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
 
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
8+
Recommended for children from eight years
Integer Examples
 
 
 
Beginner 1.4 ip
238+42=280
 
 
Beginner 3.4 ip
90+444=534
 
Beginner 4.3 ip
80+19+1=100
 
Beginner 5.2 ip
11-(10-10)=11
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.1 ip
2÷2 < 4×1
 
 
Natural 2.2 ip
35+25 < 17+75
 
Natural 3.1 ip
9×1 > 2×3
Equations
 
Language Exercises
 
 
 
 
Russian Vocabulary 3.1
учит льница
 
 
 
Lexicon 1.1
h use [home]
 
Lexicon 2.1
 rm [hand]
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
400-284+884=1000
 
Beginner 5.3 ip
48+(90-83)=55
 
Cognizant 0.1 ip
(10÷5)×3=6
 
 
 
 
Cognizant 4.1 ip
20÷5×8=32
 
Cognizant 5.1 ip
3×(4×2)=24
 
Cognizant 6.1 ip
7×(2×3)×2=84
 
 
Column 1.2 ip
1177+7228=8405
 
Column 2.2 ip
4393-1358=3035
 
Column 3.2 ip
2313+7687=10000
 
 
 
 
Numeracy 2.1 ip
26+14÷7+10=38
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #25
26÷2=13
 
Division #26
56÷4=14
 
Division #27
85÷5=17
 
 
Division #29
36÷2=18
 
Division #30
100÷50=2
 
 
Division #32
112÷7=16
 
 
Division #34
104÷8=13
 
Division #35
125÷5=25
 
Division #36
90÷9=10
 
Division #37
60÷6=10
 
Division #38
480÷10=48
 
Division #39
17÷1=17
 
Division #40
77÷11=7
Comparisons
 
 
Natural 0.2 ip
80÷10 < 90÷10
 
 
Natural 2.3 ip
808-460 > 20+20
 
Natural 3.2 ip
36÷2 < 12×2
Equations
 
 
 
 
Language Exercises
 
 
Russian Vocabulary 1.3
авт мобиль
 
Russian Vocabulary 2.2
наде ться
 
Russian Vocabulary 3.2
х зяйство
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
975-21-84=870
 
Beginner 1.5 ip
108027+666122=774149
 
Beginner 2.5 ip
691254-681381=9873
 
Beginner 3.5 ip
1000000-0=1000000
 
Beginner 5.4 ip
878-(850-512)=540
 
Cognizant 0.2 ip
192÷(24÷2)=16
 
 
 
Cognizant 3.3 ip
3600÷50=72
 
Cognizant 4.2 ip
500÷25×24=480
 
Cognizant 5.2 ip
(616÷7)÷8=11
 
Cognizant 6.2 ip
450÷5×(16÷4)=360
 
Remainder 1.2 ip
37÷16=2(5)
 
Column 1.3 ip
211817+782205=994022
 
Column 2.3 ip
465293-325906=139387
 
Column 3.3 ip
840216-352007=488209
 
Multiplier 1.2 ip
9009×4=36036
 
Multiplier 1.3 ip
2373×47=111531
 
Divisor 1.2 ip
993÷3=331
 
Numeracy 0.1 ip
9×6-44=10
 
Numeracy 1.2 ip
599-27÷3=590
 
Numeracy 2.2 ip
734-44÷22×289=156
 
Numeracy 3.1 ip
17-39÷(10+29)=16
 
 
Remainder_ENG 1.2 ip
182÷17=10(12)
Comparisons
 
 
Natural 0.3 ip
40×4 < 936÷3
 
Natural 1.4 ip
151770 < 829427
 
Natural 2.4 ip
355445+308968 > 568909+95482
 
Natural 3.3 ip
15×4 > 8×5
Equations
 
 
 
Linear 1.3 ip
419+x=518
 
Linear 2.3 ip
x×50=450
 
Linear 3.2 ip
x÷47+57=59
 
Linear 4.1 ip
(6-x)×4=8
Rounding
 
 
Round 1.1 ip
405≈41
 
Round 1.2 ip
3830≈38
 
Round 2.1 ip
762+223≈99
Language Exercises
 
 
Russian Vocabulary 2.3
микр фон
 
 
 
