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

6+3=9

Beginner 2.1 ip

8-7=1

Beginner 3.1 ip

1+2=3

Step-by-step Tasks

1+2=3

4+1=5

1+6=7

0+3=3

2+1=3

4-1=3

6-3=3

7-4=3

4-1=3

8-2=6

6-3=3

Recommended for children from six years

Integer Examples

1+6=7

17-13=4

3+15=18

8-4-2=2

Step-by-step Tasks

5+2=7

1+3=4

8+2=10

4+4=8

4+0=4

5+4=9

5+3=8

7+6=13

3+9=12

3+7=10

7+8=15

3+3=6

8+9=17

5+9=14

6-0=6

10+7=17

6+8=14

5-4=1

7-5=2

12-1=11

14-1=13

5-2=3

7-6=1

12-7=5

7-2=5

15-8=7

11-5=6

19-9=10

15-0=15

13-10=3

Recommended for children from seven years

Integer Examples

8-(1+6)=1

2+92=94

75-21=54

75-27=48

14+1-12=3

1+(5+1)=7

Step-by-step Tasks

13+5=18

13+2=15

6+14=20

11+2=13

22+3=25

4+7=11

10+15=25

12+17=29

5+25=30

25+6=31

7+12=19

15-8=7

10-1=9

13-2=11

19-13=6

24-4=20

19-5=14

12-6=6

12-7=5

17-17=0

1×6=6

8×2=16

1×4=4

9÷1=9

Comparisons

Natural 1.1 ip

2 < 7

Natural 2.1 ip

5-0 > 8-5

Language Exercises

Russian Vocabulary 1.1

х зяин

Recommended for children from eight years

Integer Examples

12-9=3

24+536=560

694-274=420

749-181=568

38+62-13=87

20-(7+10)=3

4×18=72

78÷39=2

30÷10=3

66+17=83

75-42=33

90-34=56

Step-by-step Tasks

12+8=20

27-22=5

18+0=18

19+13=32

50+30=80

14+16=30

1+4+3=8

19-18=1

30-20=10

16-9=7

14-6=8

29-9=20

70-40=30

3×1=3

10×2=20

4×2=8

10×3=30

8×5=40

3×3=9

10×5=50

1×6=6

9×6=54

8×7=56

6×3=18

7×10=70

8×4=32

8×7=56

4×9=36

6×3=18

5×8=40

10×2=20

20÷2=10

4÷2=2

18÷3=6

12÷3=4

24÷4=6

8÷1=8

15÷5=3

24÷4=6

20÷4=5

0÷6=0

30÷5=6

21÷7=3

70÷7=10

50÷5=10

32÷8=4

24÷8=3

81÷9=9

15÷5=3

90÷9=10

0÷10=0

Comparisons

10÷10 < 6÷1

37 > 30

91-12 > 16-2

3÷3 < 8÷4

Equations

Linear 1.1 ip

x-1=6

Linear 2.1 ip

6×x=6

Language Exercises

Russian Vocabulary 1.2

з бавы

Russian Vocabulary 2.1

ц рк

Russian Vocabulary 3.1

л песток

English Vocabulary 1.1

m il

English Vocabulary 2.1

on y

Lexicon 1.1

h use [home]

Lexicon 2.1

h r [pronoun]

Recommended for children from nine years

Integer Examples

10+7+44=61

658-169+392=881

82-(48-36)=70

9×2=18

7×32=224

648÷4=162

880÷16=55

2×30÷6=10

90÷(18÷2)=10

4÷2×(10×4)=80

16÷6=2(4)

6800+743=7543

9100-3765=5335

6218-3367=2851

29×2=58

84÷6=14

55+3×10=85

16+22÷11×4=24

84÷6=14

45÷10=4(5)

