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+1=4
Addition #2
2+3=5
Addition #3
1+2=3
Addition #4
3+0=3
Addition #5
1+9=10
Subtraction #1
2-1=1
Subtraction #2
3-1=2
Subtraction #3
7-4=3
Subtraction #4
4-1=3
Subtraction #5
2-2=0
Subtraction #6
6-3=3
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
6+3=9
Addition #8
5+3=8
Addition #9
4+5=9
Addition #10
4+6=10
Addition #11
4+5=9
Addition #12
6+2=8
Addition #13
6+7=13
Addition #14
3+9=12
Addition #15
7+1=8
Addition #16
9+1=10
Addition #17
4+2=6
Addition #18
5+8=13
Addition #19
9+7=16
Addition #20
6-0=6
Addition #21
10+7=17
Addition #22
7+10=17
Subtraction #7
7-4=3
Subtraction #8
7-5=2
Subtraction #9
10-2=8
Subtraction #11
13-3=10
Subtraction #12
15-4=11
Subtraction #13
16-6=10
Subtraction #14
14-7=7
Subtraction #15
16-1=15
Subtraction #16
14-8=6
Subtraction #17
11-8=3
Subtraction #18
10-9=1
Subtraction #19
5-0=5
Subtraction #21
10-10=0
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
6-5=1
Beginner 1.3 ip
30+57=87
Beginner 2.3 ip
75-21=54
Beginner 3.3 ip
100-57=43
Beginner 4.2 ip
20-4-11=5
Beginner 5.1 ip
10-(7+2)=1
Step-by-step Tasks
Addition #23
10+8=18
Addition #24
5+5=10
Addition #25
10-10=0
Addition #26
22+4=26
Addition #27
22+3=25
Addition #28
4+7=11
Addition #29
20+10=30
Addition #30
12+17=29
Addition #31
5+25=30
Addition #32
6+12=18
Addition #33
5+27=32
Subtraction #22
17-6=11
Subtraction #23
14-11=3
Subtraction #24
18-12=6
Subtraction #26
10-3=7
Subtraction #27
24-4=20
Subtraction #28
16-15=1
Subtraction #29
17-6=11
Subtraction #31
27-17=10
Subtraction #32
17-17=0
Multiplication #1
1×1=1
Multiplication #2
2×4=8
Multiplication #3
2×7=14
Division #1
5÷1=5
Comparisons
Language Exercises
Russian Vocabulary 1.1
М сква
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
9-(17-9)=1
Beginner 1.4 ip
199+19=218
Beginner 2.4 ip
810-176=634
Beginner 3.4 ip
123+260=383
Beginner 4.3 ip
38+62-13=87
Beginner 5.2 ip
16-(1+5)=10
Cognizant 1.1 ip
3×0=0
Cognizant 2.1 ip
0÷4=0
Cognizant 3.1 ip
20÷5=4
Column 1.1 ip
45+13=58
Column 2.1 ip
70-34=36
Column 3.1 ip
12+69=81
Step-by-step Tasks
Addition #34
26+14=40
Addition #35
27-22=5
Addition #36
22+8=30
Addition #37
19+12=31
Addition #38
50+30=80
Addition #39
16+24=40
Addition #40
19-19+0=0
Subtraction #33
19-18=1
Subtraction #34
23-13=10
Subtraction #36
12-9=3
Subtraction #37
6-5=1
Subtraction #38
39-29=10
Subtraction #39
20-10=10
Multiplication #4
3×5=15
Multiplication #5
1×2=2
Multiplication #6
4×9=36
Multiplication #7
2×0=0
Multiplication #8
5×10=50
Multiplication #9
10×5=50
Multiplication #10
5×10=50
Multiplication #11
1×6=6
Multiplication #12
9×6=54
Multiplication #13
7×7=49
Multiplication #14
5×8=40
Multiplication #15
5×2=10
Multiplication #16
0×8=0
Multiplication #17
6×2=12
Multiplication #18
9×1=9
Multiplication #19
6×3=18
Multiplication #20
5×2=10
Multiplication #21
10×8=80
Division #2
12÷2=6
Division #3
12÷2=6
Division #4
18÷3=6
Division #5
18÷2=9
Division #6
12÷4=3
Division #7
6÷1=6
Division #8
0÷5=0
Division #9
0÷4=0
Division #10
10÷2=5
Division #11
30÷6=5
Division #12
10÷5=2
Division #13
56÷7=8
Division #14
70÷7=10
Division #15
70÷7=10
Division #16
80÷8=10
Division #17
0÷3=0
Division #18
63÷9=7
Division #19
72÷8=9
Division #20
40÷2=20
Division #21
60÷10=6
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
ул ца
Russian Vocabulary 2.1
чу ть
Russian Vocabulary 3.1
к торый
Lexicon 1.1
m od [humor]
Lexicon 2.1
ar a [sphere]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
100-35=65
Beginner 4.4 ip
781-388-341=52
Beginner 5.3 ip
86-(84-28)=30
Cognizant 0.1 ip
35×2=70
Cognizant 1.2 ip
2×20=40
Cognizant 2.2 ip
511÷7=73
Cognizant 3.2 ip
3×150=450
Cognizant 4.1 ip
48÷8×6=36
Cognizant 5.1 ip
3×(4×2)=24
Cognizant 6.1 ip
7×(2×3)×2=84
Remainder 1.1 ip
15÷3=5
Column 1.2 ip
4320+5659=9979
Column 2.2 ip
3693-2393=1300
Column 3.2 ip
6218-3367=2851
Multiplier 1.1 ip
70×9=630
Divisor 1.1 ip
60÷5=12
Numeracy 1.1 ip
46×3-90=48
Numeracy 2.1 ip
28+16×4÷2=60
Divisor_ENG 1.1 ip
45÷9=5
Remainder_ENG 1.1 ip
41÷7=5(6)
Step-by-step Tasks
Multiplication #22
2×21=42
Multiplication #23
11×8=88
Multiplication #24
19×3=57
Multiplication #25
2×15=30
Multiplication #26
19×4=76
Multiplication #27
5×11=55
Multiplication #28
4×3=12
Multiplication #29
20×5=100
Multiplication #30
5×16=80
Multiplication #31
11×6=66
Multiplication #32
