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 4.2 ip
20-13+5=12
 
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
8+
Recommended for children from eight years
Integer Examples
 
 
 
 
 
Beginner 3.4 ip
20+703=723
 
Beginner 4.3 ip
52-48+6=10
 
Beginner 5.2 ip
20-(6+10)=4
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
20+53 > 6+14
 
Natural 3.1 ip
3÷3 < 8÷4
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
12+(50+36)=98
 
Beginner 4.4 ip
145+173+372=690
 
Beginner 5.3 ip
97-(5+60)=32
 
 
 
 
 
 
Cognizant 5.1 ip
3×(4×2)=24
 
Cognizant 6.1 ip
4×(8÷2)÷2=8
 
 
Column 1.2 ip
4320+5659=9979
 
Column 2.2 ip
8000-483=7517
 
Column 3.2 ip
2313+7687=10000
 
 
 
Numeracy 1.1 ip
72÷2-16=20
 
Numeracy 2.1 ip
42-40÷20+36=76
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
44÷11=4
 
 
Division #25
26÷2=13
 
Division #26
56÷4=14
 
Division #27
95÷5=19
 
Division #28
24÷2=12
 
Division #29
54÷3=18
 
Division #30
100÷50=2
 
Division #31
60÷6=10
 
Division #32
119÷7=17
 
 
Division #34
88÷8=11
 
Division #35
60÷10=6
 
Division #36
108÷9=12
 
 
Division #38
420÷20=21
 
 
Comparisons
 
 
Natural 0.2 ip
56-35 > 10+4
 
 
Natural 2.3 ip
671-177 = 980-486
 
Natural 3.2 ip
100÷50 < 3×26
Equations
 
 
 
 
Linear 3.1 ip
x÷4+8=10
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
764-(85+224)=455
 
Beginner 1.5 ip
454839+475161=930000
 
Beginner 2.5 ip
691254-681381=9873
 
Beginner 3.5 ip
837697-262637=575060
 
Beginner 5.4 ip
431-(247-156)=340
 
 
Cognizant 1.3 ip
56×72=4032
 
Cognizant 2.3 ip
8010÷10=801
 
Cognizant 3.3 ip
87×85=7395
 
Cognizant 4.2 ip
400÷4÷2=50
 
Cognizant 5.2 ip
(69÷3)÷23=1
 
Cognizant 6.2 ip
17×(39÷3)÷221=1
 
Remainder 1.2 ip
111÷11=10(1)
 
Column 1.3 ip
157000+281637=438637
 
Column 2.3 ip
949800-642000=307800
 
Column 3.3 ip
796529+201471=998000
 
Multiplier 1.2 ip
9047×2=18094
 
Multiplier 1.3 ip
2373×47=111531
 
Divisor 1.2 ip
1000÷4=250
 
Numeracy 0.1 ip
54÷6+68÷4=26
 
Numeracy 1.2 ip
137×3+376=787
 
Numeracy 2.2 ip
124+92÷23+422=550
 
Numeracy 3.1 ip
(4+7)×(7+2)=99
 
 
Comparisons
 
 
Natural 0.3 ip
2×24 < 4×19
 
Natural 1.4 ip
920151 > 560411
 
Natural 2.4 ip
895326+79974 > 602031-124272
 
Natural 3.3 ip
536÷67 = 4×2
Equations
 
 
 
Linear 1.3 ip
x-250=240
 
 
Linear 3.2 ip
47+x×4=47
 
Linear 4.1 ip
3×(9-x)=9
Rounding
 
 
Round 1.1 ip
256≈26
 
Round 1.2 ip
8686≈87
 
Round 2.1 ip
28+24≈5
Language Exercises
 
 
Russian Vocabulary 2.3
п недельник
 
 
 
Lexicon 1.2
t mato [love apple]
 
Lexicon 2.2
l kely [probably]
 
Infinitive 1.1
undergo       undergone [undergo]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
1961+910910=912871
 
