Mathematics by Age Restriction

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.

Recommended for children from five years old

Integer Examples

Beginner 1.1 ip

3+5=8

Beginner 2.1 ip

9-5=4

Beginner 3.1 ip

10-6=4

Step-by-step Tasks

3+1=4

2+3=5

5+2=7

0+1=1

7+1=8

3-2=1

4-1=3

7-1=6

4-1=3

8-2=6

3-3=0

Recommended for children from six years

Integer Examples

9+7=16

20-15=5

7+2=9

10-7+2=5

Step-by-step Tasks

7+2=9

3+2=5

1+0=1

4+5=9

6+0=6

7+5=12

5+3=8

7+6=13

3+9=12

5+7=12

7+8=15

4+6=10

4+8=12

9+8=17

6-2=4

10+9=19

6+8=14

10-4=6

10-5=5

10-2=8

15-4=11

5-2=3

7-6=1

15-7=8

7-2=5

14-8=6

11-5=6

13-9=4

5-0=5

14-10=4

Recommended for children from seven years

Integer Examples

7-3=4

40+15=55

100-55=45

58-35=23

0+8+2=10

10-(3+4)=3

Step-by-step Tasks

13+5=18

5+5=10

11-10=1

22+4=26

23+11=34

4+11=15

0+20=20

18-15=3

0+25=25

14+16=30

27+3=30

17-6=11

18-1=17

14-2=12

10-3=7

19-14=5

8-5=3

19-16=3

12-7=5

16-6=10

1×2=2

2×10=20

1×1=1

7÷1=7

Comparisons

Natural 1.1 ip

4 > 3

Natural 2.1 ip

1+3 < 10-1

Language Exercises

Russian Vocabulary 1.1

г рох

Recommended for children from eight years

Integer Examples

11+(8-6)=13

283+511=794

797-67=730

990-50=940

7+4-1=10

10-(12-3)=1

27×2=54

70÷5=14

7×5=35

72+17=89

79-31=48

30-10=20

Step-by-step Tasks

26+14=40

29+6=35

18+0=18

19+12=31

40+50=90

4+16=20

1+2+4=7

19-18=1

30-20=10

16-9=7

11-7=4

37-17=20

60-30=30

3×1=3

2×1=2

4×10=40

10×3=30

10×5=50

7×5=35

10×5=50

6×2=12

8×6=48

7×9=63

5×8=40

8×5=40

0×8=0

8×7=56

9×4=36

6×6=36

10×2=20

9×10=90

10÷2=5

16÷2=8

6÷3=2

18÷2=9

40÷4=10

3÷1=3

30÷5=6

27÷3=9

5÷1=5

42÷6=7

48÷6=8

21÷7=3

70÷7=10

20÷4=5

80÷8=10

60÷6=10

72÷9=8

80÷8=10

90÷9=10

10÷10=1

Comparisons

10 > 4

72 > 30

70-30 < 87-30

5×1 < 5×2

Equations

Linear 1.1 ip

x-4=5

Linear 2.1 ip

x÷8=1

Language Exercises

Russian Vocabulary 1.2

г тара

Russian Vocabulary 2.1

чу ть

Russian Vocabulary 3.1

л песток

English Vocabulary 1.1

j y

English Vocabulary 2.1

lmost

Lexicon 1.1

nto [in]

Lexicon 2.1

h ng [weigh]

Recommended for children from nine years

Integer Examples

93-20=73

979-19-336=624

8+(21+71)=100

8÷2=4

3×26=78

316÷4=79

810÷3=270

30÷6×10=50

(6×15)÷10=9

9×(6÷3)×2=36

26÷3=8(2)

2600+1978=4578

2000-864=1136

7616-4368=3248

30×3=90

44÷2=22

46×3-90=48

8+92÷2÷2=31

99÷3=33

45÷10=4(5)