Lexicon 1.2
re r [background]
 
Lexicon 2.2
e ch [both]
 
Infinitive 1.1
forget forgot       [forget]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
957514-57514=900000
 
Beginner 4.5 ip
956297-3081-25816=927400
 
Beginner 5.5 ip
517108+(102556+80200)=699864
 
 
Conversant 1.5 in
-176346+366346=190000
 
 
Cognizant 0.3 ip
(72÷18)×14=56
 
Cognizant 4.3 ip
16×125÷20=100
 
Cognizant 5.3 ip
(8×750)÷3=2000
 
Cognizant 6.3 ip
3520÷(2×2)÷40=22
 
Remainder 1.3 ip
370÷6=61(4)
 
Multiplier 1.4 ip
11125×800=8900000
 
Divisor 1.3 ip
7033÷13=541
 
Numeracy 0.2 ip
180×3+161=701
 
Numeracy 0.3 ip
1984+(75+277)÷22=2000
 
Numeracy 1.3 ip
290×16-3379=1261
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
493-(710-658)×3=337
 
Numeracy 3.3 ip
297+(747-702)÷15=300
 
Divisor_ENG 1.3 ip
8449÷71=119
 
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
 
 
Partitive 0.1 dp
9.9-(2.1+5.3)=2.5
 
Partitive 0.2 dp
21-(94.5-74.7)=1.2
 
 
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
83.7-19.8-36.9=27
 
Partitive 3.1 dp
5.7+(4-4)=5.7
 
Partitive 3.2 dp
96.8-(76.5+0.9)=19.4
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
3.5×2.2=7.7
 
Denary 2.1 dp
96÷1.5=64
 
Denary 3.1 dp
15.6÷0.8=19.5
 
Fraction Examples
 
 
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
 
 
Natural 0.4 ip
20×3 < 8×44
 
Natural 3.4 ip
114×7 > 3×4
 
Ceil 0.1 in
-6÷(-3) > -8÷4
 
 
Ceil 2.1 in
7-10 < -2-0
 
Ceil 3.1 in
-2×4 < 6÷2
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
0.6+4.5 < 68.4-63.1
 
 
Improper 1.2 fp
90/47 < 4/1
 
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
 
 
Linear 0.2 ip
x+47=47
 
Linear 0.3 ip
480+x÷62=495
 
Linear 3.3 ip
971-58×x=159
 
Linear 4.2 ip
15×(x-44)=30
 
Linear 4.3 ip
(x-12)×189=378
 
 
Lineal 2.1 in
x÷(-10)=1
Rounding
 
 
 
Rounding 2.1 dp
96.1-70.5≈26
 
Round 0.1 ip
671÷11≈6
 
Round 0.2 ip
4126≈41
 
Round 0.3 ip
1117×107≈120
 
Round 1.3 ip
47794≈48
 
Round 2.2 ip
7376-3006≈44
 
Round 2.3 ip
583433-140905≈443
 
Round 3.1 ip
5×43≈22
 
Round 3.2 ip
1117×5≈56
 
Round 3.3 ip
933100÷100≈9
Language Exercises
 
 
Russian Vocabulary 1.4
иллюм нация
 
Russian Vocabulary 3.3
н верное
 
 
 
 
Lexicon 1.3
pr per [correct]
 
Infinitive 2.1
mislay             [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
-77+23+20=-34
 
 
 
