MathExamle.com

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
 
6+
Recommended for children from six years
Integer Examples
 
Step-by-step Tasks
 
7+
Recommended for children from seven years
Integer Examples
 
 
 
 
 
 
 
Beginner 5.1 ip
10-(3+4)=3
Step-by-step Tasks
 
Comparisons
 
 
 
Natural 2.1 ip
1+3 < 10-1
Language Exercises
 
8+
Recommended for children from eight years
Integer Examples
 
 
Beginner 0.2 ip
11+(8-6)=13
 
Beginner 1.4 ip
283+511=794
 
Beginner 2.4 ip
797-67=730
 
Beginner 3.4 ip
990-50=940
 
 
Beginner 5.2 ip
10-(12-3)=1
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
70-30 < 87-30
 
Natural 3.1 ip
5×1 < 5×2
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
979-19-336=624
 
Beginner 5.3 ip
8+(21+71)=100
 
 
 
 
 
Cognizant 4.1 ip
30÷6×10=50
 
Cognizant 5.1 ip
(6×15)÷10=9
 
Cognizant 6.1 ip
9×(6÷3)×2=36
 
 
Column 1.2 ip
2600+1978=4578
 
Column 2.2 ip
2000-864=1136
 
Column 3.2 ip
7616-4368=3248
 
 
 
Numeracy 1.1 ip
46×3-90=48
 
Numeracy 2.1 ip
8+92÷2÷2=31
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #22
24÷2=12
 
Division #23
99÷11=9
 
Division #24
51÷3=17
 
 
Division #26
56÷4=14
 
 
 
Division #29
48÷4=12
 
Division #30
100÷50=2
 
 
 
Division #33
66÷6=11
 
Division #34
88÷8=11
 
Division #35
125÷5=25
 
Division #36
108÷9=12
 
 
Division #38
90÷10=9
 
Division #39
17÷1=17
 
Comparisons
 
 
 
 
Natural 2.3 ip
744-348 > 809-426
 
Natural 3.2 ip
4×4 < 11×4
Equations
 
 
 
 
Linear 3.1 ip
2-10÷x=1
Language Exercises
 
 
Russian Vocabulary 1.3
ант гуманный
 
Russian Vocabulary 2.2
аквар ум
 
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
570-23+355=902
 
Beginner 1.5 ip
108027+666122=774149
 
Beginner 2.5 ip
688969-34501=654468
 
Beginner 3.5 ip
949282-152711=796571
 
Beginner 5.4 ip
431-(247-156)=340
 
 
 
Cognizant 2.3 ip
6888÷3=2296
 
Cognizant 3.3 ip
17×91=1547
 
Cognizant 4.2 ip
400÷4÷2=50
 
Cognizant 5.2 ip
270÷(3×2)=45
 
Cognizant 6.2 ip
810÷(3×3)÷10=9
 
 
Column 1.3 ip
281269+628731=910000
 
Column 2.3 ip
820119-816514=3605
 
Column 3.3 ip
160633+200447=361080
 
Multiplier 1.2 ip
7925×4=31700
 
Multiplier 1.3 ip
1397×50=69850
 
Divisor 1.2 ip
938÷2=469
 
Numeracy 0.1 ip
64-4×12=16
 
Numeracy 1.2 ip
840÷15+312=368
 
Numeracy 2.2 ip
292+202×2-620=76
 
Numeracy 3.1 ip
21+(42-14)÷7=25
 
 
Comparisons
 
 
Natural 0.3 ip
740-15 > 869-389
 
Natural 1.4 ip
201882 < 931350
 
Natural 2.4 ip
385288+74712 < 994888-126225
 
Natural 3.3 ip
2×5 < 8×9
Equations
 
 
 
Linear 1.3 ip
x+136=763
 
Linear 2.3 ip
41×x=410
 
Linear 3.2 ip
80÷x+6=8
 
Linear 4.1 ip
2×(1+x)=10
Rounding
 
 
Round 1.1 ip
802≈80
 
Round 1.2 ip
1282≈13
 
Round 2.1 ip
256+245≈50
Language Exercises
 
 
 
