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
4+1=5
Addition #2
2+3=5
Addition #3
1+4=5
Addition #4
1+0=1
Addition #5
2+1=3
Subtraction #1
4-1=3
Subtraction #2
2-1=1
Subtraction #3
7-1=6
Subtraction #4
4-1=3
Subtraction #5
2-2=0
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
3+7=10
Addition #9
4+1=5
Addition #10
4+6=10
Addition #11
5+9=14
Addition #12
6+2=8
Addition #13
6+5=11
Addition #14
3+9=12
Addition #15
7+1=8
Addition #16
9+1=10
Addition #17
7+1=8
Addition #18
6+8=14
Addition #19
9+7=16
Addition #20
6-2=4
Addition #21
10+6=16
Addition #22
6+8=14
Subtraction #7
5-4=1
Subtraction #8
6-5=1
Subtraction #9
10-3=7
Subtraction #11
11-1=10
Subtraction #12
14-2=12
Subtraction #13
13-6=7
Subtraction #14
16-7=9
Subtraction #15
7-2=5
Subtraction #16
15-8=7
Subtraction #17
11-8=3
Subtraction #18
18-9=9
Subtraction #19
15-0=15
Subtraction #21
14-10=4
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
10+(9-9)=10
Beginner 1.3 ip
30+57=87
Beginner 2.3 ip
75-21=54
Beginner 3.3 ip
65-20=45
Beginner 4.2 ip
6+8-2=12
Beginner 5.1 ip
1+(9-7)=3
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
3+2=5
Addition #25
6+14=20
Addition #26
22+4=26
Addition #27
13+7=20
Addition #28
4+11=15
Addition #29
10+15=25
Addition #30
19+19=38
Addition #31
0+25=25
Addition #32
14+16=30
Addition #33
5+27=32
Subtraction #22
15-8=7
Subtraction #23
19-11=8
Subtraction #24
12-2=10
Subtraction #26
19-13=6
Subtraction #27
17-4=13
Subtraction #28
12-5=7
Subtraction #29
7-6=1
Subtraction #31
11-7=4
Subtraction #32
16-6=10
Multiplication #1
1×5=5
Multiplication #2
1×2=2
Multiplication #3
1×3=3
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
мес ц
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
20-2=18
Beginner 1.4 ip
126+347=473
Beginner 2.4 ip
705-207=498
Beginner 3.4 ip
256+16=272
Beginner 4.3 ip
38+62-13=87
Beginner 5.2 ip
1+(3+13)=17
Cognizant 1.1 ip
4×10=40
Cognizant 2.1 ip
78÷39=2
Cognizant 3.1 ip
30÷10=3
Column 1.1 ip
68+11=79
Column 2.1 ip
91-45=46
Column 3.1 ip
16+80=96
Step-by-step Tasks
Addition #34
12+8=20
Addition #35
27-22=5
Addition #36
8+3=11
Addition #37
19+12=31
Addition #38
10+30=40
Addition #39
27+23=50
Addition #40
7+0+10=17
Subtraction #33
27-8=19
Subtraction #34
24-14=10
Subtraction #36
19-9=10
Subtraction #37
14-11=3
Subtraction #38
37-17=20
Subtraction #39
50-10=40
Multiplication #4
3×1=3
Multiplication #5
2×1=2
Multiplication #6
4×10=40
Multiplication #7
2×0=0
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
5×7=35
Multiplication #14
4×3=12
Multiplication #15
5×4=20
Multiplication #16
8×4=32
Multiplication #17
1×5=5
Multiplication #18
9×6=54
Multiplication #19
6×3=18
Multiplication #20
5×8=40
Multiplication #21
3×10=30
Division #2
16÷2=8
Division #3
12÷2=6
Division #4
6÷3=2
Division #5
2÷1=2
Division #6
8÷4=2
Division #7
3÷1=3
Division #8
45÷5=9
Division #9
0÷4=0
Division #10
50÷5=10
Division #11
42÷6=7
Division #12
6÷6=1
Division #13
56÷7=8
Division #14
54÷6=9
Division #15
15÷3=5
Division #16
64÷8=8
Division #17
24÷8=3
Division #18
45÷9=5
Division #19
72÷8=9
Division #20
30÷3=10
Division #21
100÷10=10
Comparisons
Equations
Language Exercises
Russian Vocabulary 2.1
снова
Russian Vocabulary 3.1
наш л
English Vocabulary 2.1
lmost
Lexicon 1.1
e t [ingest]
Lexicon 2.1
h r [pronoun]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
12+(50+36)=98
Beginner 4.4 ip
220+448-18=650
Beginner 5.3 ip
96-(13+40)=43
Cognizant 0.1 ip
35×2=70
Cognizant 1.2 ip
37×19=703
Cognizant 2.2 ip
390÷13=30
Cognizant 3.2 ip
810÷3=270
Cognizant 4.1 ip
28÷4÷7=1
Cognizant 5.1 ip
27÷(3×3)=3
