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
1+2=3
Addition #3
1+6=7
Addition #4
1+3=4
Addition #5
3+1=4
Subtraction #1
2-1=1
Subtraction #2
2-1=1
Subtraction #3
3-2=1
Subtraction #4
4-1=3
Subtraction #5
6-2=4
Subtraction #6
4-3=1
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
4+2=6
Addition #7
6+3=9
Addition #8
5+3=8
Addition #9
4+5=9
Addition #10
4+6=10
Addition #11
7+5=12
Addition #12
0+4=4
Addition #13
6+5=11
Addition #14
3+5=8
Addition #15
4+7=11
Addition #16
2+3=5
Addition #17
4+2=6
Addition #18
4+8=12
Addition #19
5+9=14
Addition #20
6-2=4
Addition #21
10+6=16
Addition #22
5+10=15
Subtraction #7
8-4=4
Subtraction #8
7-5=2
Subtraction #9
10-2=8
Subtraction #11
15-4=11
Subtraction #12
14-2=12
Subtraction #13
10-6=4
Subtraction #14
11-7=4
Subtraction #15
7-2=5
Subtraction #16
16-8=8
Subtraction #17
11-8=3
Subtraction #18
18-9=9
Subtraction #19
0-0=0
Subtraction #21
16-10=6
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
3+5=8
Beginner 1.3 ip
20+33=53
Beginner 2.3 ip
92-23=69
Beginner 3.3 ip
58-35=23
Beginner 4.2 ip
20-3-14=3
Beginner 5.1 ip
8-(10-8)=6
Step-by-step Tasks
Addition #23
9+2=11
Addition #24
3+2=5
Addition #25
3+13=16
Addition #26
12+14=26
Addition #27
0+13=13
Addition #28
0+14=14
Addition #29
20+10=30
Addition #30
18-15=3
Addition #31
5+25=30
Addition #32
14+16=30
Addition #33
3+17=20
Subtraction #22
9-6=3
Subtraction #23
5-1=4
Subtraction #24
13-2=11
Subtraction #26
23-13=10
Subtraction #27
17-4=13
Subtraction #28
8-5=3
Subtraction #29
26-16=10
Subtraction #31
27-7=20
Subtraction #32
19-9=10
Multiplication #1
1×2=2
Multiplication #2
2×10=20
Multiplication #3
1×4=4
Division #1
4÷1=4
Comparisons
Language Exercises
Russian Vocabulary 1.1
М сква
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
16-7=9
Beginner 1.4 ip
283+511=794
Beginner 2.4 ip
797-67=730
Beginner 3.4 ip
957-106=851
Beginner 4.3 ip
34+66-13=87
Beginner 5.2 ip
11-(10-10)=11
Cognizant 1.1 ip
38×2=76
Cognizant 2.1 ip
20÷4=5
Cognizant 3.1 ip
30÷10=3
Column 1.1 ip
52+44=96
Column 2.1 ip
78-15=63
Column 3.1 ip
37+11=48
Step-by-step Tasks
Addition #34
26+14=40
Addition #35
29+6=35
Addition #36
8+13=21
Addition #37
4+9=13
Addition #38
90+10=100
Addition #39
39+11=50
Addition #40
1+4+3=8
Subtraction #33
27-8=19
Subtraction #34
20-17=3
Subtraction #36
19-9=10
Subtraction #37
3-0=3
Subtraction #38
39-29=10
Subtraction #39
60-30=30
Multiplication #4
3×9=27
Multiplication #5
8×2=16
Multiplication #6
4×5=20
Multiplication #7
10×3=30
Multiplication #8
10×5=50
Multiplication #9
10×5=50
Multiplication #10
5×8=40
Multiplication #11
6×0=0
Multiplication #12
9×6=54
Multiplication #13
5×7=35
Multiplication #14
6×5=30
Multiplication #15
8×5=40
Multiplication #16
8×6=48
Multiplication #17
3×7=21
Multiplication #18
9×3=27
Multiplication #19
0×9=0
Multiplication #20
5×4=20
Multiplication #21
1×10=10
Division #2
10÷2=5
Division #3
12÷2=6
Division #4
18÷3=6
Division #5
8÷2=4
Division #6
40÷4=10
Division #7
3÷1=3
Division #8
30÷5=6
Division #9
0÷4=0
Division #10
10÷2=5
Division #11
0÷6=0
Division #12
10÷5=2
Division #13
56÷7=8
Division #14
36÷4=9
Division #15
10÷2=5
Division #16
32÷8=4
Division #17
24÷8=3
Division #18
54÷9=6
Division #19
35÷5=7
Division #20
80÷8=10
Division #21
100÷10=10
Comparisons
Natural 0.1 ip
10÷10 < 6÷1
Natural 1.2 ip
46 = 46
Natural 2.2 ip
82-61 < 99-51
Natural 3.1 ip
10÷10 < 7×1
Equations
Language Exercises
Russian Vocabulary 1.2
н рочно
Russian Vocabulary 2.1
ч снок
Russian Vocabulary 3.1
кол кольчик
Lexicon 1.1
pa s [go]
Lexicon 2.1
ar a [sphere]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
79-49=30
Beginner 4.4 ip
318-27+316=607
Beginner 5.3 ip
49+(31+12)=92
Cognizant 0.1 ip
60÷(6÷2)=20
Cognizant 1.2 ip
9×31=279
Cognizant 2.2 ip
532÷4=133
