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
9-(10-3)=2
Step-by-step Tasks
 
Comparisons
 
 
 
Natural 2.1 ip
2+0 < 10-5
Language Exercises
 
 
Russian Vocabulary 1.1
од ванчик
8+
Recommended for children from eight years
Integer Examples
 
 
Beginner 0.2 ip
9-(17-9)=1
 
Beginner 1.4 ip
892+54=946
 
Beginner 2.4 ip
392-202=190
 
Beginner 3.4 ip
20+703=723
 
Beginner 4.3 ip
77-3-22=52
 
Beginner 5.2 ip
18-(7+8)=3
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
72-23 < 60+30
 
Natural 3.1 ip
9÷3 < 7×1
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
877+123-0=1000
 
Beginner 5.3 ip
76-(4+40)=32
 
Cognizant 0.1 ip
12÷(9÷3)×7=28
 
 
 
 
Cognizant 4.1 ip
20÷5×3=12
 
Cognizant 5.1 ip
(8÷4)×2=4
 
Cognizant 6.1 ip
90÷3÷(3×2)=5
 
Remainder 1.1 ip
59÷10=5(9)
 
Column 1.2 ip
2601+3664=6265
 
Column 2.2 ip
4393-1358=3035
 
Column 3.2 ip
6041-3545=2496
 
 
 
Numeracy 1.1 ip
55+3×10=85
 
Numeracy 2.1 ip
24÷8+10×5=53
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #22
34÷2=17
 
Division #23
55÷11=5
 
Division #24
54÷3=18
 
Division #25
48÷3=16
 
 
Division #27
95÷5=19
 
 
Division #29
64÷4=16
 
Division #30
100÷10=10
 
 
 
Division #33
66÷6=11
 
 
 
Division #36
144÷9=16
 
 
Division #38
490÷10=49
 
Division #39
135÷9=15
 
Division #40
55÷11=5
Comparisons
 
 
Natural 0.2 ip
100-0 > 83-16
 
 
Natural 2.3 ip
289+183 < 938-217
 
Natural 3.2 ip
35÷7 < 80÷5
Equations
 
 
 
 
Linear 3.1 ip
x+2=10
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
 
Beginner 1.5 ip
119800+123801=243601
 
Beginner 2.5 ip
691254-681381=9873
 
Beginner 3.5 ip
949282-152711=796571
 
Beginner 5.4 ip
763+(227-152)=838
 
 
Cognizant 1.3 ip
20×245=4900
 
Cognizant 2.3 ip
8010÷10=801
 
Cognizant 3.3 ip
3000÷3=1000
 
 
Cognizant 5.2 ip
(120÷2)÷3=20
 
Cognizant 6.2 ip
2×(10×5)×7=700
 
 
Column 1.3 ip
120000+352877=472877
 
Column 2.3 ip
400000-229487=170513
 
Column 3.3 ip
160633+200447=361080
 
Multiplier 1.2 ip
1886×3=5658
 
Multiplier 1.3 ip
1000×72=72000
 
Divisor 1.2 ip
680÷4=170
 
Numeracy 0.1 ip
92÷2-34=12
 
Numeracy 1.2 ip
900÷10-46=44
 
Numeracy 2.2 ip
336÷24+576÷36=30
 
Numeracy 3.1 ip
20+(24-23)×10=30
 
 
Comparisons
 
 
Natural 0.3 ip
608÷8 > 470÷10
 
Natural 1.4 ip
369715 > 191998
 
Natural 2.4 ip
624432-151195 < 677301+70597
 
Natural 3.3 ip
790÷10 < 2×100
Equations
 
 
Linear 0.1 ip
3×(10-x)=6
 
Linear 1.3 ip
x-507=148
 
 
Linear 3.2 ip
9+2×x=93
 
Linear 4.1 ip
(x-1)×5=0
Rounding
 
 
Round 1.1 ip
372≈37
 
Round 1.2 ip
9156≈92
 
Round 2.1 ip
475+89≈56
Language Exercises
 
 
Russian Vocabulary 2.3
п недельник
 
 
 
