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
1+1=2
Addition #2
4+1=5
Addition #3
5+2=7
Addition #4
1+3=4
Addition #5
7+1=8
Subtraction #1
4-2=2
Subtraction #2
3-1=2
Subtraction #3
7-1=6
Subtraction #4
4-1=3
Subtraction #5
6-2=4
Subtraction #6
6-3=3
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
6+3=9
Addition #8
1+0=1
Addition #9
4+4=8
Addition #10
7-5=2
Addition #11
5+4=9
Addition #12
6+2=8
Addition #13
6+1=7
Addition #14
3+9=12
Addition #15
4+7=11
Addition #16
8+7=15
Addition #17
7+1=8
Addition #18
6+8=14
Addition #19
5+9=14
Addition #20
6-2=4
Addition #21
6+10=16
Addition #22
5+8=13
Subtraction #7
10-4=6
Subtraction #8
6-5=1
Subtraction #9
10-1=9
Subtraction #11
14-2=12
Subtraction #12
14-3=11
Subtraction #13
13-6=7
Subtraction #14
16-7=9
Subtraction #15
17-2=15
Subtraction #16
16-8=8
Subtraction #17
11-8=3
Subtraction #18
19-9=10
Subtraction #19
0-0=0
Subtraction #21
14-10=4
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
1+4=5
Beginner 1.3 ip
30+57=87
Beginner 2.3 ip
62-30=32
Beginner 3.3 ip
58-35=23
Beginner 4.2 ip
19-19+0=0
Beginner 5.1 ip
10-(3+6)=1
Step-by-step Tasks
Addition #23
13+5=18
Addition #24
3+2=5
Addition #25
11-10=1
Addition #26
12+5=17
Addition #27
13+23=36
Addition #28
0+14=14
Addition #29
5+5=10
Addition #30
16-15=1
Addition #31
5+25=30
Addition #32
13+26=39
Addition #33
7+9=16
Subtraction #22
9-6=3
Subtraction #23
5-1=4
Subtraction #24
18-12=6
Subtraction #26
11-3=8
Subtraction #27
19-14=5
Subtraction #28
6-5=1
Subtraction #29
17-6=11
Subtraction #31
11-7=4
Subtraction #32
16-6=10
Multiplication #1
1×2=2
Multiplication #2
2×4=8
Multiplication #3
1×1=1
Division #1
10÷1=10
Comparisons
Language Exercises
Russian Vocabulary 1.1
учебн к
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
12-9=3
Beginner 1.4 ip
892+54=946
Beginner 2.4 ip
914-674=240
Beginner 3.4 ip
32+218=250
Beginner 4.3 ip
96-6-20=70
Beginner 5.2 ip
20-(6+10)=4
Cognizant 1.1 ip
0×3=0
Cognizant 2.1 ip
0÷4=0
Cognizant 3.1 ip
9×3=27
Column 1.1 ip
45+27=72
Column 2.1 ip
98-16=82
Column 3.1 ip
97-45=52
Step-by-step Tasks
Addition #34
2+8=10
Addition #35
32-3=29
Addition #36
18+0=18
Addition #37
4+9=13
Addition #38
40+50=90
Addition #39
39+11=50
Addition #40
7+2+1=10
Subtraction #33
27-8=19
Subtraction #34
23-13=10
Subtraction #36
26-9=17
Subtraction #37
14-6=8
Subtraction #38
37-17=20
Subtraction #39
60-30=30
Multiplication #4
3×9=27
Multiplication #5
1×6=6
Multiplication #6
6×4=24
Multiplication #7
4×7=28
Multiplication #8
10×5=50
Multiplication #9
10×5=50
Multiplication #10
2×10=20
Multiplication #11
6×0=0
Multiplication #12
4×1=4
Multiplication #13
7×7=49
Multiplication #14
1×6=6
Multiplication #15
5×2=10
Multiplication #16
9×8=72
Multiplication #17
6×2=12
Multiplication #18
9×3=27
Multiplication #19
3×9=27
Multiplication #20
5×8=40
Multiplication #21
3×10=30
Division #2
12÷2=6
Division #3
16÷2=8
Division #4
6÷3=2
Division #5
16÷2=8
Division #6
40÷4=10
Division #7
4÷4=1
Division #8
25÷5=5
Division #9
0÷4=0
Division #10
20÷4=5
Division #11
0÷6=0
Division #12
30÷5=6
Division #13
35÷7=5
Division #14
0÷4=0
Division #15
20÷4=5
Division #16
80÷8=10
Division #17
0÷3=0
Division #18
36÷9=4
Division #19
80÷8=10
Division #20
30÷3=10
Division #21
80÷10=8
Comparisons
Natural 0.1 ip
10÷10 < 6÷1
Natural 1.2 ip
96 > 92
Natural 2.2 ip
61-11 > 23+12
Natural 3.1 ip
10÷10 < 7×1
Equations
Language Exercises
Russian Vocabulary 1.2
астр навт
Russian Vocabulary 2.1
б тон
Russian Vocabulary 3.1
учит льница