7×14=98
Multiplication #33
1×15=15
Multiplication #34
8×15=120
Multiplication #35
39×2=78
Multiplication #36
11×9=99
Multiplication #37
24×5=120
Multiplication #38
10×16=160
Multiplication #39
20×19=380
Multiplication #40
7×8=56
Division #22
8÷2=4
Division #23
88÷11=8
Division #24
54÷3=18
Division #25
2÷2=1
Division #26
80÷4=20
Division #27
70÷5=14
Division #28
48÷8=6
Division #29
64÷4=16
Division #30
100÷10=10
Division #31
12÷6=2
Division #32
49÷7=7
Division #33
56÷7=8
Division #34
104÷8=13
Division #35
15÷5=3
Division #36
108÷9=12
Division #37
98÷7=14
Division #38
420÷20=21
Division #39
27÷3=9
Division #40
40÷5=8
Comparisons
Natural 0.2 ip
3×3 < 72÷3
Natural 1.3 ip
80 < 864
Natural 2.3 ip
272+136 < 645+205
Natural 3.2 ip
60÷5 < 100÷2
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
570-23+355=902
Beginner 1.5 ip
189095+156767=345862
Beginner 2.5 ip
965550-473876=491674
Beginner 3.5 ip
168275+157510=325785
Beginner 5.4 ip
958-(34+243)=681
Cognizant 0.2 ip
892÷4=223
Cognizant 1.3 ip
64×125=8000
Cognizant 2.3 ip
8800÷88=100
Cognizant 3.3 ip
33×21=693
Cognizant 4.2 ip
400÷4÷2=50
Cognizant 5.2 ip
(360÷40)×16=144
Cognizant 6.2 ip
288÷(18÷3)÷6=8
Remainder 1.2 ip
100÷17=5(15)
Column 1.3 ip
120000+352877=472877
Column 2.3 ip
503251-320000=183251
Column 3.3 ip
497867-443120=54747
Multiplier 1.2 ip
7925×4=31700
Multiplier 1.3 ip
3350×60=201000
Divisor 1.2 ip
160÷8=20
Numeracy 0.1 ip
48×2-44÷4=85
Numeracy 1.2 ip
880÷8+426=536
Numeracy 2.2 ip
274-46×2÷23=270
Numeracy 3.1 ip
51+24÷(2+22)=52
Divisor_ENG 1.2 ip
696÷2=348
Remainder_ENG 1.2 ip
28÷4=7
Comparisons
Natural 0.3 ip
740-15 > 869-389
Natural 1.4 ip
870157 > 40000
Natural 2.4 ip
895326+79974 > 602031-124272
Natural 3.3 ip
5×4 < 460÷2
Equations
Linear 0.1 ip
x÷3=3
Linear 1.3 ip
917-x=137
Linear 2.3 ip
x÷91=7
Linear 3.2 ip
9+2×x=93
Linear 4.1 ip
2×(1+x)=10
Rounding
Language Exercises
Russian Vocabulary 2.3
нос рог
English Vocabulary 1.2
range
English Vocabulary 2.2
cl ud
Lexicon 1.2
w b [network]
Lexicon 2.2
l kely [probably]
Infinitive 1.1
outleap outleapt [outleap]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
909180+83420=992600
Beginner 4.5 ip
170000+63167+23111=256278
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-2-6=-8
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-6+10-1=3
Cognizant 0.3 ip
(72÷18)×14=56
Cognizant 4.3 ip
4680÷78×24=1440
Cognizant 5.3 ip
(1458÷27)÷2=27
Cognizant 6.3 ip
126÷(9÷3)×37=1554
Remainder 1.3 ip
680÷90=7(50)
Multiplier 1.4 ip
85000×103=8755000
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
1633+1530÷85=1651
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
676-69÷(3212-3143)=675
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
Partitive 0.1 dp
2.4-1.4=1
Partitive 0.2 dp
51.9+(12+34.5)=98.4
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
23.4+21.6=45
Partitive 2.1 dp
9.6-1-3.2=5.4
Partitive 2.2 dp
39.9+29+5.1=74
Partitive 3.1 dp
9.3-(8+0.9)=0.4
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
85.8÷1.3=66
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
38.4÷4=9.6
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
12×200 < 330981÷7
Natural 3.4 ip
2691×86 > 2×1274
Ceil 0.1 in
6 > -1
Ceil 1.1 in
7 > -1
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
20/37 < 661/74
Improper 2.1 fp
7/10-1/10 > 5/6-1/3
Equations
Linear 0.2 ip
x÷6=8
Linear 0.3 ip
93×x=651
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(55-x)×14=70
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
x-5=0
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
79.2≈79
Rounding 2.1 dp
15.3+24.9≈40
Round 0.1 ip
15×41≈62
Round 0.2 ip
4126≈41
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
608331≈608
Round 2.2 ip
215+852≈11
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
988÷13≈8
Round 3.2 ip
1123×3≈34
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
ор ентация
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
st te
English Vocabulary 2.3
nless
English Vocabulary 3.2
d rty
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
-6+0=-6
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
-3+10+3=10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
(0+6)-(10+0)=-4
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
(21-93)+(18+76)=22
Cognizant 0.4 ip
742×677=502334
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