Cognizant 3.2 ip
40÷10=4
Cognizant 4.1 ip
18÷3÷2=3
Cognizant 5.1 ip
(18÷3)÷2=3
Cognizant 6.1 ip
60×2÷(3×4)=10
Remainder 1.1 ip
50÷5=10
Column 1.2 ip
5899+1801=7700
Column 2.2 ip
5356-4837=519
Column 3.2 ip
1135+6196=7331
Multiplier 1.1 ip
27×4=108
Divisor 1.1 ip
90÷6=15
Numeracy 1.1 ip
46×3-90=48
Numeracy 2.1 ip
48×2-44÷4=85
Divisor_ENG 1.1 ip
90÷9=10
Remainder_ENG 1.1 ip
20÷7=2(6)
Step-by-step Tasks
Multiplication #22
15×2=30
Multiplication #23
11×8=88
Multiplication #24
14×3=42
Multiplication #25
45×2=90
Multiplication #26
4×12=48
Multiplication #27
5×18=90
Multiplication #28
12×4=48
Multiplication #29
49×2=98
Multiplication #30
20×1=20
Multiplication #31
6×15=90
Multiplication #32
13×7=91
Multiplication #33
6×15=90
Multiplication #34
8×16=128
Multiplication #35
16×5=80
Multiplication #36
9×11=99
Multiplication #37
19×9=171
Multiplication #38
7×5=35
Multiplication #39
50×4=200
Multiplication #40
7×8=56
Division #22
34÷2=17
Division #23
0÷11=0
Division #24
24÷3=8
Division #25
2÷2=1
Division #26
76÷4=19
Division #27
95÷5=19
Division #28
16÷2=8
Division #29
64÷4=16
Division #30
20÷10=2
Division #31
54÷6=9
Division #32
49÷7=7
Division #33
56÷7=8
Division #34
72÷8=9
Division #35
40÷5=8
Division #36
45÷9=5
Division #37
32÷8=4
Division #38
490÷10=49
Division #39
135÷9=15
Division #40
32÷4=8
Comparisons
Natural 0.2 ip
4×9 > 60÷2
Natural 1.3 ip
394 > 378
Natural 2.3 ip
671-177 = 980-486
Natural 3.2 ip
4×4 < 11×4
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
738-(902-379)=215
Beginner 1.5 ip
82493+27507=110000
Beginner 2.5 ip
950543-250543=700000
Beginner 3.5 ip
671069-157263=513806
Beginner 5.4 ip
431-(588-541)=384
Cognizant 0.2 ip
3×28=84
Cognizant 1.3 ip
26×27=702
Cognizant 2.3 ip
9000÷4=2250
Cognizant 3.3 ip
4200÷2=2100
Cognizant 4.2 ip
400÷4÷2=50
Cognizant 5.2 ip
(25×40)÷20=50
Cognizant 6.2 ip
2×(10÷5)×100=400
Remainder 1.2 ip
238÷14=17
Column 1.3 ip
211817+782205=994022
Column 2.3 ip
1000000-769475=230525
Column 3.3 ip
731324+78676=810000
Multiplier 1.2 ip
6615×2=13230
Multiplier 1.3 ip
1379×70=96530
Divisor 1.2 ip
928÷2=464
Numeracy 0.1 ip
92÷2-34=12
Numeracy 1.2 ip
538+13×18=772
Numeracy 2.2 ip
158×6+540÷20=975
Numeracy 3.1 ip
49+(12+28)÷8=54
Divisor_ENG 1.2 ip
696÷2=348
Remainder_ENG 1.2 ip
112÷14=8
Comparisons
Natural 0.3 ip
380 > 180
Natural 1.4 ip
611200 < 611247
Natural 2.4 ip
385288+74712 < 994888-126225
Natural 3.3 ip
360÷9 = 560÷14
Equations
Linear 0.1 ip
(x+2)×3=9
Linear 1.3 ip
917-x=137
Linear 2.3 ip
x×50=450
Linear 3.2 ip
x×7+20=90
Linear 4.1 ip
6÷(1+x)=3
Rounding
Language Exercises
Russian Vocabulary 2.3
независ мость
English Vocabulary 1.2
b droom
English Vocabulary 2.2
ra ely
Lexicon 1.2
re r [background]
Lexicon 2.2
Apr l [month]
Infinitive 1.1
undersell undersold [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
452220-(652958-560738)=360000
Beginner 4.5 ip
860109-833681+73544=99972
Beginner 5.5 ip
956690-(928328-12477)=40839
Conversant 1.1 in
-4+4=0
Conversant 1.5 in
147594-525292=-377698
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
800÷40=20
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
11125×800=8900000
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
(57+103)÷(770-754)=10
Numeracy 3.3 ip
(136+1704)÷(53+867)=2
Divisor_ENG 1.3 ip
6600÷40=165
Remainder_ENG 1.3 ip
263÷27=9(20)
Decimal Examples
Partitive 0.1 dp
6.2-1-1.4=3.8
Partitive 0.2 dp
24.9+(92.2-41.5)=75.6
Partitive 1.1 dp
1.6+8.4=10
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
8.4-1.2-2.2=5
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
2.4+(0.1+1)=3.5
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
3×6.6=19.8
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
7×1.2=8.4
Divisional_ENG 1.1 dp
1.8÷3=0.6
Fraction Examples
Numerator 1.1 fp
