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
1+3=4
Addition #3
3+3=6
Addition #4
1+0=1
Addition #5
7+1=8
Subtraction #1
4-2=2
Subtraction #2
6-3=3
Subtraction #3
6-1=5
Subtraction #4
8-1=7
Subtraction #5
8-2=6
Subtraction #6
7-3=4
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
5+2=7
Addition #7
6+3=9
Addition #8
8+2=10
Addition #9
4+8=12
Addition #10
4+6=10
Addition #11
9+5=14
Addition #12
4+7=11
Addition #13
0+6=6
Addition #14
6+6=12
Addition #15
7+1=8
Addition #16
2+3=5
Addition #17
4+6=10
Addition #18
8+2=10
Addition #19
9+7=16
Addition #20
6-2=4
Addition #21
6+10=16
Addition #22
7+10=17
Subtraction #7
5-4=1
Subtraction #8
8-5=3
Subtraction #9
10-3=7
Subtraction #11
13-2=11
Subtraction #12
10-1=9
Subtraction #13
14-6=8
Subtraction #14
15-7=8
Subtraction #15
13-3=10
Subtraction #16
17-8=9
Subtraction #17
20-8=12
Subtraction #18
19-9=10
Subtraction #19
15-10=5
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
5-3=2
Beginner 1.3 ip
12+14=26
Beginner 2.3 ip
67-9=58
Beginner 3.3 ip
28+52=80
Beginner 4.2 ip
18-1-5=12
Beginner 5.1 ip
10-(7+2)=1
Step-by-step Tasks
Addition #23
10+10=20
Addition #24
0+0=0
Addition #25
11-10=1
Addition #26
22+4=26
Addition #27
3+10=13
Addition #28
14+11=25
Addition #29
20+10=30
Addition #30
14+16=30
Addition #31
0+25=25
Addition #32
6+11=17
Addition #33
3+17=20
Subtraction #22
8-6=2
Subtraction #23
10-1=9
Subtraction #24
17-2=15
Subtraction #26
11-3=8
Subtraction #27
11-4=7
Subtraction #28
19-5=14
Subtraction #29
7-6=1
Subtraction #31
16-7=9
Subtraction #32
11-1=10
Multiplication #1
1×2=2
Multiplication #2
2×4=8
Multiplication #3
10×2=20
Division #1
9÷1=9
Comparisons
Language Exercises
Russian Vocabulary 1.1
б рлога
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
12-9=3
Beginner 1.4 ip
2+5=7
Beginner 2.4 ip
705-207=498
Beginner 3.4 ip
20+703=723
Beginner 4.3 ip
21+20+36=77
Beginner 5.2 ip
18-(7+8)=3
Cognizant 1.1 ip
11×4=44
Cognizant 2.1 ip
92÷23=4
Cognizant 3.1 ip
9×3=27
Column 1.1 ip
52+44=96
Column 2.1 ip
57-26=31
Column 3.1 ip
78-23=55
Step-by-step Tasks
Addition #34
2+8=10
Addition #35
28+2=30
Addition #36
8+13=21
Addition #37
2+9=11
Addition #38
80+0=80
Addition #39
39+11=50
Addition #40
7+0+10=17
Subtraction #33
20-8=12
Subtraction #34
21-17=4
Subtraction #36
12-9=3
Subtraction #37
3-0=3
Subtraction #38
37-17=20
Subtraction #39
50-10=40
Multiplication #4
3×1=3
Multiplication #5
10×2=20
Multiplication #6
4×7=28
Multiplication #7
10×1=10
Multiplication #8
1×5=5
Multiplication #9
7×5=35
Multiplication #10
10×2=20
Multiplication #11
6×2=12
Multiplication #12
8×6=48
Multiplication #13
3×7=21
Multiplication #14
1×6=6
Multiplication #15
5×2=10
Multiplication #16
1×8=8
Multiplication #17
8×10=80
Multiplication #18
4×9=36
Multiplication #19
0×9=0
Multiplication #20
10×2=20
Multiplication #21
10×2=20
Division #2
14÷2=7
Division #3
7÷1=7
Division #4
27÷3=9
Division #5
12÷3=4
Division #6
12÷4=3
Division #7
4÷4=1
Division #8
45÷5=9
Division #9
0÷5=0
Division #10
5÷1=5
Division #11
24÷6=4
Division #12
18÷6=3
Division #13
28÷7=4
Division #14
70÷7=10
Division #15
70÷7=10
Division #16
0÷8=0
Division #17
60÷6=10
Division #18
45÷9=5
Division #19
45÷5=9
Division #20
30÷3=10
Division #21
80÷10=8
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
г гант
Russian Vocabulary 2.1
вас лёк
Russian Vocabulary 3.1
наш л
Lexicon 1.1
pot [blot]
Lexicon 2.1
pl yer [gambler]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
84+(95-82)=97
Beginner 4.4 ip
936-41-35=860
Beginner 5.3 ip
76-(4+40)=32
Cognizant 0.1 ip
35×2=70
Cognizant 1.2 ip
28×19=532
Cognizant 2.2 ip
618÷6=103
Cognizant 3.2 ip
939÷3=313