Step-by-step Tasks

12×2=24

11×2=22

3×13=39

2×15=30

17×4=68

5×18=90

4×9=36

5×16=80

20×1=20

6×16=96

10×7=70

5×6=30

8×16=128

18×3=54

20×9=180

15×7=105

7×15=105

20×19=380

6×12=72

24÷2=12

99÷11=9

51÷3=17

2÷2=1

56÷4=14

45÷5=9

16÷2=8

48÷4=12

100÷50=2

42÷6=7

21÷7=3

66÷6=11

88÷8=11

125÷5=25

108÷9=12

35÷7=5

90÷10=9

17÷1=17

63÷9=7

Comparisons

70 > 55

458 < 910

744-348 > 809-426

4×4 < 11×4

Equations

Linear 1.2 ip

78-x=16

Linear 2.2 ip

x÷20=2

Linear 3.1 ip

2-10÷x=1

Language Exercises

Russian Vocabulary 1.3

ант гуманный

Russian Vocabulary 2.2

аквар ум

Russian Vocabulary 3.2

м дведь

English Vocabulary 3.1

th y

10+

Recommended for children from ten years

Integer Examples

570-23+355=902

108027+666122=774149

688969-34501=654468

949282-152711=796571

431-(247-156)=340

21×38=798

4×68=272

6888÷3=2296

17×91=1547

400÷4÷2=50

270÷(3×2)=45

810÷(3×3)÷10=9

60÷5=12

281269+628731=910000

820119-816514=3605

160633+200447=361080

7925×4=31700

1397×50=69850

938÷2=469

64-4×12=16

840÷15+312=368

292+202×2-620=76

21+(42-14)÷7=25

785÷5=157

112÷14=8

Comparisons

Natural 0.3 ip

740-15 > 869-389

Natural 1.4 ip

201882 < 931350

Natural 2.4 ip

385288+74712 < 994888-126225

Natural 3.3 ip

2×5 < 8×9

Equations

7×x=7

x+136=763

41×x=410

80÷x+6=8

2×(1+x)=10

Rounding

Round 1.1 ip

802≈80

Round 1.2 ip

1282≈13

Round 2.1 ip

256+245≈50

Language Exercises

Russian Vocabulary 2.3

нос рог

English Vocabulary 1.2

range

English Vocabulary 2.2

ra ely

Lexicon 1.2

soft y [gently]

Lexicon 2.2

m in [chief]

Infinitive 1.1

outthink outthought [outthink]

11+

Recommended for children from the age of eleven

Integer Examples

Beginner 0.5 ip

689169+235946=925115

Beginner 4.5 ip

170000+63167+23111=256278

Beginner 5.5 ip

581887-(122155+283170)=176562

Conversant 1.1 in

4-3=1

Conversant 1.5 in

147594-525292=-377698

-2-4-1=-7

8900÷100=89

1320÷20÷2=33

(50÷10)×500=2500

6336÷4÷(66÷6)=144

271÷87=3(10)

11125×800=8900000

7505÷79=95

180×3+161=701

7610-1020÷102=7600

6000+80×175=20000

584×95-1280÷128=55470

84+(576-76)÷4=209

297+(747-702)÷15=300

1681÷41=41

236÷22=10(16)

Decimal Examples

2.5+8-3=7.5

9.2+(87.1-39.2)=57.1

3.6-0.6=3

72.4-24.6=47.8

1.5+2.1+0.6=4.2

91.9-40-49.9=2

1.2+(0.9+5)=7.1

22.1+(9-0)=31.1

3.3÷0.6=5.5

0.6×60=36

97.2÷1.5=64.8

7×1.2=8.4

Divisional_ENG 1.1 dp

9.6÷2.4=4

Fraction Examples

Numerator 1.1 fp

2/5+1/5=3/5

Comparisons

Natural 0.4 ip

527041+91192 > 987931-586331

2691×86 > 2×1274

6+1 > -4-3

-5 > -6

10-5 > 10-9

-2×4 < 6÷2

11.6 < 65.2

85-17.8 > 58.6-56.1

1/2 > 1/6

23/14 < 54/7

3/5-2/5 < 1/4+1/4

Equations

48÷x-1=1

352÷(5+x)=32

180-720÷x=0

(15+x)×2=30

714÷(x+1)=51

-10-x=-4

x÷3=3

Rounding

37.3≈37

2.8+54.2≈57

9×101≈91

4×2234≈89

727×1288≈936

425693≈426

7376-3006≈44

476428-337943≈138

3×193≈58

5770÷10≈6

317850÷489≈1

Language Exercises

Russian Vocabulary 1.4

иллюм нация

Russian Vocabulary 3.3

пр дирчиво

English Vocabulary 1.3

e pire

English Vocabulary 2.3

cen ral

English Vocabulary 3.2

fr end

Lexicon 1.3

lly [join]

