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
2+3=5
Addition #3
1+6=7
Addition #4
1+3=4
Addition #5
3+1=4
Subtraction #1
4-2=2
Subtraction #2
4-1=3
Subtraction #3
3-2=1
Subtraction #4
9-1=8
Subtraction #5
7-2=5
Subtraction #6
8-3=5
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
4+2=6
Addition #7
6+3=9
Addition #8
5+3=8
Addition #9
7+4=11
Addition #10
4+0=4
Addition #11
5+4=9
Addition #12
6+2=8
Addition #13
6+5=11
Addition #14
6+6=12
Addition #15
3+7=10
Addition #16
8+7=15
Addition #17
3+3=6
Addition #18
8+2=10
Addition #19
5+9=14
Addition #20
3+1=4
Addition #21
10+4=14
Addition #22
5+10=15
Subtraction #7
8-4=4
Subtraction #8
10-5=5
Subtraction #9
10-1=9
Subtraction #11
15-4=11
Subtraction #12
14-4=10
Subtraction #13
16-6=10
Subtraction #14
14-7=7
Subtraction #15
13-3=10
Subtraction #16
9-8=1
Subtraction #17
11-8=3
Subtraction #18
13-9=4
Subtraction #19
20-5=15
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
3+5=8
Beginner 1.3 ip
42+14=56
Beginner 2.3 ip
66-11=55
Beginner 3.3 ip
96-46=50
Beginner 4.2 ip
20-13+5=12
Beginner 5.1 ip
9-(10-3)=2
Step-by-step Tasks
Addition #23
10+10=20
Addition #24
1+9=10
Addition #25
9+0=9
Addition #26
22+2=24
Addition #27
13+7=20
Addition #28
4+11=15
Addition #29
10+15=25
Addition #30
16-15=1
Addition #31
15+11=26
Addition #32
14+16=30
Addition #33
7+0=7
Subtraction #22
8-6=2
Subtraction #23
5-1=4
Subtraction #24
18-12=6
Subtraction #26
10-3=7
Subtraction #27
14-4=10
Subtraction #28
7-5=2
Subtraction #29
26-16=10
Subtraction #31
16-7=9
Subtraction #32
19-9=10
Multiplication #1
1×6=6
Multiplication #2
9×2=18
Multiplication #3
2×7=14
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
учебн к
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
1+11=12
Beginner 1.4 ip
238+42=280
Beginner 2.4 ip
775-5=770
Beginner 3.4 ip
990-50=940
Beginner 4.3 ip
0+1+77=78
Beginner 5.2 ip
6+(2+7)=15
Cognizant 1.1 ip
3×0=0
Cognizant 2.1 ip
90÷2=45
Cognizant 3.1 ip
8×7=56
Column 1.1 ip
45+27=72
Column 2.1 ip
72-28=44
Column 3.1 ip
73-51=22
Step-by-step Tasks
Addition #34
29+1=30
Addition #35
16-10=6
Addition #36
8+13=21
Addition #37
19+13=32
Addition #38
50+30=80
Addition #39
14+16=30
Addition #40
7+2+1=10
Subtraction #33
19-18=1
Subtraction #34
20-12=8
Subtraction #36
20-9=11
Subtraction #37
11-7=4
Subtraction #38
39-29=10
Subtraction #39
50-10=40
Multiplication #4
3×1=3
Multiplication #5
10×2=20
Multiplication #6
4×7=28
Multiplication #7
4×7=28
Multiplication #8
10×5=50
Multiplication #9
7×2=14
Multiplication #10
10×5=50
Multiplication #11
10×6=60
Multiplication #12
9×6=54
Multiplication #13
8×7=56
Multiplication #14
9×6=54
Multiplication #15
6×10=60
Multiplication #16
0×8=0
Multiplication #17
8×10=80
Multiplication #18
4×9=36
Multiplication #19
6×3=18
Multiplication #20
10×2=20
Multiplication #21
10×2=20
Division #2
10÷2=5
Division #3
7÷1=7
Division #4
3÷3=1
Division #5
2÷1=2
Division #6
24÷4=6
Division #7
8÷1=8
Division #8
0÷5=0
Division #9
0÷5=0
Division #10
10÷2=5
Division #11
48÷6=8
Division #12
48÷6=8
Division #13
21÷7=3
Division #14
24÷6=4
Division #15
70÷7=10
Division #16
80÷8=10
Division #17
60÷6=10
Division #18
63÷9=7
Division #19
72÷8=9
Division #20
30÷3=10
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
астр навт
Russian Vocabulary 2.1
к пуста
Russian Vocabulary 3.1
наш л
Lexicon 1.1
o e [single]
Lexicon 2.1
pl yer [gambler]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
79-49=30
Beginner 4.4 ip
220+448-18=650
Beginner 5.3 ip
98+(88-86)=100
Cognizant 0.1 ip
6÷2=3