Cognizant 4.1 ip
20÷5×3=12
Cognizant 5.1 ip
(18÷3)÷2=3
Cognizant 6.1 ip
90÷3÷(3×2)=5
Remainder 1.1 ip
60÷9=6(6)
Column 1.2 ip
4488+3854=8342
Column 2.2 ip
3693-2393=1300
Column 3.2 ip
6648-1648=5000
Multiplier 1.1 ip
27×4=108
Divisor 1.1 ip
28÷2=14
Numeracy 1.1 ip
21÷7+66=69
Numeracy 2.1 ip
26+14÷7+10=38
Divisor_ENG 1.1 ip
84÷7=12
Remainder_ENG 1.1 ip
38÷4=9(2)
Step-by-step Tasks
Multiplication #22
12×2=24
Multiplication #23
11×6=66
Multiplication #24
14×3=42
Multiplication #25
20×3=60
Multiplication #26
17×4=68
Multiplication #27
12×5=60
Multiplication #28
12×3=36
Multiplication #29
20×5=100
Multiplication #30
5×16=80
Multiplication #31
6×20=120
Multiplication #32
10×7=70
Multiplication #33
9×15=135
Multiplication #34
19×8=152
Multiplication #35
2×21=42
Multiplication #36
9×11=99
Multiplication #37
5×21=105
Multiplication #38
20×8=160
Multiplication #39
20×8=160
Multiplication #40
10×11=110
Division #22
16÷2=8
Division #23
0÷11=0
Division #24
24÷3=8
Division #25
2÷2=1
Division #26
56÷4=14
Division #27
75÷5=15
Division #28
24÷6=4
Division #29
32÷2=16
Division #30
60÷30=2
Division #31
60÷6=10
Division #32
112÷7=16
Division #33
72÷4=18
Division #34
160÷8=20
Division #35
25÷5=5
Division #36
9÷9=1
Division #37
98÷7=14
Division #38
490÷10=49
Division #39
7÷1=7
Division #40
40÷5=8
Comparisons
Natural 0.2 ip
27+6 > 4+2
Natural 1.3 ip
852 > 850
Natural 2.3 ip
671-177 = 980-486
Natural 3.2 ip
26÷2 > 80÷10
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-108=656
Beginner 1.5 ip
71167+78833=150000
Beginner 2.5 ip
668531-18531=650000
Beginner 3.5 ip
123667+740701=864368
Beginner 5.4 ip
306+(286+124)=716
Cognizant 0.2 ip
892÷4=223
Cognizant 1.3 ip
77×52=4004
Cognizant 2.3 ip
5600÷20=280
Cognizant 3.3 ip
21×30=630
Cognizant 4.2 ip
30×20÷24=25
Cognizant 5.2 ip
(25×40)÷20=50
Cognizant 6.2 ip
39÷13×(25×2)=150
Remainder 1.2 ip
238÷14=17
Column 1.3 ip
157000+281637=438637
Column 2.3 ip
820119-816514=3605
Column 3.3 ip
294903+350000=644903
Multiplier 1.2 ip
8600×7=60200
Multiplier 1.3 ip
1000×72=72000
Divisor 1.2 ip
760÷5=152
Numeracy 0.1 ip
40÷10+69=73
Numeracy 1.2 ip
900÷10-46=44
Numeracy 2.2 ip
579-132÷6-56=501
Numeracy 3.1 ip
92-(3+5)×9=20
Divisor_ENG 1.2 ip
395÷5=79
Remainder_ENG 1.2 ip
124÷18=6(16)
Comparisons
Natural 0.3 ip
630+105 > 131+200
Natural 1.4 ip
188319 < 188327
Natural 2.4 ip
624432-151195 < 677301+70597
Natural 3.3 ip
594÷27 < 776÷4
Equations
Linear 0.1 ip
5×(x-7)=5
Linear 1.3 ip
x+296=576
Linear 2.3 ip
897÷x=299
Linear 3.2 ip
78÷x-1=1
Linear 4.1 ip
2×(1+x)=10
Rounding
Language Exercises
Russian Vocabulary 2.3
обн вление
English Vocabulary 1.2
range
Lexicon 1.2
re r [background]
Lexicon 2.2
wid [broad]
Infinitive 1.1
backslide backslid [backslide]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
783110+162887-150397=795600
Beginner 4.5 ip
354281+581405-260651=675035
Beginner 5.5 ip
164557+(680688-405731)=439514
Conversant 1.1 in
7-7=0
Conversant 1.5 in
522813-313961=208852
Conversant 2.1 in
-10+7-7=-10
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
4×3×(23×11)=3036
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
7826÷13=602
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
4704÷28+2280÷760=171
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
(57+103)÷(770-754)=10
Numeracy 3.3 ip
(598-570)×(21+22)=1204
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
318÷20=15(18)
Decimal Examples
Partitive 0.1 dp
9.7-7.2+4.1=6.6
Partitive 0.2 dp
38.6-18.2=20.4
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
2-1.7+8=8.3
Partitive 2.2 dp
58.5+95.5-75.6=78.4
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
