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
2+5=7
Addition #4
1+0=1
Addition #5
9+1=10
Subtraction #1
5-2=3
Subtraction #2
3-1=2
Subtraction #3
5-3=2
Subtraction #4
9-1=8
Subtraction #5
4-2=2
Subtraction #6
8-3=5
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
4+2=6
Addition #7
9+3=12
Addition #8
1+0=1
Addition #9
4+8=12
Addition #10
0-0=0
Addition #11
5+9=14
Addition #12
6+2=8
Addition #13
7+6=13
Addition #14
3+8=11
Addition #15
5+7=12
Addition #16
9+1=10
Addition #17
2+7=9
Addition #18
8+9=17
Addition #19
8+9=17
Addition #20
5-4=1
Addition #21
2+10=12
Addition #22
7+10=17
Subtraction #7
10-4=6
Subtraction #8
9-5=4
Subtraction #9
10-3=7
Subtraction #11
13-3=10
Subtraction #12
14-3=11
Subtraction #13
13-6=7
Subtraction #14
14-7=7
Subtraction #15
1-1=0
Subtraction #16
17-8=9
Subtraction #17
10-8=2
Subtraction #18
13-9=4
Subtraction #19
0-0=0
Subtraction #21
16-10=6
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
100-55=45
Beginner 3.3 ip
49-29=20
Beginner 4.2 ip
20-3-14=3
Beginner 5.1 ip
6+(7-3)=10
Step-by-step Tasks
Addition #23
9+2=11
Addition #24
1+9=10
Addition #25
6+14=20
Addition #26
11+2=13
Addition #27
0+13=13
Addition #28
0+14=14
Addition #29
10+15=25
Addition #30
12+17=29
Addition #31
15+11=26
Addition #32
25+6=31
Addition #33
27+3=30
Subtraction #22
10-9=1
Subtraction #23
14-11=3
Subtraction #24
3-2=1
Subtraction #26
19-13=6
Subtraction #27
11-4=7
Subtraction #28
12-5=7
Subtraction #29
19-16=3
Subtraction #31
19-7=12
Subtraction #32
17-17=0
Multiplication #1
1×1=1
Multiplication #2
2×10=20
Multiplication #3
1×3=3
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
ч ловек
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
4+11=15
Beginner 1.4 ip
233+69=302
Beginner 2.4 ip
694-274=420
Beginner 3.4 ip
32+218=250
Beginner 4.3 ip
81-6-22=53
Beginner 5.2 ip
18-(7+8)=3
Cognizant 1.1 ip
10×7=70
Cognizant 2.1 ip
78÷13=6
Cognizant 3.1 ip
8×7=56
Column 1.1 ip
32+51=83
Column 2.1 ip
78-15=63
Column 3.1 ip
97-45=52
Step-by-step Tasks
Addition #34
24+6=30
Addition #35
16-10=6
Addition #36
22+8=30
Addition #37
19+12=31
Addition #38
30+60=90
Addition #39
10+25=35
Addition #40
19-19+0=0
Subtraction #33
27-8=19
Subtraction #34
20-12=8
Subtraction #36
19-9=10
Subtraction #37
6-5=1
Subtraction #38
39-29=10
Subtraction #39
60-30=30
Multiplication #4
3×5=15
Multiplication #5
2×0=0
Multiplication #6
4×5=20
Multiplication #7
10×1=10
Multiplication #8
8×5=40
Multiplication #9
7×5=35
Multiplication #10
5×10=50
Multiplication #11
10×6=60
Multiplication #12
9×6=54
Multiplication #13
3×7=21
Multiplication #14
6×3=18
Multiplication #15
5×2=10
Multiplication #16
8×6=48
Multiplication #17
8×10=80
Multiplication #18
9×4=36
Multiplication #19
9×9=81
Multiplication #20
10×8=80
Multiplication #21
1×10=10
Division #2
12÷2=6
Division #3
16÷2=8
Division #4
12÷3=4
Division #5
6÷3=2
Division #6
40÷4=10
Division #7
8÷1=8
Division #8
25÷5=5
Division #9
18÷2=9
Division #10
20÷2=10
Division #11
0÷6=0
Division #12
48÷6=8
Division #13
21÷7=3
Division #14
0÷4=0
Division #15
70÷7=10
Division #16
64÷8=8
Division #17
60÷6=10
Division #18
45÷9=5
Division #19
35÷5=7
Division #20
70÷7=10
Division #21
80÷10=8
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
н рочно
Russian Vocabulary 2.1
п лёт
Russian Vocabulary 3.1
восем
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
93-20=73
Beginner 4.4 ip
897+24-626=295
Beginner 5.3 ip
79+(18+3)=100
Cognizant 0.1 ip
42÷14=3
Cognizant 1.2 ip
28×14=392
Cognizant 2.2 ip
696÷2=348
Cognizant 3.2 ip
70÷35=2
Cognizant 4.1 ip
8×5÷4=10
Cognizant 5.1 ip
3×(4×2)=24
Cognizant 6.1 ip
72÷(3×2)÷4=3
Remainder 1.1 ip
59÷10=5(9)
Column 1.2 ip
5811+3090=8901
Column 2.2 ip
3799-2000=1799
Column 3.2 ip
4900+1028=5928
Multiplier 1.1 ip
14×7=98
Divisor 1.1 ip
30÷6=5