Cognizant 6.1 ip
4÷2×(10×4)=80
Remainder 1.1 ip
50÷5=10
Column 1.2 ip
8129+385=8514
Column 2.2 ip
7149-4065=3084
Column 3.2 ip
9000+1000=10000
Multiplier 1.1 ip
14×7=98
Divisor 1.1 ip
92÷4=23
Numeracy 1.1 ip
68÷34+68=70
Numeracy 2.1 ip
58+45÷3-43=30
Divisor_ENG 1.1 ip
22÷2=11
Remainder_ENG 1.1 ip
48÷5=9(3)
Step-by-step Tasks
Multiplication #22
12×2=24
Multiplication #23
4×11=44
Multiplication #24
3×11=33
Multiplication #25
3×15=45
Multiplication #26
16×4=64
Multiplication #27
15×5=75
Multiplication #28
12×1=12
Multiplication #29
20×5=100
Multiplication #30
5×16=80
Multiplication #31
11×6=66
Multiplication #32
14×7=98
Multiplication #33
6×15=90
Multiplication #34
19×8=152
Multiplication #35
16×5=80
Multiplication #36
11×9=99
Multiplication #37
24×5=120
Multiplication #38
10×16=160
Multiplication #39
20×8=160
Multiplication #40
19×8=152
Division #22
14÷2=7
Division #23
0÷11=0
Division #24
24÷3=8
Division #25
48÷3=16
Division #26
32÷4=8
Division #27
40÷5=8
Division #28
24÷6=4
Division #29
21÷3=7
Division #30
0÷20=0
Division #31
60÷6=10
Division #32
119÷7=17
Division #33
56÷7=8
Division #34
32÷8=4
Division #35
60÷10=6
Division #36
90÷9=10
Division #37
28÷7=4
Division #38
490÷10=49
Division #39
72÷8=9
Division #40
40÷5=8
Comparisons
Natural 0.2 ip
20 > 18
Natural 1.3 ip
403 > 234
Natural 2.3 ip
53+52 < 911-217
Natural 3.2 ip
35÷7 < 80÷5
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
0+111=111
Beginner 1.5 ip
71167+78833=150000
Beginner 2.5 ip
688969-34501=654468
Beginner 3.5 ip
949282-152711=796571
Beginner 5.4 ip
958-(34+243)=681
Cognizant 0.2 ip
892÷4=223
Cognizant 1.3 ip
100×70=7000
Cognizant 2.3 ip
2826÷18=157
Cognizant 3.3 ip
4200÷2=2100
Cognizant 4.2 ip
30×20÷24=25
Cognizant 5.2 ip
1000÷(400÷40)=100
Cognizant 6.2 ip
800÷2÷(5×8)=10
Remainder 1.2 ip
26÷4=6(2)
Column 1.3 ip
347811+402227=750038
Column 2.3 ip
820119-816514=3605
Column 3.3 ip
497867-443120=54747
Multiplier 1.2 ip
7925×4=31700
Multiplier 1.3 ip
1900×26=49400
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
(41-37)×(10+5)=60
Numeracy 1.2 ip
36×10-294=66
Numeracy 2.2 ip
724÷2-40÷20=360
Numeracy 3.1 ip
46+36÷(4-2)=64
Divisor_ENG 1.2 ip
532÷2=266
Remainder_ENG 1.2 ip
35÷5=7
Comparisons
Natural 0.3 ip
2×24 < 4×19
Natural 1.4 ip
400000 > 399995
Natural 2.4 ip
896896+1845 > 248368+47602
Natural 3.3 ip
2×5 < 8×9
Equations
Linear 0.1 ip
4+x=9
Linear 1.3 ip
459+x=569
Linear 2.3 ip
x×200=1000
Linear 3.2 ip
92-46÷x=90
Linear 4.1 ip
(x-1)×5=10
Rounding
Language Exercises
Russian Vocabulary 2.3
акац я
English Vocabulary 1.2
th rty
Lexicon 1.2
s xth [count]
Lexicon 2.2
l ss [privation]
Infinitive 1.1
outride outrode [outride]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
40000+955560=995560
Beginner 4.5 ip
863536-538372+354836=680000
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
4-3=1
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
8+0-9=-1
Cognizant 0.3 ip
1520÷19=80
Cognizant 4.3 ip
7×19×20=2660
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
7000÷350+7117=7137
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
(46+299)÷(21+2)=15
Numeracy 3.3 ip
(8915-4055)÷(84+78)=30
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
472÷93=5(7)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
1.6+8.4=10
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
58.5+95.5-75.6=78.4
Partitive 3.1 dp
2.2+(2+1.3)=5.5
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
19.8÷1.8=11
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
4×8.8=35.2
Divisional_ENG 1.1 dp
23.4÷0.4=58.5
Fraction Examples
