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+2=3
Addition #2
1+4=5
Addition #3
5+2=7
Addition #4
2+3=5
Addition #5
7+1=8
Subtraction #1
3-1=2
Subtraction #2
6-2=4
Subtraction #3
5-2=3
Subtraction #4
9-1=8
Subtraction #5
6-2=4
Subtraction #6
3-3=0
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
3+9=12
Addition #8
2+0=2
Addition #9
4+8=12
Addition #10
0-0=0
Addition #11
5+4=9
Addition #12
5+3=8
Addition #13
6+7=13
Addition #14
4+5=9
Addition #15
7+4=11
Addition #16
7+8=15
Addition #17
7+1=8
Addition #18
4+8=12
Addition #19
9+7=16
Addition #20
9-0=9
Addition #21
10+6=16
Addition #22
5+10=15
Subtraction #7
5-4=1
Subtraction #8
8-5=3
Subtraction #9
9-2=7
Subtraction #11
13-2=11
Subtraction #12
5-2=3
Subtraction #13
10-6=4
Subtraction #14
16-7=9
Subtraction #15
10-5=5
Subtraction #16
9-8=1
Subtraction #17
20-8=12
Subtraction #18
10-9=1
Subtraction #19
15-0=15
Subtraction #21
13-10=3
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
10+(9-9)=10
Beginner 1.3 ip
12+14=26
Beginner 2.3 ip
62-30=32
Beginner 3.3 ip
75-27=48
Beginner 4.2 ip
19-2+1=18
Beginner 5.1 ip
1+(5+1)=7
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
5+5=10
Addition #25
9+0=9
Addition #26
12+5=17
Addition #27
22+3=25
Addition #28
14+11=25
Addition #29
10+10=20
Addition #30
18-15=3
Addition #31
2+25=27
Addition #32
25+6=31
Addition #33
5+27=32
Subtraction #22
15-8=7
Subtraction #23
5-1=4
Subtraction #24
3-2=1
Subtraction #26
5-3=2
Subtraction #27
24-14=10
Subtraction #28
8-5=3
Subtraction #29
18-6=12
Subtraction #31
16-7=9
Subtraction #32
17-17=0
Multiplication #1
1×6=6
Multiplication #2
2×4=8
Multiplication #3
1×4=4
Division #1
4÷1=4
Comparisons
Language Exercises
Russian Vocabulary 1.1
учебн к
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
20-2=18
Beginner 1.4 ip
2+5=7
Beginner 2.4 ip
705-207=498
Beginner 3.4 ip
32+218=250
Beginner 4.3 ip
58-46+67=79
Beginner 5.2 ip
16-(1+5)=10
Cognizant 1.1 ip
2×3=6
Cognizant 2.1 ip
91÷13=7
Cognizant 3.1 ip
8×4=32
Column 1.1 ip
54+29=83
Column 2.1 ip
79-31=48
Column 3.1 ip
30-10=20
Step-by-step Tasks
Addition #34
29+1=30
Addition #35
28+2=30
Addition #36
8+12=20
Addition #37
19+13=32
Addition #38
80+0=80
Addition #39
4+16=20
Addition #40
1+4+3=8
Subtraction #33
19-18=1
Subtraction #34
20-17=3
Subtraction #36
16-9=7
Subtraction #37
11-7=4
Subtraction #38
40-20=20
Subtraction #39
100-60=40
Multiplication #4
10×3=30
Multiplication #5
2×1=2
Multiplication #6
4×10=40
Multiplication #7
9×3=27
Multiplication #8
8×5=40
Multiplication #9
5×7=35
Multiplication #10
10×5=50
Multiplication #11
6×6=36
Multiplication #12
4×1=4
Multiplication #13
8×7=56
Multiplication #14
4×3=12
Multiplication #15
6×10=60
Multiplication #16
1×8=8
Multiplication #17
3×7=21
Multiplication #18
10×9=90
Multiplication #19
9×9=81
Multiplication #20
5×2=10
Multiplication #21
10×4=40
Division #2
16÷2=8
Division #3
6÷2=3
Division #4
3÷3=1
Division #5
12÷3=4
Division #6
0÷4=0
Division #7
4÷4=1
Division #8
30÷5=6
Division #9
27÷3=9
Division #10
10÷1=10
Division #11
48÷6=8
Division #12
10÷5=2
Division #13
63÷7=9
Division #14
32÷4=8
Division #15
5÷1=5
Division #16
0÷8=0
Division #17
0÷3=0
Division #18
81÷9=9
Division #19
15÷5=3
Division #20
30÷3=10
Division #21
10÷10=1
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
г гант
Russian Vocabulary 2.1
чу ть
Russian Vocabulary 3.1
б стро
Lexicon 1.1
y s [agreement]
Lexicon 2.1
f ot [sole]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
11+25-16=20
Beginner 4.4 ip
10+38+67=115
Beginner 5.3 ip
100+(73-73)=100
Cognizant 0.1 ip
12×3=36
Cognizant 1.2 ip
2×245=490
Cognizant 2.2 ip
568÷8=71
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
40÷2÷4=5
Cognizant 5.1 ip
8÷(4÷2)=4
Cognizant 6.1 ip
60×2÷(3×4)=10
Remainder 1.1 ip
57÷9=6(3)
Column 1.2 ip
5811+3090=8901
Column 2.2 ip
7000-6446=554
Column 3.2 ip
8747-4847=3900
Multiplier 1.1 ip
65×7=455
Divisor 1.1 ip
72÷2=36
Numeracy 1.1 ip
70-7×10=0
Numeracy 2.1 ip
8+92÷2÷2=31
Divisor_ENG 1.1 ip
90÷9=10
Remainder_ENG 1.1 ip
27÷3=9
Step-by-step Tasks
Multiplication #22
15×2=30
Multiplication #23
11×8=88
Multiplication #24
3×17=51
Multiplication #25
2×15=30
Multiplication #26
4×12=48
Multiplication #27
5×11=55
Multiplication #28
12×3=36
Multiplication #29
20×5=100
Multiplication #30
3×20=60
Multiplication #31
6×20=120
Multiplication #32
