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.
5+
Recommended for children from five years old
Integer Examples
Step-by-step Tasks
Addition #1
4+1=5
Addition #2
1+1=2
Addition #3
2+5=7
Addition #4
3+0=3
Addition #5
1+9=10
Subtraction #1
2-1=1
Subtraction #2
6-3=3
Subtraction #3
7-1=6
Subtraction #4
1-1=0
Subtraction #5
4-2=2
Subtraction #6
10-3=7
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
7+2=9
Addition #7
9+3=12
Addition #8
3+7=10
Addition #9
4+8=12
Addition #10
3-3=0
Addition #11
5+9=14
Addition #12
4+7=11
Addition #13
6+7=13
Addition #14
3+8=11
Addition #15
7+4=11
Addition #16
3+7=10
Addition #17
2+7=9
Addition #18
8+2=10
Addition #19
9+8=17
Addition #20
2-1=1
Addition #21
10+7=17
Addition #22
5+10=15
Subtraction #7
7-4=3
Subtraction #8
8-5=3
Subtraction #9
10-1=9
Subtraction #11
13-3=10
Subtraction #12
14-4=10
Subtraction #13
13-6=7
Subtraction #14
14-7=7
Subtraction #15
7-2=5
Subtraction #16
14-8=6
Subtraction #17
16-7=9
Subtraction #18
12-9=3
Subtraction #19
20-0=20
Subtraction #21
14-10=4
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
8-(1+6)=1
Beginner 1.3 ip
1+94=95
Beginner 2.3 ip
57-34=23
Beginner 3.3 ip
48-4=44
Beginner 4.2 ip
18-1-5=12
Beginner 5.1 ip
9-(2+6)=1
Step-by-step Tasks
Addition #23
9+2=11
Addition #24
0+0=0
Addition #25
10-10=0
Addition #26
22+4=26
Addition #27
13+7=20
Addition #28
14+4=18
Addition #29
5+10=15
Addition #30
14+16=30
Addition #31
2+25=27
Addition #32
6+12=18
Addition #33
7+9=16
Subtraction #22
15-8=7
Subtraction #23
18-1=17
Subtraction #24
3-2=1
Subtraction #26
10-3=7
Subtraction #27
14-4=10
Subtraction #28
6-5=1
Subtraction #29
18-6=12
Subtraction #31
12-7=5
Subtraction #32
20-20=0
Multiplication #1
1×5=5
Multiplication #2
8×2=16
Multiplication #3
1×1=1
Division #1
3÷1=3
Comparisons
Language Exercises
Russian Vocabulary 1.1
од ванчик
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
19-12=7
Beginner 1.4 ip
221+746=967
Beginner 2.4 ip
916-26=890
Beginner 3.4 ip
665-589=76
Beginner 4.3 ip
96-6-20=70
Beginner 5.2 ip
20-(20-13)=13
Cognizant 1.1 ip
4×10=40
Cognizant 2.1 ip
91÷7=13
Cognizant 3.1 ip
32÷4=8
Column 1.1 ip
56+30=86
Column 2.1 ip
92-14=78
Column 3.1 ip
30-10=20
Step-by-step Tasks
Addition #34
12+8=20
Addition #35
27-22=5
Addition #36
8+13=21
Addition #37
21+19=40
Addition #38
90+10=100
Addition #39
14+16=30
Addition #40
1+2+4=7
Subtraction #33
27-8=19
Subtraction #34
20-12=8
Subtraction #36
16-9=7
Subtraction #37
14-6=8
Subtraction #38
20-0=20
Subtraction #39
100-60=40
Multiplication #4
3×0=0
Multiplication #5
1×6=6
Multiplication #6
4×2=8
Multiplication #7
10×1=10
Multiplication #8
5×0=0
Multiplication #9
7×2=14
Multiplication #10
10×2=20
Multiplication #11
10×6=60
Multiplication #12
9×6=54
Multiplication #13
5×7=35
Multiplication #14
9×6=54
Multiplication #15
8×5=40
Multiplication #16
1×8=8
Multiplication #17
8×10=80
Multiplication #18
9×3=27
Multiplication #19
6×3=18
Multiplication #20
5×4=20
Multiplication #21
10×8=80
Division #2
16÷2=8
Division #3
20÷2=10
Division #4
18÷3=6
Division #5
16÷2=8
Division #6
36÷4=9
Division #7
8÷1=8
Division #8
15÷5=3
Division #9
0÷4=0
Division #10
20÷2=10
Division #11
30÷6=5
Division #12
40÷5=8
Division #13
14÷7=2
Division #14
0÷4=0
Division #15
20÷4=5
Division #16
80÷8=10
Division #17
0÷8=0
Division #18
63÷9=7
Division #19
35÷5=7
Division #20
80÷2=40
Division #21
60÷10=6
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
ул ца
Russian Vocabulary 2.1
учебн к
Russian Vocabulary 3.1
чер з
Lexicon 1.1
ag in [anew]