Infinitive 2.1

take [take]

12+

Recommended for children from the age of twelve

Integer Examples

2-9=-7

3-20+0=-17

-50+23=-27

-12+12=0

-56-21=-77

2+11-14=-1

-36+10-42=-68

3+(-8+10)=5

13+(6-18)=1

-52-(-74-18)=40

-(0+0)+(4-3)=1

-(9-19)-(11+5)=-6

(97+48)-(25+73)=47

7560÷42=180

738×345=254610

430000÷200=2150

889320÷2=444660

583200÷72÷4=2025

24000÷(48÷3)=1500

744192÷64÷(19×34)=18

15213×5107=77692791

49987÷37=1351

-45÷5-51=-60

73-6×22=-59

23+24÷4+41=70

65+21÷(26-5)=66

-66÷(-36÷6)×5=55

5×2=10

10×(-3)×(-3)=90

(36÷6)×5=30

-10×(-9)÷(-30÷(-3))=9

Divisor_ENG 1.4 ip

90000÷36=2500

Decimal Examples

Partitive 0.3 dp

10.97-(10-7.29)=8.26

Partitive 1.3 dp

47.47-7.76=39.71

Partitive 2.3 dp

12.65+34.4+40.93=87.98

Partitive 3.3 dp

81.49+(73-57.47)=97.02

0.8+(-6.7+0.3)=-5.6

2.5-(-61.3-32)=95.8

-1.2-5.1=-6.3

-16.6+94.5=77.9

-3.1-7+4=-6.1

0.3-88.7+77.4=-11

5.2-(8+1.7)=-4.5

-17.4-(0.6-30.2)=12.2

38÷5=7.6

2.86÷0.13=22

(46.3÷92.6)×6.8=3.4

82×0.01=0.82

43.2÷72=0.6

8×0.27=2.16

13×1.5×1.2=23.4

5.6÷(44.8÷4)=0.5

30.4-4÷0.5=22.4

11.1+3.8×3=22.5

54+0.5×2.6+2.9=58.2

0.8×(23.9-21.4)×10=20

Negatory 1.1 dn

-10.2-15.6÷2.4=-16.7

Negatory 2.1 dn

-91.4-3.5×13.2÷7=-98

Residual_ENG 1.1 dp

51÷10=5.1

Divisional_ENG 1.2 dp

1.28÷4=0.32

Fraction Examples

1/3+1/2=5/6

55/6+5/6=10/1

13/33+379/99=38/9

1/4+1/4+1/4=3/4

7/16+1/16+29/10=17/5

4/5-(4/5-7/10)=7/10

1/2+(65/46+2/23)=2/1

5/8+1/4=7/8

-1/2-1/5=-7/10

-9/10+3/10+1/10=-1/2

-1/2-(1/4-1/4)=-1/2

2/5×5/8=1/4

33/2÷99/26=13/3

3/5×10/9÷6/5=5/9

72/81=8/9

550/572=25/26

2/3×7/6+32/9=13/3

Comparisons

100 > -74

-735 < 706

43 > 16

450 > -610

-4+57 > 24+13

-172-301 < 70+250

-40÷(-20) < -90÷(-3)

-84×(-9) > 150×3

1.8×5 = 45.9÷5.1

31.69+5.5 > 63-25.82

79.92 > 79.9

93.309 > 44

316.199 < 316.219

70.62-25.85 = 26.99+17.78

Point 2.3 dp

95.598-3.355 = 99.734-7.491

20.3÷2.9 < 94.5÷5

28×1.8 > 18.36÷2

15.2+3.5 > -18-10.2

58.53-7.3 > -81.46+100

97 < 97.3

76.46 < 97.17

-1.5+100 > 62.2+3.8

26.39+57.35 > 2.22+1.44

1.5×16.8 > -2.5×(-8)

2.5×3 < -15×(-2.3)