Beginner 4.5 ip
114479+71580+313941=500000
 
Beginner 5.5 ip
517108+(102556+80200)=699864
 
 
Conversant 1.5 in
-670307-6323=-676630
 
 
Cognizant 0.3 ip
160÷16÷2=5
 
Cognizant 4.3 ip
5×15×32=2400
 
Cognizant 5.3 ip
(300÷6)×180=9000
 
Cognizant 6.3 ip
4×3×(23×11)=3036
 
Remainder 1.3 ip
882÷10=88(2)
 
Multiplier 1.4 ip
22227×233=5178891
 
Divisor 1.3 ip
4080÷12=340
 
Numeracy 0.2 ip
570-800÷(280-272)=470
 
Numeracy 0.3 ip
1155+96÷32=1158
 
Numeracy 1.3 ip
544-2100÷14=394
 
Numeracy 2.3 ip
695+2000÷16÷25=700
 
Numeracy 3.2 ip
492+360÷(59-57)=672
 
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
 
Divisor_ENG 1.3 ip
8897÷31=287
 
Decimal Examples
 
 
Partitive 0.1 dp
9-(9.4-7.5)=7.1
 
Partitive 0.2 dp
70.2-39.4+6=36.8
 
 
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
67.4+31.9-46.5=52.8
 
Partitive 3.1 dp
2.4+(0.1+1)=3.5
 
Partitive 3.2 dp
22.1+(9-0)=31.1
 
Divisional 1.1 dp
3.3÷0.6=5.5
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
96÷1.5=64
 
Denary 3.1 dp
1.4×2.5=3.5
 
Fraction Examples
 
 
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
 
 
Natural 0.4 ip
416595 < 610000
 
Natural 3.4 ip
490000÷50 > 544×18
 
Ceil 0.1 in
-2×(-3) > 10÷(-10)
 
 
Ceil 2.1 in
-9-0 < 7+0
 
Ceil 3.1 in
8÷4 < 8÷2
 
Point 1.1 dp
78.7 > 29.7
 
Point 2.1 dp
12.8+7.6 < 81.5-54.2
 
 
Improper 1.2 fp
90/47 < 4/1
 
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
 
 
 
Linear 0.3 ip
352÷(5+x)=32
 
Linear 3.3 ip
459÷x+539=590
 
Linear 4.2 ip
68÷(14+x)=2
 
Linear 4.3 ip
253×(x-643)=0
 
 
Lineal 2.1 in
-x×(-4)=8
Rounding
 
 
 
Rounding 2.1 dp
94.7-16.4≈78
 
Round 0.1 ip
529≈53
 
Round 0.2 ip
3×1404≈42
 
Round 0.3 ip
250235≈250
 
Round 1.3 ip
674799≈675
 
Round 2.2 ip
1780+667≈24
 
Round 2.3 ip
220000+66769≈287
 
Round 3.1 ip
11×91≈100
 
Round 3.2 ip
1123×3≈34
 
Round 3.3 ip
737856÷122≈6
Language Exercises
 
 
Russian Vocabulary 1.4
цив лизованный
 
Russian Vocabulary 3.3
гр мматика
 
 
 
 
Lexicon 1.3
brin  [bear]
 
Infinitive 2.1
backslide             [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-7+14-37=-30
 
 
Conversant 3.2 in
-10-(17-11)=-16
 
Conversant 3.3 in
-3-(-11+100)=-92
 
Conversant 4.1 in
(9-3)-(8+5)=-7
 
Conversant 4.2 in
-(14-20)-(19-10)=-3
 
Conversant 4.3 in
-(100-100)-(49-19)=-30
 
Cognizant 0.4 ip
20÷2×(78÷13)=60
 
Cognizant 1.4 ip
100×142=14200
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
849×664=563736
 
