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 0.1 ip
10+(9-9)=10
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
 
8+
Recommended for children from eight years
Integer Examples
 
 
 
 
Beginner 2.4 ip
705-207=498
 
Beginner 3.4 ip
32+218=250
 
Beginner 4.3 ip
58-46+67=79
 
Beginner 5.2 ip
16-(1+5)=10
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
29+1 > 62-35
 
Natural 3.1 ip
10÷5 > 4÷4
Equations
 
 
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
11+25-16=20
 
Beginner 4.4 ip
10+38+67=115
 
Beginner 5.3 ip
100+(73-73)=100
 
 
 
 
 
 
Cognizant 5.1 ip
8÷(4÷2)=4
 
Cognizant 6.1 ip
60×2÷(3×4)=10
 
 
Column 1.2 ip
5811+3090=8901
 
Column 2.2 ip
7000-6446=554
 
Column 3.2 ip
8747-4847=3900
 
 
 
Numeracy 1.1 ip
70-7×10=0
 
Numeracy 2.1 ip
8+92÷2÷2=31
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
88÷11=8
 
Division #24
54÷3=18
 
 
Division #26
76÷4=19
 
Division #27
95÷5=19
 
Division #28
40÷2=20
 
Division #29
48÷4=12
 
Division #30
20÷10=2
 
 
Division #32
126÷7=18
 
Division #33
66÷6=11
 
Division #34
88÷8=11
 
Division #35
60÷10=6
 
 
 
Division #38
480÷10=48
 
Division #39
135÷9=15
 
Comparisons
 
 
 
 
Natural 2.3 ip
738-94 < 460+420
 
Natural 3.2 ip
60÷5 < 100÷2
Equations
 
 
 
 
Language Exercises
 
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
950543-250543=700000
 
Beginner 3.5 ip
174686+125314=300000
 
Beginner 5.4 ip
431-(247-156)=340
 
 
Cognizant 1.3 ip
20×245=4900
 
Cognizant 2.3 ip
2400÷80=30
 
Cognizant 3.3 ip
52×81=4212
 
Cognizant 4.2 ip
8×8×12=768
 
Cognizant 5.2 ip
1000÷(400÷40)=100
 
Cognizant 6.2 ip
8×4×(2×10)=640
 
Remainder 1.2 ip
136÷7=19(3)
 
Column 1.3 ip
448033+237992=686025
 
Column 2.3 ip
395396-182878=212518
 
Column 3.3 ip
794288-639670=154618
 
Multiplier 1.2 ip
8600×7=60200
 
Multiplier 1.3 ip
7507×52=390364
 
Divisor 1.2 ip
478÷2=239
 
Numeracy 0.1 ip
45+(15+3)÷18=46
 
Numeracy 1.2 ip
370-40÷2=350
 
Numeracy 2.2 ip
734-44÷22×289=156
 
Numeracy 3.1 ip
(4+7)×(7+2)=99
 
 
Comparisons
 
 
Natural 0.3 ip
506+469 > 107+148
 
Natural 1.4 ip
611200 < 611247
 
Natural 2.4 ip
15000+234100 < 314994+615006
 
Natural 3.3 ip
36×8 > 38×3
Equations
 
 
 
Linear 1.3 ip
x+136=763
 
Linear 2.3 ip
41×x=410
 
Linear 3.2 ip
33+x÷3=56
 
Linear 4.1 ip
9÷(x+1)=3
Rounding
 
 
Round 1.1 ip
232≈23
 
Round 1.2 ip
3830≈38
 
Round 2.1 ip
810+92≈90
Language Exercises
 
 
Russian Vocabulary 2.3
вн мание
 
 
 
Lexicon 1.2
p ate [dish]
 
Lexicon 2.2
our  [pronoun]
 
Infinitive 1.1
rid       rid [rid]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
40000+955560=995560
 
Beginner 4.5 ip
114479+71580+313941=500000
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
-522467-204929=-727396
 
 
 
Cognizant 4.3 ip
210÷14÷15=1
 
Cognizant 5.3 ip
(5×50)÷2=125
 
Cognizant 6.3 ip
960÷16×(90÷6)=900
 
Remainder 1.3 ip
654÷100=6(54)
 
Multiplier 1.4 ip
8648×270=2334960
 
Divisor 1.3 ip
9315÷45=207
 
Numeracy 0.2 ip
451×2-76÷19=898
 
Numeracy 0.3 ip
4200-600÷20-3362=808
 
Numeracy 1.3 ip
2000-176÷44=1996
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
276+(45-44)×37=313
 