Step-by-step Tasks

12×2=24

11×2=22

10×3=30

15×3=45

4×13=52

5×11=55

2×12=24

2×31=62

8×5=40

6×15=90

7×14=98

1×15=15

11×8=88

3×6=18

11×9=99

19×9=171

7×15=105

20×8=160

2×20=40

14÷2=7

99÷11=9

18÷3=6

2÷2=1

56÷4=14

75÷5=15

16÷2=8

36÷2=18

100÷50=2

12÷6=2

126÷7=18

72÷4=18

72÷8=9

80÷20=4

45÷9=5

98÷7=14

90÷10=9

108÷9=12

32÷4=8

Comparisons

70 > 2

80 < 864

72+174 < 680-264

60÷5 < 100÷2

Equations

Linear 1.2 ip

x+45=65

Linear 2.2 ip

x÷20=2

Linear 3.1 ip

x÷4+8=10

Language Exercises

Russian Vocabulary 1.3

обн вление

Russian Vocabulary 2.2

аквар ум

Russian Vocabulary 3.2

Амер ка

English Vocabulary 3.1

a ay

10+

Recommended for children from ten years

Integer Examples

0+111=111

590593+269407=860000

985841-107208=878633

126529+74200=200729

958-(34+243)=681

588÷7=84

54×52=2808

8800÷88=100

3600÷50=72

400÷4÷2=50

(120÷2)÷3=20

2×(10÷5)×100=400

238÷14=17

281269+628731=910000

630944-597723=33221

300000+489539=789539

6615×2=13230

5693×21=119553

300÷5=60

9×6-44=10

570÷2-149=136

579-132÷6-56=501

(4+7)×(7+2)=99

696÷2=348

284÷16=17(12)

Comparisons

Natural 0.3 ip

40×4 < 936÷3

Natural 1.4 ip

391473 < 539839

Natural 2.4 ip

121603+55410 < 998551-217256

Natural 3.3 ip

4×44 > 529÷23

Equations

7÷x=7

x+103=220

x÷91=7

2×x-43=37

(x+3)×2=10

Rounding

Round 1.1 ip

438≈44

Round 1.2 ip

763≈8

Round 2.1 ip

256+245≈50

Language Exercises

Russian Vocabulary 2.3

и вестный

English Vocabulary 1.2

ch at

English Vocabulary 2.2

ins de

Lexicon 1.2

pi k [rose-color]

Lexicon 2.2

our [pronoun]

Infinitive 1.1

outthink outthought [outthink]

11+

Recommended for children from the age of eleven

Integer Examples

Beginner 0.5 ip

259242+(953998-698000)=515240

Beginner 4.5 ip

162366+277869+128409=568644

Beginner 5.5 ip

517108+(102556+80200)=699864

Conversant 1.1 in

7-7=0

Conversant 1.5 in

-74568-307000=-381568

0-2+3=1

500÷100=5

40×200÷80=100

1456÷(14÷7)=728

2×3648÷(128÷2)=114

271÷87=3(10)

85000×103=8755000

7479÷27=277

180×3+161=701

1155+96÷32=1158

9108÷12-59=700

695+2000÷16÷25=700

(57+103)÷(770-754)=10

Numeracy 3.3 ip

52+(50+54)×12=1300

Divisor_ENG 1.3 ip

3565÷31=115

Remainder_ENG 1.3 ip

75÷15=5

Decimal Examples

0+(4.7+0.8)=5.5

67.7-6.1-41.9=19.7

5.7-3.5=2.2

0.9+71.2=72.1

4.6-2.4+4.8=7

83.7-19.8-36.9=27

2.4+(0.1+1)=3.5

22.1+(76.9-19.9)=79.1

30.6÷8.5=3.6

5.6×3=16.8

63.8÷2.2=29

3.6×4=14.4

Divisional_ENG 1.1 dp

15.4÷7=2.2

Fraction Examples

Numerator 1.1 fp

1/4+3/4=1/1

Comparisons

293913÷51 > 128×26

729615÷127 < 288×75

3+3 > -7+3

-8 < 6

1+0 < -1+3

-6÷3 < 4×2

73 > 64.9

94.5-79.9 > 14+0.4

1/6 < 9/10

454/61 < 25/3

9/10-1/10 > 4/5-2/5

Equations

x-14=11

480+x÷62=495

119+930÷x=150

(x-94)×16=96

52×(x+9)=936

x+3=-7

x×7=-7

Rounding

11.9≈12

92.4-11.3≈81

675÷9≈8

992≈10

252375+432481≈685

240012≈240

30+73≈1

659654+74041≈734

339÷3≈11

5770÷10≈6

870504÷152≈6

Language Exercises

Russian Vocabulary 1.4

ор ентация

Russian Vocabulary 3.3

п ркет

English Vocabulary 1.3

r bbish

English Vocabulary 2.3

de erted

English Vocabulary 3.2

d rty

Lexicon 1.3

else here [pronoun]