 
 
Lexicon 1.2
soft y [gently]
 
Lexicon 2.2
m in [chief]
 
Infinitive 1.1
outthink       outthought [outthink]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
689169+235946=925115
 
Beginner 4.5 ip
170000+63167+23111=256278
 
Beginner 5.5 ip
581887-(122155+283170)=176562
 
 
Conversant 1.5 in
147594-525292=-377698
 
 
Cognizant 0.3 ip
8900÷100=89
 
Cognizant 4.3 ip
1320÷20÷2=33
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
 
Remainder 1.3 ip
271÷87=3(10)
 
Multiplier 1.4 ip
11125×800=8900000
 
Divisor 1.3 ip
7505÷79=95
 
Numeracy 0.2 ip
180×3+161=701
 
Numeracy 0.3 ip
7610-1020÷102=7600
 
Numeracy 1.3 ip
6000+80×175=20000
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
84+(576-76)÷4=209
 
Numeracy 3.3 ip
297+(747-702)÷15=300
 
 
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
 
 
Partitive 0.1 dp
2.5+8-3=7.5
 
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
 
 
Partitive 1.2 dp
72.4-24.6=47.8
 
Partitive 2.1 dp
1.5+2.1+0.6=4.2
 
Partitive 2.2 dp
91.9-40-49.9=2
 
Partitive 3.1 dp
1.2+(0.9+5)=7.1
 
Partitive 3.2 dp
22.1+(9-0)=31.1
 
Divisional 1.1 dp
3.3÷0.6=5.5
 
Denary 1.1 dp
0.6×60=36
 
Denary 2.1 dp
97.2÷1.5=64.8
 
Denary 3.1 dp
7×1.2=8.4
 
Fraction Examples
 
 
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
 
 
Natural 0.4 ip
527041+91192 > 987931-586331
 
Natural 3.4 ip
2691×86 > 2×1274
 
Ceil 0.1 in
6+1 > -4-3
 
 
Ceil 2.1 in
10-5 > 10-9
 
Ceil 3.1 in
-2×4 < 6÷2
 
Point 1.1 dp
11.6 < 65.2
 
Point 2.1 dp
85-17.8 > 58.6-56.1
 
 
Improper 1.2 fp
23/14 < 54/7
 
Improper 2.1 fp
3/5-2/5 < 1/4+1/4
Equations
 
 
Linear 0.2 ip
48÷x-1=1
 
Linear 0.3 ip
352÷(5+x)=32
 
Linear 3.3 ip
180-720÷x=0
 
Linear 4.2 ip
(15+x)×2=30
 
Linear 4.3 ip
714÷(x+1)=51
 
 
Rounding
 
 
 
Rounding 2.1 dp
2.8+54.2≈57
 
Round 0.1 ip
9×101≈91
 
Round 0.2 ip
4×2234≈89
 
Round 0.3 ip
727×1288≈936
 
Round 1.3 ip
425693≈426
 
Round 2.2 ip
7376-3006≈44
 
Round 2.3 ip
476428-337943≈138
 
Round 3.1 ip
3×193≈58
 
Round 3.2 ip
5770÷10≈6
 
Round 3.3 ip
317850÷489≈1
Language Exercises
 
 
Russian Vocabulary 1.4
иллюм нация
 
Russian Vocabulary 3.3
пр дирчиво
 
 
 
 
Lexicon 1.3
 lly [join]
 
Infinitive 2.1
take             [take]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-36+10-42=-68
 
 
 
Conversant 3.3 in
-52-(-74-18)=40
 
Conversant 4.1 in
-(0+0)+(4-3)=1
 
Conversant 4.2 in
-(9-19)-(11+5)=-6
 
Conversant 4.3 in
(97+48)-(25+73)=47
 
Cognizant 0.4 ip
7560÷42=180
 
Cognizant 1.4 ip
738×345=254610
 
Cognizant 2.4 ip
430000÷200=2150
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
583200÷72÷4=2025
 