Lexicon 1.1
s ut [close]
Lexicon 2.1
h ng [weigh]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
100-35=65
Beginner 4.4 ip
877+123-0=1000
Beginner 5.3 ip
76-(70-43)=49
Cognizant 0.1 ip
8÷2=4
Cognizant 1.2 ip
3×26=78
Cognizant 2.2 ip
511÷7=73
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
20÷5×3=12
Cognizant 5.1 ip
(40÷4)×10=100
Cognizant 6.1 ip
8÷2×(4÷2)=8
Remainder 1.1 ip
27÷7=3(6)
Column 1.2 ip
1600+5400=7000
Column 2.2 ip
4576-1776=2800
Column 3.2 ip
2908+7092=10000
Multiplier 1.1 ip
31×7=217
Divisor 1.1 ip
30÷6=5
Numeracy 1.1 ip
3×7+69=90
Numeracy 2.1 ip
24÷8+10×5=53
Divisor_ENG 1.1 ip
98÷7=14
Remainder_ENG 1.1 ip
45÷5=9
Step-by-step Tasks
Multiplication #22
2×17=34
Multiplication #23
8×11=88
Multiplication #24
14×3=42
Multiplication #25
2×15=30
Multiplication #26
16×4=64
Multiplication #27
20×5=100
Multiplication #28
12×3=36
Multiplication #29
2×31=62
Multiplication #30
4×25=100
Multiplication #31
11×6=66
Multiplication #32
7×14=98
Multiplication #33
1×15=15
Multiplication #34
8×16=128
Multiplication #35
39×2=78
Multiplication #36
12×9=108
Multiplication #37
19×9=171
Multiplication #38
6×20=120
Multiplication #39
20×19=380
Multiplication #40
2×15=30
Division #22
16÷2=8
Division #23
55÷11=5
Division #24
24÷3=8
Division #25
48÷3=16
Division #26
80÷4=20
Division #27
45÷5=9
Division #28
40÷2=20
Division #29
32÷2=16
Division #30
20÷10=2
Division #31
42÷6=7
Division #32
126÷7=18
Division #33
91÷7=13
Division #34
72÷8=9
Division #35
125÷5=25
Division #36
45÷9=5
Division #37
60÷6=10
Division #38
490÷10=49
Division #39
108÷9=12
Division #40
55÷11=5
Comparisons
Natural 0.2 ip
11×4 > 4×2
Natural 1.3 ip
491 > 466
Natural 2.3 ip
72+174 < 680-264
Natural 3.2 ip
12×6 > 54÷3
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
254+623=877
Beginner 1.5 ip
56900+28668=85568
Beginner 2.5 ip
691254-681381=9873
Beginner 3.5 ip
144524+46154=190678
Beginner 5.4 ip
343+(116+200)=659
Cognizant 0.2 ip
28÷2×27=378
Cognizant 1.3 ip
54×52=2808
Cognizant 2.3 ip
2400÷80=30
Cognizant 3.3 ip
21×30=630
Cognizant 4.2 ip
35×2×10=700
Cognizant 5.2 ip
4×(8×5)=160
Cognizant 6.2 ip
2×(10÷5)×100=400
Remainder 1.2 ip
108÷18=6
Column 1.3 ip
281269+628731=910000
Column 2.3 ip
949800-642000=307800
Column 3.3 ip
300000+489539=789539
Multiplier 1.2 ip
8264×3=24792
Multiplier 1.3 ip
3350×60=201000
Divisor 1.2 ip
993÷3=331
Numeracy 0.1 ip
54÷6+68÷4=26
Numeracy 1.2 ip
840÷15+312=368
Numeracy 2.2 ip
734-44÷22×289=156
Numeracy 3.1 ip
46+36÷(4-2)=64
Divisor_ENG 1.2 ip
395÷5=79
Remainder_ENG 1.2 ip
124÷18=6(16)
Comparisons
Natural 0.3 ip
506+469 > 107+148
Natural 1.4 ip
490089 > 250340
Natural 2.4 ip
556069-472685 < 282987+529037
Natural 3.3 ip
594÷27 < 776÷4
Equations
Linear 0.1 ip
(x+2)×3=9
Linear 1.3 ip
410-x=100
Linear 2.3 ip
2×x=720
Linear 3.2 ip
92-46÷x=90
Linear 4.1 ip
(x-1)×5=0
Rounding
Language Exercises
Russian Vocabulary 2.3
сост заться
English Vocabulary 1.2
th rty
Lexicon 1.2
soft y [gently]
Lexicon 2.2
m in [chief]
Infinitive 1.1
undersell undersold [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
10000+(495252+24826)=530078
Beginner 4.5 ip
162366+277869+128409=568644
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-770000+924199=154199
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
55×3×5=825
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
2000×309=618000
Divisor 1.3 ip
816÷24=34
Numeracy 0.2 ip
400÷10+21×10=250
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
(8915-4055)÷(84+78)=30