3/5-1/10 = 1/4+1/4

12/83 < 27/11

14/1 < 85/1

1/3+25/8 > 23/3-241/42

Improper 2.3 fp

139/2-439/766 > 477/8-19/8

Improper 3.1 fp

1/2×4/5 > 3/5×5/9

Improper 3.2 fp

1/4×124/55 > 1/2×76/99

Descent 1.1 fn

7/8 > -2/5

Descent 1.2 fn

-373/73 < 5/1

Descent 2.1 fn

1/5+3/5 = -1/5+1/1

Equations

-x÷(-2)=-1

56÷(x+78)=7

-97+x=-37

53+x=-400

x÷15=1

-x÷26=-15

-x÷10-9=-8

x÷10+1=-1

-(-5-x)×2=-10

-6×(-72+x)=72

Rounding

80.9-15.9≈65

30.97≈31

17.03≈17

42.109≈42.11

52.06+0.95≈53

15.449+57.622≈73.07

21.7÷37.3≈1

40.23÷20.5≈2

Language Exercises

Russian Vocabulary 2.4

э спрессия

English Vocabulary 3.3

apolo ize

Lexicon 2.3

stri ed [streaked]

Infinitive 1.2

typecast typecast [typecast]

Infinitive 3.1

dream [dream]

13+

Recommended for adolescents from the age of thirteen

Integer Examples

Conversant 0.4 in

-287+656=369

Conversant 0.5 in

-270000-29000-1000=-300000

Conversant 1.4 in

-110-610=-720

Conversant 2.4 in

497+571-180=888

Conversant 2.5 in

-325759+772245-446486=0

Conversant 3.4 in

622-(-707+509)=820

Conversant 3.5 in

521004+(-874424+243978)=-109442

Conversant 4.4 in

-(92-67)+(152+426)=553

Conversant 4.5 in

-(777050-454953)+(150000-20486)=-192583

900000÷500=1800

52÷2-236=-210

10×2+312=332

16-39×12÷18=-10

326-(-37-39)÷4=345

-210÷(6÷(-3))=105

-10×20=-200

5×(-10)÷2=-25

(20×(-50))÷(-25)=40

5×(-2)×(5×7)=-350

6509772÷633=10284

Decimal Examples

Partitive 0.4 dp

18+(462+194.741)=674.741

Partitive 1.4 dp

589.082-100=489.082

Partitive 2.4 dp

246.005+454.479+249.2=949.684

Partitive 3.4 dp

237.038+(265.417+175.545)=678

Split 0.3 dn

56.67-(-58.06+34.73)=80

Split 0.4 dn

-230+(-50-620)=-900

Split 1.3 dn

-93.76+11=-82.76

Split 1.4 dn

-391.575+236.8=-154.775

Split 2.3 dn

-69.23+90.32-50.09=-29

Split 2.4 dn

-600+543.786+24.469=-31.745

Split 3.3 dn

-95.7-(-52.69+11.29)=-54.3

Split 3.4 dn

105.845-(-165.539+141.384)=130

32÷20=1.6

0.018÷2=0.009

0.5×16=8

4.86÷5.625=0.864

25.6×0.625=16

24.48÷3.2=7.65

79.596÷4.752=16.75

2÷0.08×0.32=8

3.9÷2.6×65=97.5

(10.25÷51.25)×0.2=0.04

Denary 5.3 dp

(35.858÷17.929)×0.002=0.004

2.16×45-15.01=82.19

90.68-1.6×12.5=70.68

54×1.76-67.04=28

34.72-0.98×4×1.25=29.82

Definition 2.3 dp

1.5×1.36+4.752÷1.65=4.92

Definition 3.2 dp

96.55-(15.73-14.45)×16.25=75.75