Lexicon 1.2
ph ne [call]
 
Lexicon 2.2
l ss [privation]
 
Infinitive 1.1
smite       smitten [smite]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
783110+162887-150397=795600
 
Beginner 4.5 ip
912490-226129-86884=599477
 
Beginner 5.5 ip
479830-(650000-640891)=470721
 
 
Conversant 1.5 in
880000-442636=437364
 
 
Cognizant 0.3 ip
1520÷19=80
 
Cognizant 4.3 ip
1440÷12×63=7560
 
Cognizant 5.3 ip
(450÷5)÷2=45
 
Cognizant 6.3 ip
126÷(9÷3)×37=1554
 
Remainder 1.3 ip
516÷70=7(26)
 
Multiplier 1.4 ip
22227×233=5178891
 
Divisor 1.3 ip
1479÷29=51
 
Numeracy 0.2 ip
137×2+60÷2=304
 
Numeracy 0.3 ip
4200-600÷20-3362=808
 
Numeracy 1.3 ip
132÷11+8000=8012
 
Numeracy 2.3 ip
5240-10×16×24=1400
 
Numeracy 3.2 ip
319-171÷(550-379)=318
 
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
 
Divisor_ENG 1.3 ip
9504÷22=432
 
Decimal Examples
 
 
Partitive 0.1 dp
8.2-0.3-1=6.9
 
Partitive 0.2 dp
30.6+39.3+24=93.9
 
Partitive 1.1 dp
9.6-2.5=7.1
 
Partitive 1.2 dp
92.8-7.5=85.3
 
Partitive 2.1 dp
1.7+1.5+1.4=4.6
 
Partitive 2.2 dp
67.4+31.9-46.5=52.8
 
Partitive 3.1 dp
4.2-(8.9-6)=1.3
 
Partitive 3.2 dp
22.1+(9-0)=31.1
 
Divisional 1.1 dp
5.7÷1.5=3.8
 
Denary 1.1 dp
17.5×1.6=28
 
Denary 2.1 dp
96÷1.5=64
 
Denary 3.1 dp
18.4÷2=9.2
 
Fraction Examples
 
 
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
 
 
Natural 0.4 ip
212400÷59 < 697527÷51
 
Natural 3.4 ip
13×16 < 35732÷2
 
Ceil 0.1 in
-2-0 > -2-3
 
 
Ceil 2.1 in
9-4 > -6+10
 
Ceil 3.1 in
2×(-5) < 4×(-2)
 
Point 1.1 dp
33.6 < 91.3
 
Point 2.1 dp
12.8+7.6 < 81.5-54.2
 
 
Improper 1.2 fp
445/68 < 7/1
 
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
 
 
Linear 0.2 ip
x+47=47
 
Linear 0.3 ip
352÷(65-x)=176
 
Linear 3.3 ip
x÷8+922=927
 
Linear 4.2 ip
68÷(14+x)=2
 
Linear 4.3 ip
(x-67)×39=897
 
 
Rounding
 
 
 
Rounding 2.1 dp
83.3-33.4≈50
 
Round 0.1 ip
434≈43
 
Round 0.2 ip
9364÷4≈23
 
Round 0.3 ip
255711≈256
 
Round 1.3 ip
822773≈823
 
Round 2.2 ip
215+852≈11
 
Round 2.3 ip
361600+911≈363
 
Round 3.1 ip
832÷2≈42
 
Round 3.2 ip
1004×8≈80
 
Round 3.3 ip
71678×13≈932
Language Exercises
 
 
Russian Vocabulary 1.4
экспл атация
 
Russian Vocabulary 3.3
сост заться
 
 
 
 
Lexicon 1.3
 lly [join]
 
Infinitive 2.1
      outrode       [outride]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
-48-(-43-79)=74
 
 
 