9/10-3/10=3/5
Comparisons
Natural 0.4 ip
585389 > 324258
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
-3 < 7
Ceil 1.1 in
3 > -8
Ceil 2.1 in
-1-7 < -0+10
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
20.7 < 34.8
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
1/6 < 9/10
Improper 1.2 fp
308/61 < 83/10
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
100÷(73-x)=4
Linear 0.3 ip
352÷(65-x)=176
Linear 3.3 ip
x÷8+922=927
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
714÷(x+1)=51
Lineal 1.1 in
-x+4=-3
Lineal 2.1 in
3×(-x)=-3
Rounding
Rounding 1.1 dp
37.3≈37
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
691≈69
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
1117×107≈120
Round 1.3 ip
608331≈608
Round 2.2 ip
10000-7284≈27
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
11×91≈100
Round 3.2 ip
1123×3≈34
Round 3.3 ip
8969×52≈466
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
сост заться
English Vocabulary 1.3
pr per
English Vocabulary 2.3
contin e
English Vocabulary 3.2
ro gh
Lexicon 1.3
un form [outfit]
Infinitive 2.1
outsit [outsit]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
2-9=-7
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
47-22-16=9
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
-61+51=-10
Conversant 2.2 in
20-20+16=16
Conversant 2.3 in
50-54+83=79
Conversant 3.1 in
10-(-5+5)=10
Conversant 3.2 in
19+(-5+6)=20
Conversant 3.3 in
-3-(-11+100)=-92
Conversant 4.1 in
(8-0)-(3-4)=9
Conversant 4.2 in
(20+6)+(12-19)=19
Conversant 4.3 in
-(83-54)+(80-59)=-8
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
384×150=57600
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
32×15×327=156960
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
4900÷49÷(50÷25)=50
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
37200÷10=3720
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
50+(-28-30)×2=-66
Logics 0.1 in
-66÷(-36÷6)×5=55
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
-48÷(-2)÷4=6
Logics 3.1 in
(36÷(-2))÷2=-9
Logics 4.1 in
-32÷(-2×2)÷2=4
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
44.53+(53.84-45)=53.37
Partitive 1.3 dp
81.69-52.51=29.18
Partitive 2.3 dp
83.79+7.74+5.48=97.01
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-5.2-1.6=-6.8
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
51+45=96
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
8.9+52.4-52.3=9
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
19.8÷3÷3.3=2
Denary 1.2 dp
26×0.37=9.62
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
4×0.06=0.24
Denary 4.1 dp
9×2.8÷7.2=3.5
Denary 5.1 dp
1.6×(5×0.1)=0.8
Definition 0.1 dp
0.5×(100-98)×1.6=1.6
Definition 1.1 dp
0.8×100-11.8=68.2
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
32÷2.5-25=-12.2
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
57÷10=5.7
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
17/10+81/50=83/25
Numerator 2.1 fp
3/10-1/10+3/10=1/2
Numerator 2.2 fp
49/8-409/72+59/9=7/1
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
7/10-1/10=3/5
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
21/4÷3/2=7/2
Fragment 1.2 fp
112/9÷14/45=40/1
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
15/2+2/3×9/8=33/4
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
873 > -188
Ceil 1.2 in
85 > -81
Ceil 1.3 in
450 > -610
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
100÷(-25) < -90÷30
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
14 > 13.8
Point 0.2 dp
1.8×39.2 < 4.14×20
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
83.811 < 83.827
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
43.7+20.3 > 8.43+54.76
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
-54.66 < 6