Cognizant 4.4 ip
25×16×1000=400000
 
Cognizant 5.4 ip
200×(25×5)=25000
 
Cognizant 6.4 ip
417×32×(66÷22)=40032
 
Multiplier 1.5 ip
71200×1008=71769600
 
Divisor 1.4 ip
6250÷25=250
 
Intellect 0.1 in
-12÷2-75÷3=-31
 
 
Intellect 2.1 in
23+24÷4+41=70
 
Intellect 3.1 in
-18-92÷(43-41)=-64
 
Logics 0.1 in
-36÷(-12÷(-6))=-18
 
Logics 1.1 in
-50÷5=-10
 
Logics 2.1 in
-16÷4×2=-8
 
Logics 3.1 in
-90÷(-2×9)=5
 
Logics 4.1 in
64÷(-2×4)÷4=-2
 
Divisor_ENG 1.4 ip
11135÷17=655
Decimal Examples
 
 
Partitive 0.3 dp
64.5+15.95=80.45
 
Partitive 1.3 dp
16.63+65.61=82.24
 
Partitive 2.3 dp
63.13-32.42-11=19.71
 
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
 
Split 0.1 dn
-7.5+0.5=-7
 
Split 0.2 dn
55.8-34=21.8
 
Split 1.1 dn
2-9.2=-7.2
 
Split 1.2 dn
5.9+73.4=79.3
 
Split 2.1 dn
4.7+6.9-9.7=1.9
 
Split 2.2 dn
-45.3-30-10=-85.3
 
Split 3.1 dn
3.7-(-3-2.4)=9.1
 
Split 3.2 dn
-5-(8.1+52.6)=-65.7
 
Residual 1.1 dp
34÷10=3.4
 
Divisional 1.2 dp
80.64÷4.2=19.2
 
Denary 0.1 dp
4.5×0.8=3.6
 
Denary 1.2 dp
2×1.71=3.42
 
Denary 2.2 dp
10.64÷19=0.56
 
Denary 3.2 dp
1.2÷0.5=2.4
 
Denary 4.1 dp
100÷2.5÷10=4
 
Denary 5.1 dp
7.6÷(76×0.2)=0.5
 
Definition 0.1 dp
71+(25.7-24.5)÷0.8=72.5
 
Definition 1.1 dp
1÷0.5+59.3=61.3
 
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
 
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
 
Negatory 1.1 dn
-99+1.9×24=-53.4
 
Negatory 2.1 dn
89+50.4÷56-56.2=33.7
 
 
Fraction Examples
 
 
Numerator 0.1 fp
4/9+2/9+1/6=5/6
 
Numerator 0.2 fp
29/5-(59/30-13/18)=41/9
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
1/3-2/9+2/3=7/9
 
Numerator 2.2 fp
41/9-68/15+14/45=1/3
 
Numerator 3.1 fp
5/9-(1/9+2/9)=2/9
 
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
 
Denominator 0.1 fn
-8/9+1/9=-7/9
 
Denominator 1.1 fn
-7/10+1/5=-1/2
 
Denominator 2.1 fn
2/9-2/9-1/3=-1/3
 
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
 
Fragment 1.1 fp
2/5×5/8=1/4
 
Fragment 1.2 fp
33/2÷99/26=13/3
 
Fragment 2.1 fp
1/2÷3/4÷5/3=2/5
 
 
 
Limited 1.1 fp
5/6÷15/2+1/3=4/9
Comparisons
 
 
Ceil 0.2 in
2+4 > -31+25
 
Ceil 0.3 in
-842÷(-2) > -840÷24
 
Ceil 1.2 in
-61 < 86
 
Ceil 1.3 in
-520 < 700
 
Ceil 2.2 in
-14+74 > -30-60
 
Ceil 2.3 in
-726+210 < 848-597
 
Ceil 3.2 in
-12×(-3) > 68÷(-2)
 
Ceil 3.3 in
828÷(-138) > 16×(-6)
 
