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+2=5
Addition #2
2+3=5
Addition #3
5+2=7
Addition #4
1+0=1
Addition #5
3+1=4
Subtraction #1
4-2=2
Subtraction #2
5-2=3
Subtraction #3
5-2=3
Subtraction #4
2-1=1
Subtraction #5
2-2=0
Subtraction #6
10-3=7
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
7+2=9
Addition #7
7+3=10
Addition #8
5+3=8
Addition #9
4+1=5
Addition #10
4+6=10
Addition #11
5+4=9
Addition #12
7+5=12
Addition #13
2+6=8
Addition #14
3+8=11
Addition #15
2+7=9
Addition #16
5+0=5
Addition #17
4+2=6
Addition #18
5+8=13
Addition #19
9+7=16
Addition #20
2-1=1
Addition #21
6+10=16
Addition #22
1+10=11
Subtraction #7
9-4=5
Subtraction #8
7-5=2
Subtraction #9
10-1=9
Subtraction #11
14-2=12
Subtraction #12
14-3=11
Subtraction #13
7-6=1
Subtraction #14
15-7=8
Subtraction #15
17-2=15
Subtraction #16
16-8=8
Subtraction #17
11-8=3
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
5-3=2
Beginner 1.3 ip
33+47=80
Beginner 2.3 ip
95-41=54
Beginner 3.3 ip
64+29=93
Beginner 4.2 ip
20-13+5=12
Beginner 5.1 ip
1+(5+1)=7
Step-by-step Tasks
Addition #23
13+5=18
Addition #24
5+5=10
Addition #25
3+13=16
Addition #26
22+4=26
Addition #27
22+3=25
Addition #28
14+11=25
Addition #29
5+5=10
Addition #30
16-15=1
Addition #31
15+11=26
Addition #32
19+6=25
Addition #33
7+0=7
Subtraction #22
10-9=1
Subtraction #23
18-1=17
Subtraction #24
12-2=10
Subtraction #26
23-13=10
Subtraction #27
17-4=13
Subtraction #28
16-15=1
Subtraction #29
18-6=12
Subtraction #31
27-7=20
Subtraction #32
8-8=0
Multiplication #1
1×5=5
Multiplication #2
2×4=8
Multiplication #3
0×1=0
Division #1
7÷1=7
Comparisons
Language Exercises
Russian Vocabulary 1.1
заш л
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
20-2=18
Beginner 1.4 ip
98+92=190
Beginner 2.4 ip
775-5=770
Beginner 3.4 ip
20+703=723
Beginner 4.3 ip
52-48+6=10
Beginner 5.2 ip
20-(6+10)=4
Cognizant 1.1 ip
4×25=100
Cognizant 2.1 ip
92÷23=4
Cognizant 3.1 ip
20÷2=10
Column 1.1 ip
51+28=79
Column 2.1 ip
70-34=36
Column 3.1 ip
66+32=98
Step-by-step Tasks
Addition #34
29+1=30
Addition #35
29+6=35
Addition #36
8+2=10
Addition #37
8+9=17
Addition #38
80+0=80
Addition #39
27+23=50
Addition #40
7+2+1=10
Subtraction #33
20-8=12
Subtraction #34
23-13=10
Subtraction #36
12-9=3
Subtraction #37
14-6=8
Subtraction #38
39-9=30
Subtraction #39
50-10=40
Multiplication #4
10×3=30
Multiplication #5
2×1=2
Multiplication #6
4×9=36
Multiplication #7
10×4=40
Multiplication #8
5×0=0
Multiplication #9
3×3=9
Multiplication #10
2×10=20
Multiplication #11
6×0=0
Multiplication #12
8×5=40
Multiplication #13
7×7=49
Multiplication #14
1×6=6
Multiplication #15
7×10=70
Multiplication #16
8×4=32
Multiplication #17
8×7=56
Multiplication #18
10×9=90
Multiplication #19
0×9=0
Multiplication #20
10×2=20
Multiplication #21
10×8=80
Division #2
14÷2=7
Division #3
12÷2=6
Division #4
12÷3=4
Division #5
16÷2=8
Division #6
0÷4=0
Division #7
4÷2=2
Division #8
15÷5=3
Division #9
0÷4=0
Division #10
50÷5=10
Division #11
12÷6=2
Division #12
10÷5=2
Division #13
14÷7=2
Division #14
36÷4=9
Division #15
15÷3=5
Division #16
0÷8=0
Division #17
0÷8=0
Division #18
45÷9=5
Division #19
35÷5=7
Division #20
70÷7=10
Division #21
10÷10=1
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
х зяйство
Russian Vocabulary 3.1
восем
English Vocabulary 1.1
m rch
Lexicon 1.1
ag in [anew]
Lexicon 2.1
ld [aged]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
12+(50+36)=98
Beginner 4.4 ip
145+173+372=690
Beginner 5.3 ip
