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-(7+2)=1
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
8+
Recommended for children from eight years
Integer Examples
 
 
 
Beginner 1.4 ip
221+746=967
 
Beginner 2.4 ip
504-109=395
 
Beginner 3.4 ip
90+444=534
 
Beginner 4.3 ip
58-46+67=79
 
Beginner 5.2 ip
8+(9+2)=19
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.1 ip
10÷10 < 6÷1
 
 
Natural 2.2 ip
61+7 > 49-4
 
Natural 3.1 ip
10×1 > 8÷8
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
70-40+16=46
 
Beginner 4.4 ip
318-27+316=607
 
Beginner 5.3 ip
49+(31+12)=92
 
Cognizant 0.1 ip
6×(8÷2)÷3=8
 
 
 
 
Cognizant 4.1 ip
2×30÷6=10
 
Cognizant 5.1 ip
100÷(4×5)=5
 
Cognizant 6.1 ip
6×(2×9)÷3=36
 
 
Column 1.2 ip
8129+385=8514
 
Column 2.2 ip
2694-2070=624
 
Column 3.2 ip
9000+1000=10000
 
 
 
Numeracy 1.1 ip
87-34÷2=70
 
Numeracy 2.1 ip
26-60÷2÷15=24
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #22
24÷2=12
 
 
 
 
Division #26
80÷4=20
 
 
 
Division #29
36÷2=18
 
Division #30
20÷10=2
 
Division #31
114÷6=19
 
 
Division #33
91÷7=13
 
Division #34
88÷8=11
 
 
 
 
Division #38
420÷20=21
 
Division #39
135÷9=15
 
Comparisons
 
 
Natural 0.2 ip
73-19 > 42-10
 
 
Natural 2.3 ip
400+529 > 860-406
 
Natural 3.2 ip
26÷2 > 80÷10
Equations
 
 
 
 
Linear 3.1 ip
4+3×x=10
Language Exercises
 
 
Russian Vocabulary 1.3
ант гуманный
 
 
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
654-11=643
 
Beginner 1.5 ip
82493+27507=110000
 
Beginner 2.5 ip
950543-250543=700000
 
Beginner 3.5 ip
168275+157510=325785
 
Beginner 5.4 ip
306+(286+124)=716
 
Cognizant 0.2 ip
192÷(24÷2)=16
 
Cognizant 1.3 ip
20×245=4900
 
Cognizant 2.3 ip
8435÷35=241
 
Cognizant 3.3 ip
8408÷8=1051
 
Cognizant 4.2 ip
456÷3÷2=76
 
Cognizant 5.2 ip
120÷(4×2)=15
 
Cognizant 6.2 ip
17×(39÷3)÷221=1
 
Remainder 1.2 ip
100÷17=5(15)
 
Column 1.3 ip
347811+402227=750038
 
Column 2.3 ip
395396-182878=212518
 
Column 3.3 ip
160633+200447=361080
 
Multiplier 1.2 ip
8264×3=24792
 
Multiplier 1.3 ip
1397×50=69850
 
 
Numeracy 0.1 ip
80+30÷3×2=100
 
Numeracy 1.2 ip
30×10+498=798
 
Numeracy 2.2 ip
158×6+540÷20=975
 
Numeracy 3.1 ip
14-28÷(33-26)=10
 
 
Remainder_ENG 1.2 ip
284÷16=17(12)
Comparisons
 
 
Natural 0.3 ip
744÷8 > 5×3
 
Natural 1.4 ip
897165 > 204909
 
Natural 2.4 ip
385288+74712 < 994888-126225
 
Natural 3.3 ip
15×4 > 8×5
Equations
 
 
 
Linear 1.3 ip
x+134=724
 
Linear 2.3 ip
41×x=410
 
Linear 3.2 ip
18+48÷x=20
 
Linear 4.1 ip
(6-x)×4=8
Rounding
 
 
Round 1.1 ip
713≈71
 
Round 1.2 ip
1953≈20
 
Round 2.1 ip
927-21≈91
Language Exercises
 
 
 
