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
3+1=4
Addition #2
2+3=5
Addition #3
5+2=7
Addition #4
0+1=1
Addition #5
7+1=8
Subtraction #1
3-2=1
Subtraction #2
4-1=3
Subtraction #3
7-1=6
Subtraction #4
4-1=3
Subtraction #5
8-2=6
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
7+2=9
Addition #7
3+2=5
Addition #8
1+0=1
Addition #9
4+5=9
Addition #10
6+0=6
Addition #11
7+5=12
Addition #12
5+3=8
Addition #13
7+6=13
Addition #14
3+9=12
Addition #15
5+7=12
Addition #16
7+8=15
Addition #17
4+6=10
Addition #18
4+8=12
Addition #19
9+8=17
Addition #20
6-2=4
Addition #21
10+9=19
Addition #22
6+8=14
Subtraction #7
10-4=6
Subtraction #8
10-5=5
Subtraction #9
10-2=8
Subtraction #11
15-4=11
Subtraction #12
5-2=3
Subtraction #13
7-6=1
Subtraction #14
15-7=8
Subtraction #15
7-2=5
Subtraction #16
14-8=6
Subtraction #17
11-5=6
Subtraction #18
13-9=4
Subtraction #19
5-0=5
Subtraction #21
14-10=4
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
7-3=4
Beginner 1.3 ip
40+15=55
Beginner 2.3 ip
100-55=45
Beginner 3.3 ip
58-35=23
Beginner 4.2 ip
0+8+2=10
Beginner 5.1 ip
10-(3+4)=3
Step-by-step Tasks
Addition #23
13+5=18
Addition #24
5+5=10
Addition #25
11-10=1
Addition #26
22+4=26
Addition #27
23+11=34
Addition #28
4+11=15
Addition #29
0+20=20
Addition #30
18-15=3
Addition #31
0+25=25
Addition #32
14+16=30
Addition #33
27+3=30
Subtraction #22
17-6=11
Subtraction #23
18-1=17
Subtraction #24
14-2=12
Subtraction #26
10-3=7
Subtraction #27
19-14=5
Subtraction #28
8-5=3
Subtraction #29
19-16=3
Subtraction #31
12-7=5
Subtraction #32
16-6=10
Multiplication #1
1×2=2
Multiplication #2
2×10=20
Multiplication #3
1×1=1
Division #1
7÷1=7
Comparisons
Language Exercises
Russian Vocabulary 1.1
г рох
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
11+(8-6)=13
Beginner 1.4 ip
283+511=794
Beginner 2.4 ip
797-67=730
Beginner 3.4 ip
990-50=940
Beginner 4.3 ip
7+4-1=10
Beginner 5.2 ip
10-(12-3)=1
Cognizant 1.1 ip
27×2=54
Cognizant 2.1 ip
70÷5=14
Cognizant 3.1 ip
7×5=35
Column 1.1 ip
72+17=89
Column 2.1 ip
79-31=48
Column 3.1 ip
30-10=20
Step-by-step Tasks
Addition #34
26+14=40
Addition #35
29+6=35
Addition #36
18+0=18
Addition #37
19+12=31
Addition #38
40+50=90
Addition #39
4+16=20
Addition #40
1+2+4=7
Subtraction #33
19-18=1
Subtraction #34
30-20=10
Subtraction #36
16-9=7
Subtraction #37
11-7=4
Subtraction #38
37-17=20
Subtraction #39
60-30=30
Multiplication #4
3×1=3
Multiplication #5
2×1=2
Multiplication #6
4×10=40
Multiplication #7
10×3=30
Multiplication #8
10×5=50
Multiplication #9
7×5=35
Multiplication #10
10×5=50
Multiplication #11
6×2=12
Multiplication #12
8×6=48
Multiplication #13
7×9=63
Multiplication #14
5×8=40
Multiplication #15
8×5=40
Multiplication #16
0×8=0
Multiplication #17
8×7=56
Multiplication #18
9×4=36
Multiplication #19
6×6=36
Multiplication #20
10×2=20
Multiplication #21
9×10=90
Division #2
10÷2=5
Division #3
16÷2=8
Division #4
6÷3=2
Division #5
18÷2=9
Division #6
40÷4=10
Division #7
3÷1=3
Division #8
30÷5=6
Division #9
27÷3=9
Division #10
5÷1=5
Division #11
42÷6=7
Division #12
48÷6=8
Division #13
21÷7=3
Division #14
70÷7=10
Division #15
20÷4=5
Division #16
80÷8=10
Division #17
60÷6=10
Division #18
72÷9=8
Division #19
80÷8=10
Division #20
90÷9=10
Division #21
10÷10=1
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
г тара
Russian Vocabulary 2.1
чу ть
Russian Vocabulary 3.1
л песток
English Vocabulary 2.1
lmost
Lexicon 1.1
nto [in]
Lexicon 2.1
h ng [weigh]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
93-20=73
Beginner 4.4 ip
979-19-336=624
Beginner 5.3 ip
8+(21+71)=100
Cognizant 0.1 ip
8÷2=4
Cognizant 1.2 ip
3×26=78
Cognizant 2.2 ip
316÷4=79
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
30÷6×10=50
Cognizant 5.1 ip
(6×15)÷10=9
Cognizant 6.1 ip
9×(6÷3)×2=36
Remainder 1.1 ip
26÷3=8(2)
Column 1.2 ip
2600+1978=4578
Column 2.2 ip
2000-864=1136
Column 3.2 ip
7616-4368=3248
Multiplier 1.1 ip
30×3=90
Divisor 1.1 ip
44÷2=22
Numeracy 1.1 ip
46×3-90=48
Numeracy 2.1 ip
8+92÷2÷2=31
Divisor_ENG 1.1 ip
99÷3=33
Remainder_ENG 1.1 ip
45÷10=4(5)
Step-by-step Tasks
Multiplication #22
12×2=24
Multiplication #23
11×2=22
Multiplication #24
3×13=39
Multiplication #25
2×15=30
Multiplication #26
17×4=68
Multiplication #27
5×18=90
Multiplication #28
4×9=36
Multiplication #29
5×16=80
Multiplication #30
20×1=20
Multiplication #31
6×16=96
Multiplication #32
10×7=70
Multiplication #33
5×6=30
Multiplication #34
8×16=128
Multiplication #35