Numeracy 1.1 ip
46+2×11=68
Numeracy 2.1 ip
26-60÷2÷15=24
Divisor_ENG 1.1 ip
99÷3=33
Remainder_ENG 1.1 ip
17÷8=2(1)
Step-by-step Tasks
Multiplication #22
2×17=34
Multiplication #23
11×2=22
Multiplication #24
3×17=51
Multiplication #25
20×3=60
Multiplication #26
12×4=48
Multiplication #27
20×5=100
Multiplication #28
4×9=36
Multiplication #29
20×5=100
Multiplication #30
5×16=80
Multiplication #31
6×20=120
Multiplication #32
7×17=119
Multiplication #33
9×10=90
Multiplication #34
19×8=152
Multiplication #35
2×21=42
Multiplication #36
12×9=108
Multiplication #37
6×14=84
Multiplication #38
10×16=160
Multiplication #39
20×19=380
Multiplication #40
10×11=110
Division #22
8÷2=4
Division #23
0÷11=0
Division #24
51÷3=17
Division #25
2÷2=1
Division #26
0÷4=0
Division #27
95÷5=19
Division #28
40÷2=20
Division #29
64÷4=16
Division #30
90÷30=3
Division #31
12÷6=2
Division #32
84÷7=12
Division #33
4÷4=1
Division #34
160÷8=20
Division #35
40÷5=8
Division #36
108÷9=12
Division #37
98÷7=14
Division #38
420÷20=21
Division #39
135÷9=15
Division #40
32÷4=8
Comparisons
Natural 0.2 ip
20 > 18
Natural 1.3 ip
518 > 340
Natural 2.3 ip
72+174 < 680-264
Natural 3.2 ip
50÷5 < 4×13
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
975-21-84=870
Beginner 1.5 ip
82493+27507=110000
Beginner 2.5 ip
676000-66000=610000
Beginner 3.5 ip
186902+813098=1000000
Beginner 5.4 ip
572-(380+92)=100
Cognizant 0.2 ip
588÷7=84
Cognizant 1.3 ip
20×245=4900
Cognizant 2.3 ip
9800÷8=1225
Cognizant 3.3 ip
52×81=4212
Cognizant 4.2 ip
30×20÷24=25
Cognizant 5.2 ip
(25×40)÷20=50
Cognizant 6.2 ip
800÷2÷(5×8)=10
Remainder 1.2 ip
136÷18=7(10)
Column 1.3 ip
374891+205109=580000
Column 2.3 ip
157910-66725=91185
Column 3.3 ip
191886-34940=156946
Multiplier 1.2 ip
4702×6=28212
Multiplier 1.3 ip
1900×26=49400
Divisor 1.2 ip
1000÷4=250
Numeracy 0.1 ip
(41-37)×(10+5)=60
Numeracy 1.2 ip
880÷8+426=536
Numeracy 2.2 ip
151-544÷34+292=427
Numeracy 3.1 ip
17-39÷(10+29)=16
Divisor_ENG 1.2 ip
810÷9=90
Remainder_ENG 1.2 ip
124÷18=6(16)
Comparisons
Natural 0.3 ip
740-15 > 869-389
Natural 1.4 ip
391473 < 539839
Natural 2.4 ip
764825-34825 > 626890-387550
Natural 3.3 ip
5×4 < 460÷2
Equations
Linear 0.1 ip
8÷x+2=3
Linear 1.3 ip
x-250=240
Linear 2.3 ip
330÷x=33
Linear 3.2 ip
78-x×3=15
Linear 4.1 ip
(x+1)×3=6
Rounding
Language Exercises
Russian Vocabulary 2.3
независ мость
English Vocabulary 1.2
range
English Vocabulary 2.2
ra ely
Lexicon 1.2
pi k [rose-color]
Lexicon 2.2
e ch [both]
Infinitive 1.1
sand-cast sand-cas [sand-cast]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
10000+(495252+24826)=530078
Beginner 4.5 ip
561273+249458-799031=11700
Beginner 5.5 ip
990636-(121295+199341)=670000
Conversant 1.1 in
-6+3=-3
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
8+0-9=-1
Cognizant 0.3 ip
26×10×(32÷2)=4160
Cognizant 4.3 ip
50×6÷5=60
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
911÷30=30(11)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
(39+10)×(10+9)=931
Numeracy 0.3 ip
1984+(75+277)÷22=2000
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
5008-576×69÷23=3280
Numeracy 3.2 ip
864-(132+24)÷2=786
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
9504÷22=432
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
33.6+13+53.4=100
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
1.7+1.5+1.4=4.6
Partitive 2.2 dp
46.1+64.8-85.4=25.5
Partitive 3.1 dp
1.2+(0.9+5)=7.1
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
0.3÷0.2=1.5
Denary 1.1 dp
8×2.4=19.2
Denary 2.1 dp
28.5÷1.5=19
Denary 3.1 dp
2.3×3=6.9
Divisional_ENG 1.1 dp
3.2÷2=1.6
Fraction Examples
Numerator 1.1 fp
9/10-3/10=3/5
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
104×17 < 25×72
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
7 < 10