Cognizant 5.4 ip
24000÷(48÷3)=1500
 
Cognizant 6.4 ip
744192÷64÷(19×34)=18
 
Multiplier 1.5 ip
15213×5107=77692791
 
Divisor 1.4 ip
49987÷37=1351
 
Intellect 0.1 in
-45÷5-51=-60
 
Intellect 1.1 in
73-6×22=-59
 
Intellect 2.1 in
23+24÷4+41=70
 
Intellect 3.1 in
65+21÷(26-5)=66
 
Logics 0.1 in
-66÷(-36÷6)×5=55
 
 
Logics 2.1 in
10×(-3)×(-3)=90
 
Logics 3.1 in
(36÷6)×5=30
 
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
 
Divisor_ENG 1.4 ip
90000÷36=2500
Decimal Examples
 
 
Partitive 0.3 dp
10.97-(10-7.29)=8.26
 
Partitive 1.3 dp
47.47-7.76=39.71
 
Partitive 2.3 dp
12.65+34.4+40.93=87.98
 
Partitive 3.3 dp
81.49+(73-57.47)=97.02
 
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
 
Split 0.2 dn
2.5-(-61.3-32)=95.8
 
Split 1.1 dn
-1.2-5.1=-6.3
 
Split 1.2 dn
-16.6+94.5=77.9
 
Split 2.1 dn
-3.1-7+4=-6.1
 
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
-17.4-(0.6-30.2)=12.2
 
 
Divisional 1.2 dp
2.86÷0.13=22
 
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
 
Denary 1.2 dp
82×0.01=0.82
 
Denary 2.2 dp
43.2÷72=0.6
 
Denary 3.2 dp
8×0.27=2.16
 
Denary 4.1 dp
13×1.5×1.2=23.4
 
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
 
Definition 0.1 dp
30.4-4÷0.5=22.4
 
Definition 1.1 dp
11.1+3.8×3=22.5
 
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
 
Definition 3.1 dp
0.8×(23.9-21.4)×10=20
 
Negatory 1.1 dn
-10.2-15.6÷2.4=-16.7
 
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
 
 
Fraction Examples
 
 
Numerator 0.1 fp
1/3+1/2=5/6
 
Numerator 0.2 fp
55/6+5/6=10/1
 
Numerator 1.2 fp
13/33+379/99=38/9
 
Numerator 2.1 fp
1/4+1/4+1/4=3/4
 
Numerator 2.2 fp
7/16+1/16+29/10=17/5
 
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
 
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
 
 
Denominator 1.1 fn
-1/2-1/5=-7/10
 
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
 
Denominator 3.1 fn
-1/2-(1/4-1/4)=-1/2
 
Fragment 1.1 fp
2/5×5/8=1/4
 
Fragment 1.2 fp
33/2÷99/26=13/3
 
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
 
 
Reduction 1.2 fp
550/572=25/26
 
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
 
 
Ceil 0.2 in
100 > -74
 
Ceil 0.3 in
-735 < 706
 
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
-4+57 > 24+13
 
Ceil 2.3 in
-172-301 < 70+250
 
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
 
Ceil 3.3 in
-84×(-9) > 150×3
 
Point 0.1 dp
1.8×5 = 45.9÷5.1
 
Point 0.2 dp
31.69+5.5 > 63-25.82
 
Point 1.2 dp
79.92 > 79.9
 
Point 1.3 dp
93.309 > 44
 
Point 1.4 dp
316.199 < 316.219
 
Point 2.2 dp
70.62-25.85 = 26.99+17.78
 
Point 2.3 dp
95.598-3.355 = 99.734-7.491
 
Point 3.1 dp
20.3÷2.9 < 94.5÷5
 
Point 3.2 dp
28×1.8 > 18.36÷2
 
Doted 0.1 dn
15.2+3.5 > -18-10.2
 
Doted 0.2 dn
58.53-7.3 > -81.46+100
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
76.46 < 97.17
 