65.9-(42.6-2)=25.3
Divisional 1.1 dp
30.6÷8.5=3.6
Denary 1.1 dp
7×3.6=25.2
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
35.2÷8.8=4
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
114×7 > 3×4
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
-5 > -6
Ceil 2.1 in
2-4 < 7+3
Ceil 3.1 in
2×(-5) < 4×(-2)
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
8/9 > 1/6
Improper 1.2 fp
361/37 = 361/37
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
93×x=651
Linear 3.3 ip
971-58×x=159
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
-x+10=2
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
13.2≈13
Rounding 2.1 dp
92.4-11.3≈81
Round 0.1 ip
986-19≈97
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
250235≈250
Round 1.3 ip
809804≈810
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
480880-1191≈480
Round 3.1 ip
5×43≈22
Round 3.2 ip
358×25≈90
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
ори нтир
Russian Vocabulary 3.3
прис гать
English Vocabulary 1.3
th rteen
English Vocabulary 2.3
contin e
English Vocabulary 3.2
n nth
Lexicon 1.3
dis olve [melt]
Infinitive 2.1
outrode [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
90-20=70
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
-7+14-37=-30
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
-10-(-3-6)=-1
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
-(12+10)+(16+5)=-1
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
505×408=206040
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
676804÷148=4573
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
(250000÷5)÷250=200
Cognizant 6.4 ip
200×38÷(190×4)=10
Multiplier 1.5 ip
7734×7000=54138000
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-33+6÷2=-30
Intellect 1.1 in
-29-24÷12=-31
Intellect 2.1 in
23+24÷4+41=70
Intellect 3.1 in
(6-66)÷(-2-4)=10
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
-7×8=-56
Logics 2.1 in
4×2×8=64
Logics 3.1 in
(60÷4)×(-2)=-30
Logics 4.1 in
64÷(-2×4)÷4=-2
Divisor_ENG 1.4 ip
73374÷21=3494
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
77.66-41.09+38.06=74.63
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
2-9.3=-7.3
Split 0.2 dn
-65.5-19.4=-84.9
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
0.3-88.7+77.4=-11
Split 3.1 dn
5.2-(8+1.7)=-4.5
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
27÷2=13.5
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
3.84÷4.8=0.8
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
72÷(4.5×6.4)=2.5
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
1.2-0.5×0.4=1
Definition 2.1 dp
17.6÷4+4×1.7=11.2
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
69÷2=34.5
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
4/9+2/9+1/6=5/6
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
3/5+1/5+1/10=9/10
Numerator 2.2 fp
7/16+1/16+29/10=17/5
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-3/8+3/4=3/8
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
3/5×7/3=7/5
Fragment 1.2 fp
3/13×1456/33=112/11
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
10/16=5/8
Reduction 1.2 fp
828/24=69/2
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
Ceil 0.2 in
2×20 > 72÷3
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
43 > 16
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
-45-5 < -40-9
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
80.2 > 13.27
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
950.553 > 56.38
Point 2.2 dp
2.79+2.8 < 65.46-45.46
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
87÷5.8 > 0.5×20.8
Point 3.2 dp
85÷17 < 90.09÷6.93