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
-2×(-5) > -3÷(-3)
Point 1.1 dp
76 = 76
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
1/5 < 3/4
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
100÷(73-x)=4
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x-12)×189=378
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
84.8≈85
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
691≈69
Round 0.2 ip
304+2279≈26
Round 0.3 ip
535855≈536
Round 1.3 ip
240839≈241
Round 2.2 ip
9959-168≈98
Round 2.3 ip
965026-242853≈722
Round 3.1 ip
820÷4≈21
Round 3.2 ip
4136÷8≈5
Round 3.3 ip
870504÷152≈6
Language Exercises
Russian Vocabulary 1.4
вер вание
Russian Vocabulary 3.3
прис гать
English Vocabulary 1.3
contin e
English Vocabulary 2.3
st ff
Lexicon 1.3
un form [outfit]
Infinitive 2.1
misteach [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
22-(60-34)=-4
Conversant 1.2 in
-6-6=-12
Conversant 1.3 in
90-20=70
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
-52-(-74-18)=40
Conversant 4.1 in
(6-10)+(8+0)=4
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
-(60+49)+(79+11)=-19
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
100×142=14200
Cognizant 2.4 ip
636004÷2=318002
Cognizant 3.4 ip
430×220=94600
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
80×(2×25)=4000
Cognizant 6.4 ip
2×(4×5)×50=2000
Multiplier 1.5 ip
25348×3347=84839756
Divisor 1.4 ip
71766÷81=886
Intellect 0.1 in
-20-96÷6÷8=-22
Intellect 1.1 in
-20+5×2=-10
Intellect 2.1 in
-5×5-2×33=-91
Intellect 3.1 in
(9+3)×(5+2)=84
Logics 0.1 in
2×3×5=30
Logics 1.1 in
-60÷(-3)=20
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-5×(-12))÷(-10)=-6
Logics 4.1 in
-5×(6÷3)×9=-90
Divisor_ENG 1.4 ip
12000÷60=200
Decimal Examples
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
Partitive 1.3 dp
1.07+25=26.07
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
81.88-(16+24)=41.88
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
-4+2.6=-1.4
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-95.2+87.5-35.5=-43.2
Split 3.1 dn
5-(5.1-4.5)=4.4
Split 3.2 dn
3.7-(-89.9-5)=98.6
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
0.51÷3=0.17
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
46.08÷1.44=32
Denary 3.2 dp
5×0.36=1.8
Denary 4.1 dp
1÷2.5×52=20.8
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
Definition 1.1 dp
46.6-2.5×4=36.6
Definition 2.1 dp
23.4+1.2×45-50=27.4
Definition 3.1 dp
26.2-(15+55.4)÷11=19.8
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
1/35+(6/35+1/45)=2/9
Numerator 1.2 fp
2/3+307/75=119/25
Numerator 2.1 fp
1/3+2/3-3/5=2/5
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
2/5+1/2=9/10
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
2/3+1/3-6/7=1/7
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
Fragment 1.1 fp
42/5÷21/5=2/1
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
20/8=5/2
Reduction 1.2 fp
399/19=21/1
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
646 > -545
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
-892 < -756
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-44+961 > 8+2
Ceil 3.2 in
-11×8 < 96÷(-2)
Ceil 3.3 in
892÷(-4) < 369÷(-3)
Point 0.1 dp
38.4 > 1.7
Point 0.2 dp
57.19÷19 > 1.25×2.4
Point 1.2 dp
50 > 42.67
Point 1.3 dp
63.298 > 40
Point 1.4 dp
190.863 < 436.083
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
-26.8-14.6 = 20.1-61.5
Doted 0.2 dn
-4.5×(-4) < -61.2÷(-2.04)
Doted 1.1 dn
27 > -32.8
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
-7.7+34.7 < -15.5+42.7
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
Doted 3.1 dn
-67.2÷1.6 > -68.4÷0.8
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
Improper 0.1 fp
3/4 < 1/1
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
641/220 < 11698/121