214200÷357=600
Cognizant 3.4 ip
889320÷2=444660
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
5268×7432=39151776
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
-32-2×19=-70
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
22÷(-2)×9=-99
Logics 1.1 in
12÷2=6
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-5×(-12))÷(-10)=-6
Logics 4.1 in
20÷(-2×(-2))×(-8)=-40
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
77.35+1.66+5=84.01
Partitive 1.3 dp
8.6+48.12=56.72
Partitive 2.3 dp
12.65+34.4+40.93=87.98
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-18+5.6+82.2=69.8
Split 1.1 dn
-8.9-1.1=-10
Split 1.2 dn
-70.3+69.8=-0.5
Split 2.1 dn
-1.5-1.5-7=-10
Split 2.2 dn
33.7+11-68.6=-23.9
Split 3.1 dn
7.3-(9-6)=4.3
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
34÷10=3.4
Divisional 1.2 dp
39.78÷2.25=17.68
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
28.44÷0.79=36
Denary 3.2 dp
6.84÷7.2=0.95
Denary 4.1 dp
1÷2.5×52=20.8
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
96÷3.2-9.3=20.7
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
Definition 3.1 dp
50.2+(91-89.5)÷3=50.7
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
46÷10=4.6
Divisional_ENG 1.2 dp
62.4÷13=4.8
Fraction Examples
Numerator 0.1 fp
2/5-1/5=1/5
Numerator 0.2 fp
8/13+5/13+17/22=39/22
Numerator 1.2 fp
157/18-83/14=176/63
Numerator 2.1 fp
3/10-1/10+3/10=1/2
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
1/4+(1/8+5/8)=1/1
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
6/5×10/3=4/1
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
480/16=30/1
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
Ceil 0.2 in
1+0 > 2-63
Ceil 0.3 in
575+97 > -819+132
Ceil 1.2 in
42 > -21
Ceil 1.3 in
-410 < 1000
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
-726+210 < 848-597
Ceil 3.2 in
-11×8 < 96÷(-2)
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
0.5×8 = 27.2÷6.8
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
50 > 42.67
Point 1.3 dp
70.202 > 40
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
87.041-0.599 > 0.046+0.028
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
29.9÷10 < 18.9÷1.26
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
Improper 0.2 fp
43/11-21/11 < 5/4+7/4
Improper 1.3 fp
14/1 < 85/1
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
-2/7 < 2/7
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
(x-4)×3=0
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
-x-52=-30
Lineal 1.3 in
-x-561=409
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
6×(41-x)=-54
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
24.995≈25
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
13.293+4.325≈17.62
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
un form
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
dream [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-340000+470000-406000=-276000
Conversant 1.4 in
-493+602=109
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
548078-39883+61370=569565
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
-82240+(96655-819676)=-805261
Conversant 4.4 in
-(288+616)-(151-335)=-720
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-133-4×9×23=-961
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
153-(510-474)÷4=144
Logics 0.2 in
-800÷(-5)÷4=40
Logics 1.2 in
2×30=60
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
246.005+454.479+249.2=949.684
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
12+46=58
Split 0.4 dn
-71-489.921=-560.921
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
-253.728-247.706=-501.434
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
-600+543.786+24.469=-31.745
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
-160-(170.28+536.543)=-866.823
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
10.368÷32=0.324
Denary 0.2 dp
1.32÷44÷0.6=0.05
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
0.8×54.675=43.74
Denary 2.3 dp
24.48÷3.2=7.65
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
4÷0.4×1.6=16
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
Definition 1.2 dp
30×1.12-13.33=20.27
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
30.4-8.16÷0.4=10
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
Negatory 2.3 dn