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
Natural 0.4 ip
703962-603037 > 746779-645871
Natural 3.4 ip
729615÷127 < 288×75
Ceil 0.1 in
7 > -2
Ceil 1.1 in
-8 < 6
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
78.7 > 29.7
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
3/5 < 1/1
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
9/10-1/10 > 4/5-2/5
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
28×x+139=979
Linear 4.2 ip
2×(x+16)=52
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
10+x=10
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
28.9≈29
Rounding 2.1 dp
2.8+54.2≈57
Round 0.1 ip
111+141≈25
Round 0.2 ip
304+2279≈26
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
244144≈244
Round 2.2 ip
9109+131≈92
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
988÷13≈8
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
н верное
English Vocabulary 1.3
cr am
Lexicon 1.3
chick n [hen]
Infinitive 2.1
see [see]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7-(-4-2)=-1
Conversant 0.2 in
-20+5=-15
Conversant 0.3 in
(13+80)+(70-100)=63
Conversant 1.2 in
1+9=10
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
-4-94-1=-99
Conversant 3.1 in
4-(6+1)=-3
Conversant 3.2 in
-11-(-7-14)=10
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
(10+5)+(1-9)=7
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(7+20)-(2-68)=39
Cognizant 0.4 ip
505×408=206040
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
53760÷1792=30
Cognizant 3.4 ip
450000÷150=3000
Cognizant 4.4 ip
222000÷5÷6=7400
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
417×32×(66÷22)=40032
Multiplier 1.5 ip
71200×1008=71769600
Divisor 1.4 ip
95559÷53=1803
Intellect 0.1 in
10+20÷10=12
Intellect 1.1 in
8-32÷4=0
Intellect 2.1 in
-9-7×3-43=-73
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
-50÷5=-10
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
10×(-2×(-3))=60
Logics 4.1 in
-4×(2×6)÷3=-16
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
77-55.38+39.66=61.28
Partitive 3.3 dp
8.06+(27.11-0)=35.17
Split 0.1 dn
-3.9-(0.8+4.8)=-9.5
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
1.4+3.9=5.3
Split 1.2 dn
-79.3+7.8=-71.5
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-54.8-5.1+18=-41.9
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
18.8-(68.8-91.3)=41.3
Residual 1.1 dp
47÷5=9.4
Divisional 1.2 dp
2.16÷2=1.08
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
0.96÷0.8=1.2
Denary 3.2 dp
6.84÷7.2=0.95
Denary 4.1 dp
10.5×6×0.4=25.2
Denary 5.1 dp
(48.7÷97.4)×10.4=5.2
Definition 0.1 dp
0.5×(100-98)×1.6=1.6
Definition 1.1 dp
30.4+3.6÷9=30.8
Definition 2.1 dp
6×0.5+3.6÷1.2=6
Definition 3.1 dp
62.6÷(4.8-2.8)÷62.6=0.5
Negatory 1.1 dn
25.1+7.5×3.6=52.1
Negatory 2.1 dn
-9.8×2.5-5.7÷3.8=-26
Residual_ENG 1.1 dp
74÷5=14.8
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
7/9-4/9+1/2=5/6
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
1/5+(4/5-2/7)=5/7
Numerator 3.2 fp
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
1/4+1/4+1/8=5/8
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
9/2÷21/4=6/7
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
873 > -188
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
-520 < 700
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
24+386 < 138+529
Ceil 3.2 in
2×6 > 84÷12
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
22.8÷6 = 0.5×7.6
Point 0.2 dp
31.69+5.5 > 63-25.82
Point 1.2 dp
79.92 > 79.9
Point 1.3 dp
42.354 < 42.371
Point 1.4 dp
685.07 > 400
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