Lexicon 2.1
pl yer [gambler]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
10+7+44=61
Beginner 4.4 ip
400-284+884=1000
Beginner 5.3 ip
86-(84-28)=30
Cognizant 0.1 ip
8÷2=4
Cognizant 1.2 ip
28×21=588
Cognizant 2.2 ip
316÷4=79
Cognizant 3.2 ip
244÷4=61
Cognizant 4.1 ip
5×2×8=80
Cognizant 5.1 ip
(2×10)÷4=5
Cognizant 6.1 ip
4×(8÷2)÷2=8
Remainder 1.1 ip
59÷10=5(9)
Column 1.2 ip
4320+5659=9979
Column 2.2 ip
4393-1358=3035
Column 3.2 ip
9000+1000=10000
Multiplier 1.1 ip
23×3=69
Divisor 1.1 ip
72÷3=24
Numeracy 1.1 ip
72÷2-16=20
Numeracy 2.1 ip
48×2-44÷4=85
Divisor_ENG 1.1 ip
54÷3=18
Remainder_ENG 1.1 ip
27÷3=9
Step-by-step Tasks
Multiplication #22
2×21=42
Multiplication #23
2×11=22
Multiplication #24
3×11=33
Multiplication #25
20×3=60
Multiplication #26
19×4=76
Multiplication #27
5×18=90
Multiplication #28
12×3=36
Multiplication #29
12×2=24
Multiplication #30
3×20=60
Multiplication #31
19×6=114
Multiplication #32
7×14=98
Multiplication #33
6×15=90
Multiplication #34
8×15=120
Multiplication #35
16×5=80
Multiplication #36
11×9=99
Multiplication #37
19×9=171
Multiplication #38
7×5=35
Multiplication #39
10×14=140
Multiplication #40
2×15=30
Division #22
14÷2=7
Division #23
44÷11=4
Division #24
51÷3=17
Division #25
30÷3=10
Division #26
0÷4=0
Division #27
40÷5=8
Division #28
24÷6=4
Division #29
32÷2=16
Division #30
100÷10=10
Division #31
60÷6=10
Division #32
84÷7=12
Division #33
140÷7=20
Division #34
104÷8=13
Division #35
125÷5=25
Division #36
18÷9=2
Division #37
114÷6=19
Division #38
490÷10=49
Division #39
7÷1=7
Division #40
40÷5=8
Comparisons
Natural 0.2 ip
45÷9 < 60÷6
Natural 1.3 ip
125 < 539
Natural 2.3 ip
272+136 < 645+205
Natural 3.2 ip
50÷5 < 4×13
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
654-11=643
Beginner 1.5 ip
82954+225573=308527
Beginner 2.5 ip
913968-178803=735165
Beginner 3.5 ip
379990+206282=586272
Beginner 5.4 ip
420+(590-60)=950
Cognizant 0.2 ip
5×(6×10)=300
Cognizant 1.3 ip
56×72=4032
Cognizant 2.3 ip
240÷12=20
Cognizant 3.3 ip
8408÷8=1051
Cognizant 4.2 ip
40×5÷8=25
Cognizant 5.2 ip
(69÷3)÷23=1
Cognizant 6.2 ip
8×4×(2×10)=640
Remainder 1.2 ip
136÷18=7(10)
Column 1.3 ip
228155+440000=668155
Column 2.3 ip
820119-816514=3605
Column 3.3 ip
335048-259942=75106
Multiplier 1.2 ip
9047×2=18094
Multiplier 1.3 ip
2541×86=218526
Divisor 1.2 ip
642÷6=107
Numeracy 0.1 ip
64-4×12=16
Numeracy 1.2 ip
538+13×18=772
Numeracy 2.2 ip
274-46×2÷23=270
Numeracy 3.1 ip
(37+23)÷(58-48)=6
Divisor_ENG 1.2 ip
532÷2=266
Remainder_ENG 1.2 ip
124÷18=6(16)
Comparisons
Natural 0.3 ip
920÷10 < 12×8
Natural 1.4 ip
369715 > 191998
Natural 2.4 ip
556069-472685 < 282987+529037
Natural 3.3 ip
1000÷20 < 813÷3
Equations
Linear 0.1 ip
3+1×x=8
Linear 1.3 ip
x+136=763
Linear 2.3 ip
864÷x=36
Linear 3.2 ip
x÷47+57=59
Linear 4.1 ip
9÷(x+1)=3
Rounding
Language Exercises
Russian Vocabulary 2.3
оз рничать
English Vocabulary 1.2
b droom
Lexicon 1.2
ph ne [call]
Lexicon 2.2
Wedn sday [day of the week]
Infinitive 1.1
overrun overran [overrun]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
452220-(652958-560738)=360000
Beginner 4.5 ip
830000-419071+290692=701621
Beginner 5.5 ip
414616+(231968+265750)=912334
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
-170136-29800=-199936
Conversant 2.1 in
-10+4-4=-10
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
4680÷78×24=1440
Cognizant 5.3 ip
(100×18)÷24=75
Cognizant 6.3 ip
51×17×(10÷2)=4335
Remainder 1.3 ip
370÷6=61(4)
Multiplier 1.4 ip
8118×869=7054542
Divisor 1.3 ip
3311÷11=301
Numeracy 0.2 ip