Numeracy 3.3 ip
(136+1704)÷(53+867)=2
 
Divisor_ENG 1.3 ip
7991÷61=131
 
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 1.2 dp
0.9+71.2=72.1
 
Partitive 2.1 dp
8.4-1.2-2.2=5
 
Partitive 2.2 dp
87.9-17.7-7.4=62.8
 
Partitive 3.1 dp
2+(6.6-0.2)=8.4
 
Partitive 3.2 dp
31.4+(63.7-39)=56.1
 
Divisional 1.1 dp
48.6÷1.2=40.5
 
Denary 1.1 dp
8.4×4.5=37.8
 
Denary 2.1 dp
12.6÷0.5=25.2
 
Denary 3.1 dp
1.4×2.5=3.5
 
Fraction Examples
 
 
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
 
 
Natural 0.4 ip
890114-40114 > 305002+36972
 
Natural 3.4 ip
13×16 < 35732÷2
 
 
 
Ceil 2.1 in
7-10 < -2-0
 
Ceil 3.1 in
6÷2 < -2×(-4)
 
Point 1.1 dp
78.7 > 29.7
 
Point 2.1 dp
81.4-79.4 < 3.9+83.3
 
 
Improper 1.2 fp
27/40 > 7/20
 
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
 
 
Linear 0.2 ip
60+x×9=96
 
 
Linear 3.3 ip
x÷463-1=0
 
Linear 4.2 ip
56÷(x+1)=7
 
Linear 4.3 ip
(747-x)×117=585
 
 
Lineal 2.1 in
x÷(-7)=-1
Rounding
 
 
 
Rounding 2.1 dp
19.1-18.1≈1
 
Round 0.1 ip
529≈53
 
Round 0.2 ip
1528≈15
 
Round 0.3 ip
535855≈536
 
Round 1.3 ip
809804≈810
 
Round 2.2 ip
1752+3651≈54
 
Round 2.3 ip
945024-244674≈700
 
Round 3.1 ip
5×25≈13
 
Round 3.2 ip
4136÷8≈5
 
Round 3.3 ip
870504÷152≈6
Language Exercises
 
 
Russian Vocabulary 1.4
орг низм
 
 
 
 
 
Lexicon 1.3
un form [outfit]
 
Infinitive 2.1
take             [take]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
-(10+6)+(6+0)=-10
 
Conversant 0.2 in
(4+2)+(4+6)=16
 
Conversant 0.3 in
22-(60-34)=-4
 
 
 
 
Conversant 2.3 in
-67-66+100=-33
 
 
Conversant 3.2 in
-8-(1+4)=-13
 
Conversant 3.3 in
-66-(0-18)=-48
 
Conversant 4.1 in
-(3-0)+(8+5)=10
 
Conversant 4.2 in
(19+3)-(3+4)=15
 
Conversant 4.3 in
-(68-40)+(40+60)=72
 
Cognizant 0.4 ip
505×408=206040
 
Cognizant 1.4 ip
384×150=57600
 
Cognizant 2.4 ip
10235÷89=115
 
Cognizant 3.4 ip
716082÷138=5189
 
Cognizant 4.4 ip
2×10000÷160=125
 
Cognizant 5.4 ip
(500÷2)×40=10000
 
Cognizant 6.4 ip
109×(336÷8)÷14=327
 
Multiplier 1.5 ip
48742×1676=81691592
 
Divisor 1.4 ip
95559÷53=1803
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
-91÷13+11=4
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
-35-(92-77)÷5=-38
 