81.099+90.72÷2.835-87.099=26
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
1.32÷33=0.04
Fraction Examples
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
Numerator 1.3 fp
3782/351+9647/351=1033/27
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
29/5-28/5=1/5
Denominator 1.3 fn
-4959/115-642/23=-8169/115
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
Fragment 1.3 fp
61/2÷244/77=77/8
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
Fragment 3.1 fp
1/2×(9/2÷27/4)=1/3
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
Reduction 1.3 fp
2024/46=44/1
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
15/2÷60/7+61/8=17/2
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
-534091-302253 < 70395+49771
Ceil 1.4 in
-809034 < 652031
Ceil 2.4 in
-410000-51370 > -287597-173825
Ceil 3.4 in
-2×8 > 168000÷(-4)
Point 0.3 dp
2.718 < 2.731
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
0.75×29.44 < 18.785×4.8
Point 3.4 dp
280.824÷4 < 561.664÷8
Doted 0.3 dn
31.482+33.017 > -55.968+57.937
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
-277.04 < -225.364
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
Improper 0.3 fp
167/2÷835/618 > 15/2÷30/247
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
т нцор
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
est blish
English Vocabulary 2.4
horiz ntal
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
bid [bid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-1687-30×91=-4417
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
8712÷36=242
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
74÷2=37
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
0.52÷1.04=0.5
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(143.208÷3.4)÷405=0.104
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
309.816+1.84÷10=310
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
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
-1/5-7/15-1671/22=-5057/66
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
27/2×1/27×2/3=1/3
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
Limited 1.3 fp
152/3-12/13×133/18=570/13
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
Complete 0.2 fn
413/30+32/5×25/48=171/10
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
-1.728×15 < -145.348÷(-10.382)
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
-45457/472 < -807/10
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
5x2=405
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
3x2-3x-6=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=14
System 2.1 ip
90y÷10x=30
System 3.1 ip
x+4y=38
Set 0.1 in
y+3x=-24
Set 1.1 in
y+x=13
Set 2.1 in
-144x÷4y=-108
Set 3.1 in
-5y+5x=0
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
commis ion
English Vocabulary 2.5
encoura ement
English Vocabulary 3.4
or ginal
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
anal se [decompose]
Infinitive 1.3
win won [win]
Infinitive 3.2
fought [fight]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-975744÷44÷(12×22)=-84
Logics 1.4 in
243×426=103518
Logics 2.4 in
-230400÷96÷(-75)=32
Logics 3.4 in
1000÷(2000÷20)=10
Logics 4.4 in
-288000÷(100×(-40))×875=63000
Fraction Examples
Limited 0.3 fp
(115/137-61/137)×313/9=1878/137
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
Complete 2.3 fn
-351/908÷(1/10+2/5)=-351/454
Equations
Quadratic 0.2 in
94x2=84600
Quadratic 1.2 in
70x2=85750
Quadratic 2.2 in
-61x2-1220x=0
Quadratic 3.2 in
x2-56x+559=0
System 0.2 ip
20x×2y=40000
System 1.3 ip
x+y=1740
System 2.2 ip
y×9x=45000
System 3.2 ip
55y+44x=6490
Set 0.2 in
-y-x=-4
Set 1.2 in
-y-x=-4
Set 2.2 in
828x÷12y=-46
Set 3.2 in
-4y-69x=-2780
Language Exercises
Russian Vocabulary 3.5
н верх
English Vocabulary 3.5
c mfortably
Lexicon 2.5
pron nciation [utterance]
Infinitive 2.3
overdraw [overdraw]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
180x2=648000
Quadratic 1.3 in
231x2=1006236
Quadratic 2.3 in
950x2-148200x=0
Quadratic 3.3 in
2x2-892x+94458=0
System 0.3 ip
132x×6y=506880
System 2.3 ip
32x×11y=5896000
System 3.3 ip
48y-x=43360
Set 0.3 in
108y-930x=183060
Set 1.3 in
-y+x=101
Set 2.3 in
-10x×4y=-3149280
Set 3.3 in
821y+122x=-644484
Language Exercises
Infinitive 3.3
sight-read [sight-read]
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