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-54.66 < 6
Doted 1.1 dn
-66.5 < 30.1
Doted 1.2 dn
87.32 > 87.31
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
1/5 < 7/10
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
23/627+4/627 < 577/68+2929/340
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
Improper 3.2 fp
3/46×4/3 < 385/46×31/55
Descent 1.1 fn
-6/7 < 2/5
Descent 1.2 fn
485/62 < 279/34
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
68-x=-2
Lineal 1.3 in
-x-561=409
Lineal 2.2 in
-2×x=-84
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
1-x÷5=0
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
8.9+70.8≈80
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
99.06≈99.1
Rounding 1.3 dp
24.999≈25
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
79.659-59.158≈20.5
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
cl mbing
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
overshoot overshot [overshoot]
Infinitive 3.1
feed [feed]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
662-617=45
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
-821-(-206+65)=-680
Conversant 3.5 in
181625-(-153365-643000)=977990
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
20000÷100=200
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
450÷30+259=274
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
320÷(16÷2)÷10=4
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
50÷10×40=200
Logics 3.2 in
-2×(-33×(-10))=-660
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
565.197+232.946=798.143
Partitive 1.4 dp
359.879+246.465=606.344
Partitive 2.4 dp
509.214-310.291+180.124=379.047
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
Split 0.3 dn
-47+23+77.37=53.37
Split 0.4 dn
140+90=230
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
-112.271+452.92=340.649
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
448.696-466.3+31.2=13.596
Split 3.3 dn
20-(-24.4-29)=73.4
Split 3.4 dn
-61+(-301.573-215.315)=-577.888
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
10.368÷32=0.324
Denary 0.2 dp
17.28÷28.8=0.6
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
1.25×2.4=3
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
4.05×0.2=0.81
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
4.8×6.5×2.25=70.2
Denary 5.2 dp
4.32÷(0.72×60)=0.1
Denary 5.3 dp
1.2÷(100÷2)=0.024
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
36.9×2.71-1.499=98.5
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
60÷(-0.5-0.3)÷50=-1.5
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-2.6+7×0.8=3
Negatory 1.3 dn
-30.444+0.792×64=20.244
Negatory 2.2 dn
67.32+1.44×10÷2.5=73.08
Negatory 2.3 dn
-4.788÷0.672+1.44÷22.5=-7.061
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
90÷5=18
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
3/11+8403/869=8640/869
Numerator 1.3 fp
53/13+77/13=10/1
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
1/5×408/5=408/25
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
(1/2÷3/2)÷3/8=8/9
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
95/3÷19/28-29/3=37/1
Limited 2.1 fp
(3/8+1/8)÷2/3=3/4
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
Complete 1.1 fn
9/2-1/3×9/2=3/1
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
(-48/5-2/5)×1/10=-1/1
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
150146+91754 > 467574-711419
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
70.062-9.497 > 27.029+9.946
Point 0.4 dp
799.414 > 530.701
Point 2.4 dp
860.973-709.01 < 129.424+22.543
Point 3.3 dp
0.75×29.44 < 18.785×4.8
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
