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
2+1=3
Addition #2
1+1=2
Addition #3
2+5=7
Addition #4
2+3=5
Addition #5
7+1=8
Subtraction #1
5-2=3
Subtraction #2
3-1=2
Subtraction #3
3-2=1
Subtraction #4
9-1=8
Subtraction #5
7-2=5
Subtraction #6
6-3=3
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
2+8=10
Addition #7
3+9=12
Addition #8
8+2=10
Addition #9
4+8=12
Addition #10
3-3=0
Addition #11
9+5=14
Addition #12
4+7=11
Addition #13
6+7=13
Addition #14
3+5=8
Addition #15
2+7=9
Addition #16
2+3=5
Addition #17
2+7=9
Addition #18
8+9=17
Addition #19
5+9=14
Addition #20
6-2=4
Addition #21
10+6=16
Addition #22
5+8=13
Subtraction #7
4-4=0
Subtraction #8
9-5=4
Subtraction #9
10-3=7
Subtraction #11
15-4=11
Subtraction #12
5-2=3
Subtraction #13
10-6=4
Subtraction #14
13-7=6
Subtraction #15
10-5=5
Subtraction #16
16-8=8
Subtraction #17
16-7=9
Subtraction #18
10-9=1
Subtraction #19
20-5=15
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
1+4+5=10
Beginner 1.3 ip
69+22=91
Beginner 2.3 ip
75-21=54
Beginner 3.3 ip
53+12=65
Beginner 4.2 ip
6+14-7=13
Beginner 5.1 ip
1+(9-7)=3
Step-by-step Tasks
Addition #23
9+2=11
Addition #24
0+0=0
Addition #25
11-10=1
Addition #26
12+5=17
Addition #27
0+13=13
Addition #28
0+14=14
Addition #29
0+20=20
Addition #30
12+17=29
Addition #31
0+25=25
Addition #32
13+26=39
Addition #33
27+3=30
Subtraction #22
14-9=5
Subtraction #23
5-1=4
Subtraction #24
13-2=11
Subtraction #26
23-13=10
Subtraction #27
24-14=10
Subtraction #28
8-5=3
Subtraction #29
18-6=12
Subtraction #31
27-7=20
Subtraction #32
16-6=10
Multiplication #1
1×1=1
Multiplication #2
2×6=12
Multiplication #3
1×4=4
Division #1
9÷1=9
Comparisons
Language Exercises
Russian Vocabulary 1.1
мак роны
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
4+11=15
Beginner 1.4 ip
255+725=980
Beginner 2.4 ip
705-207=498
Beginner 3.4 ip
957-106=851
Beginner 4.3 ip
52-48+6=10
Beginner 5.2 ip
10-(12-3)=1
Cognizant 1.1 ip
11×4=44
Cognizant 2.1 ip
96÷2=48
Cognizant 3.1 ip
32÷4=8
Column 1.1 ip
74+26=100
Column 2.1 ip
59-10=49
Column 3.1 ip
78-23=55
Step-by-step Tasks
Addition #34
11+9=20
Addition #35
27-22=5
Addition #36
8+3=11
Addition #37
19+13=32
Addition #38
40+50=90
Addition #39
14+16=30
Addition #40
1+4+3=8
Subtraction #33
20-8=12
Subtraction #34
20-12=8
Subtraction #36
21-19=2
Subtraction #37
11-7=4
Subtraction #38
39-29=10
Subtraction #39
70-40=30
Multiplication #4
3×0=0
Multiplication #5
2×1=2
Multiplication #6
6×4=24
Multiplication #7
10×1=10
Multiplication #8
5×0=0
Multiplication #9
7×5=35
Multiplication #10
10×5=50
Multiplication #11
2×6=12
Multiplication #12
8×6=48
Multiplication #13
7×7=49
Multiplication #14
4×3=12
Multiplication #15
5×2=10
Multiplication #16
1×8=8
Multiplication #17
6×2=12
Multiplication #18
9×4=36
Multiplication #19
3×9=27
Multiplication #20
5×8=40
Multiplication #21
1×10=10
Division #2
2÷2=1
Division #3
4÷2=2
Division #4
12÷3=4
Division #5
12÷3=4
Division #6
40÷4=10
Division #7
6÷1=6
Division #8
25÷5=5
Division #9
18÷2=9
Division #10
20÷2=10
Division #11
12÷6=2
Division #12
30÷5=6
Division #13
14÷7=2
Division #14
70÷7=10
Division #15
20÷4=5
Division #16
32÷8=4
Division #17
35÷7=5
Division #18
45÷9=5
Division #19
45÷5=9
Division #20
80÷8=10
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
н уклюжий
Russian Vocabulary 2.1
б тон
Russian Vocabulary 3.1
к бина
Lexicon 1.1
pot [blot]
Lexicon 2.1
h r [pronoun]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
8+4=12