 
Conversant 2.3 in
-10-60+39=-31
 
 
Conversant 3.2 in
-5-(1+14)=-20
 
Conversant 3.3 in
7-(-30+12)=25
 
Conversant 4.1 in
-(0+5)-(7-4)=-8
 
Conversant 4.2 in
(12+6)-(19-20)=19
 
Conversant 4.3 in
-(100-100)-(49-19)=-30
 
Cognizant 0.4 ip
742×677=502334
 
Cognizant 1.4 ip
247×239=59033
 
Cognizant 2.4 ip
748000÷1000=748
 
Cognizant 3.4 ip
716082÷138=5189
 
Cognizant 4.4 ip
250×2÷10=50
 
Cognizant 5.4 ip
(450÷75)×382=2292
 
Cognizant 6.4 ip
240×(6÷3)×950=456000
 
Multiplier 1.5 ip
3830×1100=4213000
 
Divisor 1.4 ip
37200÷10=3720
 
Intellect 0.1 in
72+36×2÷4=90
 
 
Intellect 2.1 in
28-69÷23-95=-70
 
Intellect 3.1 in
26+(74-82)×2=10
 
Logics 0.1 in
3×(-7)=-21
 
 
Logics 2.1 in
48÷4÷(-3)=-4
 
Logics 3.1 in
(-40÷2)÷2=-10
 
Logics 4.1 in
64÷(-2×4)÷4=-2
 
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
 
 
Partitive 0.3 dp
40-28.35+35.35=47
 
Partitive 1.3 dp
96.8-20=76.8
 
Partitive 2.3 dp
49.24+21.71-63.09=7.86
 
Partitive 3.3 dp
49.16+(42.87+1.97)=94
 
Split 0.1 dn
1.8+5.1=6.9
 
Split 0.2 dn
-1.9+7=5.1
 
Split 1.1 dn
-4.4+5.1=0.7
 
Split 1.2 dn
-3-19.1=-22.1
 
Split 2.1 dn
5.3+5.3-1.6=9
 
Split 2.2 dn
-54.8-5.1+18=-41.9
 
Split 3.1 dn
-3.7-(6.9-8.6)=-2
 
Split 3.2 dn
-5-(8.1+52.6)=-65.7
 
 
Divisional 1.2 dp
2.86÷0.13=22
 
Denary 0.1 dp
5×2.3=11.5
 
Denary 1.2 dp
26×0.37=9.62
 
Denary 2.2 dp
1.44÷7.2=0.2
 
Denary 3.2 dp
1.2÷0.5=2.4
 
Denary 4.1 dp
1.7×4÷0.8=8.5
 
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
 
Definition 0.1 dp
63.8-1.6×2.5÷5=63
 
Definition 1.1 dp
14.3-10÷0.8=1.8
 
Definition 2.1 dp
51-0.5×5-40.5=8
 
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
 
Negatory 1.1 dn
2×5.6-10.5=0.7
 
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
 
 
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
 
 
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
 
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
7/8-3/8-1/2=0/1
 
Numerator 2.2 fp
1/5+39/5-52/7=4/7
 
Numerator 3.1 fp
1/10+(1/10+2/5)=3/5
 
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
 
 
Denominator 1.1 fn
-1/2-1/5=-7/10
 
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
 
Denominator 3.1 fn
1/6-(-1/2-1/6)=5/6
 
Fragment 1.1 fp
21/4÷3/2=7/2
 
Fragment 1.2 fp
139/8÷973/44=11/14
 
Fragment 2.1 fp
28/3×2/7×3/10=4/5
 
Reduction 1.1 fp
136/24=17/3
 
Reduction 1.2 fp
1216/57=64/3
 
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
 
 
Ceil 0.2 in
60÷10 < -10×(-2)
 
Ceil 0.3 in
-842÷(-2) > -840÷24
 
Ceil 1.2 in
85 > -81
 
Ceil 1.3 in
-892 < -756
 
Ceil 2.2 in
18+43 > -28+57
 
Ceil 2.3 in
-239-388 < -248+30
 
Ceil 3.2 in
2×8 = -48÷(-3)
 