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
16.21+15.79 > -45.73-24.27
Doted 3.1 dn
53.1÷1.8 < 3×9.9
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
Improper 0.1 fp
1/5 < 7/10
Improper 0.2 fp
13/15×5/13 < 9/10÷6/5
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
156/5+12237/215 > 4001/43-657/43
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
Descent 1.1 fn
4/5 > -1/3
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
3/5+1/5 > 2/5+1/10
Equations
Lineal 0.1 in
x÷2+4=-1
Lineal 0.2 in
-58-x=32
Lineal 1.2 in
3+x=0
Lineal 1.3 in
x+720=0
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
x×(-31)=-930
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
2×x-30=90
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
80.9-15.9≈65
Rounding 0.2 dp
45.56-11.54≈34
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
52.06+0.95≈53
Rounding 2.3 dp
3.977+18.018≈22
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
н жданный
English Vocabulary 3.3
w rking
Lexicon 2.3
to ards [to]
Infinitive 1.2
overshoot overshot [overshoot]
Infinitive 3.1
make [make]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-(74+223)+(670+7)=380
Conversant 0.5 in
388273+(993690-733140)=648823
Conversant 1.4 in
-732+20=-712
Conversant 2.4 in
742+557-390=909
Conversant 2.5 in
-25408-300629-472474=-798511
Conversant 3.4 in
61+(946-869)=138
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
(530-357)-(750+291)=-868
Conversant 4.5 in
(228929-350682)+(340000+432050)=650297
Divisor 1.5 ip
400000÷400=1000
Intellect 0.2 in
-238+968÷(-2-2)=-480
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
600-27÷(10+17)=599
Logics 0.2 in
7×2×(-20)=-280
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
500÷10÷(-5)=-10
Logics 3.2 in
(10÷(-5))×(-10)=20
Logics 4.2 in
2×(-5)×(-100÷(-10))=-100
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
197.999+214.085-122.084=290
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
119.87-341.97+409.266=187.166
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
105.845-(-165.539+141.384)=130
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
2.208÷(2.4×0.32)=2.875
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
10.35×5.28=54.648
Denary 4.2 dp
43.75×0.24÷7.5=1.4
Denary 4.3 dp
2.34÷4.5×18=9.36
Denary 5.2 dp
1.6×(6.25×4)=40
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
Definition 0.2 dp
14×3.61+10.8÷90=50.66
Definition 1.2 dp
50.4÷6.72-3.27=4.23
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
Definition 3.2 dp
50.1-0.8÷(75.64-67.64)=50
Negatory 0.1 dn
11+28.5×1.2+2.8=48
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
-30.444+0.792×64=20.244
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
(11.7+7.8)÷(29+36)=0.3
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
Residual_ENG 1.2 dp
92÷4=23
Divisional_ENG 1.3 dp
24.472÷0.46=53.2
Fraction Examples
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
Numerator 1.3 fp
787/9-4813/117=602/13
Numerator 2.3 fp
4153/792+6119/792-1709/231=39/7
Numerator 3.3 fp
206/9+(397/9-8212/809)=45991/809
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-17/3-76/99=-637/99
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
175/4×28/25=49/1
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
Fragment 3.1 fp
13/4÷(3/5÷6/5)=13/2
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
5/4+1/3÷2/9=11/4
Limited 1.2 fp
1/3×1251/26+231/26=324/13
Limited 2.1 fp
15/8×(9/2-25/6)=5/8
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
9/2-1/3×9/2=3/1
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
Ceil 0.4 in
-2×(-18) < 9000×6
Ceil 1.4 in
596574 > -601125
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-2×315172 < -793184÷2
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