Beginner 4.4 ip
897+24-626=295
Beginner 5.3 ip
8+(21+71)=100
Cognizant 0.1 ip
12×3=36
Cognizant 1.2 ip
28×14=392
Cognizant 2.2 ip
648÷4=162
Cognizant 3.2 ip
38×24=912
Cognizant 4.1 ip
28÷4÷7=1
Cognizant 5.1 ip
27÷(3×3)=3
Cognizant 6.1 ip
4×(8÷2)÷2=8
Remainder 1.1 ip
29÷9=3(2)
Column 1.2 ip
6800+743=7543
Column 2.2 ip
7000-6446=554
Column 3.2 ip
5643-4996=647
Multiplier 1.1 ip
31×2=62
Divisor 1.1 ip
28÷2=14
Numeracy 1.1 ip
8×4+28=60
Numeracy 2.1 ip
40-30÷5×6=4
Divisor_ENG 1.1 ip
54÷3=18
Remainder_ENG 1.1 ip
48÷5=9(3)
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
11×6=66
Multiplication #24
3×17=51
Multiplication #25
3×15=45
Multiplication #26
4×13=52
Multiplication #27
12×5=60
Multiplication #28
2×12=24
Multiplication #29
20×5=100
Multiplication #30
10×4=40
Multiplication #31
6×20=120
Multiplication #32
7×17=119
Multiplication #33
9×10=90
Multiplication #34
11×8=88
Multiplication #35
39×2=78
Multiplication #36
9×20=180
Multiplication #37
15×7=105
Multiplication #38
7×15=105
Multiplication #39
20×19=380
Multiplication #40
2×20=40
Division #22
16÷2=8
Division #23
99÷11=9
Division #24
54÷3=18
Division #25
2÷2=1
Division #26
76÷4=19
Division #27
85÷5=17
Division #28
24÷2=12
Division #29
64÷4=16
Division #30
20÷10=2
Division #31
18÷6=3
Division #32
119÷7=17
Division #33
56÷7=8
Division #34
88÷8=11
Division #35
80÷20=4
Division #36
18÷9=2
Division #37
60÷6=10
Division #38
480÷10=48
Division #39
108÷9=12
Division #40
77÷11=7
Comparisons
Natural 0.2 ip
45÷9 < 60÷6
Natural 1.3 ip
87 < 580
Natural 2.3 ip
96+250 > 67+278
Natural 3.2 ip
100÷10 < 30×3
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
273+237+310=820
Beginner 1.5 ip
213862+93176=307038
Beginner 2.5 ip
791251-82566=708685
Beginner 3.5 ip
837697-262637=575060
Beginner 5.4 ip
343+(116+200)=659
Cognizant 0.2 ip
19×(8÷2)×8=608
Cognizant 1.3 ip
10×23=230
Cognizant 2.3 ip
8435÷35=241
Cognizant 3.3 ip
4200÷2=2100
Cognizant 4.2 ip
8×8×12=768
Cognizant 5.2 ip
1000÷(400÷40)=100
Cognizant 6.2 ip
2×(10÷5)×100=400
Remainder 1.2 ip
90÷6=15
Column 1.3 ip
120000+352877=472877
Column 2.3 ip
503251-320000=183251
Column 3.3 ip
840216-352007=488209
Multiplier 1.2 ip
7925×4=31700
Multiplier 1.3 ip
5500×60=330000
Divisor 1.2 ip
185÷5=37
Numeracy 0.1 ip
64-4×12=16
Numeracy 1.2 ip
241+20÷4=246
Numeracy 2.2 ip
260÷2-10×4=90
Numeracy 3.1 ip
(9+8)÷(10+7)=1
Divisor_ENG 1.2 ip
810÷9=90
Remainder_ENG 1.2 ip
182÷17=10(12)
Comparisons
Natural 0.3 ip
2×24 < 4×19
Natural 1.4 ip
870157 > 40000
Natural 2.4 ip
385288+74712 < 994888-126225
Natural 3.3 ip
5×4 < 460÷2
Equations
Linear 0.1 ip
x÷3=3
Linear 1.3 ip
761-x=661
Linear 2.3 ip
x×50=450
Linear 3.2 ip
78÷x-1=1
Linear 4.1 ip
2×(1+x)=10
Rounding
Language Exercises
Russian Vocabulary 2.3
и кусный
English Vocabulary 1.2
s ear
Lexicon 1.2
soft y [gently]
Lexicon 2.2
all w [let]
Infinitive 1.1
freeze froze [freeze]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
957514-57514=900000
Beginner 4.5 ip
61973+838027-83493=816507
Beginner 5.5 ip
904921-(273824-157234)=788331
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
-6+10-1=3
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
400÷50×1250=10000
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
3520÷(2×2)÷40=22
Remainder 1.3 ip
271÷87=3(10)
Multiplier 1.4 ip
50000×140=7000000
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
1984+(75+277)÷22=2000
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
126÷14+168÷84=11
Numeracy 3.2 ip
