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
3+3=6
Addition #4
0+3=3
Addition #5
2+1=3
Subtraction #1
4-1=3
Subtraction #2
6-3=3
Subtraction #3
7-1=6
Subtraction #4
6-1=5
Subtraction #5
7-2=5
Subtraction #6
8-3=5
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
2+7=9
Addition #7
3+2=5
Addition #8
3+6=9
Addition #9
7+4=11
Addition #10
7-5=2
Addition #11
4+5=9
Addition #12
6+2=8
Addition #13
2+6=8
Addition #14
3+5=8
Addition #15
7+1=8
Addition #16
8+7=15
Addition #17
4+6=10
Addition #18
6+8=14
Addition #19
8+9=17
Addition #20
2-1=1
Addition #21
6+10=16
Addition #22
8+10=18
Subtraction #7
5-4=1
Subtraction #8
5-5=0
Subtraction #9
11-2=9
Subtraction #11
15-4=11
Subtraction #12
14-4=10
Subtraction #13
7-6=1
Subtraction #14
13-7=6
Subtraction #15
17-2=15
Subtraction #16
17-8=9
Subtraction #17
10-8=2
Subtraction #18
16-9=7
Subtraction #19
20-5=15
Subtraction #21
12-10=2
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
7-3=4
Beginner 1.3 ip
33+47=80
Beginner 2.3 ip
61-4=57
Beginner 3.3 ip
78+22=100
Beginner 4.2 ip
16+1-7=10
Beginner 5.1 ip
9-(10-7)=6
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
0+0=0
Addition #25
6+14=20
Addition #26
11+2=13
Addition #27
13+7=20
Addition #28
14+4=18
Addition #29
5+10=15
Addition #30
15-12=3
Addition #31
2+25=27
Addition #32
13+26=39
Addition #33
27+3=30
Subtraction #22
10-9=1
Subtraction #23
14-11=3
Subtraction #24
12-2=10
Subtraction #26
5-3=2
Subtraction #27
17-4=13
Subtraction #28
7-5=2
Subtraction #29
26-16=10
Subtraction #31
12-7=5
Subtraction #32
17-17=0
Multiplication #1
1×1=1
Multiplication #2
2×6=12
Multiplication #3
1×3=3
Division #1
7÷1=7
Comparisons
Language Exercises
Russian Vocabulary 1.1
Апрел
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
12-10=2
Beginner 1.4 ip
255+725=980
Beginner 2.4 ip
803-143=660
Beginner 3.4 ip
20+703=723
Beginner 4.3 ip
52-48+6=10
Beginner 5.2 ip
10-(12-3)=1
Cognizant 1.1 ip
1×17=17
Cognizant 2.1 ip
70÷5=14
Cognizant 3.1 ip
20÷5=4
Column 1.1 ip
72+17=89
Column 2.1 ip
90-60=30
Column 3.1 ip
20-10=10
Step-by-step Tasks
Addition #34
24+6=30
Addition #35
1+2=3
Addition #36
8+12=20
Addition #37
8+9=17
Addition #38
40+50=90
Addition #39
4+16=20
Addition #40
7+0+10=17
Subtraction #33
9-8=1
Subtraction #34
21-17=4
Subtraction #36
26-9=17
Subtraction #37
14-6=8
Subtraction #38
20-0=20
Subtraction #39
20-10=10
Multiplication #4
3×0=0
Multiplication #5
1×2=2
Multiplication #6
6×4=24
Multiplication #7
10×3=30
Multiplication #8
8×5=40
Multiplication #9
7×5=35
Multiplication #10
10×2=20
Multiplication #11
10×6=60
Multiplication #12
9×6=54
Multiplication #13
5×7=35
Multiplication #14
5×8=40
Multiplication #15
8×5=40
Multiplication #16
8×6=48
Multiplication #17
8×10=80
Multiplication #18
9×1=9
Multiplication #19
0×9=0
Multiplication #20
10×2=20
Multiplication #21
9×10=90
Division #2
2÷2=1
Division #3
7÷1=7
Division #4
12÷3=4
Division #5
12÷3=4
Division #6
24÷4=6
Division #7
4÷2=2
Division #8
25÷5=5
Division #9
18÷2=9
Division #10
5÷1=5
Division #11
42÷6=7
Division #12
10÷5=2
Division #13
63÷7=9
Division #14
54÷6=9
Division #15
20÷4=5
Division #16
32÷8=4
Division #17
60÷6=10
Division #18
81÷9=9
Division #19
45÷5=9
Division #20
80÷2=40
Division #21
80÷10=8
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
отеч ство
Russian Vocabulary 2.1
учебн к
Russian Vocabulary 3.1
к бина
English Vocabulary 2.1
act r
Lexicon 1.1
s ve [keep]
Lexicon 2.1
arro [dart]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
11+25-16=20
Beginner 4.4 ip
877+123-0=1000
Beginner 5.3 ip
87-(13+22)=52
Cognizant 0.1 ip
6÷2=3
Cognizant 1.2 ip
27×11=297
Cognizant 2.2 ip
648÷4=162