50.6×0.75 < 33.12×1.25
Doted 0.3 dn
-28.96 < 60.864
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
-12.675 > -563.71
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
Improper 0.3 fp
544/891+55534/891 > 725/18-2777/126
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
Descent 1.3 fn
-39/53 > -16/17
Descent 2.2 fn
-449/45+29/3 < 10/1-1/3
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
-56-x=86
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
нев данный
English Vocabulary 1.4
there ore
English Vocabulary 2.4
rema ning
Lexicon 1.4
c nnection [union]
Infinitive 2.2
shoe [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-158×54-2160÷80=-8559
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
(1296÷36)÷6=6
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
80÷(-20)÷(-2)=2
Logics 3.3 in
-3861÷(-99÷3)=117
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
Residual 1.3 dp
89÷100=0.89
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
0.5×0.18=0.09
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
2×(0.52×0.025)=0.026
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
42.754+(53.933-51.133)×1.8=47.794
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
31.665+72.8÷(28.971-32.299)=9.79
Negatory 3.4 dn
400.516-(-185.856-102.144)÷51.2=406.141
Residual_ENG 1.3 dp
92÷16=5.75
Fraction Examples
Denominator 0.3 fn
2/3-89/3=-29/1
Denominator 2.3 fn
-26275/289+2/3+77686/867=-11/17
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
35/3÷(2/3×1/2)=35/1
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
Limited 0.2 fp
1255/36-27/32×2104/81=233/18
Limited 1.3 fp
1/8×3424/643-274/643=154/643
Limited 2.2 fp
1/6÷(1/4+1/4)=1/3
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
Doted 3.4 dn
-5×(-7.176) < -50.4×(-1.275)
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
Descent 3.3 fn
85/1×26/85 < -12/17×(-153/4)
Equations
Quadratic 0.1 in
x2=16
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
-x2+12x-11=0
System 0.1 ip
6x×4y=960
System 1.2 ip
x+y=105
System 2.1 ip
10x×y=200
System 3.1 ip
10y+4x=116
Set 0.1 in
2x×y=160
Set 1.1 in
x-y=-6
Set 2.1 in
8x×2y=-320
Set 3.1 in
-10y+10x=0
Language Exercises
Russian Vocabulary 2.5
перп ндикуляр
English Vocabulary 1.5
enthu iastic
English Vocabulary 2.5
commun cation
English Vocabulary 3.4
id ntify
Lexicon 1.5
bl me [condemn]
Lexicon 2.4
contrib te [promote]
Infinitive 1.3
rehear reheard [rehear]
Infinitive 3.2
fight [fight]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-19×26÷(4199÷(-221))=26
Logics 1.4 in
-625×(-512)=320000
Logics 2.4 in
-1250÷(-25)×(-900)=-45000
Logics 3.4 in
533×(39×(-30))=-623610
Logics 4.4 in
-17×(-39)×(10×24)=159120
Fraction Examples
Limited 0.3 fp
1071/125÷(13/20-31/100)=126/5
Limited 2.3 fp
(9/11-19/77)÷1/28=16/1
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
Quadratic 0.2 in
-75x2-7500x=0
Quadratic 1.2 in
43x2=44032
Quadratic 2.2 in
40x2-2120x=0
Quadratic 3.2 in
x2+2x-288=0
System 0.2 ip
79x-10y=3685
System 1.3 ip
y+x=1296
System 2.2 ip
36x÷9y=3
System 3.2 ip
55y+44x=6490
Set 0.2 in
-x-y=-70
Set 1.2 in
-x-y=-26
Set 2.2 in
-2160x÷72y=-60
Set 3.2 in
-4y-69x=-2780
Language Exercises
Russian Vocabulary 3.5
гор мыка
English Vocabulary 3.5
contrib tion
Lexicon 2.5
enco rage [promote]
Infinitive 2.3
thrust [thrust]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
-415x2-111635x=0
Quadratic 1.3 in
58x2=449152
Quadratic 2.3 in
938x2-741020x=0
Quadratic 3.3 in
4x2-440x-16800=0
System 0.3 ip
125y+98x=172033
System 2.3 ip
5y÷10x=1
System 3.3 ip
76y+44x=86172
Set 0.3 in
x+y=-30
Set 1.3 in
-y-x=-72
Set 2.3 in
2y×2x=-112320
Set 3.3 in
223y-115x=-78090
Language Exercises
Infinitive 3.3
send [send]
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