Divisor_ENG 1.3 ip
1681÷41=41
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
1.6+8.4=10
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
57-(33.5+3.5)=20
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
2×3.3=6.6
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
23.4÷0.4=58.5
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
703962-603037 > 746779-645871
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
-3 > -10
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
1/10 < 2/3
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
942-38×x=258
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
68÷(14+x)=2
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
-10-x=-4
Lineal 2.1 in
-x×5=-10
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
9.3+71.7≈81
Round 0.1 ip
529≈53
Round 0.2 ip
4×2234≈89
Round 0.3 ip
263×2351≈618
Round 1.3 ip
822773≈823
Round 2.2 ip
10000-7284≈27
Round 2.3 ip
200960+81480≈282
Round 3.1 ip
820÷4≈21
Round 3.2 ip
3835÷5≈8
Round 3.3 ip
71678×13≈932
Language Exercises
Russian Vocabulary 1.4
сан торий
Russian Vocabulary 3.3
нварский
English Vocabulary 1.3
pr per
English Vocabulary 2.3
cen ral
Lexicon 1.3
min ral [inorganic]
Infinitive 2.1
bring [bring]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
2-9=-7
Conversant 0.2 in
-18+3=-15
Conversant 0.3 in
-50+23=-27
Conversant 1.2 in
1+9=10
Conversant 1.3 in
74-74=0
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
-10-60+39=-31
Conversant 3.1 in
-4+(-3-3)=-10
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
(0-18)+(20+16)=18
Conversant 4.3 in
(72-90)-(44+28)=-90
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
965×76=73340
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
551×200=110200
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
200×38÷(190×4)=10
Multiplier 1.5 ip
7734×7000=54138000
Divisor 1.4 ip
7500÷25=300
Intellect 0.1 in
-12÷2-75÷3=-31
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-9×(-2)×2=36
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
81.69-52.51=29.18
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
-4+2.6=-1.4
Split 1.2 dn
5.9+73.4=79.3
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
0.8+(1-9.7)=-7.9
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
2.2×1.05=2.31
Denary 2.2 dp
8.4÷7.5=1.12
Denary 3.2 dp
2.88÷36=0.08
Denary 4.1 dp
0.8÷0.5×2.5=4
Denary 5.1 dp
(10÷0.8)÷2.5=5
Definition 0.1 dp
0.5×(100-98)×1.6=1.6
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
-8.5×5-45.5=-88
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
11÷5=2.2
Divisional_ENG 1.2 dp
0.74÷0.2=3.7
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
4/5-1/5-1/5=2/5
Numerator 2.2 fp
43/9+5/9+2/3=6/1
Numerator 3.1 fp
3/5+(2/5-1/4)=3/4
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
5/6-1/6=2/3
Denominator 1.1 fn
-3/10-1/2=-4/5
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
1/3÷2/5=5/6
Fragment 1.2 fp
41/3÷82/3=1/2
Fragment 2.1 fp
1/3×3/2×25/3=25/6
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
3231/129=1077/43
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-410-222 < -128-3
Ceil 1.2 in
59 = 59
Ceil 1.3 in
678 > -681
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
-726+210 < 848-597
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
Ceil 3.3 in
-25×4 < 990÷9
Point 0.1 dp
4+68.6 < 84.9-12.1
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
1.3 > 1.28
Point 1.3 dp
45.147 > 39.876
Point 1.4 dp
533.338 > 450.065
Point 2.2 dp