(810-270)÷(305-302)=180
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
250+560÷14+1663=1953
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
5200÷16=325
Remainder_ENG 1.3 ip
238÷24=9(22)
Decimal Examples
Partitive 0.1 dp
0+(4.7+0.8)=5.5
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
0.9+71.2=72.1
Partitive 2.1 dp
2.5+6+0.1=8.6
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
2.2+(2+1.3)=5.5
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
97.2÷1.5=64.8
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
15.4÷7=2.2
Fraction Examples
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
Natural 0.4 ip
916868 < 966303
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
7 < 10
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
8÷4 < 8÷2
Point 1.1 dp
32 < 78.2
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
1/10 < 2/3
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
x×90=630
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
x-10=-4
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
97+168≈27
Round 0.2 ip
304+2279≈26
Round 0.3 ip
727×1288≈936
Round 1.3 ip
674799≈675
Round 2.2 ip
6143-1716≈44
Round 2.3 ip
659654+74041≈734
Round 3.1 ip
5×25≈13
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
interes
English Vocabulary 2.3
str ggle
English Vocabulary 3.2
cl an
Lexicon 1.3
loca ion [place]
Infinitive 2.1
smote [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
12+(8-4)=16
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
-20+3=-17
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
0-(-2-16)=18
Conversant 3.3 in
-7-(38+22)=-67
Conversant 4.1 in
(0+7)-(6-0)=1
Conversant 4.2 in
-(9-19)-(11+5)=-6
Conversant 4.3 in
(30+84)+(64-97)=81
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
71×21×615=916965
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
66÷2×(740×22)=537240
Multiplier 1.5 ip
43000×1131=48633000
Divisor 1.4 ip
37200÷10=3720
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
22÷(-2)×9=-99
Logics 1.1 in
5×2=10
Logics 2.1 in
4×2×8=64
Logics 3.1 in
90÷(45÷(-9))=-18
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
81.69-52.51=29.18
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
6.3-4.4=1.9
Split 1.2 dn
-3-19.1=-22.1
Split 2.1 dn
9.3-7.6+7.8=9.5
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
0.8+(1-9.7)=-7.9
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
2.2×1.05=2.31
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
82.8÷23÷4.5=0.8
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
Definition 1.1 dp
46.6-2.5×4=36.6
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
6×1.8+1.4=12.2
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
Numerator 0.1 fp
8/9-1/9-1/3=4/9
Numerator 0.2 fp
189/29-182/29=7/29
Numerator 1.2 fp
1/11+53/22=5/2
Numerator 2.1 fp
7/9-4/9+1/2=5/6
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
4/9-(1/6+1/6)=1/9
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-1/8-3/4=-7/8
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
126/45=14/5
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
Ceil 0.2 in
15÷(-5) > -40÷10
Ceil 0.3 in
-833+766 < 5+55
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
-45-5 < -40-9
Ceil 2.3 in
24+386 < 138+529
Ceil 3.2 in
-11×8 < 96÷(-2)
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
0.92+26.19 < 3.81+80.64
Point 1.2 dp
50 > 42.67
Point 1.3 dp
44.273 < 99.665
Point 1.4 dp
879.642 < 950.264
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
87.041-0.599 > 0.046+0.028