Cognizant 1.2 ip
2×245=490
Cognizant 2.2 ip
568÷8=71
Cognizant 3.2 ip
99÷33=3
Cognizant 4.1 ip
6×3×3=54
Cognizant 5.1 ip
8÷(4÷2)=4
Cognizant 6.1 ip
8÷2×(4÷2)=8
Remainder 1.1 ip
39÷10=3(9)
Column 1.2 ip
5899+1801=7700
Column 2.2 ip
7000-6446=554
Column 3.2 ip
7500+391=7891
Multiplier 1.1 ip
87×9=783
Divisor 1.1 ip
40÷2=20
Numeracy 1.1 ip
55+3×10=85
Numeracy 2.1 ip
48×2-44÷4=85
Divisor_ENG 1.1 ip
64÷4=16
Remainder_ENG 1.1 ip
41÷6=6(5)
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
4×11=44
Multiplication #24
3×17=51
Multiplication #25
15×3=45
Multiplication #26
19×4=76
Multiplication #27
15×5=75
Multiplication #28
12×1=12
Multiplication #29
2×31=62
Multiplication #30
8×5=40
Multiplication #31
6×18=108
Multiplication #32
14×7=98
Multiplication #33
5×6=30
Multiplication #34
17×8=136
Multiplication #35
2×33=66
Multiplication #36
11×9=99
Multiplication #37
6×14=84
Multiplication #38
7×15=105
Multiplication #39
20×8=160
Multiplication #40
7×8=56
Division #22
14÷2=7
Division #23
88÷11=8
Division #24
0÷3=0
Division #25
60÷3=20
Division #26
76÷4=19
Division #27
85÷5=17
Division #28
40÷2=20
Division #29
21÷3=7
Division #30
60÷30=2
Division #31
18÷6=3
Division #32
21÷7=3
Division #33
140÷7=20
Division #34
160÷8=20
Division #35
125÷5=25
Division #36
90÷9=10
Division #37
32÷8=4
Division #38
490÷10=49
Division #39
108÷9=12
Division #40
12÷4=3
Comparisons
Natural 0.2 ip
70 > 2
Natural 1.3 ip
491 > 466
Natural 2.3 ip
978-169 > 283-263
Natural 3.2 ip
8×6 < 100÷2
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-(85+224)=455
Beginner 1.5 ip
82493+27507=110000
Beginner 2.5 ip
965550-473876=491674
Beginner 3.5 ip
174686+125314=300000
Beginner 5.4 ip
343+(116+200)=659
Cognizant 0.2 ip
5×(6×10)=300
Cognizant 1.3 ip
26×27=702
Cognizant 2.3 ip
1026÷6=171
Cognizant 3.3 ip
52×81=4212
Cognizant 4.2 ip
90÷2×9=405
Cognizant 5.2 ip
256÷(8÷2)=64
Cognizant 6.2 ip
800÷2÷(5×8)=10
Remainder 1.2 ip
26÷4=6(2)
Column 1.3 ip
157000+281637=438637
Column 2.3 ip
503251-320000=183251
Column 3.3 ip
335048-259942=75106
Multiplier 1.2 ip
168×7=1176
Multiplier 1.3 ip
2541×86=218526
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
64-4×12=16
Numeracy 1.2 ip
137×3+376=787
Numeracy 2.2 ip
30×13-420÷7=330
Numeracy 3.1 ip
(29-26)×(10+6)=48
Divisor_ENG 1.2 ip
810÷9=90
Remainder_ENG 1.2 ip
132÷7=18(6)
Comparisons
Natural 0.3 ip
744÷8 > 5×3
Natural 1.4 ip
881070 < 934275
Natural 2.4 ip
895326+79974 > 602031-124272
Natural 3.3 ip
528÷6 < 16×10
Equations
Linear 0.1 ip
x-4=6
Linear 1.3 ip
x-507=148
Linear 2.3 ip
44×x=836
Linear 3.2 ip
5×x+40=90
Linear 4.1 ip
5×(9-x)=10
Rounding
Language Exercises
Russian Vocabulary 2.3
микр фон
English Vocabulary 1.2
m ybe
English Vocabulary 2.2
lat st
Lexicon 1.2
s fely [securely]
Lexicon 2.2
l ss [privation]
Infinitive 1.1
outride outridden [outride]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
259242+(953998-698000)=515240
Beginner 4.5 ip
61973+838027-83493=816507
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
-670307-6323=-676630
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
400÷50×1250=10000
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
911÷30=30(11)
Multiplier 1.4 ip
4600×500=2300000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
(810-270)÷(305-302)=180
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
6400-40×55=4200
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
66+(13+19)×2=130
Numeracy 3.3 ip
(8915-4055)÷(84+78)=30
Divisor_ENG 1.3 ip
6000÷20=300
Remainder_ENG 1.3 ip
56÷2=28