493-(710-658)×3=337
Numeracy 3.3 ip
5979-(1475-897)÷34=5962
Divisor_ENG 1.3 ip
8449÷71=119
Remainder_ENG 1.3 ip
720÷8=90
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
52.3+57.1-18.4=91
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
47.1+3.6=50.7
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
58.5+95.5-75.6=78.4
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
65.9-(42.6-2)=25.3
Divisional 1.1 dp
27.6÷1.5=18.4
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
38.4÷4=9.6
Divisional_ENG 1.1 dp
15.4÷7=2.2
Fraction Examples
Numerator 1.1 fp
3/10+1/5=1/2
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
5×98 > 48300÷100
Ceil 0.1 in
5 = 5
Ceil 1.1 in
6 > -3
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
6÷(-3) = 6÷(-3)
Point 1.1 dp
91.5 > 17.7
Point 2.1 dp
0.4+20.2 = 14.8+5.8
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
93×x=651
Linear 3.3 ip
62×x-326=294
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
300÷(3+x)=100
Lineal 1.1 in
3-x=-3
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
11.9≈12
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
529≈53
Round 0.2 ip
4×2234≈89
Round 0.3 ip
252375+432481≈685
Round 1.3 ip
844542≈845
Round 2.2 ip
1780+667≈24
Round 2.3 ip
97327+55110≈152
Round 3.1 ip
410÷5≈8
Round 3.2 ip
4494÷2≈22
Round 3.3 ip
317850÷489≈1
Language Exercises
Russian Vocabulary 1.4
орг низм
Russian Vocabulary 3.3
дес тикратно
English Vocabulary 1.3
non ense
English Vocabulary 2.3
st ff
Lexicon 1.3
min ral [inorganic]
Infinitive 2.1
quick-freeze [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
-5-2+1=-6
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
90-20=70
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
10+(-9+1)=2
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
-66-(0-18)=-48
Conversant 4.1 in
(0+6)-(10+0)=-4
Conversant 4.2 in
-(13+10)+(17-1)=-7
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
350×140=49000
Cognizant 2.4 ip
424560÷120=3538
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
1584÷528×511=1533
Cognizant 5.4 ip
(200÷4)×1000=50000
Cognizant 6.4 ip
240×(6÷3)×950=456000
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
18732÷28=669
Intellect 0.1 in
6+(44-20)÷6=10
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
-16÷(-4)=4
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-4×(2×6)÷3=-16
Divisor_ENG 1.4 ip
36126÷27=1338
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
63.13-32.42-11=19.71
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
34.4-9.9-77=-52.5
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
-79.5+64=-15.5
Split 2.1 dn
-3.1-7+4=-6.1
Split 2.2 dn
-69.5+99.4-60.7=-30.8
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
6÷10=0.6
Divisional 1.2 dp
20.4÷0.8=25.5
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
0.64×20=12.8
Denary 2.2 dp
46.08÷1.44=32
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
27×2×0.1=5.4
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
2.5×16.8-33.1=8.9
Definition 1.1 dp
30.4+3.6÷9=30.8
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
-12×0.3+1.6÷0.8=-1.6
Residual_ENG 1.1 dp
51÷10=5.1
Divisional_ENG 1.2 dp
0.74÷0.2=3.7
Fraction Examples
Numerator 0.1 fp
2/5-1/5=1/5
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
4/5-2/5-3/10=1/10
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
1/3÷2/5=5/6
Fragment 1.2 fp
139/8÷973/44=11/14
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
2/8=1/4