 
 
Lexicon 1.2
u ban [municipal]
 
Lexicon 2.2
l kely [probably]
 
Infinitive 1.1
smite smote       [smite]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
689169+235946=925115
 
Beginner 4.5 ip
561273+249458-799031=11700
 
Beginner 5.5 ip
990636-(121295+199341)=670000
 
 
Conversant 1.5 in
-74568-307000=-381568
 
 
 
Cognizant 4.3 ip
50×6÷5=60
 
Cognizant 5.3 ip
2×(4×500)=4000
 
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
 
Remainder 1.3 ip
436÷67=6(34)
 
Multiplier 1.4 ip
48333×171=8264943
 
Divisor 1.3 ip
7826÷13=602
 
Numeracy 0.2 ip
780÷4-95=100
 
Numeracy 0.3 ip
4704÷28+2280÷760=171
 
Numeracy 1.3 ip
290×16-3379=1261
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
(46+299)÷(21+2)=15
 
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
 
 
Decimal Examples
 
 
Partitive 0.1 dp
8.2-0.3-1=6.9
 
Partitive 0.2 dp
70.2-39.4+6=36.8
 
 
Partitive 1.2 dp
86.5-39.9=46.6
 
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
57-(33.5+3.5)=20
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
6×1.1=6.6
 
Denary 2.1 dp
16.4÷0.5=32.8
 
Denary 3.1 dp
15.6÷0.8=19.5
 
Fraction Examples
 
 
Numerator 1.1 fp
1/4+3/4=1/1
Comparisons
 
 
Natural 0.4 ip
300830+407403 < 880295-31818
 
Natural 3.4 ip
512000÷256 < 906696÷28
 
 
 
Ceil 2.1 in
1+1 > -1-9
 
Ceil 3.1 in
2×(-5) < 4×(-2)
 
Point 1.1 dp
78.7 > 29.7
 
Point 2.1 dp
42+3 > 80.8-35.9
 
 
 
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
 
 
Linear 0.2 ip
57÷(x-1)=19
 
Linear 0.3 ip
x×90-990=0
 
Linear 3.3 ip
960-x×46=40
 
Linear 4.2 ip
68÷(14+x)=2
 
Linear 4.3 ip
300÷(3+x)=100
 
 
Lineal 2.1 in
-x×5=-10
Rounding
 
 
 
Rounding 2.1 dp
2.8+54.2≈57
 
Round 0.1 ip
942≈94
 
Round 0.2 ip
9002≈90
 
Round 0.3 ip
834224÷272≈3
 
Round 1.3 ip
822773≈823
 
Round 2.2 ip
1581+2585≈42
 
Round 2.3 ip
388504+12707≈401
 
Round 3.1 ip
975÷15≈7
 
Round 3.2 ip
9646÷2≈48
 
Round 3.3 ip
3238×200≈648
Language Exercises
 
 
Russian Vocabulary 1.4
экспл атация
 
 
 
 
 
Lexicon 1.3
dis olve [melt]
 
Infinitive 2.1
mislay             [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
-48-(-43-79)=74
 
 
 
