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
1+4=5
Addition #3
1+6=7
Addition #4
1+3=4
Addition #5
3+1=4
Subtraction #1
4-2=2
Subtraction #2
6-2=4
Subtraction #3
6-1=5
Subtraction #4
2-1=1
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
5+2=7
Addition #7
9+3=12
Addition #8
1+0=1
Addition #9
4+5=9
Addition #10
7-5=2
Addition #11
7+5=12
Addition #12
6+2=8
Addition #13
2+6=8
Addition #14
4+5=9
Addition #15
2+7=9
Addition #16
2+3=5
Addition #17
3+6=9
Addition #18
5+8=13
Addition #19
6+9=15
Addition #20
2-1=1
Addition #21
10+9=19
Addition #22
8+10=18
Subtraction #7
9-4=5
Subtraction #8
9-5=4
Subtraction #9
9-2=7
Subtraction #11
13-2=11
Subtraction #12
14-4=10
Subtraction #13
15-6=9
Subtraction #14
11-7=4
Subtraction #15
7-2=5
Subtraction #16
15-8=7
Subtraction #17
8-8=0
Subtraction #18
13-9=4
Subtraction #19
15-10=5
Subtraction #21
12-10=2
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
8-(1+6)=1
Beginner 1.3 ip
35+62=97
Beginner 2.3 ip
46-36=10
Beginner 3.3 ip
78+22=100
Beginner 4.2 ip
18-1-5=12
Beginner 5.1 ip
5+(4+1)=10
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
1+9=10
Addition #25
11-7=4
Addition #26
22+4=26
Addition #27
3+10=13
Addition #28
14+4=18
Addition #29
5+10=15
Addition #30
18-15=3
Addition #31
5+25=30
Addition #32
19+6=25
Addition #33
7+9=16
Subtraction #22
14-9=5
Subtraction #23
5-1=4
Subtraction #24
17-2=15
Subtraction #26
23-13=10
Subtraction #27
17-4=13
Subtraction #28
16-15=1
Subtraction #29
26-16=10
Subtraction #31
19-7=12
Subtraction #32
8-8=0
Multiplication #1
1×6=6
Multiplication #2
1×2=2
Multiplication #3
2×7=14
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
к стрюля
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
4+11=15
Beginner 1.4 ip
87+434=521
Beginner 2.4 ip
803-143=660
Beginner 3.4 ip
256+16=272
Beginner 4.3 ip
80+19+1=100
Beginner 5.2 ip
20-(20-13)=13
Cognizant 1.1 ip
10×7=70
Cognizant 2.1 ip
96÷2=48
Cognizant 3.1 ip
8×4=32
Column 1.1 ip
18+72=90
Column 2.1 ip
72-28=44
Column 3.1 ip
20+60=80
Step-by-step Tasks
Addition #34
24+6=30
Addition #35
1+2=3
Addition #36
8+3=11
Addition #37
19+12=31
Addition #38
50+30=80
Addition #39
10+25=35
Addition #40
7+0+10=17
Subtraction #33
19-18=1
Subtraction #34
23-13=10
Subtraction #36
16-9=7
Subtraction #37
6-5=1
Subtraction #38
39-9=30
Subtraction #39
100-70=30
Multiplication #4
3×9=27
Multiplication #5
2×0=0
Multiplication #6
6×4=24
Multiplication #7
9×3=27
Multiplication #8
10×5=50
Multiplication #9
3×3=9
Multiplication #10
2×10=20
Multiplication #11
2×6=12
Multiplication #12
4×3=12
Multiplication #13
3×7=21
Multiplication #14
1×6=6
Multiplication #15
4×10=40
Multiplication #16
8×6=48
Multiplication #17
5×0=0
Multiplication #18
9×1=9
Multiplication #19
6×6=36
Multiplication #20
5×4=20
Multiplication #21
10×8=80
Division #2
2÷2=1
Division #3
20÷2=10
Division #4
21÷3=7
Division #5
6÷3=2
Division #6
0÷4=0
Division #7
4÷2=2
Division #8
5÷5=1
Division #9
18÷2=9
Division #10
10÷2=5
Division #11
12÷6=2
Division #12
10÷5=2
Division #13
14÷7=2
Division #14
54÷6=9
Division #15
5÷1=5
Division #16
0÷8=0
Division #17
0÷3=0
Division #18
36÷9=4
Division #19
5÷5=1
Division #20
90÷9=10
Division #21
0÷10=0
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
з бавы
Russian Vocabulary 2.1
лфавит
Lexicon 1.1
s ve [keep]
Lexicon 2.1
rm [hand]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
100-35=65
Beginner 4.4 ip
400-284+884=1000
Beginner 5.3 ip
76-(4+40)=32
Cognizant 0.1 ip
6÷2=3
Cognizant 1.2 ip
7×4=28
Cognizant 2.2 ip
504÷2=252
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
8×5÷4=10
Cognizant 5.1 ip