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
Ceil 0.2 in
-80 < 60
Ceil 0.3 in
881 > 763
Ceil 1.2 in
-26 < -24
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
-88÷(-2) > 2×20
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
80 > 36.8
Point 1.3 dp
44.273 < 99.665
Point 1.4 dp
310.752 > 310.746
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
34.5×2 > 97.2÷8.1
Point 3.2 dp
24.49÷7.9 > 17.71÷5.75
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-60÷(-2) > 1.2×2
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
97.11 = 97.11
Doted 2.1 dn
-1.2+100 > 54.4-37.4
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
Improper 0.2 fp
3/82 < 1/1
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
-3/4 < 1/5
Descent 1.2 fn
16/53 < 1/1
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
Lineal 0.1 in
x+10=6
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
x+56=-24
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
x×80=-800
Lineal 3.1 in
-3-x÷5=-5
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
37.12+36.15≈73.3
Rounding 1.2 dp
90.51≈90.5
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
99.255-49.624≈49.63
Rounding 3.1 dp
10.1×6≈61
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
Russian Vocabulary 2.4
орат р
English Vocabulary 3.3
se ing
Lexicon 2.3
fa rly [quite]
Infinitive 1.2
waylay waylaid [waylay]
Infinitive 3.1
overran [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
828000-168565=659435
Conversant 1.4 in
662-617=45
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
-325759+772245-446486=0
Conversant 3.4 in
-172-(-877+488)=217
Conversant 3.5 in
-233498+(-575715+763305)=-45908
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
Divisor 1.5 ip
8480012÷659=12868
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-720÷360+520=518
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
35×(-26)=-910
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
-8×8×(-2×4)=512
Divisor_ENG 1.5 ip
9852759÷567=17377
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
375.736-(36+16.85)=322.886
Split 0.3 dn
63.09+23.56=86.65
Split 0.4 dn
-544.409+274.409=-270
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
581.172-141.613=439.559
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
Split 3.4 dn
-403.384+(226-568.333)=-745.717
Residual 1.2 dp
32÷20=1.6
Divisional 1.3 dp
0.018÷2=0.009
Denary 0.2 dp
3.75×4=15
Denary 0.3 dp
18.81÷13.75=1.368
Denary 1.3 dp
1.375×17.92=24.64
Denary 2.3 dp
2.64÷1.32=2
Denary 3.3 dp
1.38÷0.69=2
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
3.125×12.8×0.88=35.2
Denary 5.2 dp
(1.2×0.3)÷0.02=18
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
36.48÷3-5.06=7.1
Definition 1.3 dp
37.8÷0.8-44.988=2.262
Definition 2.2 dp
71.87-31.36÷0.98-37.93=1.94
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
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
Numerator 0.3 fp
1/4+(47/452+2446/113)=22/1
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
508/57+4133/114+35941/669=44105/446
Numerator 3.3 fp
32/85+(36/85+88831/940)=89583/940
Denominator 0.2 fn
33/20-(1/5+9/20)=1/1
Denominator 1.2 fn
-657/74+637/74=-10/37
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
61/2÷244/77=77/8
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
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
28/5÷(3/4÷3/40)=14/25
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
Complete 1.1 fn
3/4×50/9+5/2=20/3