Infinitive 2.1

backslide [backslide]

12+

Recommended for children from the age of twelve

Integer Examples

-3-8+10=-1

-(1-0)-(1-7)=5

-60+10=-50

18-20=-2

-93-5=-98

15+8-4=19

-36+10-42=-68

3+(8-1)=10

0-(-2-16)=18

-52-(-74-18)=40

(9-3)-(8+5)=-7

-(12+10)+(16+5)=-1

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

7560÷42=180

729×983=716607

340000÷200=1700

849×664=563736

500×7÷5=700

(500÷2)×40=10000

200×38÷(190×4)=10

48742×1676=81691592

22400÷32=700

34-3×9-37=-30

-2×4+27=19

30-100÷5÷10=28

(6-66)÷(-2-4)=10

-6×(-3)×5=90

8×(-8)=-64

-48÷(-2)÷4=6

(36÷6)×5=30

-4×(-2)×(3×4)=96

43243÷83=521

Decimal Examples

38.43-34.77=3.66

16.63+65.61=82.24

0.88+53.43+11.69=66

8.06+(27.11-0)=35.17

0.8+(-6.7+0.3)=-5.6

-18+5.6+82.2=69.8

-1.2-5.1=-6.3

33.7-5.7=28

-4.6+9+5.6=10

-20.1-31.7-48.2=-100

5-(5.1-4.5)=4.4

-58.1+(-80.4+49.4)=-89.1

48÷6=8

21.12÷3=7.04

1.2÷2=0.6

57×0.01=0.57

0.96÷0.8=1.2

0.9×4.8=4.32

82.8÷23÷4.5=0.8

7.6÷(76×0.2)=0.5

2.5×16.8-33.1=8.9

2×0.4+41.5=42.3

2.8÷0.5-3×1.1=2.3

(91.2-87.9)÷(0.5+0.6)=3

Negatory 1.1 dn

2×5.6-10.5=0.7

Negatory 2.1 dn

58+8÷2.5÷2=59.6

Residual_ENG 1.1 dp

57÷10=5.7

Divisional_ENG 1.2 dp

1.28÷4=0.32

Fraction Examples

Numerator 0.1 fp

5/8+1/4=7/8

Numerator 0.2 fp

8/13+5/13+17/22=39/22

74/11-62/33=160/33

7/8-3/8-1/2=0/1

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

9/10-(7/10+1/10)=1/10

Numerator 3.2 fp

266/29-(47/29-13/29)=8/1

1/5-(-4/5+1/6)=5/6

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

-1/2-1/2+2/5=-3/5

1/3+(1/6-1/4)=1/4

1/3÷2/5=5/6

23/5×154/23=154/5

1/5×5/2÷5/8=4/5

2/8=1/4

176/4=44/1

2/3×6/7+3/7=1/1

Comparisons

-38×2 < 16÷(-2)

978÷(-6) < -810÷6

65 > -16

450 > -610

-2+98 > -55+80

-87-519 < -442-116

-12×(-3) > 68÷(-2)

-84×(-9) > 150×3

38.4 > 1.7

41.62-2.87 < 8.3+66.62

81 > 80.07

83.811 < 83.827

316.199 < 316.219

26.53+26.28 > 1.85+50.07

Point 2.3 dp

83.011-3.011 > 85.057-20.761

3×0.9 < 0.5×15

11×0.6 < 25.6×3.5

28.9 > -84.6

-16.83-80.19 < 47.97-3.33

76.8 > -62.4

-32.03 < 10

-49-1 < -31.6+75.9

26.39+57.35 > 2.22+1.44

Doted 3.1 dn

-97.2÷1.8 < 2×(-4.4)

Doted 3.2 dn

-39÷1.95 > 1.32×(-39)