Doted 2.1 dn
-1.5+100 > 62.2+3.8
 
Doted 2.2 dn
26.39+57.35 > 2.22+1.44
 
Doted 3.1 dn
1.5×16.8 > -2.5×(-8)
 
Doted 3.2 dn
2.5×3 < -15×(-2.3)
 
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
 
Improper 0.2 fp
12/83 < 27/11
 
Improper 1.3 fp
14/1 < 85/1
 
Improper 2.2 fp
1/3+25/8 > 23/3-241/42
 
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
 
Improper 3.1 fp
1/2×4/5 > 3/5×5/9
 
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
 
Descent 1.1 fn
7/8 > -2/5
 
Descent 1.2 fn
-373/73 < 5/1
 
Descent 2.1 fn
1/5+3/5 = -1/5+1/1
Equations
 
 
Lineal 0.1 in
-x÷(-2)=-1
 
Lineal 0.2 in
56÷(x+78)=7
 
Lineal 1.2 in
-97+x=-37
 
Lineal 1.3 in
53+x=-400
 
 
Lineal 2.3 in
-x÷26=-15
 
Lineal 3.1 in
-x÷10-9=-8
 
Lineal 3.2 in
x÷10+1=-1
 
Lineal 4.1 in
-(-5-x)×2=-10
 
Lineal 4.2 in
-6×(-72+x)=72
Rounding
 
 
Rounding 0.1 dp
80.9-15.9≈65
 
Rounding 0.2 dp
30.97≈31
 
Rounding 1.2 dp
17.03≈17
 
Rounding 1.3 dp
42.109≈42.11
 
Rounding 2.2 dp
52.06+0.95≈53
 
Rounding 2.3 dp
15.449+57.622≈73.07
 
Rounding 3.1 dp
21.7÷37.3≈1
 
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
stri ed [streaked]
 
Infinitive 1.2
typecast typecast       [typecast]
 
Infinitive 3.1
dream             [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-287+656=369
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-110-610=-720
 
Conversant 2.4 in
497+571-180=888
 
Conversant 2.5 in
-325759+772245-446486=0
 
Conversant 3.4 in
622-(-707+509)=820
 
Conversant 3.5 in
521004+(-874424+243978)=-109442
 
Conversant 4.4 in
-(92-67)+(152+426)=553
 
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
 
Divisor 1.5 ip
900000÷500=1800
 
Intellect 0.2 in
52÷2-236=-210
 
Intellect 1.2 in
10×2+312=332
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
326-(-37-39)÷4=345
 
Logics 0.2 in
-210÷(6÷(-3))=105
 
Logics 1.2 in
-10×20=-200
 
Logics 2.2 in
5×(-10)÷2=-25
 
Logics 3.2 in
(20×(-50))÷(-25)=40
 
Logics 4.2 in
5×(-2)×(5×7)=-350
 
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
 
 
Partitive 0.4 dp
18+(462+194.741)=674.741
 
Partitive 1.4 dp
589.082-100=489.082
 
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
56.67-(-58.06+34.73)=80
 
Split 0.4 dn
-230+(-50-620)=-900
 
Split 1.3 dn
-93.76+11=-82.76
 
Split 1.4 dn
-391.575+236.8=-154.775
 
Split 2.3 dn
-69.23+90.32-50.09=-29
 
Split 2.4 dn
-600+543.786+24.469=-31.745
 
Split 3.3 dn
-95.7-(-52.69+11.29)=-54.3
 
Split 3.4 dn
105.845-(-165.539+141.384)=130
 
Residual 1.2 dp
32÷20=1.6
 
Divisional 1.3 dp
0.018÷2=0.009
 
Denary 0.2 dp
0.5×16=8
 
Denary 0.3 dp
4.86÷5.625=0.864
 
Denary 1.3 dp
25.6×0.625=16
 
Denary 2.3 dp
24.48÷3.2=7.65
 
Denary 3.3 dp
79.596÷4.752=16.75
 
Denary 4.2 dp
2÷0.08×0.32=8
 
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
(35.858÷17.929)×0.002=0.004
 