 
Conversant 2.3 in
-36+10-42=-68
 
 
Conversant 3.2 in
-11-(-7-14)=10
 
Conversant 3.3 in
90-(100+10)=-20
 
Conversant 4.1 in
(10+2)+(6-8)=10
 
Conversant 4.2 in
-(12+10)+(16+5)=-1
 
Conversant 4.3 in
-(50-68)-(67+38)=-87
 
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
 
Cognizant 1.4 ip
247×239=59033
 
Cognizant 2.4 ip
214200÷357=600
 
Cognizant 3.4 ip
450000÷150=3000
 
Cognizant 4.4 ip
250×2÷10=50
 
Cognizant 5.4 ip
80×(2×25)=4000
 
Cognizant 6.4 ip
240×(6÷3)×950=456000
 
Multiplier 1.5 ip
51004×1300=66305200
 
Divisor 1.4 ip
60667÷19=3193
 
Intellect 0.1 in
-12÷2-75÷3=-31
 
Intellect 1.1 in
-20+5×2=-10
 
Intellect 2.1 in
-9-7×3-43=-73
 
Intellect 3.1 in
(6-66)÷(-2-4)=10
 
Logics 0.1 in
3×(-7)=-21
 
Logics 1.1 in
8×(-8)=-64
 
Logics 2.1 in
-48÷(-2)÷4=6
 
Logics 3.1 in
(-80÷2)÷(-4)=10
 
Logics 4.1 in
-2×(48÷(-6))÷8=2
 
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
 
 
Partitive 0.3 dp
64.5+15.95=80.45
 
Partitive 1.3 dp
1.07+25=26.07
 
Partitive 2.3 dp
0.88+53.43+11.69=66
 
Partitive 3.3 dp
95.31-(35.34+44.97)=15
 
Split 0.1 dn
-2+7.7=5.7
 
Split 0.2 dn
-77.5+41=-36.5
 
Split 1.1 dn
1.4+3.9=5.3
 
Split 1.2 dn
33.7-5.7=28
 
Split 2.1 dn
0.6-4.8+5.1=0.9
 
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
-40.3-(8.8+4)=-53.1
 
Residual 1.1 dp
72÷5=14.4
 
Divisional 1.2 dp
39.78÷2.25=17.68
 
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
 
Denary 1.2 dp
2.25×2.4=5.4
 
Denary 2.2 dp
0.62÷2.48=0.25
 
Denary 3.2 dp
1.2÷0.5=2.4
 
Denary 4.1 dp
1.5÷5×94=28.2
 
Denary 5.1 dp
1.2÷(12÷6)=0.6
 
Definition 0.1 dp
74.1÷9.5-0.2=7.6
 
Definition 1.1 dp
0.8÷0.5+21.7=23.3
 
Definition 2.1 dp
16.3-32×2.7÷9=6.7
 
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
 
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
 
Negatory 2.1 dn
-12×0.3+1.6÷0.8=-1.6
 
 
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
 
 
Numerator 0.1 fp
8/9-1/9-1/3=4/9
 
Numerator 0.2 fp
2/3+131/15=47/5
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
3/10-1/10+3/10=1/2
 
Numerator 2.2 fp
39/5-29/5-82/75=68/75
 
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
 
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
 
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
 
Denominator 1.1 fn
7/10-1/10=3/5
 
Denominator 2.1 fn
3/10-3/5+3/10=0/1
 
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
 
Fragment 1.1 fp
3/2×10/7=15/7
 
Fragment 1.2 fp
139/8÷973/44=11/14
 
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
 
 
Reduction 1.2 fp
1200/50=24/1
 
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
 
 
 
Ceil 0.3 in
-441+457 = -634+650
 
Ceil 1.2 in
-61 < 86
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
-4+57 > 24+13
 
Ceil 2.3 in
-872+812 > -336-83
 
Ceil 3.2 in
-99÷3 < 2×42
 
Ceil 3.3 in
-25×4 < 990÷9
 
Point 0.1 dp
59.7 < 76.5
 
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
 
Point 1.2 dp
80.2 > 13.27
 
Point 1.3 dp
73.296 = 73.296
 
Point 1.4 dp
879.642 < 950.264
 
Point 2.2 dp
57.48+37.52 > 30.98+13.93
 
Point 2.3 dp
92-90.378 = 0.592+1.03
 
Point 3.1 dp
99÷11 > 0.8×2.5
 
Point 3.2 dp
29.9÷10 < 18.9÷1.26
 
Doted 0.1 dn
-47.3 < 47.4
 
Doted 0.2 dn
58.53-7.3 > -81.46+100
 
Doted 1.1 dn
-1.8 > -42
 
Doted 1.2 dn
-63.97 < 63.96
 
Doted 2.1 dn
-1.2+100 > 54.4-37.4
 
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
 
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
 
Doted 3.2 dn
2.5×3 < -15×(-2.3)
 