1/2×2/7 < 1/2÷5/8

3/5+27/5 > 1/4+1/4

14/1 < 85/1

405/44-157/28 < 1/2+179/28

Improper 2.3 fp

23/627+4/627 < 577/68+2929/340

8/9×3/8 < 1/10÷1/4

1/2÷61/34 < 1/2×3/5

-1/6 > -3/4

-17/2 > -9/1

-1/5+2/5 < -5/9+8/9

Equations

x-10=-1

19×(x+53)=-76

x-20=-60

x+720=0

-x÷5=4

600÷x=-40

10-2×x=0

52+94÷x=54

(-1+x)×3=-6

20×(78+x)=0

Rounding

88÷63≈1

9.41×9.25≈87

86.75≈86.8

11.246≈11.25

7.21+28.36≈35.6

13.293+4.325≈17.62

83÷9.1≈9

26.91÷58≈0.5

Language Exercises

Russian Vocabulary 2.4

к ндидат

English Vocabulary 3.3

se ing

Lexicon 2.3

stud o [workshop]

Infinitive 1.2

teach taught [teach]

Infinitive 3.1

drive [drive]

13+

Recommended for adolescents from the age of thirteen

Integer Examples

Conversant 0.4 in

(281+450)-(997-290)=24

Conversant 0.5 in

388273+(993690-733140)=648823

Conversant 1.4 in

161-770=-609

Conversant 2.4 in

-130+48+764=682

Conversant 2.5 in

-39565-759256-36212=-835033

Conversant 3.4 in

61+(946-869)=138

Conversant 3.5 in

-177674-(234978+201437)=-614089

Conversant 4.4 in

(290-423)-(613-820)=74

Conversant 4.5 in

(759248-820698)-(50470-362477)=250557

5932716÷157=37788

52÷2-236=-210

-720÷360+520=518

916÷2-280÷35=450

317-(7+23)×25=-433

-37×(-21÷(-3))÷37=-7

24÷(-3)=-8

-720÷2÷3=-120

-2×(-33×(-10))=-660

-15÷(5×3)×(-19)=19

4564864÷128=35663

Decimal Examples

Partitive 0.4 dp

461.965+76+149.369=687.334

Partitive 1.4 dp

357.895-277.895=80

Partitive 2.4 dp

540.918-322.772+781.854=1000

Partitive 3.4 dp

423.627+(374.827-30)=768.454

Split 0.3 dn

56.67-(-58.06+34.73)=80

Split 0.4 dn

150.322+(307.251-564.84)=-107.267

Split 1.3 dn

29.75+40.32=70.07

Split 1.4 dn

-450-152.449=-602.449

Split 2.3 dn

-95.7+85.46+45.64=35.4

Split 2.4 dn

-275.078-87.635-530.181=-892.894

Split 3.3 dn

-4.26+(-2.64+40.1)=33.2

Split 3.4 dn

389.203+(-574.956+293)=107.247

77÷28=2.75

0.924÷0.5=1.848

17.28÷28.8=0.6

18×0.12=2.16

3.4×4=13.6

10.368÷0.648=16

24×0.004=0.096

1.2÷40×70=2.1

0.8×0.5÷0.004=100

(1.2×0.3)÷0.02=18

(0.8÷0.016)÷5=10

89.87+20×0.38=97.47

58.94-0.98÷0.7=57.54

37.5+18×1.2=59.1

34.72-0.98×4×1.25=29.82

Definition 2.3 dp

51.038-48×0.6-11.004=11.234

Definition 3.2 dp

(0.5+0.7)×(4.3+39.7)=52.8

Negatory 0.1 dn

63.2-43.2÷1.2=27.2

Negatory 0.2 dn

-2.88×0.25-3.2÷12.8=-0.97

24+18.75×0.32=30

-4.1×16+93.42=27.82