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
3×20÷2=30
Cognizant 5.1 ip
(21÷7)×3=9
Cognizant 6.1 ip
64÷(2×4)×5=40
Remainder 1.1 ip
29÷9=3(2)
Column 1.2 ip
4320+5659=9979
Column 2.2 ip
4576-1776=2800
Column 3.2 ip
1135+6196=7331
Multiplier 1.1 ip
87×9=783
Divisor 1.1 ip
16÷2=8
Numeracy 1.1 ip
21÷7+66=69
Numeracy 2.1 ip
42-40÷20+36=76
Divisor_ENG 1.1 ip
22÷2=11
Remainder_ENG 1.1 ip
47÷10=4(7)
Step-by-step Tasks
Multiplication #22
2×17=34
Multiplication #23
11×2=22
Multiplication #24
14×3=42
Multiplication #25
20×3=60
Multiplication #26
17×4=68
Multiplication #27
15×5=75
Multiplication #28
4×3=12
Multiplication #29
5×16=80
Multiplication #30
4×25=100
Multiplication #31
6×20=120
Multiplication #32
7×14=98
Multiplication #33
6×15=90
Multiplication #34
8×16=128
Multiplication #35
3×6=18
Multiplication #36
9×11=99
Multiplication #37
12×9=108
Multiplication #38
7×15=105
Multiplication #39
10×14=140
Multiplication #40
6×12=72
Division #22
10÷2=5
Division #23
0÷11=0
Division #24
24÷3=8
Division #25
26÷2=13
Division #26
76÷4=19
Division #27
70÷5=14
Division #28
24÷6=4
Division #29
54÷3=18
Division #30
60÷30=2
Division #31
114÷6=19
Division #32
21÷7=3
Division #33
66÷6=11
Division #34
88÷8=11
Division #35
60÷10=6
Division #36
9÷9=1
Division #37
60÷6=10
Division #38
260÷20=13
Division #39
7÷1=7
Division #40
63÷9=7
Comparisons
Natural 0.2 ip
11×4 > 4×2
Natural 1.3 ip
518 > 340
Natural 2.3 ip
96+250 > 67+278
Natural 3.2 ip
8×6 < 100÷2
Equations
Language Exercises
Russian Vocabulary 1.3
геогра
Russian Vocabulary 2.2
аквар ум
Russian Vocabulary 3.2
д алог
English Vocabulary 3.1
pla e
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
390+93-457=26
Beginner 1.5 ip
454839+475161=930000
Beginner 2.5 ip
688969-34501=654468
Beginner 3.5 ip
123667+740701=864368
Beginner 5.4 ip
40+(10+569)=619
Cognizant 0.2 ip
952÷34=28
Cognizant 1.3 ip
9×32=288
Cognizant 2.3 ip
3000÷20=150
Cognizant 3.3 ip
17×91=1547
Cognizant 4.2 ip
40×5÷8=25
Cognizant 5.2 ip
1000÷(400÷40)=100
Cognizant 6.2 ip
17×(39÷3)÷221=1
Remainder 1.2 ip
238÷14=17
Column 1.3 ip
448171+69500=517671
Column 2.3 ip
465293-325906=139387
Column 3.3 ip
160633+200447=361080
Multiplier 1.2 ip
9047×2=18094
Multiplier 1.3 ip
2373×47=111531
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
9×6-44=10
Numeracy 1.2 ip
36×10-294=66
Numeracy 2.2 ip
158×6+540÷20=975
Numeracy 3.1 ip
18+(2+4)×7=60
Divisor_ENG 1.2 ip
144÷9=16
Remainder_ENG 1.2 ip
28÷4=7
Comparisons
Natural 0.3 ip
740-15 > 869-389
Natural 1.4 ip
839561 > 556301
Natural 2.4 ip
121603+55410 < 998551-217256
Natural 3.3 ip
528÷6 < 16×10
Equations
Linear 0.1 ip
6÷(x+1)=2
Linear 1.3 ip
793+x=893
Linear 2.3 ip
330÷x=33
Linear 3.2 ip
5×x+40=90
Linear 4.1 ip
7÷(x-1)=7
Rounding
Language Exercises
Russian Vocabulary 2.3
микр фон
English Vocabulary 1.2
m inly
English Vocabulary 2.2
lat st
Lexicon 1.2
th m [pronoun]
Lexicon 2.2
all w [let]
Infinitive 1.1
outride outridden [outride]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
1000000-0-620000=380000
Beginner 4.5 ip
956297-3081-25816=927400
Beginner 5.5 ip
300000+(902913-209889)=993024
Conversant 1.1 in
6-8=-2
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-3-1-5=-9
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
48333×171=8264943
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
695+2000÷16÷25=700
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
(8915-4055)÷(84+78)=30
Divisor_ENG 1.3 ip
3565÷31=115
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
1+(8-5)=4
Partitive 0.2 dp
51.9+(12+34.5)=98.4
Partitive 1.1 dp
5.2+3.8=9
Partitive 1.2 dp
94.7-8.3=86.4
Partitive 2.1 dp
0.1+3+1=4.1
Partitive 2.2 dp