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
67.7-6.1-41.9=19.7
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
94.7-8.3=86.4
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
15.2+50+4=69.2
Partitive 3.1 dp
8.9-(2.8+5.1)=1
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
15.4÷7=2.2
Denary 1.1 dp
6×6.6=39.6
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
19÷0.4=47.5
Fraction Examples
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
119800÷100 < 403155÷9
Ceil 0.1 in
6 > -1
Ceil 1.1 in
-2 < 7
Ceil 2.1 in
-2-6 > -4-5
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
10 < 23.4
Point 2.1 dp
42+3 > 80.8-35.9
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
361/37 = 361/37
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
390-x=0
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(15+x)×2=30
Linear 4.3 ip
312÷(x-660)=52
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
48.1≈48
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
9×101≈91
Round 0.2 ip
9002≈90
Round 0.3 ip
147857≈148
Round 1.3 ip
173856≈174
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
659654+74041≈734
Round 3.1 ip
410÷5≈8
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
75209×6≈451
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
исч зать
English Vocabulary 1.3
r bbish
English Vocabulary 2.3
ab ence
English Vocabulary 3.2
alo e
Lexicon 1.3
fo rteenth [count]
Infinitive 2.1
backslide [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-48-(-43-79)=74
Conversant 1.2 in
-19+2=-17
Conversant 1.3 in
20-42=-22
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-36+82+18=64
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
7-(-30+12)=25
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
(19+3)-(3+4)=15
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
505×408=206040
Cognizant 1.4 ip
550×456=250800
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
780000÷240=3250
Cognizant 4.4 ip
32×15×327=156960
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
192500÷(100÷2)÷110=35
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-2×4+27=19
Intellect 2.1 in
7×10+72÷9=78
Intellect 3.1 in
-60+20÷(17-15)=-50
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-7×8=-56
Logics 2.1 in
12÷4×(-2)=-6
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
24×(-4)÷(-2×(-2))=-24
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
Partitive 0.3 dp
40-28.35+35.35=47
Partitive 1.3 dp
11.58+84.27=95.85
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-3-19.1=-22.1
Split 2.1 dn
5.3+5.3-1.6=9
Split 2.2 dn
0.3-88.7+77.4=-11
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
0.51÷3=0.17
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
0.64×20=12.8
Denary 2.2 dp
1.54÷0.56=2.75
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
8.8÷(72÷9)=1.1
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
2×0.4+41.5=42.3
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
-18÷1.8-23=-33
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
46÷10=4.6
Divisional_ENG 1.2 dp
1.28÷4=0.32
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
5/7+169/28=27/4
Numerator 2.1 fp
7/8-3/8-1/2=0/1
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
-1/5+4/5-1/10=1/2
Denominator 3.1 fn
1/6-(-1/2-1/6)=5/6
Fragment 1.1 fp
9/2÷21/4=6/7
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
5/6÷15/2+1/3=4/9
Comparisons
Ceil 0.2 in
-30+60 > -30+40
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
58+42 > -70-664