Ceil 3.3 in
-25×4 < 990÷9
 
Point 0.1 dp
38.4 > 1.7
 
Point 0.2 dp
7.25 = 7.25
 
Point 1.2 dp
81.89 > 51.14
 
Point 1.3 dp
75.249 > 0.089
 
Point 1.4 dp
789.892 > 131.845
 
Point 2.2 dp
43.7+20.3 > 8.43+54.76
 
Point 2.3 dp
10.277+8.723 < 45-7.757
 
Point 3.1 dp
34.5×2 > 97.2÷8.1
 
Point 3.2 dp
11×0.6 < 25.6×3.5
 
Doted 0.1 dn
-93.7 < 35.1
 
Doted 0.2 dn
63.74 > -72.77
 
Doted 1.1 dn
-89.7 < 35
 
Doted 1.2 dn
82.65 > -97.27
 
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
 
Doted 2.2 dn
-9.58-32.98 < -60+48.42
 
Doted 3.1 dn
-4×(-0.8) > 90.6÷(-3)
 
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
 
Improper 0.1 fp
1/5÷1/2 > 1/3×3/5
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
190/261 < 256/297
 
Improper 2.2 fp
10/3-47/42 > 309/38-241/38
 
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
 
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
 
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
 
 
Descent 1.2 fn
-64/7 < 26/7
 
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
 
 
Lineal 0.1 in
x+1=-6
 
Lineal 0.2 in
3-80÷x=7
 
 
Lineal 1.3 in
894-x=139
 
Lineal 2.2 in
-x÷(-5)=-5
 
Lineal 2.3 in
28×(-x)=-868
 
 
Lineal 3.2 in
x×2+46=-48
 
Lineal 4.1 in
-(x-5)×2=-10
 
Lineal 4.2 in
-5×(-61-x)=0
Rounding
 
 
Rounding 0.1 dp
75.8-1.3≈75
 
Rounding 0.2 dp
65.17≈65.2
 
Rounding 1.2 dp
58.34≈58.3
 
Rounding 1.3 dp
59.997≈60
 
Rounding 2.2 dp
89.29-14.12≈75.2
 
Rounding 2.3 dp
0.671+68.427≈69.1
 
Rounding 3.1 dp
93.3÷28≈3
 
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
 
 
 
 
Lexicon 2.3
mem ry [remembrance]
 
Infinitive 1.2
teach       taught [teach]
 
Infinitive 3.1
outleap             [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
580-803-642=-865
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-278-118=-396
 
Conversant 2.4 in
-578+241+184=-153
 
Conversant 2.5 in
-987259+785779-38520=-240000
 
Conversant 3.4 in
622-(-707+509)=820
 
Conversant 3.5 in
1000000-(-810000+930000)=880000
 
Conversant 4.4 in
(530-357)-(750+291)=-868
 
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
 
Divisor 1.5 ip
6938712÷396=17522
 
Intellect 0.2 in
-105-2×220=-545
 
Intellect 1.2 in
-672+340÷4=-587
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
326-(-37-39)÷4=345
 
Logics 0.2 in
7×2×(-20)=-280
 
Logics 1.2 in
-20×(-15)=300
 
Logics 2.2 in
-2×5×5=-50
 
Logics 3.2 in
36÷(-12÷2)=-6
 
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
 
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
 
 
Partitive 0.4 dp
439.279-17-32.279=390
 
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
537.051-(295.368-167.605)=409.288
 