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
Improper 2.3 fp
156/5+12237/215 > 4001/43-657/43
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
15/2÷45/38 = 3/4÷9/76
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
-64/7 < 26/7
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
x+10=6
Lineal 0.2 in
-x-58=20
Lineal 1.2 in
68-x=-2
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
-x÷11=-1
Lineal 2.3 in
x÷3=-291
Lineal 3.1 in
-10+x×2=10
Lineal 3.2 in
52+94÷x=54
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
81.9≈82
Rounding 0.2 dp
30.97≈31
Rounding 1.2 dp
0.66≈0.7
Rounding 1.3 dp
77.461≈77.46
Rounding 2.2 dp
37.17+22.84≈60
Rounding 2.3 dp
29.431-25.435≈4
Rounding 3.1 dp
4.3×15.7≈68
Rounding 3.2 dp
2.26×30≈67.8
Language Exercises
Russian Vocabulary 2.4
д лемма
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
rethink rethought [rethink]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-228532+450000=221468
Conversant 1.4 in
-414+598=184
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
123-(622+185)=-684
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-706+918÷(28+26)=-689
Intellect 1.2 in
503-300÷100=500
Intellect 2.2 in
16-39×12÷18=-10
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
-210÷(6÷(-3))=105
Logics 1.2 in
-20×(-15)=300
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(20×(-50))÷(-25)=40
Logics 4.2 in
-2×(5×5)×5=-250
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
18+(462+194.741)=674.741
Partitive 1.4 dp
357.895-277.895=80
Partitive 2.4 dp
590-111.573-328.427=150
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
-93.364+274.922=181.558
Split 1.3 dn
-44.39-35.61=-80
Split 1.4 dn
-10.495-147.571=-158.066
Split 2.3 dn
-22.45-6.22-11.74=-40.41
Split 2.4 dn
-93.725-75+140.922=-27.803
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
0.252÷0.01=25.2
Denary 0.2 dp
(3.2÷5)÷2.56=0.25
Denary 0.3 dp
0.8×3.78=3.024
Denary 1.3 dp
1.28×3.125=4
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
5.76÷1.152=5
Denary 4.2 dp
61.2÷34÷3=0.6
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
1.2÷(100÷2)=0.024
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
90.68-1.6×12.5=70.68
Definition 1.3 dp
86.284-78.125×0.256=66.284
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
Definition 3.2 dp
98.09-(38.79+1.53)÷1.5=71.21
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
77-43.2÷3=62.6
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
Negatory 3.2 dn
1.32÷(29.16-33.16)×14=-4.62
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
32/85+(36/85+88831/940)=89583/940
Denominator 0.2 fn
25/82+(309/82-293/82)=1/2
Denominator 1.2 fn
-5/42-19/42=-4/7
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
5/6+191/66-12/77=25/7
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
12/19÷6/19=2/1
Fragment 2.2 fp
1/2÷1/23×97/46=97/4
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
3552/5400=148/225
Limited 0.1 fp
17/2-2/3×37/4=7/3
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
(3/8+1/8)÷2/3=3/4
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
Complete 1.2 fn
-7/17÷79/34-18/79=-32/79
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
438900 > 300000
Ceil 1.4 in
271305 > -271305
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
55.728+14.272 > 12.571+14.799
Point 0.4 dp
200 > 117.366
Point 2.4 dp
925.983-860.483 < 48.669+24.331
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
280.824÷4 < 561.664÷8
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
5.133+9.104 < -18.552+32.805
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
13313/275-36909/770 < 8499/112-16791/224
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
-100/17+2/1 > -4/1-6/19