(6×15)÷10=9
Cognizant 6.1 ip
24÷(4÷2)÷4=3
Remainder 1.1 ip
15÷3=5
Column 1.2 ip
1177+7228=8405
Column 2.2 ip
5356-4837=519
Column 3.2 ip
2908+7092=10000
Multiplier 1.1 ip
70×9=630
Divisor 1.1 ip
72÷3=24
Numeracy 1.1 ip
47+9÷3=50
Numeracy 2.1 ip
8+92÷2÷2=31
Divisor_ENG 1.1 ip
54÷3=18
Remainder_ENG 1.1 ip
20÷7=2(6)
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
11×8=88
Multiplication #24
3×11=33
Multiplication #25
15×3=45
Multiplication #26
12×4=48
Multiplication #27
17×5=85
Multiplication #28
12×3=36
Multiplication #29
20×5=100
Multiplication #30
3×20=60
Multiplication #31
6×20=120
Multiplication #32
14×7=98
Multiplication #33
7×15=105
Multiplication #34
8×15=120
Multiplication #35
2×33=66
Multiplication #36
20×9=180
Multiplication #37
24×5=120
Multiplication #38
10×16=160
Multiplication #39
10×14=140
Multiplication #40
19×8=152
Division #22
8÷2=4
Division #23
55÷11=5
Division #24
54÷3=18
Division #25
26÷2=13
Division #26
60÷4=15
Division #27
40÷5=8
Division #28
24÷2=12
Division #29
54÷3=18
Division #30
0÷20=0
Division #31
42÷6=7
Division #32
119÷7=17
Division #33
4÷4=1
Division #34
88÷8=11
Division #35
15÷5=3
Division #36
45÷9=5
Division #37
32÷8=4
Division #38
480÷10=48
Division #39
27÷3=9
Division #40
77÷11=7
Comparisons
Natural 0.2 ip
45÷9 < 60÷6
Natural 1.3 ip
852 > 850
Natural 2.3 ip
383+186 > 100+270
Natural 3.2 ip
2×2 < 12÷2
Equations
Language Exercises
Russian Vocabulary 1.3
вет ран
Russian Vocabulary 2.2
акк ратный
Russian Vocabulary 3.2
м лина
English Vocabulary 3.1
pla e
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
465+505=970
Beginner 1.5 ip
82954+225573=308527
Beginner 2.5 ip
952724-492724=460000
Beginner 3.5 ip
379990+206282=586272
Beginner 5.4 ip
746-(401+40)=305
Cognizant 0.2 ip
19×(8÷2)×8=608
Cognizant 1.3 ip
4×68=272
Cognizant 2.3 ip
6888÷3=2296
Cognizant 3.3 ip
52×81=4212
Cognizant 4.2 ip
18×9×2=324
Cognizant 5.2 ip
(4×25)÷20=5
Cognizant 6.2 ip
450÷5×(16÷4)=360
Remainder 1.2 ip
111÷11=10(1)
Column 1.3 ip
120000+793277=913277
Column 2.3 ip
400000-229487=170513
Column 3.3 ip
474848+261997=736845
Multiplier 1.2 ip
7298×9=65682
Multiplier 1.3 ip
5693×21=119553
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
38-68÷4÷17=37
Numeracy 1.2 ip
120×6-427=293
Numeracy 2.2 ip
65-750÷6÷5=40
Numeracy 3.1 ip
(13-7)×(21-15)=36
Divisor_ENG 1.2 ip
240÷3=80
Remainder_ENG 1.2 ip
217÷19=11(8)
Comparisons
Natural 0.3 ip
2×24 < 4×19
Natural 1.4 ip
611200 < 611247
Natural 2.4 ip
896896+1845 > 248368+47602
Natural 3.3 ip
840÷20 < 14×34
Equations
Linear 0.1 ip
7×x=7
Linear 1.3 ip
131+x=994
Linear 2.3 ip
x÷2=402
Linear 3.2 ip
78-x×3=15
Linear 4.1 ip
(6-x)×4=8
Rounding
Language Exercises
Russian Vocabulary 2.3
с рень
English Vocabulary 2.2
cl ud
Lexicon 1.2
th m [pronoun]
Lexicon 2.2
m in [chief]
Infinitive 1.1
freeze froze [freeze]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
612415-407415=205000
Beginner 4.5 ip
160216+61763-190025=31954
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
0-4-4=-8
Cognizant 0.3 ip
2×1250=2500
Cognizant 4.3 ip
40×200÷80=100
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
24540×109=2674860
Divisor 1.3 ip
7964÷44=181
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
5200-13×68+2634=6950
Numeracy 1.3 ip
3624-20×120=1224
Numeracy 2.3 ip
3110×30+5400÷27=93500
Numeracy 3.2 ip
178+(10+14)÷2=190
Numeracy 3.3 ip
3513-135÷(57+78)=3512
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
8.2-0.3-1=6.9
Partitive 0.2 dp
38.6-18.2=20.4
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
12.1+34.9=47
Partitive 2.1 dp
5.1+6.2-7.3=4
Partitive 2.2 dp