8.75×0.64-5.7×8=-40

70+66÷3.52÷93.75=70.2

Negatory 3.1 dn

(16.5-16)×(6.5+1.9)=4.2

Negatory 3.2 dn

4.62-(79.8-94.8)×0.32=9.42

Residual_ENG 1.2 dp

54÷50=1.08

Divisional_ENG 1.3 dp

0.048÷0.01=4.8

Fraction Examples

Numerator 0.3 fp

4744/99-(1/5+356/495)=47/1

Numerator 1.3 fp

56/13+204/13=20/1

Numerator 2.3 fp

262/3-24578/555-749/185=39/1

Numerator 3.3 fp

1/8+(47/392+8/539)=20/77

Denominator 0.2 fn

8/7+79/84=25/12

Denominator 1.2 fn

-657/74+637/74=-10/37

Denominator 1.3 fn

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

Denominator 2.2 fn

1/2-788/95+17/2=67/95

Denominator 3.2 fn

36/5+(-151/30+79/30)=24/5

4/3×3/8×9/2=9/4

119/11÷1547/33=3/13

7/10×25/4=35/8

3/2×1/3÷3/20=10/3

10/19×627/10×262/99=262/3

Fragment 3.1 fp

10/3×(3/2÷5/2)=2/1

Fragment 3.2 fp

(13/12×219/13)÷73/24=6/1

Reduction 1.3 fp

2750/6650=55/133

Limited 0.1 fp

14/5÷(14/3+7/3)=2/5

Limited 1.2 fp

18/19-18/19÷36/17=1/2

21/4÷(37/8-25/8)=7/2

(-1/3-1/6)÷1/3=-3/2

9/2-1/3×9/2=3/1

-286/9÷550/21+4/5=-31/75

Complete 2.1 fn

12/5÷(-1/3-11/3)=-3/5

Comparisons

Ceil 0.4 in

-438376+764292 > -138143-462878

Ceil 1.4 in

-815196 < 17890

Ceil 2.4 in

-277008-152992 < -246016+935177

Ceil 3.4 in

-668800÷2 > -788012÷2

Point 0.3 dp

79.322÷17 > 93.24÷31.08

Point 0.4 dp

241.937+48.063 < 320.282+452.885

Point 2.4 dp

206+587.489 < 972.414-40.879

Point 3.3 dp

41.94÷3.495 < 62.5×0.64

Point 3.4 dp

73.569÷0.822 > 151.438÷2.8

88.103 > -88.098

11.471 > -11.454

785.82 > -834.927

58.172-31.9 < 85.006-13.298

Doted 2.4 dn

-438.891-258.86 < 405.505+292.242

Doted 3.3 dn

1.4×(-61.2) < -57.116×1.5

Improper 0.3 fp

1/6×524/89 > 4/11÷356/915

Improper 3.3 fp

1/4÷57/104 < 6/13×806/57

Descent 0.1 fn

-1/3÷(-3/5) > -2/5×(-1/2)

Descent 0.2 fn

40/9÷(-60/67) < 5/2×(-12/35)

Descent 1.3 fn

351/838 > -1735/19

Descent 2.2 fn

43/11-290/77 > 19/2-139/14

Descent 3.1 fn

-1/3÷5/9 < 1/2×(-3/5)

Descent 3.2 fn

-6/1÷(-522/71) > 85/12÷(-425/88)

Equations

x÷(-13)=-23

-480+780÷x=-450

-160×(-675+x)=-800

y+x=10

Rounding

Rounding 0.3 dp

48.268+29.768≈78.04

Rounding 3.3 dp

22.036÷11≈2

Language Exercises

Russian Vocabulary 1.5

семант ка

Russian Vocabulary 3.4

талантл вый

English Vocabulary 1.4

ob ective

English Vocabulary 2.4

men ion

Lexicon 1.4

caref l [anxious]

Infinitive 2.2

sow [sow]