63.2-43.2÷1.2=27.2

56.77+3×10.4=87.97

24+18.75×0.32=30

-84.456÷93.84+62.813=61.913

Negatory 2.2 dn

82.2-0.65×0.2+7.99=90.06

Negatory 2.3 dn

-15.912÷13-46.872÷2.88=-17.499

Negatory 3.1 dn

(16.5-16)×(6.5+1.9)=4.2

Negatory 3.2 dn

(0.5+0.78)×(-4.33-6.67)=-14.08

Residual_ENG 1.2 dp

50÷25=2

Divisional_ENG 1.3 dp

0.092÷5.75=0.016

Fraction Examples

Numerator 0.3 fp

227/3-2/3-118/3=107/3

Numerator 1.3 fp

127/9+89/9=24/1

Numerator 2.3 fp

3/4+177/4-5323/176=2597/176

Numerator 3.3 fp

1/2+(15/2+817/141)=1945/141

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

-53495/666+13/18=-26507/333

Denominator 2.2 fn

757/77-1/3-20/21=94/11

Denominator 3.2 fn

-6/13-(-14/39-4/39)=0/1

3/2×2/3=1/1

6/7÷4/35×1/10=3/4

49/96×2586/49=431/16

23/6÷115/18×130/3=26/1

Fragment 2.3 fp

38/3÷380/21÷84/55=11/24

1/7÷(2/5×5/2)=1/7

(35/4÷7/5)÷25/3=3/4

56368/572=1084/11

35/4×2/5-17/8=11/8

51/2÷85/6+443/40=103/8

(1/3+1/3)×1/2=1/3

39/4-5/2÷10/3=9/1

61/8-15/4÷5/9=7/8

-7/8×1308/49+473/21=-5/6

Complete 2.1 fn

-1/2×(7/3-10/3)=1/2

Comparisons

Ceil 0.4 in

501900 > -501900

Ceil 1.4 in

-815196 < 17890

Ceil 2.4 in

120018+819982 > -357084+925279

Ceil 3.4 in

-2×8 > 168000÷(-4)

Point 0.3 dp

70.062-9.497 > 27.029+9.946

Point 0.4 dp

7.28×7.5 < 1.875×240

Point 2.4 dp

707.652+80.746 = 130.247+658.151

Point 3.3 dp

2.5×3.456 < 2×8.4

Point 3.4 dp

6.4×5 < 64.026÷2

Doted 0.3 dn

75.693-50.918 < -9.088+89.088

Doted 1.3 dn

-46.331 < 52

Doted 1.4 dn

-370.644 < 939.731

Doted 2.3 dn

-27.286+98.194 > -2-0.119

Doted 2.4 dn

-111.085-450.361 < -871.599+548.167

Doted 3.3 dn

60.515÷1.235 > -14.4×(-2)

Improper 0.3 fp

1/6×524/89 > 4/11÷356/915

Improper 3.3 fp

77/96÷1771/636 < 47/66×4482/47

Descent 0.1 fn

1/4+3/4 > 1/1-4/5

Descent 0.2 fn

127/21 > 256/63

Descent 1.3 fn

53437/604 > -13406/151

Descent 2.2 fn

3/28-8/91 < -65/11+6/1

Descent 3.1 fn

1/2×2/5 > 1/5÷(-1/3)

Descent 3.2 fn

-1/2×(-6/1) > 5/1×8/15

Equations

x-4=26

29-767÷x=88

48×(x-769)=-624

y-x=0

Rounding

Rounding 0.3 dp

2.193×30.124≈66.06

Rounding 3.3 dp

16×5≈80

Language Exercises

Russian Vocabulary 1.5

диф рамб

Russian Vocabulary 3.4

систем тически

English Vocabulary 1.4

rema ning

English Vocabulary 2.4

poten ial

Lexicon 1.4

poi onous [noxious]

Infinitive 2.2

woke [wake]

