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
1000000-0-620000=380000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
76400+(845413-391813)=530000
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-6+10-1=3
Cognizant 0.3 ip
1520÷19=80
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
(8×750)÷3=2000
Cognizant 6.3 ip
51×17×(10÷2)=4335
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
85000×103=8755000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
930-120÷15+18=940
Numeracy 0.3 ip
4704÷28+2280÷760=171
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
5973÷11=543
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
9.7-7.2+4.1=6.6
Partitive 0.2 dp
52.3+57.1-18.4=91
Partitive 1.1 dp
7.9+1.1=9
Partitive 1.2 dp
92.8-7.5=85.3
Partitive 2.1 dp
7.6-1.8-0.2=5.6
Partitive 2.2 dp
58.2-1.7+34=90.5
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
22.1+(76.9-19.9)=79.1
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
0.6×60=36
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
3.6×4=14.4
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
119800÷100 < 403155÷9
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
4 > 3
Ceil 2.1 in
-1-3 < 2-0
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
1/6 < 9/10
Improper 1.2 fp
361/37 = 361/37
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
57÷x=19
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
96-x÷2=43
Linear 4.2 ip
13×(84-x)=52
Linear 4.3 ip
(x-67)×39=897
Lineal 1.1 in
x+5=3
Lineal 2.1 in
x÷3=3
Rounding
Rounding 1.1 dp
37.6≈38
Rounding 2.1 dp
6.9+38.1≈45
Round 0.1 ip
434≈43
Round 0.2 ip
304+2279≈26
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
844542≈845
Round 2.2 ip
93+2447≈25
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
516÷2≈26
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
871135÷295≈3
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
non ense
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
uni ue
Lexicon 1.3
ba teria [virus]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
-48-(-43-79)=74
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
-45-23=-68
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
-10+(4-4)=-10
Conversant 3.2 in
-11-(-7-14)=10
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
(19+3)-(3+4)=15
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
763×519=395997
Cognizant 4.4 ip
32×15×327=156960
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
200÷(2×5)×10=200
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
-17-(10+9)÷19=-18
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
65-(-3-2)×3=80
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
4×2×8=64
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
36126÷27=1338
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
94.51-90.9=3.61
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
81.88-(16+24)=41.88
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
-4.4+5.1=0.7
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
-3.7-(6.9-8.6)=-2
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
1.5÷5×94=28.2
Denary 5.1 dp
(19×0.1)÷0.5=3.8
Definition 0.1 dp
83.1-0.5×20=73.1
Definition 1.1 dp
18.8+3.2×3=28.4
Definition 2.1 dp
16.3-32×2.7÷9=6.7
Definition 3.1 dp
(91.2-87.9)÷(0.5+0.6)=3
Negatory 1.1 dn
-18÷1.8-23=-33
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
46÷10=4.6
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
Numerator 0.1 fp
4/9+2/9+1/6=5/6
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
28/5-64/15=4/3
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
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
-1/4-1/8+1/8=-1/4
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
1/3+(-1/2+2/3)=1/2
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
32/25×95/16=38/5
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
76 > 24
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
-2×33 < -84÷3
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
88.2-7.2 > 23+19.2
Point 0.2 dp
82.87 < 98.31
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
44.273 < 99.665
Point 1.4 dp
843.617 > 814.01
Point 2.2 dp
26.9+67.33 > 54.33-4.18
Point 2.3 dp
46.766+8.23 < 97.161-7.524
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
-60÷(-2) > 1.2×2
Doted 1.1 dn
-71.1 < -31
Doted 1.2 dn
-63.97 < 63.96
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
3/10÷1/2 = 3/4×4/5
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
3/10 > -7/8
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
7÷x+1=-6
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
-x-52=-30
Lineal 1.3 in
53+x=-400
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
-50×(-x)=1000
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
-(x+6)×2=-6
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
50.35≈50.4
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
56.95-34.17≈22.8
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
7.42×10≈74.2
Language Exercises
Russian Vocabulary 2.4