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
1703/128 > 71/352
 
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
 
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
 
Improper 3.1 fp
2/3×1/2 > 7/10×2/7
 
Improper 3.2 fp
15/2÷45/38 = 3/4÷9/76
 
Descent 1.1 fn
-1/6 > -3/4
 
Descent 1.2 fn
16/53 < 1/1
 
Descent 2.1 fn
-1/2-1/3 < -4/9+7/9
Equations
 
 
Lineal 0.1 in
3×(-x-8)=0
 
 
 
 
Lineal 2.2 in
-x×(-2)=-56
 
Lineal 2.3 in
x×31=806
 
 
Lineal 3.2 in
33÷x-3=0
 
Lineal 4.1 in
3÷(-x+9)=-3
 
Lineal 4.2 in
-36÷(98+x)=18
Rounding
 
 
Rounding 0.1 dp
80.9-15.9≈65
 
Rounding 0.2 dp
21.52≈21.5
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
24.995≈25
 
Rounding 2.2 dp
52.06+0.95≈53
 
Rounding 2.3 dp
79.836+3.283≈83.12
 
Rounding 3.1 dp
83÷9.1≈9
 
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
 
 
Russian Vocabulary 2.4
напр вление
 
 
Lexicon 2.3
unf irly [unjustly]
 
Infinitive 1.2
sleep       slept [sleep]
 
Infinitive 3.1
            sworn [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-74-280+927=573
 
Conversant 0.5 in
-838313+779082=-59231
 
 
Conversant 2.4 in
0-413-496=-909
 
Conversant 2.5 in
232056+913665-686147=459574
 
Conversant 3.4 in
287-(582+82)=-377
 
Conversant 3.5 in
-509896-(160000+72654)=-742550
 
Conversant 4.4 in
-(707+363)+(546-286)=-810
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
8480012÷659=12868
 