Definition 0.2 dp
2.16×45-15.01=82.19
 
Definition 1.2 dp
90.68-1.6×12.5=70.68
 
Definition 1.3 dp
54×1.76-67.04=28
 
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
 
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
 
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
56.77+3×10.4=87.97
 
Negatory 1.2 dn
24+18.75×0.32=30
 
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
 
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
 
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
 
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
 
Negatory 3.2 dn
(0.5+0.78)×(-4.33-6.67)=-14.08
 
 
Divisional_ENG 1.3 dp
0.092÷5.75=0.016
Fraction Examples
 
 
Numerator 0.3 fp
227/3-2/3-118/3=107/3
 
Numerator 1.3 fp
127/9+89/9=24/1
 
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
 
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
 
Denominator 0.2 fn
4/3-17/2+2/3=-13/2
 
Denominator 1.2 fn
23/9+31/9=6/1
 
Denominator 1.3 fn
-53495/666+13/18=-26507/333
 
Denominator 2.2 fn
757/77-1/3-20/21=94/11
 
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
 
Fragment 0.1 fp
3/2×2/3=1/1
 
Fragment 0.2 fp
6/7÷4/35×1/10=3/4
 
Fragment 1.3 fp
49/96×2586/49=431/16
 
Fragment 2.2 fp
23/6÷115/18×130/3=26/1
 
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
 
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
 
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
 
Reduction 1.3 fp
56368/572=1084/11
 
Limited 0.1 fp
35/4×2/5-17/8=11/8
 
Limited 1.2 fp
51/2÷85/6+443/40=103/8
 
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
 
Complete 0.1 fn
39/4-5/2÷10/3=9/1
 
Complete 1.1 fn
61/8-15/4÷5/9=7/8
 
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
 
Complete 2.1 fn
-1/2×(7/3-10/3)=1/2
Comparisons
 
 
Ceil 0.4 in
501900 > -501900
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
120018+819982 > -357084+925279
 
Ceil 3.4 in
-2×8 > 168000÷(-4)
 
Point 0.3 dp
70.062-9.497 > 27.029+9.946
 
Point 0.4 dp
7.28×7.5 < 1.875×240
 
Point 2.4 dp
707.652+80.746 = 130.247+658.151
 
Point 3.3 dp
2.5×3.456 < 2×8.4
 
Point 3.4 dp
6.4×5 < 64.026÷2
 
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
 
Doted 1.3 dn
-46.331 < 52
 
Doted 1.4 dn
-370.644 < 939.731
 
Doted 2.3 dn
-27.286+98.194 > -2-0.119
 
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
 
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
 
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
 
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
 
Descent 0.1 fn
1/4+3/4 > 1/1-4/5
 
Descent 0.2 fn
127/21 > 256/63
 
Descent 1.3 fn
53437/604 > -13406/151
 
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
 
Descent 3.1 fn
1/2×2/5 > 1/5÷(-1/3)
 
Descent 3.2 fn
-1/2×(-6/1) > 5/1×8/15
Equations
 
 
 
Lineal 3.3 in
29-767÷x=88
 
Lineal 4.3 in
48×(x-769)=-624
 
Rounding
 
 
Rounding 0.3 dp
2.193×30.124≈66.06
 
Rounding 3.3 dp
16×5≈80
Language Exercises
 
 
Russian Vocabulary 1.5
диф рамб
 
Russian Vocabulary 3.4
систем тически
 
 
 
Lexicon 1.4
poi onous [noxious]
 
Infinitive 2.2
      woke       [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
 