87.041-0.599 > 0.046+0.028
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
85÷17 < 90.09÷6.93
Doted 0.1 dn
0.8×(-37.5) = -90÷3
Doted 0.2 dn
72.72÷(-2.02) > -39×1.38
Doted 1.1 dn
21.5 > -92
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
Doted 3.1 dn
6.4×13.5 > 6×12.8
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
69/11 < 46/5
Improper 1.3 fp
2616/43 > 411/11
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
Descent 1.1 fn
9/10 > 5/6
Descent 1.2 fn
-17/2 > -9/1
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
3×(-x-8)=0
Lineal 0.2 in
-x÷12-3=0
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
-58÷(-x)=2
Lineal 2.3 in
-760÷x=76
Lineal 3.1 in
-3-x÷5=-5
Lineal 3.2 in
-40+x×2=92
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
2×(71+x)=-30
Rounding
Rounding 0.1 dp
8.9+70.8≈80
Rounding 0.2 dp
45.56-11.54≈34
Rounding 1.2 dp
61.35≈61.4
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
93.215-14.163≈79.05
Rounding 3.1 dp
54.7÷24≈2
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
Russian Vocabulary 2.4
эт кет
English Vocabulary 3.3
se ing
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
overspill overspilt [overspill]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(2+338)+(202-832)=-970
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
-325759+772245-446486=0
Conversant 3.4 in
15-(-506-450)=971
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
-423-21÷3×81=-990
Intellect 1.2 in
760÷40-470=-451
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
(-30-11)×(-8-7)=615
Logics 0.2 in
-17×25=-425
Logics 1.2 in
-36÷(-4)=9
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
36÷(-12÷2)=-6
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
575.157-111.661+378.05=841.546
Partitive 1.4 dp
210-92=118
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
140+90=230
Split 1.3 dn
29.75+40.32=70.07
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-35.09+20.59-79.31=-93.81
Split 2.4 dn
229.33+405.892-147.64=487.582
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
-61+(-301.573-215.315)=-577.888
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
31.68÷5.5=5.76
Denary 1.3 dp
0.736×20=14.72
Denary 2.3 dp
61.425÷39=1.575
Denary 3.3 dp
79.596÷4.752=16.75
Denary 4.2 dp
0.8×0.75÷30=0.02
Denary 4.3 dp
3.84×0.75×33.6=96.768
Denary 5.2 dp
4.32÷(0.72×60)=0.1
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
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
1.445÷10.625+61.473=61.609
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
Negatory 1.3 dn
2.25×18.88+9.439=51.919
Negatory 2.2 dn
8.07-12×6.25-3.69=-70.62
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
11÷20=0.55
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
18/11+37/11+8054/491=10509/491
Numerator 1.3 fp
74/7-29/63=91/9
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
-1022/23+87/2=-43/46
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
1855/43×(2/3÷5/3)=742/43
Fragment 1.3 fp
1/5×408/5=408/25
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
Fragment 2.3 fp
1/2×52/29×3/26=3/29
Fragment 3.1 fp
13/9÷(8/3÷16/3)=26/9
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
2750/6650=55/133
Limited 0.1 fp
35/4÷(34/5-43/10)=7/2
Limited 1.2 fp
82/3+138/5÷207/40=98/3
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
-1/2×17/5+17/2=34/5
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
766099-218093 > -843637+145103
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
3.096×20 > 896.382÷18
Point 2.4 dp
206+587.489 < 972.414-40.879