Conversant 2.2 in
-11+19-19=-11
 
Conversant 2.3 in
16-87+11=-60
 
 
Conversant 3.2 in
-10-(-3-6)=-1
 
Conversant 3.3 in
51-(-17-18)=86
 
Conversant 4.1 in
-(3-0)+(8+5)=10
 
Conversant 4.2 in
(12+6)-(19-20)=19
 
Conversant 4.3 in
-(60+49)+(79+11)=-19
 
Cognizant 0.4 ip
220800÷1104=200
 
Cognizant 1.4 ip
982×594=583308
 
 
Cognizant 3.4 ip
551×200=110200
 
Cognizant 4.4 ip
250×2÷10=50
 
Cognizant 5.4 ip
5600÷(224÷8)=200
 
Cognizant 6.4 ip
109×(336÷8)÷14=327
 
Multiplier 1.5 ip
28000×1250=35000000
 
Divisor 1.4 ip
60000÷30=2000
 
Intellect 0.1 in
-20-96÷6÷8=-22
 
Intellect 1.1 in
-96÷6-40=-56
 
Intellect 2.1 in
-5×5-2×33=-91
 
Intellect 3.1 in
-60+20÷(17-15)=-50
 
Logics 0.1 in
-6×(-3)×5=90
 
Logics 1.1 in
8×(-8)=-64
 
Logics 2.1 in
4×2×8=64
 
Logics 3.1 in
(-80÷2)÷(-4)=10
 
Logics 4.1 in
-27×4÷(-6×(-2))=-9
 
Divisor_ENG 1.4 ip
40000÷25=1600
Decimal Examples
 
 
Partitive 0.3 dp
94.08-(75.71-69.07)=87.44
 
Partitive 1.3 dp
12.29+80.11=92.4
 
Partitive 2.3 dp
54.76-3.58-6.23=44.95
 
Partitive 3.3 dp
83+(36.35-19.39)=99.96
 
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
0.6-7.5=-6.9
 
Split 1.2 dn
33.7-5.7=28
 
Split 2.1 dn
-1-1-4.8=-6.8
 
Split 2.2 dn
2.4-0.1-80.3=-78
 
Split 3.1 dn
2.9-(-1.8+3)=1.7
 
Split 3.2 dn
18+(-31.6+50.5)=36.9
 
 
Divisional 1.2 dp
80.64÷4.2=19.2
 
Denary 0.1 dp
0.9×10=9
 
Denary 1.2 dp
2.25×2.4=5.4
 
Denary 2.2 dp
2.24÷1.75=1.28
 
Denary 3.2 dp
4×0.01=0.04
 
Denary 4.1 dp
10.5×6×0.4=25.2
 
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
11.1+3.8×3=22.5
 
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
 
Definition 3.1 dp
83×(20.5-19.8)÷41.5=1.4
 
Negatory 1.1 dn
-32÷12.8+66=63.5
 
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
 
 
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
 
 
Numerator 0.1 fp
1/2-1/4+3/8=5/8
 
Numerator 0.2 fp
19/7-31/14+19/78=29/39
 
Numerator 1.2 fp
1/18+1/9=1/6
 
Numerator 2.1 fp
7/8-3/8-1/2=0/1
 
Numerator 2.2 fp
23/3+2/3-112/15=13/15
 
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
 
Numerator 3.2 fp
2/3+(25/3-13/20)=167/20
 
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
 
 
Denominator 2.1 fn
1/8-4/5-1/5=-7/8
 
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
 
Fragment 1.1 fp
5/2÷25/9=9/10
 
Fragment 1.2 fp
32/25×95/16=38/5
 
Fragment 2.1 fp
15/2×4/5×2/9=4/3
 
 
 