Logics 0.1 in
-18÷(3×(-3))=2
 
Logics 1.1 in
-66÷(-6)=11
 
Logics 2.1 in
10×(-3)×(-3)=90
 
Logics 3.1 in
(-80÷2)÷(-4)=10
 
Logics 4.1 in
-2×(48÷(-6))÷8=2
 
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
 
 
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
 
Partitive 1.3 dp
26.24-25.89=0.35
 
Partitive 2.3 dp
70-58+33=45
 
Partitive 3.3 dp
81.88-(16+24)=41.88
 
Split 0.1 dn
-7.5+0.5=-7
 
Split 0.2 dn
-12-(1.3+16.1)=-29.4
 
Split 1.1 dn
-2.9+3.1=0.2
 
Split 1.2 dn
-84-14.4=-98.4
 
Split 2.1 dn
4.7+6.9-9.7=1.9
 
Split 2.2 dn
-98.1+66.3-48.6=-80.4
 
Split 3.1 dn
0.8-(5.7+5)=-9.9
 
Split 3.2 dn
-5-(8.1+52.6)=-65.7
 
Residual 1.1 dp
14÷10=1.4
 
Divisional 1.2 dp
3.92÷0.05=78.4
 
Denary 0.1 dp
4.5×0.8=3.6
 
Denary 1.2 dp
2.2×1.05=2.31
 
Denary 2.2 dp
43.2÷72=0.6
 
Denary 3.2 dp
42.24÷64=0.66
 
Denary 4.1 dp
9×2.8÷7.2=3.5
 
Denary 5.1 dp
(9×0.1)÷3=0.3
 
Definition 0.1 dp
74.1÷9.5-0.2=7.6
 
Definition 1.1 dp
11.1+3.8×3=22.5
 
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
 
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
 
Negatory 1.1 dn
-18÷1.8-23=-33
 
Negatory 2.1 dn
91-3×9.6-34.2=28
 
 
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
 
 
Numerator 0.1 fp
3/5+2/5-5/8=3/8
 
Numerator 0.2 fp
8/13+5/13+17/22=39/22
 
Numerator 1.2 fp
3/10+841/90=434/45
 
Numerator 2.1 fp
7/9-1/9-4/9=2/9
 
Numerator 2.2 fp
119/87+484/87-201/29=0/1
 
Numerator 3.1 fp
9/10-(7/10+1/10)=1/10
 
Numerator 3.2 fp
266/29-(47/29-13/29)=8/1
 
Denominator 0.1 fn
1/3+2/3-2/3=1/3
 
 
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
 
Denominator 3.1 fn
-1/8+(-1/8-1/8)=-3/8
 
Fragment 1.1 fp
3/5×7/3=7/5
 
Fragment 1.2 fp
14/3×6/35=4/5
 
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
 
 
Reduction 1.2 fp
480/16=30/1
 
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
 
 
Ceil 0.2 in
15÷(-5) > -40÷10
 
Ceil 0.3 in
978÷(-6) < -810÷6
 
Ceil 1.2 in
-24 < 48
 
Ceil 1.3 in
730 > 554
 
Ceil 2.2 in
-2+98 > -55+80
 
Ceil 2.3 in
-239-388 < -248+30
 
Ceil 3.2 in
-12×2 < 5×7
 
Ceil 3.3 in
-640÷(-16) < 666÷2
 
Point 0.1 dp
90.4-17.9 > 99.7-61
 
Point 0.2 dp
56.88-4.25 < 1.7+50.94
 
Point 1.2 dp
81 > 80.07
 
Point 1.3 dp
63.298 > 40
 
Point 1.4 dp
190.863 < 436.083
 
Point 2.2 dp
26.53+26.28 > 1.85+50.07
 
Point 2.3 dp
86.162-52.642 = 97.534-64.014
 
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
 
Point 3.2 dp
1.6×11.25 < 81÷4.05
 
Doted 0.1 dn
53.6 > 44.8
 
Doted 0.2 dn
9.5 < 89.95
 
Doted 1.1 dn
76.8 > -62.4
 
Doted 1.2 dn
97.11 = 97.11
 
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
 
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
 
Doted 3.1 dn
-97.2÷1.8 < 2×(-4.4)
 
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
 
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
2616/43 > 411/11
 
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
 
Improper 2.3 fp
403/9-26911/603 < 5/2+251/4
 
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
 
Improper 3.2 fp
1/2÷61/34 < 1/2×3/5
 
Descent 1.1 fn
-1/6 > -3/4
 
Descent 1.2 fn
-264/49 < 125/17
 
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
 
 
Lineal 1.3 in
-x-561=409
 
Lineal 2.2 in
-2×x=-84
 
Lineal 2.3 in
x×(-31)=-930
 
Lineal 3.1 in
-x×4+6=2
 
Lineal 3.2 in
-60-2×x=100
 
Lineal 4.1 in
-2×(x-7)=6
 
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
 
 
 
Rounding 0.2 dp
60.42-5.14≈55.3
 
Rounding 1.2 dp
61.65≈61.7
 
Rounding 1.3 dp
9.106≈9.11
 
Rounding 2.2 dp
45.64+15.81≈61.5
 
Rounding 2.3 dp
79.659-59.158≈20.5
 
Rounding 3.1 dp
21.7÷37.3≈1
 
Rounding 3.2 dp
100÷2≈50
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
mem ry [remembrance]
 
Infinitive 1.2
let let       [let]
 
Infinitive 3.1
unspin             [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-875-(-494+440)=-821
 