бр дячий
Lexicon 2.3
p ckage [parcel]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
drive [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
-(640-803)-(938-400)=-375
Conversant 4.5 in
-(291780-635981)-(358302-814101)=800000
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
-593-384÷(2+2)=-689
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
317-(7+23)×25=-433
Logics 0.2 in
320÷(16÷2)÷10=4
Logics 1.2 in
3×(-17)=-51
Logics 2.2 in
50÷10×40=200
Logics 3.2 in
(6×60)÷(-40)=-9
Logics 4.2 in
-900÷3÷(-5×5)=12
Divisor_ENG 1.5 ip
256119÷177=1447
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
399.054-63.768+347.714=683
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
-230+(-50-620)=-900
Split 1.3 dn
-95.63+65.28=-30.35
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
84.22-90-39.26=-45.04
Split 2.4 dn
448.696-466.3+31.2=13.596
Split 3.3 dn
20-(-24.4-29)=73.4
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
36÷3=12
Divisional 1.3 dp
11.04÷29.44=0.375
Denary 0.2 dp
1.14÷4.56=0.25
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
3.25×0.64=2.08
Denary 2.3 dp
1.68÷0.56=3
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
66×1.25×0.08=6.6
Denary 4.3 dp
31.36×0.1÷2.56=1.225
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
20-8×0.8÷1.6=16
Definition 1.2 dp
2.5÷31.25+11.34=11.42
Definition 1.3 dp
65.713+3.519×4=79.789
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
Definition 3.2 dp
66.38-1.43÷(0.66+1.54)=65.73
Negatory 0.1 dn
1.2×32-73.5=-35.1
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
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
Numerator 0.3 fp
1/4+(47/452+2446/113)=22/1
Numerator 1.3 fp
74/7-29/63=91/9
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
18/19-1253/19=-65/1
Denominator 2.2 fn
5/6+191/66-12/77=25/7
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
1/3×51/19×741/17=39/1
Fragment 1.3 fp
1/13×91/15=7/15
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
3552/5400=148/225
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
1/3×1251/26+231/26=324/13
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
Complete 0.1 fn
5/2÷15/8+8/9=20/9
Complete 1.1 fn
11/6+3/2×10/9=7/2
Complete 1.2 fn
5/7÷1/35-81/13=244/13
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
120018+819982 > -357084+925279
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
602.613-85.287 < 694.791-76.789
Point 3.3 dp
1.38×8.5 < 33.75×1.6
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
70.126 = 70.126
Doted 1.3 dn
-96.706 < 88
Doted 1.4 dn
785.82 > -834.927
Doted 2.3 dn
38.144-67.745 = -11.327-18.274
Doted 2.4 dn
912.177-165.665 > -198.215-296.362
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
Improper 0.3 fp
5087/92 > 587/874
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
53437/604 > -13406/151
Descent 2.2 fn
-449/45+29/3 < 10/1-1/3
Descent 3.1 fn
1/2×2/5 > 1/5÷(-1/3)
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
щ колда
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
alc hol
Lexicon 1.4
associ tion [union]
Infinitive 2.2
swell [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-1687-30×91=-4417
Intellect 1.3 in
-1907+3456÷12=-1619
Intellect 2.3 in
-252÷18-1080÷90=-26
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(1600÷100)×87=1392
Logics 4.3 in
270÷3×(345÷5)=6210
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
40×0.001=0.04
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
1.5×480=720
Denary 4.4 dp
237.6×2÷600=0.792
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
92.16÷4-2×0.216=22.608
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
(2.157+2.843)×(39.029+39.004)=390.165
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-876.24-(1.227+11.773)×9.52=-1000
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
456.24-65.17×8÷14=419
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
98÷7=14
Fraction Examples
Denominator 0.3 fn
-24749/508+27/254=-24695/508
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
27/2×1/27×2/3=1/3
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
12/299+2/9÷13/18=8/23
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
765/44÷85/4+343/11=32/1
Complete 1.3 fn
100/7-1/3÷7/993=-33/1
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
540.624+412.17 > 324.749+572.751
Doted 3.4 dn
-17.64×16 < 12.5×(-20)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
553/9-7025/639 > 97/71-31/2
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
2x2+14x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
10y-2x=88
System 1.2 ip
x-y=55
System 2.1 ip
44x÷3y=22
System 3.1 ip
3y-2x=7
Set 0.1 in
x+y=-2
Set 1.1 in
y-x=9
Set 2.1 in
-3y×4x=-960
Set 3.1 in
-5y+5x=0
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
parti ularly
English Vocabulary 2.5
surro ndings
English Vocabulary 3.4
or ginal
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
browbeat browbeat [browbeat]
Infinitive 3.2
premake [premake]
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