Point 0.1 dp
1.8×5 = 45.9÷5.1
 
Point 0.2 dp
40.02 < 48
 
Point 1.2 dp
77.77 > 77.76
 
Point 1.3 dp
34.588 > 23
 
Point 1.4 dp
570 < 697.732
 
Point 2.2 dp
9.2+50.64 > 0.89+11.16
 
Point 2.3 dp
39.844-21.759 < 80.249-59.756
 
Point 3.1 dp
0.8×80 > 75.6÷5.4
 
Point 3.2 dp
63.76÷8 > 3.18×2.5
 
Doted 0.1 dn
15.2+3.5 > -18-10.2
 
Doted 0.2 dn
-95.2÷(-1.36) > 99.6÷1.66
 
Doted 1.1 dn
28.1 < 33.6
 
Doted 1.2 dn
76.46 < 97.17
 
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
-0.8×2 > 40÷(-2)
 
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
 
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
71115/751 > 344/5
 
Improper 2.2 fp
14/3+25/39 > 49/5-347/65
 
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
 
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
 
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
 
Descent 1.1 fn
4/5 > -1/3
 
Descent 1.2 fn
367/50 > -503/70
 
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
 
 
 
Lineal 0.2 in
-x÷12-3=0
 
 
 
 
Lineal 2.3 in
-x×61=-610
 
Lineal 3.1 in
10÷x+8=9
 
Lineal 3.2 in
67-70÷x=62
 
Lineal 4.1 in
-4×(3-x)=4
 
Lineal 4.2 in
-36÷(98+x)=18
Rounding
 
 
 
Rounding 0.2 dp
21.52≈21.5
 
Rounding 1.2 dp
20.35≈20.4
 
Rounding 1.3 dp
59.997≈60
 
Rounding 2.2 dp
54.99-15.71≈39.3
 
Rounding 2.3 dp
15.449+57.622≈73.07
 
Rounding 3.1 dp
25×1.4≈35
 
Rounding 3.2 dp
7.42×10≈74.2
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
gr nd [lordly]
 
Infinitive 1.2
rewrite rewrote       [rewrite]
 
Infinitive 3.1
dream             [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
171-275=-104
 
Conversant 0.5 in
-203504-502786-200000=-906290
 
Conversant 1.4 in
151-465=-314
 
Conversant 2.4 in
-94-307+971=570
 
Conversant 2.5 in
548078-39883+61370=569565
 
Conversant 3.4 in
225+(429-110)=544
 
Conversant 3.5 in
866806+(-785762+337452)=418496
 
Conversant 4.4 in
(2+962)+(310-484)=790
 
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
 
Divisor 1.5 ip
2626293÷373=7041
 
Intellect 0.2 in
-105-2×220=-545
 
Intellect 1.2 in
-68÷4-536=-553
 
Intellect 2.2 in
63+141×10-594=879
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
 