310 > -487.701
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
5/1-284/65 > -1/3-1/15
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
на зусть
English Vocabulary 1.4
rema ning
English Vocabulary 2.4
men ion
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
underwrite [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-5067-264÷88=-5070
Intellect 1.3 in
140+2304÷24=236
Intellect 2.3 in
29600+1200×54÷27=32000
Intellect 3.3 in
(-2300-35200)÷(6582-6585)=12500
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
-50×(-93)=4650
Logics 2.3 in
-3×(-250)÷(-50)=-15
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
9÷24=0.375
Denary 0.4 dp
167.552÷152.32=1.1
Denary 1.4 dp
8.1×27.2=220.32
Denary 2.4 dp
15.288÷3=5.096
Denary 3.4 dp
2.4×12.09=29.016
Denary 4.4 dp
194.4÷64.8÷4.8=0.625
Denary 5.4 dp
(810÷28.125)×0.25=7.2
Definition 0.3 dp
42.84÷4.284+20.586=30.586
Definition 0.4 dp
774.02-200÷62.5=770.82
Definition 1.4 dp
867.991-24÷15.625=866.455
Definition 2.4 dp
589.171+0.9÷36×490=601.421
Definition 3.3 dp
40.04-(2.006+1.354)÷84=40
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
Negatory 0.3 dn
-0.78×54+58.046=15.926
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
673.92÷6.5+124.249=227.929
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
(11.044+1.756)×(-51.194-11.306)=-800
Residual_ENG 1.3 dp
11÷88=0.125
Fraction Examples
Denominator 0.3 fn
-23984/369-(-28/41-23486/369)=-2/3
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
387/11+1/4×564/11=48/1
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
Complete 2.2 fn
(3/8+69/8)×1/9=1/1
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
-17.64×16 < 12.5×(-20)
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-14/3÷721/150 < 514/7×(-7/771)
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
6x2=216
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
x2-8x+12=0
System 0.1 ip
4y+9x=113
System 1.2 ip
x+y=105
System 2.1 ip
720x÷3y=800
System 3.1 ip
10x+4y=140
Set 0.1 in
2x+6y=12
Set 1.1 in
y+x=-1
Set 2.1 in
-20y÷5x=1
Set 3.1 in
10y+4x=128
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
respons bility
English Vocabulary 2.5
artifi ially
English Vocabulary 3.4
equ valent
Lexicon 1.5
comm nicate [give]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
underspend underspent [underspend]
Infinitive 3.2
sat [sit]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
500×(-200)÷800=-125
Logics 1.4 in
-3960÷88=-45
Logics 2.4 in
-63×(-159)×41=410697
Logics 3.4 in
1080÷(-180÷60)=-360
Logics 4.4 in
364800÷(-20)÷(12×(-40))=38
Fraction Examples
Limited 0.3 fp
1/3×7/3-1/36=3/4
Limited 2.3 fp
(47/128+1/128)÷3/536=67/1
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
Quadratic 0.2 in
7x2=15463
Quadratic 1.2 in
30x2=60750
Quadratic 2.2 in
-61x2-1220x=0
Quadratic 3.2 in
-x2-76x-960=0
System 0.2 ip
x-y=20
System 1.3 ip
y-x=118
System 2.2 ip
140y÷30x=35
System 3.2 ip
55y+44x=6490
Set 0.2 in
y-x=43
Set 1.2 in
y-x=-100
Set 2.2 in
-260x÷2y=-871
Set 3.2 in
-33x-5y=-2830
Language Exercises
Russian Vocabulary 3.5
ц линдр
English Vocabulary 3.5
interr ption
Lexicon 2.5
ind pendence [liberty]
Infinitive 2.3
light [light]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
876x2-876000x=0
Quadratic 1.3 in
117x2=4916925
Quadratic 2.3 in
-370x2-335590x=0
Quadratic 3.3 in
-9x2-72x-144=0
System 0.3 ip
x+y=800
System 2.3 ip
11y×2x=5017320
System 3.3 ip
76y+44x=86172
Set 0.3 in
-x-y=236
Set 1.3 in
y-x=-205
Set 2.3 in
-2x×8y=-3008000
Set 3.3 in
-53y-683x=65307
Language Exercises
Infinitive 3.3
forgo [forgo]
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