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
Point 3.2 dp
28×1.8 > 18.36÷2
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-77.16 < 89
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
87.32 > 87.31
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
-4×(-0.8) > 90.6÷(-3)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
Improper 3.1 fp
2/3×1/2 < 2/9÷1/3
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
-2/7 < 2/7
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
-15×(-x)=60
Lineal 1.2 in
35+x=75
Lineal 1.3 in
-x-793=-463
Lineal 2.2 in
-x÷5=4
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
10÷x+8=9
Lineal 3.2 in
-1+x×8=-1
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
20×(78+x)=0
Rounding
Rounding 0.1 dp
10.4×3≈31
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
58.34≈58.3
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
37.17+22.84≈60
Rounding 2.3 dp
13.293+4.325≈17.62
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
98.2÷25.56≈3.8
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
massi e
Lexicon 2.3
some ne [person]
Infinitive 1.2
let let [let]
Infinitive 3.1
see [see]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
617+(-943+646)=320
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
662-617=45
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
-511-(510-659)=-362
Conversant 3.5 in
583000-(856644-390000)=116356
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
(228929-350682)+(340000+432050)=650297
Divisor 1.5 ip
2626293÷373=7041
Intellect 0.2 in
(730-880)÷(-6-9)=10
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
(976-64)÷(104-96)=114
Logics 0.2 in
760÷40=19
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
Partitive 0.4 dp
18-18=0
Partitive 1.4 dp
258.189+361.811=620
Partitive 2.4 dp
399.054-63.768+347.714=683
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
581.172-141.613=439.559
Split 2.3 dn
84.22-90-39.26=-45.04
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
-103.502+(-187.812+303.314)=12
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
0.013÷0.04=0.325
Denary 0.2 dp
7.2÷15=0.48
Denary 0.3 dp
70.56÷49=1.44
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
50.388÷4=12.597
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
0.8×0.5×24.3=9.72
Denary 4.3 dp
66×0.176÷0.704=16.5
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
Definition 0.2 dp
79.23-31.25×0.64=59.23
Definition 1.2 dp
36.48÷3-5.06=7.1
Definition 1.3 dp
39.788-4.68÷2.08=37.538
Definition 2.2 dp
5.6×0.5-1.2÷1.5=2
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
Negatory 0.1 dn
11+28.5×1.2+2.8=48
Negatory 0.2 dn
-21.28+41.6÷1.25=12
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
20+10×0.033+41.27=61.6
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
Negatory 3.2 dn
1.32÷(29.16-33.16)×14=-4.62
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
Denominator 1.2 fn
14/5-143/60=5/12
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
57920/880=724/11
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
8/9÷1/41-67/9=29/1
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
5/2÷15/8+8/9=20/9
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
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
-5×(-4) > 875112÷(-8)
Ceil 1.4 in
98995 > -943987
Ceil 2.4 in
-910920+128402 < -370576+776268
Ceil 3.4 in
-2×8 > 168000÷(-4)
Point 0.3 dp
80.032 > 9.426
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
280.564+165.62 = 730-283.816