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-6/1÷(-42/5) > 1/2×(-1/2)
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
89-900÷x=-1
Lineal 4.3 in
-756÷(-937+x)=36
System 1.1 ip
x-y=9
Rounding
Language Exercises
Russian Vocabulary 1.5
наскво ь
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
pur hase
English Vocabulary 2.4
poten ial
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
beseech [beseech]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-158×54-2160÷80=-8559
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
-4100+608÷38+93984=89900
Intellect 3.3 in
7258-35÷(30+5)=7257
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-50×(-93)=4650
Logics 2.3 in
5×20÷(-10)=-10
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
-8550÷(-15)×(-40÷10)=-2280
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
Denary 1.4 dp
0.5×1.44=0.72
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
0.5×0.034=0.017
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
40.128-0.864÷1.6=39.588
Definition 0.4 dp
968.241+2.73÷0.624÷7=968.866
Definition 1.4 dp
262.198-1.25×80=162.198
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
Definition 3.4 dp
824.723+3.2÷(0.5+0.3)=828.723
Negatory 0.3 dn
-43.24÷11.5-23.264=-27.024
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
-713.784+656.64÷0.512=568.716
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
Negatory 3.4 dn
(11.044+1.756)×(-51.194-11.306)=-800
Residual_ENG 1.3 dp
58÷100=0.58
Fraction Examples
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
Denominator 2.3 fn
2127/209+16455/209-12895/451=2473/41
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
Fragment 0.3 fp
57/2×20/19=30/1
Fragment 3.3 fp
97/18×(576/13÷64/13)=97/2
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
9/13 < 16142/247
Descent 2.3 fn
553/9-7025/639 > 97/71-31/2
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
2x2=0
Quadratic 2.1 in
4x2-8x=0
Quadratic 3.1 in
x2+2x-24=0
System 0.1 ip
x+y=19
System 1.2 ip
y+x=76
System 2.1 ip
18x÷3y=27
System 3.1 ip
6x+y=70
Set 0.1 in
-102y÷6x=34
Set 1.1 in
y+x=6
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-6y-4x=100
Language Exercises
Russian Vocabulary 2.5
впр сядку
English Vocabulary 1.5
commis ion
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
sp ritual
Lexicon 1.5
commun cation [giving]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
withdraw withdrawn [withdraw]
Infinitive 3.2
sit [sit]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
(14400÷(-10))÷12=-120
Logics 1.4 in
-319×610=-194590
Logics 2.4 in
-230400÷96÷(-75)=32
Logics 3.4 in
(-616000÷70)÷440=-20
Logics 4.4 in
-830760÷(-43)÷(78150÷(-7815))=-1932
Fraction Examples
Limited 0.3 fp
62/221×65/496+13/24=59/102
Limited 2.3 fp
(9/11-19/77)÷1/28=16/1
Complete 0.3 fn
15/28×4/5+60127/637=60400/637
Complete 2.3 fn
(191/209-37/209)×361/14=19/1
Equations
Quadratic 0.2 in
68x2+2720x=0
Quadratic 1.2 in
88x2=0
Quadratic 2.2 in
20x2-1200x=0
Quadratic 3.2 in
19x2-19x-38=0
System 0.2 ip
x+y=100
System 1.3 ip
x+y=609
System 2.2 ip
y×14x=43904
System 3.2 ip
30y-20x=750
Set 0.2 in
-90y+36x=-7560
Set 1.2 in
y+x=51
Set 2.2 in
828x÷12y=-46
Set 3.2 in
3x-y=-294
Language Exercises
Russian Vocabulary 3.5
надв е
English Vocabulary 3.5
conv nient
Lexicon 2.5
pron nciation [utterance]
Infinitive 2.3
beset [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
-29x2+580x+609=0
Quadratic 1.3 in
187x2=7480000
Quadratic 2.3 in
-912x2+740544x=0
Quadratic 3.3 in
4x2-440x-16800=0
System 0.3 ip
40y-40x=24440
System 2.3 ip
840x÷294y=4
System 3.3 ip
64x+419y=93036
Set 0.3 in
108y-930x=183060
Set 1.3 in
x-y=-340
Set 2.3 in
6x×3y=-8550000
Set 3.3 in
821y+122x=-644484
Language Exercises
Infinitive 3.3
sling [sling]
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