 
Logics 2.2 in
50÷10×40=200
 
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
 
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
 
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
 
 
Partitive 0.4 dp
524.517-(21.608+486.975)=15.934
 
Partitive 1.4 dp
427.596-254.6=172.996
 
Partitive 2.4 dp
457.221-96.696-169.921=190.604
 
Partitive 3.4 dp
231.117+(5.773+567.584)=804.474
 
Split 0.3 dn
-87.46+(-90+98.79)=-78.67
 
Split 0.4 dn
-230+(-50-620)=-900
 
Split 1.3 dn
-44.39-35.61=-80
 
Split 1.4 dn
488.989+344.754=833.743
 
Split 2.3 dn
-69.23+90.32-50.09=-29
 
Split 2.4 dn
229.33+405.892-147.64=487.582
 
Split 3.3 dn
-94.58-(-12-47.58)=-35
 
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
 
 
Divisional 1.3 dp
0.924÷0.5=1.848
 
Denary 0.2 dp
3.75×0.04=0.15
 
Denary 0.3 dp
31.68÷5.5=5.76
 
Denary 1.3 dp
2.5×5.904=14.76
 
Denary 2.3 dp
24.48÷1.224=20
 
Denary 3.3 dp
24×0.004=0.096
 
Denary 4.2 dp
0.8×0.75÷30=0.02
 
Denary 4.3 dp
3.125×12.8×0.88=35.2
 
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
 
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
 
Definition 0.2 dp
11.4+1.6÷40+43.01=54.45
 
Definition 1.2 dp
2÷0.8+67.5=70
 
Definition 1.3 dp
65.713+3.519×4=79.789
 
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
 
Definition 2.3 dp
37.337+26.01÷15÷1.734=38.337
 
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
-2.88×0.25-3.2÷12.8=-0.97
 
Negatory 1.2 dn
27.97+24.64÷8=31.05
 
Negatory 1.3 dn
-4.1×16+93.42=27.82
 
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
 
Negatory 2.3 dn
-15.912÷13-46.872÷2.88=-17.499
 
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
 
Negatory 3.2 dn
96.9÷(-0.74-1.81)÷50=-0.76
 
 
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
 
 
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
 
Numerator 1.3 fp
4264/695+1556/695=1164/139
 
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
 
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
 
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
 
Denominator 1.2 fn
-299/30+3/2=-127/15
 
Denominator 1.3 fn
-380/13+770/13=30/1
 
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
 
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
 
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
 
Fragment 0.2 fp
1/3×51/19×741/17=39/1
 
Fragment 1.3 fp
17/7÷17/28=4/1
 
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
 
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
 
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
 
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
 
Reduction 1.3 fp
330/60=11/2
 
Limited 0.1 fp
3/2×14/9+2/3=3/1
 
Limited 1.2 fp
95/3÷19/28-29/3=37/1
 
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
 
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
 
Complete 1.1 fn
-48/5+1/4÷5/2=-19/2
 
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
 
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
 
 
Ceil 0.4 in
89146 < 172997
 
Ceil 1.4 in
115004 > -118056
 
Ceil 2.4 in
766099-218093 > -843637+145103
 
Ceil 3.4 in
-668800÷2 > -788012÷2
 
Point 0.3 dp
46.453-6.383 > 48.731-8.667
 
Point 0.4 dp
241.937+48.063 < 320.282+452.885
 
Point 2.4 dp
280.564+165.62 = 730-283.816
 
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
 
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
 
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
 
Doted 1.3 dn
10.084 < 12.192
 
Doted 1.4 dn
-747.155 = -747.155
 
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
 
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
 
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
 
Improper 0.3 fp
473/10 < 11159/150
 
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
 
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
 
Descent 0.2 fn
40/9÷(-60/67) < 5/2×(-12/35)
 
Descent 1.3 fn
213/254 < 9715/381
 
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
 
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
 
 
Lineal 0.3 in
32×(-x)=960
 
Lineal 3.3 in
29×x+848=-892
 
Lineal 4.3 in
-756÷(-937+x)=36
 
Rounding
 
 
Rounding 0.3 dp
79÷84.703≈0.93
 
Rounding 3.3 dp
0.445×59.384≈26.43
Language Exercises
 
 
Russian Vocabulary 1.5
ц ллюлоза
 
Russian Vocabulary 3.4
к рректный
 
 
 
Lexicon 1.4
campai n [crusade]
 
Infinitive 2.2
            stridden [stride]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
3224×11+4536=40000
 