58.5+95.5-75.6=78.4
Partitive 3.1 dp
5.7+(4-4)=5.7
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
3×6.6=19.8
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
6.6×5=33
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
1/8+1/8=1/4
Comparisons
Natural 0.4 ip
293913÷51 > 128×26
Natural 3.4 ip
212400÷59 < 697527÷51
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
6 > -3
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-2×(-2) > 9÷3
Point 1.1 dp
32.8 < 58
Point 2.1 dp
20.8+2.3 < 1.1+29.9
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
308/61 < 83/10
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
Linear 0.2 ip
58-x=28
Linear 0.3 ip
x×90-990=0
Linear 3.3 ip
28×x+139=979
Linear 4.2 ip
(x+25)×2=76
Linear 4.3 ip
253×(x-643)=0
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
34.3-15.7≈19
Round 0.1 ip
947-335≈61
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
1117×107≈120
Round 1.3 ip
822773≈823
Round 2.2 ip
9000-7575≈14
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
228÷3≈8
Round 3.2 ip
1123×3≈34
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
вер вание
Russian Vocabulary 3.3
п рила
English Vocabulary 2.3
de erted
English Vocabulary 3.2
n nth
Lexicon 1.3
tr ding [commerce]
Infinitive 2.1
partake [partake]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-4+(-1-0)=-5
Conversant 0.2 in
-17+18-20=-19
Conversant 0.3 in
-77+23+20=-34
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-2+9+10=17
Conversant 2.3 in
-59-76+35=-100
Conversant 3.1 in
-4+(-3-3)=-10
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(16-18)+(3-20)=-19
Conversant 4.3 in
(21-93)+(18+76)=22
Cognizant 0.4 ip
742×677=502334
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
21×(318×10)=66780
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
11473÷11=1043
Intellect 0.1 in
22×2-13=31
Intellect 1.1 in
11×6+4=70
Intellect 2.1 in
34÷17-60÷6=-8
Intellect 3.1 in
(25+5)÷(64-59)=6
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
5×2=10
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
(-2×25)÷5=-10
Logics 4.1 in
80÷2÷(-2×2)=-10
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
0.88+53.43+11.69=66
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-92.4-5.7+76=-22.1
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
21.5+50.7-13.9=58.3
Split 3.1 dn
7.2+(3.9-3.6)=7.5
Split 3.2 dn
49-(37.8-73.8)=85
Residual 1.1 dp
40÷2=20
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
0.62÷2.48=0.25
Denary 3.2 dp
5.6×0.05=0.28
Denary 4.1 dp
0.8÷8×74=7.4
Denary 5.1 dp
8.8÷(72÷9)=1.1
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
16.4-35.2÷8=12
Definition 2.1 dp
17.6÷4+4×1.7=11.2
Definition 3.1 dp
50.2+(91-89.5)÷3=50.7
Negatory 1.1 dn
15÷1.5+50=60
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
44÷4=11
Divisional_ENG 1.2 dp
0.46÷0.02=23
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
189/29-182/29=7/29
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
Fragment 1.1 fp
8/5×1/4=2/5
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
-6 < 55
Ceil 1.2 in
42 > -21
Ceil 1.3 in
-969 < -818
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
-44+961 > 8+2
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
-4×(-33) > -890÷89
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
41.62-2.87 < 8.3+66.62
Point 1.2 dp
99.27 > 67.66
Point 1.3 dp
67.563 < 67.566
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
26.216+17.634 > 0.628+2.002
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
3.6÷2 < 1.44×60
Doted 0.1 dn
47.3 > -86
Doted 0.2 dn
-77.16 < 89
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