26.9+67.33 > 54.33-4.18
Point 2.3 dp
0.51+0.184 < 59.778+26.413
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
42.3÷5 < 16.56×0.75
Doted 0.1 dn
-93.7 < 35.1
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
-71.1 < -31
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
-1.2+100 > 54.4-37.4
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
-94÷(-2.5) > 75÷(-1.5)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
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
1703/128 > 71/352
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
15/2÷45/38 = 3/4÷9/76
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
-64/7 < 26/7
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
-x×2-10=6
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
68-x=-2
Lineal 1.3 in
-x-793=-463
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
x÷3=-291
Lineal 3.1 in
-x÷5+1=2
Lineal 3.2 in
2×x-30=90
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
45÷(-83-x)=-15
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
62.56÷3.03≈20.6
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
22.004≈22
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
9.9×8.9≈88
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
pea eful
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
waylay waylaid [waylay]
Infinitive 3.1
feed [feed]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-340000+470000-406000=-276000
Conversant 1.4 in
-68+388=320
Conversant 2.4 in
-478+53+796=371
Conversant 2.5 in
733000+140786-493786=380000
Conversant 3.4 in
806+(-803-181)=-178
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
-68÷4-536=-553
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
317-(7+23)×25=-433
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-720÷2÷3=-120
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
-900÷3÷(-5×5)=12
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
Partitive 0.4 dp
478.968-97.735-181.233=200
Partitive 1.4 dp
210-92=118
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
507.389-(334.147+116.782)=56.46
Split 0.3 dn
3.98-(-13.02-57)=74
Split 0.4 dn
-230+(-50-620)=-900
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
84.22-90-39.26=-45.04
Split 2.4 dn
-275.078-87.635-530.181=-892.894
Split 3.3 dn
-94.58-(-12-47.58)=-35
Split 3.4 dn
77.155+(215-122.155)=170
Residual 1.2 dp
99÷30=3.3
Divisional 1.3 dp
0.252÷0.01=25.2
Denary 0.2 dp
1.14÷4.56=0.25
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
2.6×15.12=39.312
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
1.6÷5×1.5=0.48
Denary 4.3 dp
66×0.176÷0.704=16.5
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
2÷0.8+67.5=70
Definition 1.3 dp
0.6×0.025+54.579=54.594
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
29.175-91×1.02÷4=5.97
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
-30.444+0.792×64=20.244
Negatory 2.2 dn
100-10÷2.5-79=17
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
-75×(75-76.12)×0.01=0.84
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
39927/409-20260/409-19258/409=1/1
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
-52/63+5/7=-1/9
Denominator 1.3 fn
-134/19-22200/247=-23942/247
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
Fragment 0.2 fp
1/3×51/19×741/17=39/1
Fragment 1.3 fp
49/12×4/49=1/3
Fragment 2.2 fp
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
1/5×203/3×6/5=406/25
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