Intellect 1.3 in
6600-100×100=-3400
 
Intellect 2.3 in
-5264×11-91×56=-63000
 
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
 
Logics 0.3 in
3168÷2÷(-4)=-396
 
Logics 1.3 in
-2500÷10=-250
 
Logics 2.3 in
-15×500÷(-2)=3750
 
Logics 3.3 in
3×(36×(-40))=-4320
 
Logics 4.3 in
77×(-25)×(-45÷(-15))=-5775
Decimal Examples
 
 
Residual 1.3 dp
20÷80=0.25
 
Denary 0.4 dp
167.552÷152.32=1.1
 
Denary 1.4 dp
50.625×0.384=19.44
 
Denary 2.4 dp
0.506÷5.06=0.1
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
28.56÷10÷6.8=0.42
 
Denary 5.4 dp
(99×5.06)÷3.3=151.8
 
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
 
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
 
Definition 1.4 dp
1.656÷41.4+695.533=695.573
 
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
 
Definition 3.3 dp
2.78×(0.725+8.575)÷34.472=0.75
 
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
 
Negatory 0.3 dn
-25.734+8×8.918=45.61
 
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
 
Negatory 1.4 dn
2.7×17.55-15.385=32
 
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
 
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
 
Negatory 3.4 dn
20+(0.534+0.066)÷0.003=220
 
Fraction Examples
 
 
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
 
Denominator 2.3 fn
260/7+153/7-28589/479=-328/479
 
Denominator 3.3 fn
83/234+(-1/42-1/252)=17/52
 
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
 
Fragment 3.3 fp
(43/50÷43/20)×91/9=182/45
 
Limited 0.2 fp
777/40×(87/7-82/7)=111/8
 
Limited 1.3 fp
12/299+2/9÷13/18=8/23
 
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
 
Complete 0.2 fn
41/44-85/9÷748/63=3/22
 
Complete 1.3 fn
212/981-19/48×30488/327=-23995/654
 
Complete 2.2 fn
1551/32×(-2/5-18/55)=-141/4
Comparisons
 
 
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
 
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
 
Descent 0.3 fn
-45457/472 < -807/10
 
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
 
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
 
 
 
 
 
 
 
 
System 2.1 ip
7y×x=280
 
 
Set 0.1 in
-3y×12x=-324
 
 
Set 2.1 in
2x×13y=390
 
Set 3.1 in
-5x-5y=-5
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
grandda ghter [relative]
 
Lexicon 2.4
anal se [decompose]
 
Infinitive 1.3
win won       [win]
 
Infinitive 3.2
            sat [sit]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
10×(-100)=-1000
 
Logics 1.4 in
-208÷(-26)=8
 
Logics 2.4 in
-63×(-159)×41=410697
 
Logics 3.4 in
24×(354×62)=526752
 
Logics 4.4 in
-17×(-39)×(10×24)=159120
Fraction Examples
 
 
Limited 0.3 fp
62/221×65/496+13/24=59/102
 
Limited 2.3 fp
(367/760+93/760)×15599/598=821/52
 
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
 
Complete 2.3 fn
-193/14÷(-1/11-4/77)=193/2
Equations
 
 
Quadratic 0.2 in
28x2-1120x=0
 
 
Quadratic 2.2 in
-72x2-5760x=0
 
Quadratic 3.2 in
2x2+34x-540=0
 
 
 
 
System 3.2 ip
60x-20y=60
 
Set 0.2 in
-y-x=-4
 
 
Set 2.2 in
29568y÷77x=-4480
 
Set 3.2 in
49x+95y=11550
Language Exercises
 
 
 
 
Lexicon 2.5
surpri ingly [amazingly]
 
Infinitive 2.3
buy             [buy]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
678x2=43392
 
Quadratic 1.3 in
812x2=6005552
 
Quadratic 2.3 in
276x2+2760x=0
 
Quadratic 3.3 in
3x2+288x+6045=0
 
System 0.3 ip
89y+72x=87280
 
System 2.3 ip
38x×2y=2708640
 
System 3.3 ip
20y+13x=22499
 
Set 0.3 in
18480y÷88x=525
 
Set 1.3 in
-y+x=590
 
Set 2.3 in
16y×x=-8000000
 
Set 3.3 in
-32y-4x=27116
Language Exercises
 
 
Infinitive 3.3
refit             [refit]

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