97-(5+60)=32
Cognizant 0.1 ip
10×10=100
Cognizant 1.2 ip
28×21=588
Cognizant 2.2 ip
618÷6=103
Cognizant 3.2 ip
9×50=450
Cognizant 4.1 ip
4×4×4=64
Cognizant 5.1 ip
3×(4×2)=24
Cognizant 6.1 ip
4×(8÷2)÷2=8
Remainder 1.1 ip
29÷9=3(2)
Column 1.2 ip
4320+5659=9979
Column 2.2 ip
8000-483=7517
Column 3.2 ip
2313+7687=10000
Multiplier 1.1 ip
54×5=270
Divisor 1.1 ip
27÷3=9
Numeracy 1.1 ip
72÷2-16=20
Numeracy 2.1 ip
42-40÷20+36=76
Divisor_ENG 1.1 ip
40÷4=10
Remainder_ENG 1.1 ip
38÷4=9(2)
Step-by-step Tasks
Multiplication #22
2×23=46
Multiplication #23
11×6=66
Multiplication #24
14×3=42
Multiplication #25
10×2=20
Multiplication #26
17×4=68
Multiplication #27
12×5=60
Multiplication #28
12×1=12
Multiplication #29
20×5=100
Multiplication #30
20×1=20
Multiplication #31
6×18=108
Multiplication #32
7×14=98
Multiplication #33
6×15=90
Multiplication #34
17×8=136
Multiplication #35
16×5=80
Multiplication #36
9×11=99
Multiplication #37
6×14=84
Multiplication #38
15×10=150
Multiplication #39
20×8=160
Multiplication #40
2×20=40
Division #22
10÷2=5
Division #23
44÷11=4
Division #24
18÷3=6
Division #25
26÷2=13
Division #26
56÷4=14
Division #27
95÷5=19
Division #28
24÷2=12
Division #29
54÷3=18
Division #30
100÷50=2
Division #31
60÷6=10
Division #32
119÷7=17
Division #33
56÷7=8
Division #34
88÷8=11
Division #35
60÷10=6
Division #36
108÷9=12
Division #37
28÷7=4
Division #38
420÷20=21
Division #39
72÷8=9
Division #40
32÷4=8
Comparisons
Natural 0.2 ip
56-35 > 10+4
Natural 1.3 ip
87 < 580
Natural 2.3 ip
671-177 = 980-486
Natural 3.2 ip
100÷50 < 3×26
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-(85+224)=455
Beginner 1.5 ip
454839+475161=930000
Beginner 2.5 ip
691254-681381=9873
Beginner 3.5 ip
837697-262637=575060
Beginner 5.4 ip
431-(247-156)=340
Cognizant 0.2 ip
892÷4=223
Cognizant 1.3 ip
56×72=4032
Cognizant 2.3 ip
8010÷10=801
Cognizant 3.3 ip
87×85=7395
Cognizant 4.2 ip
400÷4÷2=50
Cognizant 5.2 ip
(69÷3)÷23=1
Cognizant 6.2 ip
17×(39÷3)÷221=1
Remainder 1.2 ip
111÷11=10(1)
Column 1.3 ip
157000+281637=438637
Column 2.3 ip
949800-642000=307800
Column 3.3 ip
796529+201471=998000
Multiplier 1.2 ip
9047×2=18094
Multiplier 1.3 ip
2373×47=111531
Divisor 1.2 ip
1000÷4=250
Numeracy 0.1 ip
54÷6+68÷4=26
Numeracy 1.2 ip
137×3+376=787
Numeracy 2.2 ip
124+92÷23+422=550
Numeracy 3.1 ip
(4+7)×(7+2)=99
Divisor_ENG 1.2 ip
144÷9=16
Remainder_ENG 1.2 ip
48÷16=3
Comparisons
Natural 0.3 ip
2×24 < 4×19
Natural 1.4 ip
920151 > 560411
Natural 2.4 ip
895326+79974 > 602031-124272
Natural 3.3 ip
536÷67 = 4×2
Equations
Linear 0.1 ip
x+3=4
Linear 1.3 ip
x-250=240
Linear 2.3 ip
x÷25=4
Linear 3.2 ip
47+x×4=47
Linear 4.1 ip
3×(9-x)=9
Rounding
Language Exercises
Russian Vocabulary 2.3
п недельник
Lexicon 1.2
t mato [love apple]
Lexicon 2.2
l kely [probably]
Infinitive 1.1
undergo undergone [undergo]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
1961+910910=912871
Beginner 4.5 ip
114479+71580+313941=500000
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-4-3=-7
Conversant 1.5 in
-670307-6323=-676630
Conversant 2.1 in
-2-1+0=-3
Cognizant 0.3 ip
160÷16÷2=5
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
22227×233=5178891
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
570-800÷(280-272)=470
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
695+2000÷16÷25=700
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
9-(9.4-7.5)=7.1
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
8.4-0.4=8
Partitive 1.2 dp