Limited 1.1 fp
27/10-1/3×57/10=4/5
Comparisons
 
 
Ceil 0.2 in
15÷(-5) > -40÷10
 
Ceil 0.3 in
873 > -188
 
Ceil 1.2 in
85 > -81
 
Ceil 1.3 in
759 > 754
 
Ceil 2.2 in
7-40 < -63+70
 
Ceil 2.3 in
910-282 > -391-339
 
Ceil 3.2 in
-12×2 < 5×7
 
Ceil 3.3 in
-920÷2 < -420÷3
 
Point 0.1 dp
90.4-17.9 > 99.7-61
 
Point 0.2 dp
7.25 = 7.25
 
Point 1.2 dp
51.46 < 51.47
 
Point 1.3 dp
73.296 = 73.296
 
Point 1.4 dp
570 < 697.732
 
Point 2.2 dp
98.73-1.14 > 7.39+0.53
 
Point 2.3 dp
86.162-52.642 = 97.534-64.014
 
Point 3.1 dp
99÷11 > 0.8×2.5
 
Point 3.2 dp
85÷17 < 90.09÷6.93
 
Doted 0.1 dn
47.3 > -86
 
Doted 0.2 dn
-54.66 < 6
 
Doted 1.1 dn
-71.1 < -31
 
Doted 1.2 dn
-98.21 < -69
 
Doted 2.1 dn
35.1-5 < 15.9+46.8
 
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
 
Doted 3.1 dn
-0.8×2 > 40÷(-2)
 
Doted 3.2 dn
-84.7÷1.54 < 48.02÷(-7)
 
 
Improper 0.2 fp
227/79 > 1/2
 
Improper 1.3 fp
1541/416 > 5/13
 
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
 
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
 
Improper 3.1 fp
2/3×1/2 < 2/9÷1/3
 
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
 
 
Descent 1.2 fn
-253/30 < -129/16
 
Descent 2.1 fn
1/2+1/2 > 4/5-3/5
Equations
 
 
Lineal 0.1 in
x+1=-6
 
 
 
Lineal 1.3 in
-104+x=854
 
Lineal 2.2 in
-x÷11=-1
 
Lineal 2.3 in
-x×(-2)=-700
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
-(-5-x)×2=-10
 
Lineal 4.2 in
-44÷(-2-x)=22
Rounding
 
 
 
Rounding 0.2 dp
51.99≈52
 
Rounding 1.2 dp
74.91≈74.9
 
Rounding 1.3 dp
59.997≈60
 
Rounding 2.2 dp
89.29-14.12≈75.2
 
Rounding 2.3 dp
3.977+18.018≈22
 
Rounding 3.1 dp
83÷9.1≈9
 
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
 
 
Russian Vocabulary 2.4
инц дент
 
 
Lexicon 2.3
to ards [to]
 
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
-(2+338)+(202-832)=-970
 
Conversant 0.5 in
-207188-449552=-656740
 
 
Conversant 2.4 in
-543-917+552=-908
 
Conversant 2.5 in
-987259+785779-38520=-240000
 
Conversant 3.4 in
856+(-119+194)=931
 
Conversant 3.5 in
-177674-(234978+201437)=-614089
 
Conversant 4.4 in
-(86+70)-(14+130)=-300
 
Conversant 4.5 in
(218460+0)+(862505-807963)=273002
 
Divisor 1.5 ip
20000÷100=200
 
Intellect 0.2 in
-48×19+30×42=348
 
Intellect 1.2 in
-90×7-21=-651
 
Intellect 2.2 in
105×7-765÷153=730
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
-50÷10×(-20)=100
 
Logics 1.2 in
-14÷7=-2
 
Logics 2.2 in
80÷10÷2=4
 
Logics 3.2 in
(20×(-50))÷(-25)=40
 
Logics 4.2 in
-8×8×(-2×4)=512
 
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
 
 
Partitive 0.4 dp
246.738+60-150.738=156
 
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
237.038+(265.417+175.545)=678
 
Split 0.3 dn
-12-28=-40
 
Split 0.4 dn
-68.569-484.139-4.175=-556.883
 
Split 1.3 dn
-93.76+11=-82.76
 
Split 1.4 dn
581.172-141.613=439.559
 
Split 2.3 dn
-36.27+86.24-95.42=-45.45
 
Split 2.4 dn
448.696-466.3+31.2=13.596
 
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
 
Split 3.4 dn
105.845-(-165.539+141.384)=130
 
 
Divisional 1.3 dp
7.616÷0.112=68
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
31.68÷5.5=5.76
 