Doted 3.1 dn
-94÷(-2.5) > 75÷(-1.5)
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
7/10-1/5 > 1/5+1/5
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
544/575 < 1337/19
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
30/11×47/14 > 304/33÷64/63
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
161/60 < 239/35
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
(x-4)×3=0
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
x-20=-60
Lineal 1.3 in
894-x=139
Lineal 2.2 in
-x÷(-5)=-5
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
1-x÷5=0
Lineal 3.2 in
40÷x+4=2
Lineal 4.1 in
-4×(3-x)=4
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
90.51≈90.5
Rounding 1.3 dp
52.701≈52.7
Rounding 2.2 dp
34.25-23.94≈10.3
Rounding 2.3 dp
13.293+4.325≈17.62
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
pea eful
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
stick stuck [stick]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-287+656=369
Conversant 0.5 in
-401035-3970=-405005
Conversant 1.4 in
662-617=45
Conversant 2.4 in
-586-990+749=-827
Conversant 2.5 in
-877844-284951+810000=-352795
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
80712-(610000+352355)=-881643
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
353-10×18×4=-367
Intellect 3.2 in
600-27÷(10+17)=599
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
22×22=484
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
-2×(-33×(-10))=-660
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
9852759÷567=17377
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
537.923-16.72=521.203
Partitive 2.4 dp
9.226+380-334.3=54.926
Partitive 3.4 dp
236.131+(503.656-404.787)=335
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
-60-12=-72
Split 1.4 dn
-294.406+538.728=244.322
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
-28-94.126-493.989=-616.115
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
7.2÷15=0.48
Denary 0.3 dp
0.8×3.78=3.024
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
24.48÷1.224=20
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
67.2÷10÷0.5=13.44
Denary 4.3 dp
18×2.8×0.115=5.796
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
(2.5×0.016)÷20=0.002
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
61.76+3.2×3.2=72
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
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
(19.41+33.03)÷(89.02-87.64)=38
Negatory 0.1 dn
48×0.1+1.6÷16=4.9
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
1.8×12-5.6=16
Negatory 1.3 dn
-23.46÷93.84-89.75=-90
Negatory 2.2 dn
-10.18×4-0.56×88=-90
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-20-(0.76+23.24)÷7.5=-23.2
Residual_ENG 1.2 dp
40÷5=8
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
Numerator 0.3 fp
67481/693-(97/2-883/126)=4303/77
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
137/2-117/2-37/4=3/4
Numerator 3.3 fp
1/8+(47/392+8/539)=20/77
Denominator 0.2 fn
-15/4+27/8+5/8=1/4
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
1/2+159/2=80/1
Denominator 2.2 fn
3/4+73/20-37/5=-3/1
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
13/3×43/4=559/12
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
3/11÷3/88÷248/27=27/31
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
35/4÷(34/5-43/10)=7/2
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
Complete 1.1 fn
15/2÷60/7+61/8=17/2
Complete 1.2 fn
9/10×26/27-83/90=-1/18
Complete 2.1 fn
(15/2-3/2)÷9/5=10/3
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
0.625×26.52 < 1.216×70
Point 0.4 dp
304.188 > 297.074
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