18×3=54
Multiplication #36
20×9=180
Multiplication #37
15×7=105
Multiplication #38
7×15=105
Multiplication #39
20×19=380
Multiplication #40
6×12=72
Division #22
24÷2=12
Division #23
99÷11=9
Division #24
51÷3=17
Division #25
2÷2=1
Division #26
56÷4=14
Division #27
45÷5=9
Division #28
16÷2=8
Division #29
48÷4=12
Division #30
100÷50=2
Division #31
42÷6=7
Division #32
21÷7=3
Division #33
66÷6=11
Division #34
88÷8=11
Division #35
125÷5=25
Division #36
108÷9=12
Division #37
35÷7=5
Division #38
90÷10=9
Division #39
17÷1=17
Division #40
63÷9=7
Comparisons
Natural 0.2 ip
70 > 55
Natural 1.3 ip
458 < 910
Natural 2.3 ip
744-348 > 809-426
Natural 3.2 ip
4×4 < 11×4
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
570-23+355=902
Beginner 1.5 ip
108027+666122=774149
Beginner 2.5 ip
688969-34501=654468
Beginner 3.5 ip
949282-152711=796571
Beginner 5.4 ip
431-(247-156)=340
Cognizant 0.2 ip
21×38=798
Cognizant 1.3 ip
4×68=272
Cognizant 2.3 ip
6888÷3=2296
Cognizant 3.3 ip
17×91=1547
Cognizant 4.2 ip
400÷4÷2=50
Cognizant 5.2 ip
270÷(3×2)=45
Cognizant 6.2 ip
810÷(3×3)÷10=9
Remainder 1.2 ip
60÷5=12
Column 1.3 ip
281269+628731=910000
Column 2.3 ip
820119-816514=3605
Column 3.3 ip
160633+200447=361080
Multiplier 1.2 ip
7925×4=31700
Multiplier 1.3 ip
1397×50=69850
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
64-4×12=16
Numeracy 1.2 ip
840÷15+312=368
Numeracy 2.2 ip
292+202×2-620=76
Numeracy 3.1 ip
21+(42-14)÷7=25
Divisor_ENG 1.2 ip
785÷5=157
Remainder_ENG 1.2 ip
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
Linear 0.1 ip
7×x=7
Linear 1.3 ip
x+136=763
Linear 2.3 ip
41×x=410
Linear 3.2 ip
80÷x+6=8
Linear 4.1 ip
2×(1+x)=10
Rounding
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
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
8900÷100=89
Cognizant 4.3 ip
1320÷20÷2=33
Cognizant 5.3 ip
(50÷10)×500=2500
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
271÷87=3(10)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7505÷79=95
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
297+(747-702)÷15=300
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
Partitive 0.1 dp
2.5+8-3=7.5
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
91.9-40-49.9=2
Partitive 3.1 dp
1.2+(0.9+5)=7.1
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
0.6×60=36
Denary 2.1 dp
97.2÷1.5=64.8
Denary 3.1 dp
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
Natural 3.4 ip
2691×86 > 2×1274
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
10-5 > 10-9
Ceil 3.1 in
-2×4 < 6÷2
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
23/14 < 54/7
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
48÷x-1=1
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(15+x)×2=30
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
x÷3=3
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
2.8+54.2≈57
Round 0.1 ip
9×101≈91
Round 0.2 ip
4×2234≈89
Round 0.3 ip
727×1288≈936
Round 1.3 ip
425693≈426
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
3×193≈58
Round 3.2 ip
5770÷10≈6
Round 3.3 ip
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
Conversant 0.1 in
2-9=-7
Conversant 0.2 in
3-20+0=-17
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
-52-(-74-18)=40
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
-(9-19)-(11+5)=-6
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
430000÷200=2150
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
583200÷72÷4=2025
Cognizant 5.4 ip
24000÷(48÷3)=1500
Cognizant 6.4 ip
744192÷64÷(19×34)=18
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
73-6×22=-59
Intellect 2.1 in
23+24÷4+41=70
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-66÷(-36÷6)×5=55
Logics 1.1 in
5×2=10
Logics 2.1 in
10×(-3)×(-3)=90
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
-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
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
Split 0.2 dn
2.5-(-61.3-32)=95.8
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
-16.6+94.5=77.9
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
0.3-88.7+77.4=-11
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
2.86÷0.13=22
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
Denary 1.2 dp
82×0.01=0.82
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
8×0.27=2.16
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
Definition 0.1 dp
30.4-4÷0.5=22.4
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