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
31.482+33.017 > -55.968+57.937
Doted 1.3 dn
-96.706 < 88
Doted 1.4 dn
-747.155 = -747.155
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
912.177-165.665 > -198.215-296.362
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
544/891+55534/891 > 725/18-2777/126
Improper 3.3 fp
11/47÷11/842 > 201/235÷134/155
Descent 0.1 fn
-8/9 < 3/4
Descent 0.2 fn
67/72 > -3/5
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
-73/19+352/57 > -22/27-16/9
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
Rounding
Language Exercises
Russian Vocabulary 1.5
б рельеф
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
est blish
English Vocabulary 2.4
appr ving
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
overspill [overspill]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
-2726-50×22×75=-85226
Intellect 3.3 in
(-2300-35200)÷(6582-6585)=12500
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
100×25=2500
Logics 2.3 in
-3×(-250)÷(-50)=-15
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
9÷3.75×78.02=187.248
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
1.28×250×0.125=40
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
29.971-(50.44-50.34)×0.36=29.935
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
Definition 1.4 dp
3.52×0.05+530.528=530.704
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
(38.552-37.202)×(10+21.2)=42.12
Definition 3.4 dp
769.975+0.72÷(933-904.2)=770
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
Doted 0.4 dn
-263.871-336.129 < 196.831+403.169
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
4x2+8x=0
Quadratic 1.1 in
3x2=192
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
x2+6x-16=0
System 0.1 ip
y×15x=405
System 1.2 ip
x-y=0
System 2.1 ip
x×20y=800
System 3.1 ip
6y-2x=40
Set 0.1 in
-3y×12x=-324
Set 1.1 in
y-x=-10
Set 2.1 in
2x×13y=390
Set 3.1 in
10x-2y=-120
Language Exercises
Russian Vocabulary 2.5
впр тык
English Vocabulary 1.5
distin uish
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
g ther
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
wo nded [injured]
Infinitive 1.3
shake shaken [shake]
Infinitive 3.2
awoken [awake]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
(14400÷(-10))÷12=-120
Logics 1.4 in
106964÷(-13)=-8228
Logics 2.4 in
5640÷(-188)×150=-4500
Logics 3.4 in
(-400×10)÷50=-80
Logics 4.4 in
-932400÷(-225÷(-15))÷(-210)=296
Fraction Examples
Limited 0.3 fp
20519/819÷(2734/143+5075/429)=17/21
Limited 2.3 fp
(9/11-19/77)÷1/28=16/1
Complete 0.3 fn
-87/4×2588/957+9/11=-58/1
Complete 2.3 fn
(-17/38-1/6)×11553/140=-3851/76
Equations
Quadratic 0.2 in
28x2=2800
Quadratic 1.2 in
7x2=51772
Quadratic 2.2 in
-10x2+10x=0
Quadratic 3.2 in
4x2+48x+80=0
System 0.2 ip
2x+56y=5174
System 1.3 ip
x+y=609
System 2.2 ip
12y×x=72000
System 3.2 ip
55y+44x=6490
Set 0.2 in
-x-y=79
Set 1.2 in
-y-x=-10
Set 2.2 in
-260x÷2y=-871
Set 3.2 in
-33x-5y=-2830
Language Exercises
Russian Vocabulary 3.5
и древле
English Vocabulary 3.5
contrib tion
Lexicon 2.5
tr ditionally [typically]
Infinitive 2.3
beheld [behold]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
977x2+306778x=0
Quadratic 1.3 in
50x2=1232450
Quadratic 2.3 in
-153x2+44370x=0
Quadratic 3.3 in
3x2+288x+6045=0
System 0.3 ip
8x×5y=1984000
System 2.3 ip
38x×2y=2708640
System 3.3 ip
132x+108y=93720
Set 0.3 in
3024x÷5y=-864
Set 1.3 in
-x+y=242
Set 2.3 in
x×y=-672300
Set 3.3 in
-17x+4y=-14350
Language Exercises
Infinitive 3.3
run [run]
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