Conversant 0.5 in
629575-632768=-3193
 
Conversant 1.4 in
-493+602=109
 
Conversant 2.4 in
-478+53+796=371
 
Conversant 2.5 in
-39565-759256-36212=-835033
 
Conversant 3.4 in
29-(-288-682)=999
 
Conversant 3.5 in
-114464-(-343305+181000)=47841
 
Conversant 4.4 in
-(288+616)-(151-335)=-720
 
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
 
Divisor 1.5 ip
20000÷100=200
 
Intellect 0.2 in
-295-56×44÷11=-519
 
Intellect 1.2 in
-90×7-21=-651
 
Intellect 2.2 in
916÷2-280÷35=450
 
Intellect 3.2 in
-176-(903-957)÷9=-170
 
Logics 0.2 in
91÷(-7)=-13
 
Logics 1.2 in
-20×(-15)=300
 
Logics 2.2 in
-20×25÷2=-250
 
Logics 3.2 in
-4×(5×5)=-100
 
Logics 4.2 in
20×(-26÷13)×(-8)=320
 
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
 
 
 
 
Partitive 2.4 dp
296.5+158.694-155.194=300
 
Partitive 3.4 dp
380.021+(381.715+92)=853.736
 
Split 0.3 dn
-54.65-5.27-17.34=-77.26
 
Split 0.4 dn
-582.667+45+112.667=-425
 
Split 1.3 dn
13.3-6.79=6.51
 
Split 1.4 dn
-294.406+538.728=244.322
 
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
-70-(-97.33-62.67)=90
 
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
 
 
Divisional 1.3 dp
0.072÷0.1=0.72
 
Denary 0.2 dp
0.96÷(0.8×0.05)=24
 
Denary 0.3 dp
5.5×0.046=0.253
 
Denary 1.3 dp
0.736×20=14.72
 
Denary 2.3 dp
2.64÷1.32=2
 
Denary 3.3 dp
3.432÷1.716=2
 
Denary 4.2 dp
43.75×0.24÷7.5=1.4
 
Denary 4.3 dp
35.64÷88÷1.35=0.3
 
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
 
Denary 5.3 dp
(24.48÷61.2)÷0.883=0.453
 
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
 
Definition 1.2 dp
29.2-2.72÷13.6=29
 
Definition 1.3 dp
61.675+0.768÷0.64=62.875
 
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
 
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
 
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
 
Negatory 0.1 dn
-78÷1.3+39.1=-20.9
 
Negatory 0.2 dn
56.77+3×10.4=87.97
 
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
 
Negatory 1.3 dn
-4.1×16+93.42=27.82
 
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
 
Negatory 2.3 dn
56.482-0.8÷1.28×98=-4.768
 
Negatory 3.1 dn
(11.7+7.8)÷(29+36)=0.3
 
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
 
 
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
 
 
Numerator 0.3 fp
4744/99-(1/5+356/495)=47/1
 
Numerator 1.3 fp
6998/159-5329/318=2889/106
 
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
 
Numerator 3.3 fp
3044/35-(1/5+27/35)=86/1
 
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
 
Denominator 1.2 fn
-52/63+5/7=-1/9
 
Denominator 1.3 fn
-2551/498+134/3=19693/498
 
Denominator 2.2 fn
5/6+191/66-12/77=25/7
 
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
 
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
 
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
 
Fragment 1.3 fp
304/9÷3154/81=72/83
 
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
 
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
 
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
 
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
 
Reduction 1.3 fp
2112/3504=44/73
 
Limited 0.1 fp
1/6+2/3×1/8=1/4
 
Limited 1.2 fp
95/3÷19/28-29/3=37/1
 
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
 
Complete 0.1 fn
2/9×(-1/2-1/4)=-1/6
 
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
 
Complete 1.2 fn
2/29+5/6÷145/18=5/29
 
Complete 2.1 fn
-8/3÷(7/4+9/4)=-2/3
Comparisons
 
 
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
 
Ceil 1.4 in
-582416 > -971631
 
Ceil 2.4 in
-202637+662637 < 105202+359469
 
Ceil 3.4 in
600442÷(-2) < 160912÷2
 
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
 
Point 0.4 dp
799.414 > 530.701
 
Point 2.4 dp
860.973-709.01 < 129.424+22.543
 
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
 
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
 
Doted 0.3 dn
5.32×(-15) < 64.064÷16
 
Doted 1.3 dn
9.859 > -20.155
 
Doted 1.4 dn
707 > 650
 
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
 
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
 
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
 
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
 
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
 
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
 
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
 
Descent 1.3 fn
-13777/249 < -61/415
 
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
 
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
 
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
 
 
Lineal 0.3 in
2×(-x+375)=750
 
Lineal 3.3 in
-38×x-112=-872
 
Lineal 4.3 in
-300÷(176-x)=-60
 
Rounding
 
 
Rounding 0.3 dp
38.306-18.454≈19.85
 
Rounding 3.3 dp
37.5÷1.25≈30
Language Exercises
 
 
Russian Vocabulary 1.5
наскво ь
 
Russian Vocabulary 3.4
систем тически
 
 
 