94.7-8.3=86.4
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
1.4×2.5=3.5
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
-2×(-3) > 10÷(-10)
Ceil 1.1 in
6 > -3
Ceil 2.1 in
-9-0 < 7+0
Ceil 3.1 in
8÷4 < 8÷2
Point 1.1 dp
78.7 > 29.7
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
1/2 > 1/6
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
Linear 0.2 ip
x×15=60
Linear 0.3 ip
352÷(5+x)=32
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
68÷(14+x)=2
Linear 4.3 ip
253×(x-643)=0
Lineal 1.1 in
3+x=-4
Lineal 2.1 in
-x×(-4)=8
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
94.7-16.4≈78
Round 0.1 ip
529≈53
Round 0.2 ip
3×1404≈42
Round 0.3 ip
250235≈250
Round 1.3 ip
674799≈675
Round 2.2 ip
1780+667≈24
Round 2.3 ip
220000+66769≈287
Round 3.1 ip
11×91≈100
Round 3.2 ip
1123×3≈34
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
гр мматика
English Vocabulary 1.3
e pire
English Vocabulary 2.3
nless
English Vocabulary 3.2
m ving
Lexicon 1.3
brin [bear]
Infinitive 2.1
backslide [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
4+7-10=1
Conversant 0.2 in
7+10-17=0
Conversant 0.3 in
-30-65=-95
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-45-23=-68
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
-7+14-37=-30
Conversant 3.1 in
-7-(1-8)=0
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
(9-3)-(8+5)=-7
Conversant 4.2 in
-(14-20)-(19-10)=-3
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
100×142=14200
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
25×16×1000=400000
Cognizant 5.4 ip
200×(25×5)=25000
Cognizant 6.4 ip
417×32×(66÷22)=40032
Multiplier 1.5 ip
71200×1008=71769600
Divisor 1.4 ip
6250÷25=250
Intellect 0.1 in
-12÷2-75÷3=-31
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
23+24÷4+41=70
Intellect 3.1 in
-18-92÷(43-41)=-64
Logics 0.1 in
-36÷(-12÷(-6))=-18
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
-16÷4×2=-8
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
11135÷17=655
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
63.13-32.42-11=19.71
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
55.8-34=21.8
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
5.9+73.4=79.3
Split 2.1 dn
4.7+6.9-9.7=1.9
Split 2.2 dn
-45.3-30-10=-85.3
Split 3.1 dn
3.7-(-3-2.4)=9.1
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
34÷10=3.4
Divisional 1.2 dp
80.64÷4.2=19.2
Denary 0.1 dp
4.5×0.8=3.6
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
100÷2.5÷10=4
Denary 5.1 dp
7.6÷(76×0.2)=0.5
Definition 0.1 dp
71+(25.7-24.5)÷0.8=72.5
Definition 1.1 dp
1÷0.5+59.3=61.3
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
89+50.4÷56-56.2=33.7
Residual_ENG 1.1 dp
58÷10=5.8
Divisional_ENG 1.2 dp
14.4÷2.4=6
Fraction Examples
Numerator 0.1 fp
4/9+2/9+1/6=5/6
Numerator 0.2 fp
29/5-(59/30-13/18)=41/9
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
41/9-68/15+14/45=1/3
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
-8/9+1/9=-7/9
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
2/5×5/8=1/4
Fragment 1.2 fp
33/2÷99/26=13/3
Fragment 2.1 fp
1/2÷3/4÷5/3=2/5
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
8/80=1/10
Limited 1.1 fp
5/6÷15/2+1/3=4/9
Comparisons
Ceil 0.2 in
2+4 > -31+25
Ceil 0.3 in
-842÷(-2) > -840÷24
Ceil 1.2 in
-61 < 86
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
-14+74 > -30-60
Ceil 2.3 in
-726+210 < 848-597
Ceil 3.2 in
-12×(-3) > 68÷(-2)
Ceil 3.3 in
828÷(-138) > 16×(-6)