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
Point 3.4 dp
3.36×6.75 < 102.4×3.125
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
707 > 650
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
Improper 0.3 fp
544/891+55534/891 > 725/18-2777/126
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
53437/604 > -13406/151
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
наскво ь
Russian Vocabulary 3.4
с туация
English Vocabulary 1.4
est blish
English Vocabulary 2.4
men ion
Lexicon 1.4
basi [main]
Infinitive 2.2
shoe [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
572÷(-4)=-143
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
1260÷(5×(-7))=-36
Logics 4.3 in
3672÷(-2)÷(-17×(-4))=-27
Decimal Examples
Residual 1.3 dp
7÷56=0.125
Denary 0.4 dp
9.576×2.5×0.85=20.349
Denary 1.4 dp
27.625×32=884
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
237.6×2÷600=0.792
Denary 5.4 dp
(4×0.011)÷2=0.022
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
(208.3-205.175)×(96.287+36.769)=415.8
Definition 1.4 dp
867.991-24÷15.625=866.455
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
Definition 3.4 dp
800.436-(39.298+325.202)÷7.29=750.436
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
Negatory 0.4 dn
-876.24-(1.227+11.773)×9.52=-1000
Negatory 1.4 dn
2.7×17.55-15.385=32
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
58÷100=0.58
Fraction Examples
Denominator 0.3 fn
-23984/369-(-28/41-23486/369)=-2/3
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
(1/2+2/3)×116/3=406/9
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
-1110/47÷(-3774/109) < -75/1×(-1063/825)
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
6x2=216
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
x2+9x+14=0
System 0.1 ip
8x-4y=16
System 1.2 ip
x+y=180
System 2.1 ip
6x÷5y=2
System 3.1 ip
10y+2x=88
Set 0.1 in
3y+6x=-30
Set 1.1 in
y+x=-3
Set 2.1 in
-20y÷5x=1
Set 3.1 in
-5y+5x=0
Language Exercises
English Vocabulary 1.5
del berately
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
ei hteenth
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
withdraw withdrew [withdraw]
Infinitive 3.2
beseech [beseech]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
7992÷(-296)×490=-13230
Logics 1.4 in
-3960÷88=-45
Logics 2.4 in
-10000÷(-20)÷10=50
Logics 3.4 in
-25×(128×(-250))=800000
Logics 4.4 in
21×(-9120÷(-228))×(-316)=-265440
Fraction Examples
Limited 0.3 fp
8/19÷16/855+12935/466=11710/233
Limited 2.3 fp
159/11÷(5/7-3/7)=1113/22
Complete 0.3 fn
295/182×(3/5-283/5)=-1180/13
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
Quadratic 0.2 in
-2x2+26x+280=0
Quadratic 1.2 in
42x2=9450
Quadratic 2.2 in
-29x2+1740x=0
Quadratic 3.2 in
x2+95x+450=0
System 0.2 ip
6x×5y=65610
System 1.3 ip
y-x=589
System 2.2 ip
y×9x=45000
System 3.2 ip
40y+63x=7137
Set 0.2 in
-x-y=79
Set 1.2 in
y+x=179
Set 2.2 in
-4x×15y=-53760
Set 3.2 in
-33x-5y=-2830
Language Exercises
Russian Vocabulary 3.5
надв е
English Vocabulary 3.5
c pacity
Lexicon 2.5
s bstitute [replacement]
Infinitive 2.3
beset [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
977x2+306778x=0
Quadratic 1.3 in
14x2=201600
Quadratic 2.3 in
-370x2-335590x=0
Quadratic 3.3 in
3x2+288x+6045=0
System 0.3 ip
40y-40x=24440
System 2.3 ip
72000y÷20x=9000
System 3.3 ip
150x+131y=145362
Set 0.3 in
-x-y=236
Set 1.3 in
-y-x=-72
Set 2.3 in
-792x÷33y=-842
Set 3.3 in
821y+122x=-644484
Language Exercises
Infinitive 3.3
sightread [sight-read]
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