14+

Recommended for adolescents from the age of fourteen

Integer Examples

Intellect 0.3 in

-158×54-2160÷80=-8559

Intellect 1.3 in

-930×73+7749=-60141

Intellect 2.3 in

-4070+51842÷23÷49=-4024

Intellect 3.3 in

(3527-3027)×(400-395)=2500

-3520÷8=-440

572÷(-4)=-143

-170÷17÷2=-5

-32×(-25×(-5))=-4000

270÷3×(345÷5)=6210

Decimal Examples

100÷16=6.25

3.456÷15.36=0.225

0.5×0.18=0.09

17.199÷955.5=0.018

0.6×0.06=0.036

194.4÷64.8÷4.8=0.625

3.12÷(15.6×12.5)=0.016

Definition 0.3 dp

43.901+7.429÷40.375=44.085

Definition 0.4 dp

774.02-200÷62.5=770.82

Definition 1.4 dp

526.342-312.5×0.32=426.342

Definition 2.4 dp

216-137.088÷7.168+669.723=866.598

Definition 3.3 dp

20.168+(1.552+2.768)×1.35=26

Definition 3.4 dp

(566.687-566.607)÷(0.532+1.468)=0.04

Negatory 0.3 dn

79.11+0.625×6.528×4.875=99

Negatory 0.4 dn

-1.14÷(-0.586-5.414)÷0.01=19

Negatory 1.4 dn

673.92÷6.5+124.249=227.929

Negatory 2.4 dn

-0.8×1.5+268.8÷4.8=54.8

Negatory 3.3 dn

-72.163-(78.991-85.591)÷1.5=-67.763

Negatory 3.4 dn

(0.503+0.091)×(1+8)=5.346

Residual_ENG 1.3 dp

24÷4=6

Fraction Examples

Denominator 0.3 fn

-2323/312-3205/312=-691/39

Denominator 2.3 fn

-12/895+4670/179-68/895=26/1

Denominator 3.3 fn

103/11+(18/11+20999/301)=24310/301

Fragment 0.3 fp

205/13×78/41=30/1

Fragment 3.3 fp

(43/50÷43/20)×91/9=182/45

Limited 0.2 fp

5/8-19/2÷1292/45=5/17

Limited 1.3 fp

3/11÷1/638-5695/72=6833/72

Limited 2.2 fp

(275/7+145/7)×31/60=31/1

Complete 0.2 fn

19/3÷(-5/9-10/63)=-133/15

Complete 1.3 fn

-3/4×142/99+421/990=-322/495

Complete 2.2 fn

1551/32×(-2/5-18/55)=-141/4

Comparisons

Doted 0.4 dn

-608.316+220 > -290-98.323

Doted 3.4 dn

35×12.288 > 26.496×16

Descent 0.3 fn

160/349+6/349 > 50/1-645/13

Descent 2.3 fn

20363/732-20561/732 < 4/1+71/2

Descent 3.3 fn

-53/72×(-8307/106) > -61/3×(-93/122)

Equations

8x²=800

x²=100

10x²+80x=0

x²+2x-24=0

y×15x=405

y+x=31

6x÷5y=2

7x+10y=107

-2x+6y=40

-y+x=8

40x÷8y=-25

7x-10y=140

Language Exercises

Russian Vocabulary 2.5

якоб

English Vocabulary 1.5

anniv rsary

English Vocabulary 2.5

chara teristic

English Vocabulary 3.4

repr duce

Lexicon 1.5

unempl yment [joblessness]

Lexicon 2.4

hi tory [past]

Infinitive 1.3

test-fly test-fle [test-fly]

Infinitive 3.2

sit [sit]

15+

Recommended for adolescents from the age of fifteen

Integer Examples

-600×20=-12000

-208÷(-26)=8

25×(-2)÷10=-5

-14×(27×10)=-3780

-693120÷(2888÷(-38))÷16=570

Fraction Examples

Limited 0.3 fp

1/2-1/8÷5/4=2/5

Limited 2.3 fp

534/7÷(227/5-1559/35)=89/1

Complete 0.3 fn

-(11/24-73/72)÷5/367=367/9

Complete 2.3 fn

-4375/487×(-1/35-3/70)=625/974

Equations

-75x²-7500x=0

7x²=51772

53x²-2650x=0

4x²+48x+80=0

23y×x=17112

y-x=62

12y×x=72000

30y+18x=3468

y-x=43

-y-x=-10

-13x×26y=38532

12x+68y=-4360

Language Exercises

Russian Vocabulary 3.5

ц линдр

English Vocabulary 3.5

independen e

Lexicon 2.5

c mmitment [obligation]

Infinitive 2.3

behold [behold]

16+

Recommended for adolescents from the age of fifteen

Equations

x²+17x-390=0

231x²=1006236

-912x²+740544x=0

3x²+738x-13413=0

89y+72x=87280

72000y÷20x=9000

20y+13x=22499

143x+733y=-648800

y-x=-205

16y×x=-8000000

61x-13y=-24210

Language Exercises

Infinitive 3.3

find [find]

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