Lexicon 1.4
poi onous [noxious]
 
Infinitive 2.2
            hung [hang]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-158×54-2160÷80=-8559
 
Intellect 1.3 in
-2772÷18-5199=-5353
 
Intellect 2.3 in
7189-432÷24×3996=-64739
 
Intellect 3.3 in
-136-350÷(4905-4903)=-311
 
Logics 0.3 in
3168÷2÷(-4)=-396
 
Logics 1.3 in
-160÷20=-8
 
Logics 2.3 in
-15×500÷(-2)=3750
 
Logics 3.3 in
(1600÷100)×87=1392
 
Logics 4.3 in
-480÷(-4÷2)÷(-4)=-60
Decimal Examples
 
 
 
Denary 0.4 dp
115.2÷384=0.3
 
Denary 1.4 dp
0.5×0.18=0.09
 
Denary 2.4 dp
11.4÷30.4=0.375
 
Denary 3.4 dp
1.012÷1.265=0.8
 
Denary 4.4 dp
0.864÷2.4×890=320.4
 
Denary 5.4 dp
3.36×(0.52×3.125)=5.46
 
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
 
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
 
Definition 1.4 dp
309.816+1.84÷10=310
 
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
 
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
 
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
 
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
 
Negatory 0.4 dn
-100.8÷0.896-466.011=-578.511
 
Negatory 1.4 dn
101.99+28.125×19.2=641.99
 
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
 
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
 
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
 
Fraction Examples
 
 
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
 
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
 
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
 
Fragment 0.3 fp
41/3÷205/3=1/5
 
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
 
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
 
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
 
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
 
Complete 0.2 fn
1/6+1/2÷3/4=5/6
 
Complete 1.3 fn
6/11÷72/55-473/804=-23/134
 
Complete 2.2 fn
(2/3-8/3)×1/4=-1/2
Comparisons
 
 
Doted 0.4 dn
-315.402 < 998.655
 
Doted 3.4 dn
928.872÷(-63) < 545.9÷50
 
Descent 0.3 fn
3681/353 > -268/5
 
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
 
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
 
 
Quadratic 0.1 in
-x2+7x-10=0
 
 
 
Quadratic 3.1 in
-2x2+6x+8=0
 
 
 
System 2.1 ip
3y×4x=432
 
 
Set 0.1 in
-x+y=20
 
 
Set 2.1 in
-2y×2x=-400
 
Set 3.1 in
-7y-3x=91
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
commer ial [trading]
 
Lexicon 2.4
m ntally [intellectually]
 
Infinitive 1.3
mean       meant [mean]
 
Infinitive 3.2
      sowed       [sow]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-19×26÷(4199÷(-221))=26
 
Logics 1.4 in
-3960÷88=-45
 
Logics 2.4 in
20×160÷(-400)=-8
 
Logics 3.4 in
-640000÷(3200÷(-800))=160000
 
Logics 4.4 in
-693120÷(2888÷(-38))÷16=570
Fraction Examples
 
 
Limited 0.3 fp
(50/3+203/24)×40/67=15/1
 
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
 
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
 
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
 
 
Quadratic 0.2 in
-2x2+26x+280=0
 
 
Quadratic 2.2 in
-84x2+3948x=0
 
Quadratic 3.2 in
2x2+34x-540=0
 
 
 
 
System 3.2 ip
60y-30x=2100
 
Set 0.2 in
-29y-24x=3230
 
Set 1.2 in
-x+y=64
 
Set 2.2 in
29568y÷77x=-4480
 
Set 3.2 in
-31y-x=-1509
Language Exercises
 
 
Russian Vocabulary 3.5
масл ница
 
 
Lexicon 2.5
ind pendence [liberty]
 
Infinitive 2.3
overdo             [overdo]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
2x2-540x-33488=0
 
Quadratic 1.3 in
231x2=1006236
 
Quadratic 2.3 in
950x2-148200x=0
 
Quadratic 3.3 in
3x2+288x+6045=0
 
 
System 2.3 ip
840x÷294y=4
 
System 3.3 ip
134x-10y=240
 
Set 0.3 in
-46x+254y=95236
 
Set 1.3 in
-y+x=101
 
Set 2.3 in
-10x×4y=-3149280
 
Set 3.3 in
239y-9x=-98470
Language Exercises
 
 
Infinitive 3.3
forego             [forego]

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