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
40.02 < 48
Point 1.2 dp
77.77 > 77.76
Point 1.3 dp
34.588 > 23
Point 1.4 dp
570 < 697.732
Point 2.2 dp
9.2+50.64 > 0.89+11.16
Point 2.3 dp
39.844-21.759 < 80.249-59.756
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
63.76÷8 > 3.18×2.5
Doted 0.1 dn
15.2+3.5 > -18-10.2
Doted 0.2 dn
-95.2÷(-1.36) > 99.6÷1.66
Doted 1.1 dn
28.1 < 33.6
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
14/3+25/39 > 49/5-347/65
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
4/5 > -1/3
Descent 1.2 fn
367/50 > -503/70
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
-x÷12-3=0
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
x+720=0
Lineal 2.2 in
x÷61=-1
Lineal 2.3 in
-x×61=-610
Lineal 3.1 in
10÷x+8=9
Lineal 3.2 in
67-70÷x=62
Lineal 4.1 in
-4×(3-x)=4
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
67.3≈67
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
20.35≈20.4
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
15.449+57.622≈73.07
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
7.42×10≈74.2
Language Exercises
Russian Vocabulary 2.4
э спрессия
English Vocabulary 3.3
s mmer
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
-203504-502786-200000=-906290
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
548078-39883+61370=569565
Conversant 3.4 in
225+(429-110)=544
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
Divisor 1.5 ip
2626293÷373=7041
Intellect 0.2 in
-105-2×220=-545
Intellect 1.2 in
-68÷4-536=-553
Intellect 2.2 in
63+141×10-594=879
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
2×30=60
Logics 2.2 in
50÷10×40=200
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
524.517-(21.608+486.975)=15.934
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
231.117+(5.773+567.584)=804.474
Split 0.3 dn
-87.46+(-90+98.79)=-78.67
Split 0.4 dn
-230+(-50-620)=-900
Split 1.3 dn
-44.39-35.61=-80
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-69.23+90.32-50.09=-29
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
-94.58-(-12-47.58)=-35
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
Residual 1.2 dp
20÷5=4
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
31.68÷5.5=5.76
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
24.48÷1.224=20
Denary 3.3 dp
24×0.004=0.096
Denary 4.2 dp
0.8×0.75÷30=0.02
Denary 4.3 dp
3.125×12.8×0.88=35.2
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
11.4+1.6÷40+43.01=54.45
Definition 1.2 dp
2÷0.8+67.5=70
Definition 1.3 dp
65.713+3.519×4=79.789
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
37.337+26.01÷15÷1.734=38.337
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
-2.88×0.25-3.2÷12.8=-0.97
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
1/3×51/19×741/17=39/1
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
330/60=11/2
Limited 0.1 fp
3/2×14/9+2/3=3/1
Limited 1.2 fp
95/3÷19/28-29/3=37/1
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-48/5+1/4÷5/2=-19/2
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
89146 < 172997
Ceil 1.4 in
115004 > -118056
Ceil 2.4 in
766099-218093 > -843637+145103
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
241.937+48.063 < 320.282+452.885
Point 2.4 dp
280.564+165.62 = 730-283.816
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
-747.155 = -747.155
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
Improper 0.3 fp
473/10 < 11159/150
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