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
Ceil 0.4 in
-22000 < 978611
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
Point 0.3 dp
10.071 < 51.284
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
275.032+76.911 > 864.109-512.178
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
Doted 0.3 dn
-92+41 > -91.036+40.026
Doted 1.3 dn
18 < 40.871
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
Improper 0.3 fp
473/10 < 11159/150
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
Descent 1.3 fn
-86480/869 < 3796/209
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Lineal 0.3 in
2×(-x+375)=750
Lineal 3.3 in
x×29+942=-798
Lineal 4.3 in
-60×(865-x)=540
System 1.1 ip
x-y=9
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
с туация
English Vocabulary 1.4
rema ning
English Vocabulary 2.4
str king
Lexicon 1.4
associ tion [union]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
586×43-392÷196=25196
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
952÷(-34)×95=-2660
Logics 3.3 in
(4×400)÷(-100)=-16
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
17.25×0.004=0.069
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
1.056÷(1.28×6.6)=0.125
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
7.92×0.25+509.359=511.339
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
Negatory 1.4 dn
-380.53+405×0.026=-370
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
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
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
75/2÷1/2=75/1
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
1/8×3424/643-274/643=154/643
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
-31/2÷93/251+293/6=7/1
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
x2+5x=0
Quadratic 3.1 in
x2+2x-24=0
System 0.1 ip
y-x=3
System 1.2 ip
y+x=76
System 2.1 ip
90y÷10x=30
System 3.1 ip
9y+5x=140
Set 0.1 in
9y-8x=-146
Set 1.1 in
y+x=13
Set 2.1 in
-144x÷4y=-108
Set 3.1 in
8y-8x=160
Language Exercises
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
comm nication
English Vocabulary 3.4
themsel es
Lexicon 1.5
desp rately [badly]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
shake shaken [shake]
Infinitive 3.2
becomebikm [become]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-19×26÷(4199÷(-221))=26
Logics 1.4 in
-319×610=-194590
Logics 2.4 in
-230400÷96÷(-75)=32
Logics 3.4 in
-15×(-160×(-25))=-60000
Logics 4.4 in
-17×(-39)×(10×24)=159120
Fraction Examples
Limited 0.3 fp
1/3×7/3-1/36=3/4
Limited 2.3 fp
(81/133-4/7)×741/140=39/196
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
Complete 2.3 fn
1273/324×(-3/19-1/19)=-67/81
Equations
Quadratic 0.2 in
-2x2+26x+280=0
Quadratic 1.2 in
7x2=51772
Quadratic 2.2 in
20x2-1200x=0
Quadratic 3.2 in
-x2+8x+48=0
System 0.2 ip
2x+56y=5174
System 1.3 ip
x-y=47
System 2.2 ip
69x÷23y=2
System 3.2 ip
60x-20y=60
Set 0.2 in
-39y-36x=-540
Set 1.2 in
-y-x=-4
Set 2.2 in
-260x÷2y=-871
Set 3.2 in
-33x-5y=-2830
Language Exercises
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
2x2-544x+25134=0
Quadratic 1.3 in
117x2=4916925
Quadratic 2.3 in
276x2+2760x=0
Quadratic 3.3 in
-2x2-656x-51054=0
System 0.3 ip
4y×x=130680
System 2.3 ip
10y×3x=614400
System 3.3 ip
132x+108y=93720
Set 0.3 in
-y+x=530
Set 1.3 in
-y-x=704
Set 2.3 in
y×4x=146880
Set 3.3 in
400y+130x=144200
Language Exercises
Infinitive 3.3
outsell [outsell]
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