15.2+50+4=69.2
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
20.5-(26.9-7.1)=0.7
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
3.6×4=14.4
Divisional_ENG 1.1 dp
15.4÷7=2.2
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
527041+91192 > 987931-586331
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
3 > -8
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
-2×3 > 4×(-2)
Point 1.1 dp
32.8 < 58
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
27/4 > 2/3
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
132×(x-606)=660
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
648÷(x+6)=108
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
x÷3=3
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
675÷9≈8
Round 0.2 ip
3500+2064≈56
Round 0.3 ip
147857≈148
Round 1.3 ip
608331≈608
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
410÷5≈8
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
ор гинальный
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
st ff
English Vocabulary 3.2
d rty
Lexicon 1.3
tr ding [commerce]
Infinitive 2.1
broadcast [broadcast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
6-3=3
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
-34+(90-37)=19
Conversant 4.1 in
(9-3)-(8+5)=-7
Conversant 4.2 in
-(16-18)+(13-13)=2
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
741×1000=741000
Cognizant 2.4 ip
748000÷1000=748
Cognizant 3.4 ip
321×940=301740
Cognizant 4.4 ip
25×16×1000=400000
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
9641×4153=40039073
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
-12÷2-75÷3=-31
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
34÷17-60÷6=-8
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
-16÷(-4)=4
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
Partitive 0.3 dp
77.35+1.66+5=84.01
Partitive 1.3 dp
62.72-32.71=30.01
Partitive 2.3 dp
67.12+70.42-50=87.54
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
4.5-2-6.4=-3.9
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
11.3-(-78.9-0.8)=91
Residual 1.1 dp
60÷8=7.5
Divisional 1.2 dp
10.08÷0.35=28.8
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
Denary 1.2 dp
0.6×30=18
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
0.6×(0.5×5)=1.5
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
3.5×1.6+27.1=32.7
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
0.8×(23.9-21.4)×10=20
Negatory 1.1 dn
-5.6×12.5+17.7=-52.3
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
40÷2=20
Divisional_ENG 1.2 dp
1.28÷4=0.32
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
1/2+1/2-3/8=5/8
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
9/10-(7/10+1/10)=1/10
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
1/4+1/4+1/8=5/8
Denominator 3.1 fn
1/3+(-1/2+2/3)=1/2
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
125/13÷5/26=50/1
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
270/35=54/7
Reduction 1.2 fp
126/18=7/1
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
881 > 763
Ceil 1.2 in
85 > -81
Ceil 1.3 in
268 > -563
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
-609+849 > -304+461
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
-84×(-9) > 150×3
Point 0.1 dp
22.8÷6 = 0.5×7.6
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
23 > 21.12
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
26.53+26.28 > 1.85+50.07
Point 2.3 dp
40-16.233 > 9.441+2.859
Point 3.1 dp
13×3.4 > 27.2×0.5
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
-26.8-14.6 = 20.1-61.5
Doted 0.2 dn
-60÷(-2) > 1.2×2