Intellect 0.2 in
-423-21÷3×81=-990
 
Intellect 1.2 in
503-300÷100=500
 
Intellect 2.2 in
-170-19×6-136=-420
 
Intellect 3.2 in
600-27÷(10+17)=599
 
Logics 0.2 in
-528÷(-16)×13=429
 
 
Logics 2.2 in
-36×(-2)×9=648
 
Logics 3.2 in
(1000÷4)÷25=10
 
Logics 4.2 in
2×(-7×(-5))×(-5)=-350
 
Divisor_ENG 1.5 ip
9900000÷300=33000
Decimal Examples
 
 
Partitive 0.4 dp
246.738+60-150.738=156
 
Partitive 1.4 dp
588.902-74.629=514.273
 
Partitive 2.4 dp
399.054-63.768+347.714=683
 
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
 
Split 0.3 dn
12+46=58
 
Split 0.4 dn
-582.667+45+112.667=-425
 
Split 1.3 dn
95-11.43=83.57
 
Split 1.4 dn
423.979+231.642=655.621
 
Split 2.3 dn
-11.75-31.43+97.77=54.59
 
Split 2.4 dn
-88+222.698+535.302=670
 
Split 3.3 dn
-70-(-97.33-62.67)=90
 
Split 3.4 dn
-403.384+(226-568.333)=-745.717
 
Residual 1.2 dp
50÷20=2.5
 
Divisional 1.3 dp
0.168÷0.014=12
 
Denary 0.2 dp
86.64÷30.4=2.85
 
Denary 0.3 dp
2.208÷(2.4×0.32)=2.875
 
Denary 1.3 dp
1.28×3.125=4
 
Denary 2.3 dp
3÷1.875=1.6
 
Denary 3.3 dp
1.1×0.04=0.044
 
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
0.6÷(27.05÷5.41)=0.12
 
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
 
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
 
Definition 1.2 dp
50.4÷6.72-3.27=4.23
 
Definition 1.3 dp
1.2×0.005+84.66=84.666
 
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
 
Definition 2.3 dp
37.337+26.01÷15÷1.734=38.337
 
Definition 3.2 dp
(0.5+0.7)×(4.3+39.7)=52.8
 
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
 
Negatory 0.2 dn
-21.28+41.6÷1.25=12
 
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
 
Negatory 1.3 dn
-26.24-34.56÷6=-32
 
Negatory 2.2 dn
100-10÷2.5-79=17
 
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
 
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
 
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
 
 
Divisional_ENG 1.3 dp
28.98÷5.152=5.625
Fraction Examples
 
 
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
 
Numerator 1.3 fp
44258/575-43918/575=68/115
 
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
 
Numerator 3.3 fp
84037/891-(14552/891-13378/891)=93/1
 
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
 
Denominator 1.2 fn
137/21-149/21=-4/7
 
Denominator 1.3 fn
49/6+1049/90=892/45
 
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
 
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
 
Fragment 0.1 fp
1/2×(4/3÷8/9)=3/4
 
Fragment 0.2 fp
2/5×15/16=3/8
 
Fragment 1.3 fp
13/3×43/4=559/12
 
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
 
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
 
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
 
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
 
Reduction 1.3 fp
507/651=169/217
 
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
 
Limited 1.2 fp
51/2÷85/6+443/40=103/8
 
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
 
Complete 0.1 fn
(-17/5-13/5)×1/6=-1/1
 
Complete 1.1 fn
61/8-15/4÷5/9=7/8
 
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
 
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
 
 
Ceil 0.4 in
-244716 > -949111
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
876219-121902 > -260768-593141
 
Ceil 3.4 in
46×(-99) = -396198÷87
 
Point 0.3 dp
0.625×26.52 < 1.216×70
 
Point 0.4 dp
241.937+48.063 < 320.282+452.885
 
Point 2.4 dp
405.597-304.966 < 41.823+222.594
 
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
 
Point 3.4 dp
1.75×39.424 < 92.16×1.575
 
Doted 0.3 dn
-28.96 < 60.864
 
Doted 1.3 dn
9.453 > -26.863
 
Doted 1.4 dn
-931.524 < 220
 
Doted 2.3 dn
-15.399-17.51 > 10-89.552
 
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
13313/275-36909/770 < 8499/112-16791/224
 
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
 
Descent 0.1 fn
1/2-1/4 < -2/9+8/9
 
Descent 0.2 fn
67/72 > -3/5
 
Descent 1.3 fn
-86480/869 < 3796/209
 
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
-1/4÷(-24/35) = 1/4×35/24
Equations
 
 
Lineal 0.3 in
2×(-x+375)=750
 
Lineal 3.3 in
-1+x÷577=0
 
Lineal 4.3 in
-(-x-855)×40=-880
 
Rounding
 
 
Rounding 0.3 dp
52.995≈53
 
Rounding 3.3 dp
0.709×40.284≈28.56
Language Exercises
 
 
Russian Vocabulary 1.5
наскво ь
 
Russian Vocabulary 3.4
м тежный
 
 
 
Lexicon 1.4
campai n [crusade]
 
Infinitive 2.2
underwrite             [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-7268-368÷92+17272=10000
 