10×7=70
Multiplication #33
6×15=90
Multiplication #34
11×8=88
Multiplication #35
2×33=66
Multiplication #36
12×9=108
Multiplication #37
15×7=105
Multiplication #38
6×20=120
Multiplication #39
20×2=40
Multiplication #40
2×20=40
Division #22
16÷2=8
Division #23
88÷11=8
Division #24
54÷3=18
Division #25
2÷2=1
Division #26
76÷4=19
Division #27
95÷5=19
Division #28
40÷2=20
Division #29
48÷4=12
Division #30
20÷10=2
Division #31
12÷6=2
Division #32
126÷7=18
Division #33
66÷6=11
Division #34
88÷8=11
Division #35
60÷10=6
Division #36
18÷9=2
Division #37
35÷7=5
Division #38
480÷10=48
Division #39
135÷9=15
Division #40
12÷4=3
Comparisons
Natural 0.2 ip
20 < 48
Natural 1.3 ip
87 < 580
Natural 2.3 ip
738-94 < 460+420
Natural 3.2 ip
60÷5 < 100÷2
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
975-21-84=870
Beginner 1.5 ip
108027+666122=774149
Beginner 2.5 ip
950543-250543=700000
Beginner 3.5 ip
174686+125314=300000
Beginner 5.4 ip
431-(247-156)=340
Cognizant 0.2 ip
588÷7=84
Cognizant 1.3 ip
20×245=4900
Cognizant 2.3 ip
2400÷80=30
Cognizant 3.3 ip
52×81=4212
Cognizant 4.2 ip
8×8×12=768
Cognizant 5.2 ip
1000÷(400÷40)=100
Cognizant 6.2 ip
8×4×(2×10)=640
Remainder 1.2 ip
136÷7=19(3)
Column 1.3 ip
448033+237992=686025
Column 2.3 ip
395396-182878=212518
Column 3.3 ip
794288-639670=154618
Multiplier 1.2 ip
8600×7=60200
Multiplier 1.3 ip
7507×52=390364
Divisor 1.2 ip
478÷2=239
Numeracy 0.1 ip
45+(15+3)÷18=46
Numeracy 1.2 ip
370-40÷2=350
Numeracy 2.2 ip
734-44÷22×289=156
Numeracy 3.1 ip
(4+7)×(7+2)=99
Divisor_ENG 1.2 ip
810÷9=90
Remainder_ENG 1.2 ip
35÷5=7
Comparisons
Natural 0.3 ip
506+469 > 107+148
Natural 1.4 ip
611200 < 611247
Natural 2.4 ip
15000+234100 < 314994+615006
Natural 3.3 ip
36×8 > 38×3
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
33+x÷3=56
Linear 4.1 ip
9÷(x+1)=3
Rounding
Language Exercises
Russian Vocabulary 2.3
вн мание
English Vocabulary 1.2
ch at
English Vocabulary 2.2
ins de
Lexicon 1.2
p ate [dish]
Lexicon 2.2
our [pronoun]
Infinitive 1.1
rid rid [rid]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
40000+955560=995560
Beginner 4.5 ip
114479+71580+313941=500000
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
1+10-9=2
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
210÷14÷15=1
Cognizant 5.3 ip
(5×50)÷2=125
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
654÷100=6(54)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
276+(45-44)×37=313
Numeracy 3.3 ip
(136+1704)÷(53+867)=2
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
166÷49=3(19)
Decimal Examples
Partitive 0.1 dp
8.2-0.3-1=6.9
Partitive 0.2 dp
30.6+39.3+24=93.9
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
0.9+71.2=72.1
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
87.9-17.7-7.4=62.8
Partitive 3.1 dp
2+(6.6-0.2)=8.4
Partitive 3.2 dp
31.4+(63.7-39)=56.1
Divisional 1.1 dp
48.6÷1.2=40.5
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
12.6÷0.5=25.2
Denary 3.1 dp
1.4×2.5=3.5
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
890114-40114 > 305002+36972
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
-7 < 3
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
78.7 > 29.7
Point 2.1 dp
81.4-79.4 < 3.9+83.3
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
27/40 > 7/20
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
x÷5=90
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
(747-x)×117=585
Lineal 1.1 in
1-x=1
Lineal 2.1 in
x÷(-7)=-1
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
529≈53
Round 0.2 ip
1528≈15
Round 0.3 ip
535855≈536
Round 1.3 ip
809804≈810
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
5×25≈13
Round 3.2 ip
4136÷8≈5
Round 3.3 ip
870504÷152≈6
Language Exercises
Russian Vocabulary 1.4
орг низм
Russian Vocabulary 3.3
р сток
English Vocabulary 1.3
e pire
Lexicon 1.3
un form [outfit]
Infinitive 2.1
take [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(10+6)+(6+0)=-10
Conversant 0.2 in
(4+2)+(4+6)=16
Conversant 0.3 in
22-(60-34)=-4
Conversant 1.2 in
-6+5=-1
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
17+16-13=20
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
-2-(1+4)=-7
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
-66-(0-18)=-48
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
(19+3)-(3+4)=15
Conversant 4.3 in