40/9÷(-60/67) < 5/2×(-12/35)
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
Descent 3.1 fn
-2/3×(-1/2) > -1/2×(-2/9)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Lineal 0.3 in
32×(-x)=960
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-756÷(-937+x)=36
System 1.1 ip
y+x=12
Rounding
Language Exercises
Russian Vocabulary 1.5
ц ллюлоза
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
aspe t
English Vocabulary 2.4
enor ous
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
stridden [stride]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
3224×11+4536=40000
Intellect 1.3 in
-1326-40×60=-3726
Intellect 2.3 in
-2726-50×22×75=-85226
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
80÷(-20)÷(-2)=2
Logics 3.3 in
-528÷(16×(-3))=11
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
Residual 1.3 dp
63÷4=15.75
Denary 0.4 dp
718.08÷5.984=120
Denary 1.4 dp
17.25×0.004=0.069
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
51.48÷3.75=13.728
Denary 4.4 dp
0.76÷6.08÷125=0.001
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
200+0.625×8+10=215
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
-25.734+8×8.918=45.61
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
Negatory 3.3 dn
-4.8÷(-0.564-1.936)÷0.064=30
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
Residual_ENG 1.3 dp
17÷40=0.425
Fraction Examples
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
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
28/33×5797/72-5285/297=10003/198
Limited 2.2 fp
377/15×(1/6+17/78)=29/3
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
8x2=8
Quadratic 2.1 in
-8x2+80x=0
Quadratic 3.1 in
x2+9x+14=0
System 0.1 ip
x+y=13
System 1.2 ip
x+y=180
System 2.1 ip
6x÷5y=2
System 3.1 ip
10y+4x=116
Set 0.1 in
-10y×8x=800
Set 1.1 in
-x+y=-6
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-5y+5x=0
Language Exercises
English Vocabulary 1.5
respons bility
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
equ valent
Lexicon 1.5
pro essional [vocational]
Lexicon 2.4
ab ent [gone]
Infinitive 1.3
behold beheld [behold]
Infinitive 3.2
foresee [foresee]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
198×110=21780
Logics 1.4 in
-319×610=-194590
Logics 2.4 in
3600÷(-120)×(-414)=12420
Logics 3.4 in
1000÷(2000÷20)=10
Logics 4.4 in
75000÷(10×(-5))÷25=-60
Fraction Examples
Limited 0.3 fp
1/3÷19/39-77/304=131/304
Limited 2.3 fp
(367/760+93/760)×15599/598=821/52
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
Complete 2.3 fn
(-185/11-145/11)÷17640/331=-331/588
Equations
Quadratic 0.2 in
-24x2+48x=0
Quadratic 1.2 in
16x2=40000
Quadratic 2.2 in
-53x2+3710x=0
Quadratic 3.2 in
19x2-19x-38=0
System 0.2 ip
y-x=50
System 1.3 ip
x+y=760
System 2.2 ip
y×14x=43904
System 3.2 ip
89x+48y=3840
Set 0.2 in
68640x÷77y=624
Set 1.2 in
-x-y=-26
Set 2.2 in
-2160x÷72y=-60
Set 3.2 in
-5x+51y=4583
Language Exercises
Russian Vocabulary 3.5
ц линдр
English Vocabulary 3.5
fore gn
Lexicon 2.5
entert inment [amusement]
Infinitive 2.3
beset [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
2x2-540x-33488=0
Quadratic 1.3 in
930x2=9300000
Quadratic 2.3 in
240x2-26160x=0
Quadratic 3.3 in
-2x2-6x+680=0
System 0.3 ip
8x×5y=1984000
System 2.3 ip
64x×19y=2593728
System 3.3 ip
20y+13x=22499
Set 0.3 in
-162y÷27x=3
Set 1.3 in
-x+y=399
Set 2.3 in
6336x÷3y=6688
Set 3.3 in
223y-115x=-78090
Language Exercises
Infinitive 3.3
sent [send]
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