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
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
1/4+1/4+1/4=3/4
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
-1/2-1/5=-7/10
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
Fragment 1.1 fp
2/5×5/8=1/4
Fragment 1.2 fp
33/2÷99/26=13/3
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
72/81=8/9
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
43 > 16
Ceil 1.3 in
450 > -610
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
Ceil 3.3 in
-84×(-9) > 150×3
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
79.92 > 79.9
Point 1.3 dp
93.309 > 44
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
70.62-25.85 = 26.99+17.78
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
20.3÷2.9 < 94.5÷5
Point 3.2 dp
28×1.8 > 18.36÷2
Doted 0.1 dn
15.2+3.5 > -18-10.2
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
-1.5+100 > 62.2+3.8
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
Doted 3.1 dn
1.5×16.8 > -2.5×(-8)
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
Improper 0.2 fp
12/83 < 27/11
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
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
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
-97+x=-37
Lineal 1.3 in
53+x=-400
Lineal 2.2 in
x÷15=1
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
17.03≈17
Rounding 1.3 dp
42.109≈42.11
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
15.449+57.622≈73.07
Rounding 3.1 dp
21.7÷37.3≈1
Rounding 3.2 dp
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
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
10×2+312=332
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
326-(-37-39)÷4=345
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
-10×20=-200
Logics 2.2 in
5×(-10)÷2=-25
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
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
Residual 1.2 dp
32÷20=1.6
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
0.5×16=8
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
25.6×0.625=16
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
90.68-1.6×12.5=70.68
Definition 1.3 dp
54×1.76-67.04=28
Definition 2.2 dp
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
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
24+18.75×0.32=30
Negatory 1.3 dn
-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
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
6/7÷4/35×1/10=3/4
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
51/2÷85/6+443/40=103/8
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
-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
Rounding
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
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
3×(36×(-40))=-4320
Logics 4.3 in
77×(-25)×(-45÷(-15))=-5775
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
167.552÷152.32=1.1
Denary 1.4 dp
50.625×0.384=19.44
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
28.56÷10÷6.8=0.42
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
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
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
2x2+14x=0
Quadratic 3.1 in
-x2+6x-5=0
System 0.1 ip
8y-3x=50
System 1.2 ip
y+x=199
System 2.1 ip
7y×x=280
System 3.1 ip
x+4y=38
Set 0.1 in
-3y×12x=-324
Set 1.1 in
-x-y=4
Set 2.1 in
2x×13y=390
Set 3.1 in
-5x-5y=-5
Language Exercises
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
Logics 0.4 in
10×(-100)=-1000
Logics 1.4 in
-208÷(-26)=8
Logics 2.4 in
-63×(-159)×41=410697
Logics 3.4 in
24×(354×62)=526752
Logics 4.4 in
-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
Quadratic 0.2 in
28x2-1120x=0
Quadratic 1.2 in
30x2=60750
Quadratic 2.2 in
-72x2-5760x=0
Quadratic 3.2 in
2x2+34x-540=0
System 0.2 ip
x+y=100
System 1.3 ip
y+x=1296
System 2.2 ip
5x÷y=5
System 3.2 ip
60x-20y=60
Set 0.2 in
-y-x=-4
Set 1.2 in
y+x=51
Set 2.2 in
29568y÷77x=-4480
Set 3.2 in
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
Quadratic 0.3 in
678x2=43392
Quadratic 1.3 in
812x2=6005552
Quadratic 2.3 in
276x2+2760x=0
Quadratic 3.3 in
3x2+288x+6045=0
System 0.3 ip
89y+72x=87280
System 2.3 ip
38x×2y=2708640
System 3.3 ip
20y+13x=22499
Set 0.3 in
18480y÷88x=525
Set 1.3 in
-y+x=590
Set 2.3 in
16y×x=-8000000
Set 3.3 in
-32y-4x=27116
Language Exercises
Infinitive 3.3
refit [refit]
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