-(68-40)+(40+60)=72
Cognizant 0.4 ip
505×408=206040
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
10235÷89=115
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
2×10000÷160=125
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
95559÷53=1803
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-35-(92-77)÷5=-38
Logics 0.1 in
-18÷(3×(-3))=2
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
10×(-3)×(-3)=90
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
70-58+33=45
Partitive 3.3 dp
81.88-(16+24)=41.88
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
-12-(1.3+16.1)=-29.4
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
4.7+6.9-9.7=1.9
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
14÷10=1.4
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
2.2×1.05=2.31
Denary 2.2 dp
43.2÷72=0.6
Denary 3.2 dp
42.24÷64=0.66
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
(9×0.1)÷3=0.3
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-18÷1.8-23=-33
Negatory 2.1 dn
91-3×9.6-34.2=28
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
Numerator 0.1 fp
3/5+2/5-5/8=3/8
Numerator 0.2 fp
8/13+5/13+17/22=39/22
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
119/87+484/87-201/29=0/1
Numerator 3.1 fp
9/10-(7/10+1/10)=1/10
Numerator 3.2 fp
266/29-(47/29-13/29)=8/1
Denominator 0.1 fn
1/3+2/3-2/3=1/3
Denominator 1.1 fn
2/3+1/3=1/1
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
Denominator 3.1 fn
-1/8+(-1/8-1/8)=-3/8
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
14/3×6/35=4/5
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
480/16=30/1
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
15÷(-5) > -40÷10
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
730 > 554
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
-239-388 < -248+30
Ceil 3.2 in
-12×2 < 5×7
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
90.4-17.9 > 99.7-61
Point 0.2 dp
56.88-4.25 < 1.7+50.94
Point 1.2 dp
81 > 80.07
Point 1.3 dp
63.298 > 40
Point 1.4 dp
190.863 < 436.083
Point 2.2 dp
26.53+26.28 > 1.85+50.07
Point 2.3 dp
86.162-52.642 = 97.534-64.014
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
53.6 > 44.8
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
76.8 > -62.4
Doted 1.2 dn
97.11 = 97.11
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
Doted 3.1 dn
-97.2÷1.8 < 2×(-4.4)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
403/9-26911/603 < 5/2+251/4
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
Descent 1.1 fn
-1/6 > -3/4
Descent 1.2 fn
-264/49 < 125/17
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
-66÷x=3
Lineal 1.2 in
35+x=75
Lineal 1.3 in
-x-561=409
Lineal 2.2 in
-2×x=-84
Lineal 2.3 in
x×(-31)=-930
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
-60-2×x=100
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
61.65≈61.7
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
21.7÷37.3≈1
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
э спрессия
English Vocabulary 3.3
un form
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
let let [let]
Infinitive 3.1
unspin [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
629575-632768=-3193
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
-478+53+796=371
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
29-(-288-682)=999
Conversant 3.5 in
-114464-(-343305+181000)=47841
Conversant 4.4 in
-(288+616)-(151-335)=-720
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
-90×7-21=-651
Intellect 2.2 in
916÷2-280÷35=450
Intellect 3.2 in
-176-(903-957)÷9=-170
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
-4×(5×5)=-100
Logics 4.2 in
20×(-26÷13)×(-8)=320
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
Partitive 0.4 dp
18-18=0
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
380.021+(381.715+92)=853.736
Split 0.3 dn
-54.65-5.27-17.34=-77.26
Split 0.4 dn
-582.667+45+112.667=-425
Split 1.3 dn
13.3-6.79=6.51
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-70-(-97.33-62.67)=90
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
Residual 1.2 dp
36÷3=12
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
0.96÷(0.8×0.05)=24
Denary 0.3 dp
5.5×0.046=0.253
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
2.64÷1.32=2
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