Split 0.3 dn
-91.18+66.3-55.12=-80
 
Split 0.4 dn
-71-489.921=-560.921
 
Split 1.3 dn
78.2+11.8=90
 
Split 1.4 dn
-450-152.449=-602.449
 
Split 2.3 dn
-34-97.91+32.82=-99.09
 
Split 2.4 dn
15.832-205.642+55.221=-134.589
 
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
 
Split 3.4 dn
-572.502-(-160.053+0)=-412.449
 
 
Divisional 1.3 dp
0.192÷0.004=48
 
Denary 0.2 dp
2.7÷15=0.18
 
Denary 0.3 dp
5.5×0.046=0.253
 
Denary 1.3 dp
3.25×0.64=2.08
 
Denary 2.3 dp
46.24÷5.78=8
 
Denary 3.3 dp
1.728÷3.456=0.5
 
Denary 4.2 dp
67.2÷10÷0.5=13.44
 
Denary 4.3 dp
3.9÷2.6×65=97.5
 
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
 
Denary 5.3 dp
0.5×(3×0.064)=0.096
 
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
 
Definition 1.2 dp
2.5÷31.25+11.34=11.42
 
Definition 1.3 dp
37.8÷0.8-44.988=2.262
 
Definition 2.2 dp
24.4+8×8.75×1.08=100
 
Definition 2.3 dp
6×0.16+20×0.015=1.26
 
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
 
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
 
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
 
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
 
Negatory 1.3 dn
-4.1×16+93.42=27.82
 
Negatory 2.2 dn
8.75×0.64-5.7×8=-40
 
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
 
Negatory 3.1 dn
7.6-(72-71.2)×60=-40.4
 
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
 
 
Fraction Examples
 
 
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
 
Numerator 1.3 fp
44258/575-43918/575=68/115
 
Numerator 2.3 fp
39927/409-20260/409-19258/409=1/1
 
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
 
Denominator 0.2 fn
8/23+77/92-39/46=31/92
 
Denominator 1.2 fn
-17/3-76/99=-637/99
 
Denominator 1.3 fn
3/4+3784/71=15349/284
 
Denominator 2.2 fn
757/77-1/3-20/21=94/11
 
Denominator 3.2 fn
47/21-(38/9+25/9)=-100/21
 
Fragment 0.1 fp
3/2×2/3=1/1
 
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
 
Fragment 1.3 fp
17/7÷17/28=4/1
 
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
 
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
 
Fragment 3.1 fp
(35/4×1/10)×40/7=5/1
 
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
 
Reduction 1.3 fp
114/1178=3/31
 
Limited 0.1 fp
1/6+2/3×1/8=1/4
 
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
-4/3÷(-2/3-2/3)=1/1
 
Complete 1.1 fn
-3/5-4/5÷1/8=-7/1
 
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
 
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
 
 
Ceil 0.4 in
990537-17775 > 2600+3199
 
Ceil 1.4 in
-775923 > -933776
 
Ceil 2.4 in
-33000-626579 < 590364-135769
 
Ceil 3.4 in
-2×315172 < -793184÷2
 
Point 0.3 dp
10.071 < 51.284
 
Point 0.4 dp
7.28×7.5 < 1.875×240
 
Point 2.4 dp
849.473-523.69 < 465.375+99.75
 
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
 
Point 3.4 dp
5.61×115.2 > 780÷13
 
Doted 0.3 dn
-55.176÷(-1.254) < 62.15÷1.243
 
Doted 1.3 dn
-42.984 < -18.471
 
Doted 1.4 dn
2.314 > -834.886
 
Doted 2.3 dn
-27.286+98.194 > -2-0.119
 
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
 
Doted 3.3 dn
4.375×(-2.432) < 42.556÷(-4)
 
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
 
Improper 3.3 fp
1/4÷57/104 < 6/13×806/57
 
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
 
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
 
Descent 1.3 fn
15627/619 > -251/10
 
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
 
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
 
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
 
 
 
Lineal 3.3 in
-555+29×x=460
 
Lineal 4.3 in
-60×(865-x)=540
 
Rounding
 
 
Rounding 0.3 dp
56.862-14.962≈41.9
 
Rounding 3.3 dp
100÷1.25≈80
Language Exercises
 
 
Russian Vocabulary 1.5
хл стать
 
Russian Vocabulary 3.4
вн запно
 
 
 
Lexicon 1.4
c nnection [union]
 
Infinitive 2.2
hang             [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(10000-4900)÷(144+60)=25
 