Ceil 3.2 in
2×8 = -48÷(-3)
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
0.5×8 = 27.2÷6.8
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
65.799 < 77.263
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
-53.9-15.1 < 50.3+12
Doted 0.2 dn
-16.83-80.19 < 47.97-3.33
Doted 1.1 dn
-21.5 < 16
Doted 1.2 dn
13 > -0.47
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
10/3-47/42 > 309/38-241/38
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
1/5÷1/3 = 9/10×2/3
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
-4/7 < -1/2
Descent 1.2 fn
-293/33 < -49/55
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
-15×(-x)=60
Lineal 1.2 in
x+98=44
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
2×x=-94
Lineal 2.3 in
x÷3=-291
Lineal 3.1 in
-10+x×2=10
Lineal 3.2 in
-4+x÷20=0
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
45÷(-83-x)=-15
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
инц дент
Lexicon 2.3
fa rly [quite]
Infinitive 1.2
let let [let]
Infinitive 3.1
lay [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
-207188-449552=-656740
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
521004+(-874424+243978)=-109442
Conversant 4.4 in
(0-479)+(929-218)=232
Conversant 4.5 in
(228929-350682)+(340000+432050)=650297
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
-133-4×9×23=-961
Intellect 1.2 in
503-300÷100=500
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
(-30-11)×(-8-7)=615
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-10×20=-200
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
-900÷3÷(-5×5)=12
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
Partitive 1.4 dp
399.582+9.241=408.823
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
-12-28=-40
Split 0.4 dn
-544.409+274.409=-270
Split 1.3 dn
78.85-64.55=14.3
Split 1.4 dn
161.045-911.045=-750
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
9.6×0.5×12.5=60
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
1.28×3.125=4
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
0.8×0.75÷30=0.02
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
0.022×(62.5×0.032)=0.044
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
2.5÷31.25+11.34=11.42
Definition 1.3 dp
1.6÷12.5+83.242=83.37
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
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
-80÷31.25-23=-25.56
Negatory 1.2 dn
30.4-8.16÷0.4=10
Negatory 1.3 dn
38.042+0.54×52=66.122
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
Residual_ENG 1.2 dp
12÷15=0.8
Divisional_ENG 1.3 dp
9÷3.125=2.88
Fraction Examples
Numerator 0.3 fp
3/11+8403/869=8640/869
Numerator 1.3 fp
3782/351+9647/351=1033/27
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
Denominator 0.2 fn
-15/4+27/8+5/8=1/4
Denominator 1.2 fn
7/3+85/33=54/11
Denominator 1.3 fn
2440/27-15488/729=50392/729
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
2/3×1/4=1/6
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
1/5×408/5=408/25
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
8/9÷1/41-67/9=29/1
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
Complete 1.1 fn
-48/5+1/4÷5/2=-19/2
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
-815196 < 17890
Ceil 2.4 in
-155769-529973 < 78000+610140
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
2.932+11.334 < 95.547-81.263
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
546.477 < 635.778
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
Doted 2.4 dn
48.789+522.414 > -118.102-318.831
