-40÷10)=-2280
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
1.38×0.3÷1.725=0.24
Denary 1.4 dp
6.72×1.25=8.4
Denary 2.4 dp
11.4÷30.4=0.375
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
Definition 0.3 dp
29.325×1.28-1.024=36.512
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
824.723+3.2÷(0.5+0.3)=828.723
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
Negatory 1.4 dn
-3×84.48+93.275=-160.165
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
31.665+72.8÷(28.971-32.299)=9.79
Negatory 3.4 dn
-1.25÷(620.233-622.733)×50=25
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
-26275/289+2/3+77686/867=-11/17
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
387/11+1/4×564/11=48/1
Limited 2.2 fp
15/7÷(166/19-71/19)=3/7
Complete 0.2 fn
413/30+32/5×25/48=171/10
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
-45457/472 < -807/10
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
2x2+18x=0
Quadratic 1.1 in
9x2=729
Quadratic 2.1 in
4x2-8x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
y×15x=405
System 1.2 ip
y+x=31
System 2.1 ip
2x×2y=40
System 3.1 ip
8x-3y=42
Set 0.1 in
9y-8x=-146
Set 1.1 in
-y+x=8
Set 2.1 in
4y×5x=160
Set 3.1 in
-7y-3x=91
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
enthu iastic
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
borro
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
expen ive [dear]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
become [become]
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