Intellect 1.3 in
-7015-1656÷24=-7084
 
Intellect 2.3 in
-2726-50×22×75=-85226
 
Intellect 3.3 in
-136-350÷(4905-4903)=-311
 
Logics 0.3 in
(1296÷36)÷6=6
 
Logics 1.3 in
-52×99=-5148
 
Logics 2.3 in
5×20÷(-10)=-10
 
Logics 3.3 in
2394÷(-3×(-2))=399
 
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
 
 
Residual 1.3 dp
89÷100=0.89
 
Denary 0.4 dp
3×0.01=0.03
 
Denary 1.4 dp
4.5×0.012=0.054
 
Denary 2.4 dp
529.2÷282.24=1.875
 
Denary 3.4 dp
0.52÷1.04=0.5
 
Denary 4.4 dp
1.7×64÷68=1.6
 
Denary 5.4 dp
(4×0.011)÷2=0.022
 
Definition 0.3 dp
29.325×1.28-1.024=36.512
 
Definition 0.4 dp
361×0.729+326.831=590
 
Definition 1.4 dp
342.72÷21.76-3.758=11.992
 
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
 
Definition 3.3 dp
39-0.014÷(100-86)=38.999
 
Definition 3.4 dp
678.258+(845.967-843.667)×0.01=678.281
 
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
100÷12.5-435.267=-427.267
 
Negatory 2.4 dn
-52+252.72÷13÷0.045=380
 
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
 
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
 
Fraction Examples
 
 
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
 
Denominator 2.3 fn
-36/85-23/170-43023/646=-1276/19
 
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
 
Fragment 0.3 fp
1049/37÷(1/5÷3/5)=3147/37
 
Fragment 3.3 fp
97/18×(576/13÷64/13)=97/2
 
Limited 0.2 fp
1255/36-27/32×2104/81=233/18
 
Limited 1.3 fp
805/566+4/11×385/8=5355/283
 
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
 
Complete 0.2 fn
19/3÷(-5/9-10/63)=-133/15
 
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
 
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
 
 
Doted 0.4 dn
2 < 721.033
 
Doted 3.4 dn
35×12.288 > 26.496×16
 
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
 
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
 
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
 
 
 
 
 
 
 
 
System 2.1 ip
7y×x=280
 
 
Set 0.1 in
y+3x=-24
 
Set 1.1 in
-y+x=-11
 
Set 2.1 in
-9y×x=900
 
Set 3.1 in
-6x-7y=71
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
enthu iastic [ebullient]
 
Lexicon 2.4
per uade [assure]
 
Infinitive 1.3
hit hit       [hit]
 
Infinitive 3.2
fight             [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
-9776÷13=-752
 
Logics 2.4 in
-1250÷(-25)×(-900)=-45000
 
Logics 3.4 in
533×(39×(-30))=-623610
 
Logics 4.4 in
446×(-99360÷(-460))÷(-36)=-2676
Fraction Examples
 
 
Limited 0.3 fp
1/2-1/8÷5/4=2/5
 
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
 
Complete 0.3 fn
-(11/24-73/72)÷5/367=367/9
 
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
 
 
Quadratic 0.2 in
-75x2-7500x=0
 
 
Quadratic 2.2 in
-10x2+10x=0
 
Quadratic 3.2 in
-2x2-14x+520=0
 
System 0.2 ip
81y+21x=6750
 
 
System 2.2 ip
3x×y=8400
 
System 3.2 ip
60y-30x=2100
 
Set 0.2 in
-y×7x=-2079
 
Set 1.2 in
-y-x=-26
 
Set 2.2 in
-13x×26y=38532
 
Set 3.2 in
-60y+79x=-171
Language Exercises
 
 
 
 
Lexicon 2.5
tr ditionally [typically]
 
Infinitive 2.3
slide             [slide]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
61x2=8171316
 
Quadratic 1.3 in
29x2=3158100
 
Quadratic 2.3 in
276x2+2760x=0
 
Quadratic 3.3 in
2x2-892x+94458=0
 
 
System 2.3 ip
38x×2y=2708640
 
System 3.3 ip
132x+108y=93720
 
Set 0.3 in
407y+74x=228882
 
Set 1.3 in
-y+x=101
 
Set 2.3 in
-6x×3y=92160
 
Set 3.3 in
-32y-4x=27116
Language Exercises
 
 
Infinitive 3.3
send             [send]

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