Intellect 1.3 in
110÷55-5911=-5909
 
Intellect 2.3 in
35584÷16+352÷2=2400
 
Intellect 3.3 in
6298+22÷(3400-3389)=6300
 
Logics 0.3 in
25×(-19)=-475
 
Logics 1.3 in
-336÷(-8)=42
 
Logics 2.3 in
952÷(-34)×95=-2660
 
Logics 3.3 in
1260÷(5×(-7))=-36
 
Logics 4.3 in
-221÷17×(6÷(-3))=26
Decimal Examples
 
 
Residual 1.3 dp
54÷40=1.35
 
Denary 0.4 dp
12.48÷(192÷100)=6.5
 
Denary 1.4 dp
6.72×1.25=8.4
 
Denary 2.4 dp
529.2÷282.24=1.875
 
Denary 3.4 dp
42.24÷1.056=40
 
Denary 4.4 dp
1.28×250×0.125=40
 
Denary 5.4 dp
(810÷28.125)×0.25=7.2
 
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
 
Definition 0.4 dp
310×0.104+48.75×12.672=650
 
Definition 1.4 dp
38×14.4-122.13=425.07
 
Definition 2.4 dp
589.171+0.9÷36×490=601.421
 
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
 
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
 
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
 
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
-133.7+19.2×2-414.7=-510
 
Negatory 3.3 dn
(10.6+5.4)÷(0.637+0.003)=25
 
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
 
Fraction Examples
 
 
Denominator 0.3 fn
2/3-89/3=-29/1
 
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
1/7×56/79=8/79
 
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
 
Limited 0.2 fp
218/9÷(1/2+1/6)=109/3
 
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
 
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
 
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
 
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
 
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
 
 
Doted 0.4 dn
-263.871-336.129 < 196.831+403.169
 
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
 
Descent 0.3 fn
9/13 < 16142/247
 
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
 
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2-3x+10=0
 
 
 
System 2.1 ip
7y×x=280
 
 
Set 0.1 in
2x×y=160
 
 
Set 2.1 in
-20y÷5x=1
 
Set 3.1 in
-10y+10x=0
Language Exercises
 
 
Russian Vocabulary 2.5
ген алогия
 
 
 
 
Lexicon 1.5
comm nicate [give]
 
Lexicon 2.4
mathem tics [maths]
 
Infinitive 1.3
spread spread       [spread]
 
Infinitive 3.2
foresee             [foresee]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-15232÷(-16)=952
 
Logics 1.4 in
243×426=103518
 
Logics 2.4 in
-4000÷80×(-644)=32200
 
Logics 3.4 in
-15×(-160×(-25))=-60000
 
Logics 4.4 in
-932400÷(-225÷(-15))÷(-210)=296
Fraction Examples
 
 
Limited 0.3 fp
336/125×(4099/119+151/119)=96/1
 
Limited 2.3 fp
10/473×(103/4+69/4)=10/11
 
Complete 0.3 fn
-87/4×2588/957+9/11=-58/1
 
Complete 2.3 fn
-20/21×(49/80+11/80)=-5/7
Equations
 
 
Quadratic 0.2 in
98x2-5194x=0
 
 
Quadratic 2.2 in
35x2+2835x=0
 
Quadratic 3.2 in
x2+2x-288=0
 
 
 
System 2.2 ip
2x×5y=100000
 
System 3.2 ip
30x+30y=2490
 
Set 0.2 in
2530x÷80y=115
 
Set 1.2 in
y-x=-100
 
Set 2.2 in
4y×x=20000
 
Set 3.2 in
47x+20y=-1230
Language Exercises
 
 
 
 
Lexicon 2.5
disappr val [censure]
 
Infinitive 2.3
hit             [hit]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
-29x2+580x+609=0
 
Quadratic 1.3 in
40x2=2152960
 
Quadratic 2.3 in
-173x2-71622x=0
 
Quadratic 3.3 in
-x2+121x+1452=0
 
 
System 2.3 ip
30y÷31x=3
 
System 3.3 ip
48y-x=43360
 
Set 0.3 in
-x-y=236
 
Set 1.3 in
-x+y=592
 
Set 2.3 in
-10x×4y=-3149280
 
Set 3.3 in
-495y-243x=304515
Language Exercises
 
 
Infinitive 3.3
            thrust [thrust]

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