14+

Recommended for adolescents from the age of fourteen

Integer Examples

Intellect 0.3 in

(900-3121)×(2100-2118)=39978

Intellect 1.3 in

6600-100×100=-3400

Intellect 2.3 in

-5264×11-91×56=-63000

Intellect 3.3 in

(1100+8980)÷(6142-5806)=30

3168÷2÷(-4)=-396

-2500÷10=-250

-15×500÷(-2)=3750

3×(36×(-40))=-4320

77×(-25)×(-45÷(-15))=-5775

Decimal Examples

20÷80=0.25

167.552÷152.32=1.1

50.625×0.384=19.44

0.506÷5.06=0.1

8×0.001=0.008

28.56÷10÷6.8=0.42

(99×5.06)÷3.3=151.8

37.849-14.168÷5.5+54.931=90.204

Definition 0.4 dp

205.384×(0.5+1)÷385.095=0.8

Definition 1.4 dp

1.656÷41.4+695.533=695.573

Definition 2.4 dp

377.604-38.556÷0.765-177.715=149.489

Definition 3.3 dp

2.78×(0.725+8.575)÷34.472=0.75

Definition 3.4 dp

8.125×(2.256+1.512)÷13=2.355

Negatory 0.3 dn

-25.734+8×8.918=45.61

Negatory 0.4 dn

918.065+(4.445+1.555)×4.48=944.945

Negatory 1.4 dn

2.7×17.55-15.385=32

Negatory 2.4 dn

-521.82-22.4÷7.168÷25=-521.945

Negatory 3.3 dn

22.011-(21-11.1)÷6.6=20.511

Negatory 3.4 dn

20+(0.534+0.066)÷0.003=220

Residual_ENG 1.3 dp

28÷14=2

Fraction Examples

Denominator 0.3 fn

-2/11+(-9/253-3448/115)=-151/5

Denominator 2.3 fn

260/7+153/7-28589/479=-328/479

Denominator 3.3 fn

83/234+(-1/42-1/252)=17/52

Fragment 0.3 fp

657/17÷1314/17×42/29=21/29

Fragment 3.3 fp

(43/50÷43/20)×91/9=182/45

Limited 0.2 fp

777/40×(87/7-82/7)=111/8

Limited 1.3 fp

12/299+2/9÷13/18=8/23

Limited 2.2 fp

(1231/34-1069/34)÷27/4=12/17

Complete 0.2 fn

41/44-85/9÷748/63=3/22

Complete 1.3 fn

212/981-19/48×30488/327=-23995/654

Complete 2.2 fn

1551/32×(-2/5-18/55)=-141/4

Comparisons

Doted 0.4 dn

-60.698÷(-4.4) > -856.26÷60.3

Doted 3.4 dn

-62.9÷3.7 = 358.666÷(-21.098)

Descent 0.3 fn

-45457/472 < -807/10

Descent 2.3 fn

-1/10-373/730 < 1/3+1/1

Descent 3.3 fn

28/225÷(-56/423) < 79/1÷7900/131

Equations

x²-3x-18=0

5x²=80

2x²+14x=0

-x²+6x-5=0

8y-3x=50

y+x=199

7y×x=280

x+4y=38

-3y×12x=-324

-x-y=4

2x×13y=390

-5x-5y=-5

Language Exercises

Russian Vocabulary 2.5

толл

English Vocabulary 1.5

a knowledge

English Vocabulary 2.5

unre sonable

English Vocabulary 3.4

themsel es

Lexicon 1.5

grandda ghter [relative]

Lexicon 2.4

anal se [decompose]

Infinitive 1.3

win won [win]

Infinitive 3.2

sat [sit]

15+

Recommended for adolescents from the age of fifteen

Integer Examples

10×(-100)=-1000

-208÷(-26)=8

-63×(-159)×41=410697

24×(354×62)=526752

-17×(-39)×(10×24)=159120

Fraction Examples

Limited 0.3 fp

62/221×65/496+13/24=59/102

Limited 2.3 fp

(367/760+93/760)×15599/598=821/52

Complete 0.3 fn

(1/2-9/2)×79/854=-158/427

Complete 2.3 fn

-193/14÷(-1/11-4/77)=193/2

Equations

28x²-1120x=0

30x²=60750

-72x²-5760x=0

2x²+34x-540=0

x+y=100

y+x=1296

5x÷y=5

60x-20y=60

-y-x=-4

y+x=51

29568y÷77x=-4480

49x+95y=11550

Language Exercises

Russian Vocabulary 3.5

н верх

English Vocabulary 3.5

repres ntative

Lexicon 2.5

surpri ingly [amazingly]

Infinitive 2.3

buy [buy]

16+

Recommended for adolescents from the age of fifteen

Equations

678x²=43392

812x²=6005552

276x²+2760x=0

3x²+288x+6045=0

89y+72x=87280

38x×2y=2708640

20y+13x=22499

18480y÷88x=525

-y+x=590

16y×x=-8000000

-32y-4x=27116

Language Exercises

Infinitive 3.3

refit [refit]

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