Denary 1.3 dp
2.4×1.33=3.192
 
Denary 2.3 dp
2.124÷2.4=0.885
 
Denary 3.3 dp
79.596÷4.752=16.75
 
Denary 4.2 dp
1.2÷40×70=2.1
 
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
 
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
 
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
 
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
 
Definition 1.2 dp
90.68-1.6×12.5=70.68
 
Definition 1.3 dp
39.788-4.68÷2.08=37.538
 
Definition 2.2 dp
24.4+8×8.75×1.08=100
 
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
 
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
 
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
 
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
 
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
 
Negatory 1.3 dn
77-43.2÷3=62.6
 
Negatory 2.2 dn
-73.46+3.36÷0.96×30=31.54
 
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
 
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
 
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
 
 
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
 
 
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
 
Numerator 1.3 fp
1135/12-793/12=57/2
 
Numerator 2.3 fp
3/7+31/581+8094/83=98/1
 
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
 
Denominator 0.2 fn
39/5-243/35=6/7
 
Denominator 1.2 fn
1/2+7/10=6/5
 
Denominator 1.3 fn
-53495/666+13/18=-26507/333
 
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
 
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
 
Fragment 0.1 fp
1/5÷1/10=2/1
 
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
 
Fragment 1.3 fp
12/19÷6/19=2/1
 
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
 
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
 
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
 
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
 
Reduction 1.3 fp
114/1178=3/31
 
Limited 0.1 fp
10/3-26/3÷13/4=2/3
 
Limited 1.2 fp
1/26+3/13×1/2=2/13
 
Limited 2.1 fp
27/4÷(1/2+1/4)=9/1
 
Complete 0.1 fn
2/3÷1/6-3/2=5/2
 
Complete 1.1 fn
61/8-15/4÷5/9=7/8
 
Complete 1.2 fn
7/8×496/21+83/20=1489/60
 
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
 
 
Ceil 0.4 in
771000-619149 > -618427-30535
 
Ceil 1.4 in
-104464 > -559399
 
Ceil 2.4 in
-155769-529973 < 78000+610140
 
Ceil 3.4 in
-668800÷2 > -788012÷2
 
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
 
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
 
Point 2.4 dp
10+478.4 < 19.623+679.245
 
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
 
Point 3.4 dp
754.8÷11.1 < 856.32÷5.352
 
Doted 0.3 dn
5.32×(-15) < 64.064÷16
 
Doted 1.3 dn
95 > -78
 
Doted 1.4 dn
-277.04 < -225.364
 
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
 
Doted 2.4 dn
-310.058-30.117 < 735.233-67.565
 
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
 
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
 
Improper 3.3 fp
129/2×2/129 < 190/3×56/95
 
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
 
Descent 0.2 fn
-100/17+2/1 > -4/1-6/19
 
Descent 1.3 fn
33461/449 > 23705/449
 
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
 
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
 
Descent 3.2 fn
-1/2×(-6/1) > 5/1×8/15
Equations
 
 
Lineal 0.3 in
-(-x+764)×250=-1000
 
Lineal 3.3 in
89-900÷x=-1
 
Lineal 4.3 in
-60×(865-x)=540
 
Rounding
 
 
Rounding 0.3 dp
67.76÷29.683≈2.28
 
Rounding 3.3 dp
37.5÷1.25≈30
Language Exercises
 
 
 
 
 
 
Lexicon 1.4
motorc cle [moped]
 
Infinitive 2.2
      shod       [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-398+42×2319=97000
 
Intellect 1.3 in
5832÷72+6855=6936
 
Intellect 2.3 in
-2726-50×22×75=-85226
 
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
 
Logics 0.3 in
25×(-19)=-475
 
Logics 1.3 in
-160÷20=-8
 
Logics 2.3 in
-15×500÷(-2)=3750
 
Logics 3.3 in
-500÷(-25×2)=10
 
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
 
 
 