286/1027=22/79
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
13/4÷(19/4-17/4)=13/2
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
9/2-1/3×9/2=3/1
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
Ceil 0.4 in
-438376+764292 > -138143-462878
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-737178÷(-2) > -148508÷(-2)
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
11.339+474.876 > 111.143+83.948
Point 3.3 dp
2.5×3.456 < 2×8.4
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
546.477 < 635.778
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-310.058-30.117 < 735.233-67.565
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-1/3÷1/26 < 1/2÷(-3/2)
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
men ion
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(86+14)×(23+227)=25000
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
Logics 1.3 in
8712÷36=242
Logics 2.3 in
-2×250÷25=-20
Logics 3.3 in
(192÷(-32))×40=-240
Logics 4.3 in
3672÷(-2)÷(-17×(-4))=-27
Decimal Examples
Residual 1.3 dp
24÷60=0.4
Denary 0.4 dp
718.08÷5.984=120
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
17.199÷955.5=0.018
Denary 3.4 dp
0.5×0.034=0.017
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
3.521×10+41.58÷2=56
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
1.656÷41.4+695.533=695.573
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
Negatory 1.4 dn
-126÷0.672-313.5=-501
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-2/9+(-286/9-3185/558)=-21041/558
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
1/2×35/2+313/4=87/1
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
2 < 721.033
Doted 3.4 dn
589.842÷32.769 = -916.344÷(-50.908)
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
10x2=0
Quadratic 2.1 in
10x2+80x=0
Quadratic 3.1 in
-x2-6x-9=0
System 0.1 ip
y-x=3
System 1.2 ip
x+y=146
System 2.1 ip
2y×8x=576
System 3.1 ip
2y+5x=70
Set 0.1 in
-2x+6y=40
Set 1.1 in
-x+y=10
Set 2.1 in
40x÷8y=-25
Set 3.1 in
8y-8x=160
Language Exercises
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
presu ably
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
sleep [sleep]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-187×30×(-147)=824670
Logics 1.4 in
-11200÷(-200)=56
Logics 2.4 in
15120÷(-15)÷14=-72
Logics 3.4 in
533×(39×(-30))=-623610
Logics 4.4 in
75000÷(10×(-5))÷25=-60
Fraction Examples
Limited 0.3 fp
1/3×7/3-1/36=3/4
Limited 2.3 fp
11932/947÷(4/45+1/9)=59660/947
Complete 0.3 fn
-4/5×105/152-131/399=-37/42
Complete 2.3 fn
-193/14÷(-1/11-4/77)=193/2
Equations
Quadratic 0.2 in
90x2=0
Quadratic 1.2 in
16x2=6400
Quadratic 2.2 in
35x2+2835x=0
Quadratic 3.2 in
x2+2x-288=0
System 0.2 ip
79x-10y=3685
System 1.3 ip
x-y=39
System 2.2 ip
y×9x=45000
System 3.2 ip
32y-9x=2553
Set 0.2 in
-39y-36x=-540
Set 1.2 in
-y-x=-4
Set 2.2 in
66x÷5y=66
Set 3.2 in
-60y+79x=-171
Language Exercises
Russian Vocabulary 3.5
спр ста
English Vocabulary 3.5
expect tion
Lexicon 2.5
transpo tation [conveyance]
Infinitive 2.3
cost [cost]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
-390x2+380250x=0
Quadratic 1.3 in
382x2=2506302
Quadratic 2.3 in
347x2+81198x=0
Quadratic 3.3 in
x2+209x-1962=0
System 0.3 ip
40y-40x=24440
System 2.3 ip
1069200x÷27y=99000
System 3.3 ip
76y+44x=86172
Set 0.3 in
-46x+254y=95236
Set 1.3 in
x-y=-26
Set 2.3 in
-10x×4y=-3149280
Set 3.3 in
-549y+95x=-431389
Language Exercises
Infinitive 3.3
send [send]
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