Doted 1.1 dn
-100 < -92.7
Doted 1.2 dn
6.97 > -10
Doted 2.1 dn
59+13.2 > -56+77
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
-31.8÷1.06 = -36.3÷1.21
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
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
-2/7 < 2/7
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
-(-3+x)×3=6
Lineal 0.2 in
-15×(-x)=60
Lineal 1.2 in
-97+x=-37
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
2×x=-94
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
-93-x×2=67
Lineal 4.1 in
-4÷(-10-x)=2
Lineal 4.2 in
10×(-x-84)=-40
Rounding
Rounding 0.1 dp
10.4×3≈31
Rounding 0.2 dp
65.17≈65.2
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
71.21+27.19≈98.4
Rounding 2.3 dp
43.163+9.338≈52.5
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
Russian Vocabulary 2.4
н жданный
English Vocabulary 3.3
m rry
Lexicon 2.3
restri t [bound]
Infinitive 1.2
mistake mistaken [mistake]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
346+424=770
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
-766312+774055-939583=-931840
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
181625-(-153365-643000)=977990
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
(218460+0)+(862505-807963)=273002
Divisor 1.5 ip
5932716÷157=37788
Intellect 0.2 in
397+32÷2=413
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
(280+104)÷(20+4)=16
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
2×30=60
Logics 2.2 in
-288÷(-2)÷(-4)=-36
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
93.016+363.889-433.397=23.508
Partitive 1.4 dp
537.923-16.72=521.203
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
465.971-(38.118+306.665)=121.188
Split 0.3 dn
27-88=-61
Split 0.4 dn
-68.569-484.139-4.175=-556.883
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
-11.75-31.43+97.77=54.59
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
77.155+(215-122.155)=170
Residual 1.2 dp
76÷8=9.5
Divisional 1.3 dp
0.168÷0.014=12
Denary 0.2 dp
1.32÷44÷0.6=0.05
Denary 0.3 dp
18.81÷13.75=1.368
Denary 1.3 dp
0.8×54.675=43.74
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
67.2÷10÷0.5=13.44
Denary 4.3 dp
3.125×12.8×0.88=35.2
Denary 5.2 dp
(9÷37.5)÷2=0.12
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
(2.3+1.2)×(7.35+14.25)=75.6
Definition 1.2 dp
20.09+21.6÷4.8=24.59
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
24.4+8×8.75×1.08=100
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
-55+20.16÷14.4=-53.6
Negatory 2.2 dn
8.07-12×6.25-3.69=-70.62
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
Negatory 3.2 dn
1.32÷(29.16-33.16)×14=-4.62
Residual_ENG 1.2 dp
84÷6=14
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
74/7-29/63=91/9
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
-2551/498+134/3=19693/498
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
Fragment 1.3 fp
1/3×3/5=1/5
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
Reduction 1.3 fp
2460/2697=820/899
Limited 0.1 fp
10/3-26/3÷13/4=2/3
Limited 1.2 fp
2/3÷8/39+463/84=184/21
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
Complete 0.1 fn
2/3÷1/6-3/2=5/2
Complete 1.1 fn
9/4×8/7-4/7=2/1
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
438900 > 300000
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
23000+129472 < 60931+800177
Ceil 3.4 in
-161×2 < 12×2
Point 0.3 dp
61.622-31.622 > 3.919+4.048
Point 0.4 dp
504.6÷10.092 > 529.414÷11.509
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
-79.489 < -22.89
Doted 1.3 dn
-47.644 < -35.648
Doted 1.4 dn
358.696 < 358.713