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
8/1 < 95/1
Improper 3.3 fp
1/2×180/607 < 633/25÷211/695
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
33461/449 > 23705/449
Descent 2.2 fn
5/1-284/65 > -1/3-1/15
Descent 3.1 fn
1/3×(-2/3) < 3/5×5/9
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
вн запно
English Vocabulary 1.4
pur hase
English Vocabulary 2.4
i pression
Lexicon 1.4
caref l [anxious]
Infinitive 2.2
sowed [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-3528÷49+30×1167=34938
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
(8372+1628)÷(-18-7)=-400
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
-83×80=-6640
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
Residual 1.3 dp
100÷16=6.25
Denary 0.4 dp
102.6÷0.8=128.25
Denary 1.4 dp
8.1×27.2=220.32
Denary 2.4 dp
6.24÷0.6=10.4
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(680÷62.5)×8.925=97.104
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
Definition 3.3 dp
42.754+(53.933-51.133)×1.8=47.794
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
Negatory 0.4 dn
-158.08+3.6×107.8=230
Negatory 1.4 dn
-380.53+405×0.026=-370
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
3.85×(970-967)×0.16=1.848
Residual_ENG 1.3 dp
11÷88=0.125
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
Limited 0.2 fp
3/4×16/57+11/19=15/19
Limited 1.3 fp
54145/724-3/4×2701/543=12861/181
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
100/7-1/3÷7/993=-33/1
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
-343.387÷20.14 < 44.33÷2.6
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
5x2=405
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
x2-8x+12=0
System 0.1 ip
80y÷10x=8
System 1.2 ip
y-x=5
System 2.1 ip
720x÷3y=800
System 3.1 ip
9y+5x=140
Set 0.1 in
3y+6x=-30
Set 1.1 in
y+x=6
Set 2.1 in
2x×13y=390
Set 3.1 in
-10y+4x=-60
Language Exercises
Russian Vocabulary 2.5
впр тык
English Vocabulary 1.5
suffi iently
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
compl te
Lexicon 1.5
desp rately [badly]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
underspend underspent [underspend]
Infinitive 3.2
bend [bend]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-19×26÷(4199÷(-221))=26
Logics 1.4 in
106964÷(-13)=-8228
Logics 2.4 in
20×160÷(-400)=-8
Logics 3.4 in
24×(354×62)=526752
Logics 4.4 in
-100×(10×10)×94=-940000
Fraction Examples
Limited 0.3 fp
62/221×65/496+13/24=59/102
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
Complete 0.3 fn
-85/508-1/2÷2/3=-233/254
Complete 2.3 fn
(-17/38-1/6)×11553/140=-3851/76
Equations
Quadratic 0.2 in
-8x2-8x+48=0
Quadratic 1.2 in
42x2=9450
Quadratic 2.2 in
35x2+2835x=0
Quadratic 3.2 in
x2-56x+559=0
System 0.2 ip
x+y=150
System 1.3 ip
x+y=760
System 2.2 ip
60y÷x=6
System 3.2 ip
20x-45y=880
Set 0.2 in
7x-2y=-234
Set 1.2 in
-y+x=-10
Set 2.2 in
-4x×15y=-53760
Set 3.2 in
-55y+20x=-3270
Language Exercises
Russian Vocabulary 3.5
масл ница
English Vocabulary 3.5
fore gn
Lexicon 2.5
c mmitment [obligation]
Infinitive 2.3
spit [spit]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
-5x2-520x-2475=0
Quadratic 1.3 in
14x2=201600
Quadratic 2.3 in
106x2+52788x=0
Quadratic 3.3 in
4x2-440x-16800=0
System 0.3 ip
132x×6y=506880
System 2.3 ip
10y×3x=614400
System 3.3 ip
88x+92y=165040
Set 0.3 in
x+y=-30
Set 1.3 in
y+x=1691
Set 2.3 in
6x×3y=-8550000
Set 3.3 in
239y-9x=-98470
Language Exercises
Infinitive 3.3
send [send]
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