Intellect 1.3 in
-1326-40×60=-3726
 
Intellect 2.3 in
-2726-50×22×75=-85226
 
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
 
Logics 0.3 in
-5508÷(2×162)×(-99)=1683
 
Logics 1.3 in
495÷(-15)=-33
 
Logics 2.3 in
80÷(-20)÷(-2)=2
 
Logics 3.3 in
-528÷(16×(-3))=11
 
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
 
 
Residual 1.3 dp
63÷4=15.75
 
Denary 0.4 dp
718.08÷5.984=120
 
Denary 1.4 dp
17.25×0.004=0.069
 
Denary 2.4 dp
5.28÷0.528=10
 
Denary 3.4 dp
51.48÷3.75=13.728
 
Denary 4.4 dp
0.76÷6.08÷125=0.001
 
Denary 5.4 dp
(810÷28.125)×0.25=7.2
 
Definition 0.3 dp
72.842-1.28×15.625=52.842
 
Definition 0.4 dp
200+0.625×8+10=215
 
Definition 1.4 dp
309.816+1.84÷10=310
 
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
 
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
 
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
 
Negatory 0.3 dn
-25.734+8×8.918=45.61
 
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
 
Negatory 1.4 dn
100÷12.5-435.267=-427.267
 
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
 
Negatory 3.3 dn
-4.8÷(-0.564-1.936)÷0.064=30
 
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
 
Fraction Examples
 
 
Denominator 0.3 fn
1191/370+6719/70-15075/259=41/1
 
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
 
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
 
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
 
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
 
Limited 0.2 fp
777/40×(87/7-82/7)=111/8
 
Limited 1.3 fp
28/33×5797/72-5285/297=10003/198
 
Limited 2.2 fp
377/15×(1/6+17/78)=29/3
 
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
 
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
 
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
 
 
Doted 0.4 dn
-330 > -800
 
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
 
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
 
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
 
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
 
 
Quadratic 0.1 in
-x2+7x-10=0
 
 
 
 
 
 
 
System 3.1 ip
10y+4x=116
 
Set 0.1 in
-10y×8x=800
 
Set 1.1 in
-x+y=-6
 
Set 2.1 in
-11x÷y=-11
 
Set 3.1 in
-5y+5x=0
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
pro essional [vocational]
 
Lexicon 2.4
ab ent [gone]
 
Infinitive 1.3
behold beheld       [behold]
 
Infinitive 3.2
foresee             [foresee]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
198×110=21780
 
Logics 1.4 in
-319×610=-194590
 
Logics 2.4 in
3600÷(-120)×(-414)=12420
 
Logics 3.4 in
1000÷(2000÷20)=10
 
Logics 4.4 in
75000÷(10×(-5))÷25=-60
Fraction Examples
 
 
Limited 0.3 fp
1/3÷19/39-77/304=131/304
 
Limited 2.3 fp
(367/760+93/760)×15599/598=821/52
 
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
 
Complete 2.3 fn
(-185/11-145/11)÷17640/331=-331/588
Equations
 
 
Quadratic 0.2 in
-24x2+48x=0
 
 
Quadratic 2.2 in
-53x2+3710x=0
 
Quadratic 3.2 in
19x2-19x-38=0
 
 
 
System 2.2 ip
y×14x=43904
 
System 3.2 ip
89x+48y=3840
 
Set 0.2 in
68640x÷77y=624
 
Set 1.2 in
-x-y=-26
 
Set 2.2 in
-2160x÷72y=-60
 
Set 3.2 in
-5x+51y=4583
Language Exercises
 
 
 
 
Lexicon 2.5
entert inment [amusement]
 
Infinitive 2.3
beset             [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
2x2-540x-33488=0
 
Quadratic 1.3 in
930x2=9300000
 
Quadratic 2.3 in
240x2-26160x=0
 
Quadratic 3.3 in
-2x2-6x+680=0
 
System 0.3 ip
8x×5y=1984000
 
System 2.3 ip
64x×19y=2593728
 
System 3.3 ip
20y+13x=22499
 
Set 0.3 in
-162y÷27x=3
 
Set 1.3 in
-x+y=399
 
Set 2.3 in
6336x÷3y=6688
 
Set 3.3 in
223y-115x=-78090
Language Exercises
 
 
Infinitive 3.3
            sent [send]

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