Denary 0.4 dp
3.456÷15.36=0.225
 
Denary 1.4 dp
27.625×32=884
 
Denary 2.4 dp
17.199÷955.5=0.018
 
Denary 3.4 dp
6.144÷8=0.768
 
Denary 4.4 dp
8.96×25×0.05=11.2
 
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
 
Definition 0.3 dp
93.74+(0.894+1.356)×0.02=93.785
 
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
 
Definition 1.4 dp
151.19+205.92÷0.88=385.19
 
Definition 2.4 dp
120+3.9×6.8×1.25=153.15
 
Definition 3.3 dp
32.05-0.045÷(0.5+0.4)=32
 
Definition 3.4 dp
30×(4.894+5.312)×1.6=489.888
 
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
 
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
 
Negatory 1.4 dn
-103.36÷16+873.055=866.595
 
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
 
Negatory 3.3 dn
(-0.5-0.3)×(-23.533-1.967)=20.4
 
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
 
Fraction Examples
 
 
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
 
Denominator 2.3 fn
40169/448-97/3-182/3=-1495/448
 
Denominator 3.3 fn
83/234+(-1/42-1/252)=17/52
 
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
 
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
 
Limited 0.2 fp
2383/80+13/2×8/5=643/16
 
Limited 1.3 fp
1/2÷9/118+247/9=34/1
 
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
 
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
 
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
 
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
 
 
Doted 0.4 dn
599.73÷30 > 578.772÷46
 
Doted 3.4 dn
599.86÷(-29.993) > -57.8×13.2
 
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
 
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
 
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2+6x+16=0
 
 
 
System 2.1 ip
28y÷7x=10
 
System 3.1 ip
7x+10y=107
 
Set 0.1 in
2x+6y=12
 
 
Set 2.1 in
-144x÷4y=-108
 
Set 3.1 in
-1x-y=19
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
bl me [condemn]
 
Lexicon 2.4
deli hted [admiring]
 
Infinitive 1.3
underspend       underspent [underspend]
 
Infinitive 3.2
            foreseen [foresee]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-15232÷(-16)=952
 
Logics 1.4 in
209952÷(-162)=-1296
 
Logics 2.4 in
20×160÷(-400)=-8
 
Logics 3.4 in
(200000÷(-10))÷25=-800
 
Logics 4.4 in
-100×(10×10)×94=-940000
Fraction Examples
 
 
Limited 0.3 fp
1071/125÷(13/20-31/100)=126/5
 
Limited 2.3 fp
11932/947÷(4/45+1/9)=59660/947
 
Complete 0.3 fn
-3117/298-15/149×217/30=-1667/149
 
Complete 2.3 fn
-193/14÷(-1/11-4/77)=193/2
Equations
 
 
Quadratic 0.2 in
-2x2+26x+280=0
 
 
Quadratic 2.2 in
20x2-1200x=0
 
Quadratic 3.2 in
x2-16x-80=0
 
System 0.2 ip
182x÷14y=13
 
 
System 2.2 ip
12y×x=72000
 
System 3.2 ip
7y+40x=4263
 
Set 0.2 in
-x-y=79
 
Set 1.2 in
-y-x=-26
 
Set 2.2 in
54720y÷24x=-6000
 
Set 3.2 in
-40y-83x=11968
Language Exercises
 
 
 
 
Lexicon 2.5
c mmitment [obligation]
 
Infinitive 2.3
light             [light]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
2x2-540x-33488=0
 
Quadratic 1.3 in
50x2=1232450
 
Quadratic 2.3 in
-370x2-335590x=0
 
Quadratic 3.3 in
-x2+121x+1452=0
 
 
System 2.3 ip
11y×2x=5017320
 
System 3.3 ip
19x+220y=94907
 
Set 0.3 in
-x+y=326
 
Set 1.3 in
-y-x=-370
 
Set 2.3 in
-2y×10x=-2160000
 
Set 3.3 in
-6x-y=-2352
Language Exercises
 
 
Infinitive 3.3
run             [run]

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