1.5×1.2 < 0.912×41.25
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
90.929 > -81.469
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
-12.675 > -563.71
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
Improper 3.3 fp
1/4÷57/104 < 6/13×806/57
Descent 0.1 fn
1/2-1/4 < -2/9+8/9
Descent 0.2 fn
-100/17+2/1 > -4/1-6/19
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
на зусть
English Vocabulary 1.4
there ore
English Vocabulary 2.4
ord nary
Lexicon 1.4
motorc cle [moped]
Infinitive 2.2
swell [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
110÷55-5911=-5909
Intellect 2.3 in
-2726-50×22×75=-85226
Intellect 3.3 in
(800-1096)×(12+75)=-25752
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
-83×80=-6640
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
(192÷(-32))×40=-240
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
74÷2=37
Denary 0.4 dp
3×0.01=0.03
Denary 1.4 dp
4.5×0.012=0.054
Denary 2.4 dp
66.066÷9.75=6.776
Denary 3.4 dp
828×0.002=1.656
Denary 4.4 dp
74.8×13×0.055=53.482
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
93.74+(0.894+1.356)×0.02=93.785
Definition 0.4 dp
239.904÷940.8+195.996=196.251
Definition 1.4 dp
342.72÷21.76-3.758=11.992
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
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
Residual_ENG 1.3 dp
43÷25=1.72
Fraction Examples
Denominator 0.3 fn
-23984/369-(-28/41-23486/369)=-2/3
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
Limited 1.3 fp
12/299+2/9÷13/18=8/23
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
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
392/61÷(173/8+219/8)=8/61
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
2193/181 > -1663/543
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
Quadratic 0.1 in
2x2+18x=0
Quadratic 1.1 in
4x2=256
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
10y+10x=200
System 1.2 ip
y+x=76
System 2.1 ip
6x÷5y=2
System 3.1 ip
2y+5x=70
Set 0.1 in
y+3x=-24
Set 1.1 in
y-x=1
Set 2.1 in
-20y÷5x=1
Set 3.1 in
-8y-10x=180
Language Exercises
English Vocabulary 1.5
anniv rsary
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
id ntify
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
spread spread [spread]
Infinitive 3.2
premake [premake]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
(-63360÷36)÷(-44)=40
Logics 1.4 in
500×(-4)=-2000
Logics 2.4 in
380÷20×970=18430
Logics 3.4 in
-205200÷(15×24)=-570
Logics 4.4 in
416÷(-26×(-8))×(-827)=-1654
Fraction Examples
Limited 0.3 fp
1/3÷19/39-77/304=131/304
Limited 2.3 fp
(289/4-4877/68)×306/175=162/175
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
Complete 2.3 fn
5/49÷(6/119+118/357)=15/56
Equations
Quadratic 0.2 in
-4x2+60x-200=0
Quadratic 1.2 in
12x2=1200
Quadratic 2.2 in
35x2+2835x=0
Quadratic 3.2 in
-x2+120x-1100=0
System 0.2 ip
x+y=161
System 1.3 ip
x-y=285
System 2.2 ip
69x÷23y=2
System 3.2 ip
7y+40x=4263
Set 0.2 in
-90y+36x=-7560
Set 1.2 in
y-x=-100
Set 2.2 in
-260x÷2y=-871
Set 3.2 in
12x+68y=-4360
Language Exercises
Russian Vocabulary 3.5
ж рдочка
English Vocabulary 3.5
interr ption
Lexicon 2.5
distrib tion [allotment]
Infinitive 2.3
spread [spread]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
876x2-876000x=0
Quadratic 1.3 in
213x2=8520000
Quadratic 2.3 in
938x2-741020x=0
Quadratic 3.3 in
18x2-558x-1188=0
System 0.3 ip
y-x=13
System 2.3 ip
y×7x=2054808
System 3.3 ip
30y+82x=74850
Set 0.3 in
18480y÷88x=525
Set 1.3 in
-y-x=-370
Set 2.3 in
-4563x÷351y=37
Set 3.3 in
-178x-76y=150522
Language Exercises
Infinitive 3.3
forsook [forsake]
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