61.675+0.768÷0.64=62.875
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
Negatory 0.1 dn
-78÷1.3+39.1=-20.9
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
Negatory 3.1 dn
(11.7+7.8)÷(29+36)=0.3
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
Numerator 0.3 fp
4744/99-(1/5+356/495)=47/1
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
3044/35-(1/5+27/35)=86/1
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
Denominator 1.2 fn
-52/63+5/7=-1/9
Denominator 1.3 fn
-2551/498+134/3=19693/498
Denominator 2.2 fn
5/6+191/66-12/77=25/7
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
2112/3504=44/73
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
95/3÷19/28-29/3=37/1
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
Complete 0.1 fn
2/9×(-1/2-1/4)=-1/6
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
-8/3÷(7/4+9/4)=-2/3
Comparisons
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
Ceil 1.4 in
-582416 > -971631
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
600442÷(-2) < 160912÷2
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
9.859 > -20.155
Doted 1.4 dn
707 > 650
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
-13777/249 < -61/415
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Lineal 0.3 in
2×(-x+375)=750
Lineal 3.3 in
-38×x-112=-872
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
x-y=9
Rounding
Language Exercises
Russian Vocabulary 1.5
наскво ь
Russian Vocabulary 3.4
систем тически
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
alc hol
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
hung [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-158×54-2160÷80=-8559
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
7189-432÷24×3996=-64739
Intellect 3.3 in
-136-350÷(4905-4903)=-311
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
-160÷20=-8
Logics 2.3 in
-15×500÷(-2)=3750
Logics 3.3 in
(1600÷100)×87=1392
Logics 4.3 in
-480÷(-4÷2)÷(-4)=-60
Decimal Examples
Residual 1.3 dp
74÷2=37
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
11.4÷30.4=0.375
Denary 3.4 dp
1.012÷1.265=0.8
Denary 4.4 dp
0.864÷2.4×890=320.4
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
Negatory 1.4 dn
101.99+28.125×19.2=641.99
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
35÷5=7
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
41/3÷205/3=1/5
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
6/11÷72/55-473/804=-23/134
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
928.872÷(-63) < 545.9÷50
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
8x2=8
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-2x2+6x+8=0
System 0.1 ip
y+x=15
System 1.2 ip
y-x=27
System 2.1 ip
3y×4x=432
System 3.1 ip
3y-2x=7
Set 0.1 in
-x+y=20
Set 1.1 in
-y+x=8
Set 2.1 in
-2y×2x=-400
Set 3.1 in
-7y-3x=91
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
suffi iently
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
congres
Lexicon 1.5
commer ial [trading]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
sowed [sow]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-19×26÷(4199÷(-221))=26
Logics 1.4 in
-3960÷88=-45
Logics 2.4 in
20×160÷(-400)=-8
Logics 3.4 in
-640000÷(3200÷(-800))=160000
Logics 4.4 in
-693120÷(2888÷(-38))÷16=570
Fraction Examples
Limited 0.3 fp
(50/3+203/24)×40/67=15/1
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
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
-84x2+3948x=0
Quadratic 3.2 in
2x2+34x-540=0
System 0.2 ip
x+y=161
System 1.3 ip
x-y=298
System 2.2 ip
60y÷x=6
System 3.2 ip
60y-30x=2100
Set 0.2 in
-29y-24x=3230
Set 1.2 in
-x+y=64
Set 2.2 in
29568y÷77x=-4480
Set 3.2 in
-31y-x=-1509
Language Exercises
Russian Vocabulary 3.5
масл ница
English Vocabulary 3.5
continuo sly
Lexicon 2.5
ind pendence [liberty]
Infinitive 2.3
overdo [overdo]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
2x2-540x-33488=0
Quadratic 1.3 in
231x2=1006236
Quadratic 2.3 in
950x2-148200x=0
Quadratic 3.3 in
3x2+288x+6045=0
System 0.3 ip
9y÷x=2
System 2.3 ip
840x÷294y=4
System 3.3 ip
134x-10y=240
Set 0.3 in
-46x+254y=95236
Set 1.3 in
-y+x=101
Set 2.3 in
-10x×4y=-3149280
Set 3.3 in
239y-9x=-98470
Language Exercises
Infinitive 3.3
forego [forego]
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