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
28.836÷(-7.2) < 1.25×(-1.584)
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-1/2÷(-7/10) > 1/2×2/3
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
ц ллюлоза
Russian Vocabulary 3.4
нев данный
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
midni ht
Lexicon 1.4
ever body [all]
Infinitive 2.2
input [input]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-932-896÷16-108=-1096
Intellect 1.3 in
3121-168÷8=3100
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
7258-35÷(30+5)=7257
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-100×(-100)=10000
Logics 2.3 in
5×20÷(-10)=-10
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
7424÷(4×4)÷16=29
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
718.08÷5.984=120
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
1.5×480=720
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
36.8×27-29.733=963.867
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
8.224-(299.981-299.801)×7.6=6.856
Negatory 0.3 dn
74+29.568÷1.2=98.64
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
Negatory 1.4 dn
673.92÷6.5+124.249=227.929
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
(12.544-13.888)×(-14.361-32.514)=63
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
Residual_ENG 1.3 dp
27÷12=2.25
Fraction Examples
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
-4/15+(3377/62-1/90)=15119/279
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
Limited 0.2 fp
777/40×(87/7-82/7)=111/8
Limited 1.3 fp
54145/724-3/4×2701/543=12861/181
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
Doted 0.4 dn
-315.402 < 998.655
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-45457/472 < -807/10
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
Quadratic 0.1 in
x2+11x+18=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
-6x2-48x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
x+y=13
System 1.2 ip
x-y=65
System 2.1 ip
3y×4x=432
System 3.1 ip
10x+4y=140
Set 0.1 in
-3y×12x=-324
Set 1.1 in
y-x=9
Set 2.1 in
40x÷8y=-25
Set 3.1 in
7x-10y=140
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
del berately
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
ill gal
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
fort eth [count]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
slept [sleep]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-187×30×(-147)=824670
Logics 1.4 in
44000÷4=11000
Logics 2.4 in
-586224÷(-27)÷(-23)=-944
Logics 3.4 in
(-400×10)÷50=-80
Logics 4.4 in
-36600÷183÷(21720÷2172)=-20
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
1273/324×(-3/19-1/19)=-67/81
Equations
Quadratic 0.2 in
-75x2-7500x=0
Quadratic 1.2 in
70x2=85750
Quadratic 2.2 in
-10x2+10x=0
Quadratic 3.2 in
-x2+120x-1100=0
System 0.2 ip
x+y=150
System 1.3 ip
y+x=932
System 2.2 ip
36x÷9y=3
System 3.2 ip
30y-20x=750
Set 0.2 in
-11y×3x=29700
Set 1.2 in
-y+x=-10
Set 2.2 in
3402x÷21y=-729
Set 3.2 in
-4y-69x=-2780
Language Exercises
Russian Vocabulary 3.5
ж рдочка
English Vocabulary 3.5
expect tion
Lexicon 2.5
ind pendence [liberty]
Infinitive 2.3
cost [cost]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
x2+17x-390=0
Quadratic 1.3 in
14x2=201600
Quadratic 2.3 in
963x2-315864x=0
Quadratic 3.3 in
-2x2-6x+680=0
System 0.3 ip
4y×x=130680
System 2.3 ip
10y×3x=614400
System 3.3 ip
103x-y=75500
Set 0.3 in
-y+x=530
Set 1.3 in
y+x=-91
Set 2.3 in
-2y×10x=-2160000
Set 3.3 in
-178x-76y=150522
Language Exercises
Infinitive 3.3
sling [sling]
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