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
 
Beginner 5.1 ip
4+(10-4)=10
Step-by-step Tasks
 
Comparisons
 
 
 
Language Exercises
 
8+
Recommended for children from eight years
Integer Examples
 
 
 
Beginner 1.4 ip
18+405=423
 
Beginner 2.4 ip
694-274=420
 
Beginner 3.4 ip
999-879=120
 
Beginner 4.3 ip
100-40+27=87
 
Beginner 5.2 ip
4+(14-8)=10
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
50-35 < 10+55
 
Natural 3.1 ip
4×2 > 10÷2
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
65-(24+8)=33
 
Beginner 4.4 ip
220+448-18=650
 
Beginner 5.3 ip
76-(70-43)=49
 
Cognizant 0.1 ip
(10÷5)×3=6
 
 
 
 
 
Cognizant 5.1 ip
(4×20)÷2=40
 
Cognizant 6.1 ip
4×(8÷2)÷2=8
 
 
Column 1.2 ip
1177+7228=8405
 
Column 2.2 ip
4576-1776=2800
 
Column 3.2 ip
5643-4996=647
 
 
 
Numeracy 1.1 ip
47+9÷3=50
 
Numeracy 2.1 ip
26-60÷2÷15=24
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
99÷11=9
 
 
Division #25
26÷2=13
 
Division #26
56÷4=14
 
Division #27
85÷5=17
 
Division #28
40÷2=20
 
Division #29
48÷4=12
 
Division #30
60÷30=2
 
 
Division #32
119÷7=17
 
 
Division #34
160÷8=20
 
Division #35
125÷5=25
 
 
 
Division #38
480÷10=48
 
 
Comparisons
 
 
 
 
Natural 2.3 ip
400+529 > 860-406
 
Natural 3.2 ip
36÷2 < 12×2
Equations
 
 
 
 
Linear 3.1 ip
2-10÷x=1
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
764-108=656
 
Beginner 1.5 ip
3894+6106=10000
 
Beginner 2.5 ip
370000-254998=115002
 
Beginner 3.5 ip
168275+157510=325785
 
Beginner 5.4 ip
572-(380+92)=100
 
 
Cognizant 1.3 ip
35×100=3500
 
Cognizant 2.3 ip
2400÷80=30
 
Cognizant 3.3 ip
8408÷8=1051
 
Cognizant 4.2 ip
648÷6÷12=9
 
Cognizant 5.2 ip
(120÷2)÷3=20
 
Cognizant 6.2 ip
810÷(3×3)÷10=9
 
 
Column 1.3 ip
418936+132000=550936
 
Column 2.3 ip
777171-280000=497171
 
Column 3.3 ip
794288-639670=154618
 
Multiplier 1.2 ip
8264×3=24792
 
Multiplier 1.3 ip
9469×40=378760
 
Divisor 1.2 ip
938÷2=469
 
Numeracy 0.1 ip
45+(15+3)÷18=46
 
Numeracy 1.2 ip
687-6×102=75
 
Numeracy 2.2 ip
30×13-420÷7=330
 
Numeracy 3.1 ip
(29-26)×(10+6)=48
 
 
Remainder_ENG 1.2 ip
284÷16=17(12)
Comparisons
 
 
Natural 0.3 ip
608÷8 > 470÷10
 
Natural 1.4 ip
920151 > 560411
 
Natural 2.4 ip
149195+302809 < 638509+30086
 
Natural 3.3 ip
1000÷20 < 813÷3
Equations
 
 
 
 
 
Linear 3.2 ip
9+2×x=93
 
Linear 4.1 ip
(x+1)×3=6
Rounding
 
 
Round 1.1 ip
372≈37
 
 
Round 2.1 ip
810+92≈90
Language Exercises
 
 
Russian Vocabulary 2.3
сост заться
 
 
 
Lexicon 1.2
t mato [love apple]
 
Lexicon 2.2
wid  [broad]
 
Infinitive 1.1
relight       relit [relight]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
854257-584457=269800
 
Beginner 4.5 ip
170000+63167+23111=256278
 
Beginner 5.5 ip
164557+(680688-405731)=439514
 
 
Conversant 1.5 in
880000-442636=437364
 
 
 
Cognizant 4.3 ip
40×200÷80=100
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
6912÷3÷(8×8)=36
 
Remainder 1.3 ip
867÷75=11(42)
 
Multiplier 1.4 ip
2250×908=2043000
 
Divisor 1.3 ip
7479÷27=277
 
Numeracy 0.2 ip
510÷15+223=257
 
Numeracy 0.3 ip
5200-13×68+2634=6950
 
Numeracy 1.3 ip
712×83+365=59461
 
Numeracy 2.3 ip
250+560÷14+1663=1953
 
Numeracy 3.2 ip
493-(710-658)×3=337
 
Numeracy 3.3 ip
52+(50+54)×12=1300
 
Divisor_ENG 1.3 ip
8897÷31=287
 
Decimal Examples
 
 
Partitive 0.1 dp
0+(4.7+0.8)=5.5
 
Partitive 0.2 dp
33.6+13+53.4=100
 
Partitive 1.1 dp
2.4+3.7=6.1
 
Partitive 1.2 dp
72.4-24.6=47.8
 
Partitive 2.1 dp
5.3+6.1-6=5.4
 
Partitive 2.2 dp
99-34-49=16
 
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
 
Partitive 3.2 dp
67-(60-44)=51
 
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
96÷1.5=64
 
Denary 3.1 dp
6.6×5=33
 
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
 
 
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
 
 
Natural 0.4 ip
212400÷59 < 697527÷51
 
Natural 3.4 ip
6×13824 > 711610÷10
 
 
 
Ceil 2.1 in
7-10 < -2-0
 
Ceil 3.1 in
2×(-5) < 4×(-2)
 
Point 1.1 dp
83.3 > 59.9
 
Point 2.1 dp
89.4-60.8 > 76-62.2
 
 
Improper 1.2 fp
347/67 > 4/5
 
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
 
 
 
Linear 0.3 ip
x+753=903
 
Linear 3.3 ip
85+x×83=915
 
Linear 4.2 ip
13×(84-x)=52
 
Linear 4.3 ip
(x-12)×189=378
 
 
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
97+168≈27
 
Round 0.2 ip
8118-2053≈61
 
Round 0.3 ip
959576÷472≈2
 
Round 1.3 ip
142664≈143
 
Round 2.2 ip
9000-7575≈14
 
Round 2.3 ip
388504+12707≈401
 
Round 3.1 ip
832÷2≈42
 
Round 3.2 ip
1158÷2≈6
 
Round 3.3 ip
153290×5≈766
Language Exercises
 
 
Russian Vocabulary 1.4
вер вание
 
Russian Vocabulary 3.3
сост заться
 
 
 
 
Lexicon 1.3
fo rteenth [count]
 
Infinitive 2.1
mislay             [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-6-(17-3)=-20
 
Conversant 0.3 in
(41-7)-(19-40)=55
 
 
 
 
 
 
Conversant 3.2 in
-1+(11-18)=-8
 
Conversant 3.3 in
-66-(0-18)=-48
 
Conversant 4.1 in
(10+5)+(1-9)=7
 
Conversant 4.2 in
-(13+10)+(17-1)=-7
 
Conversant 4.3 in
-(7+20)-(2-68)=39
 
Cognizant 0.4 ip
20÷2×(78÷13)=60
 
Cognizant 1.4 ip
338×104=35152
 
 
Cognizant 3.4 ip
430×220=94600
 
Cognizant 4.4 ip
222000÷5÷6=7400
 
Cognizant 5.4 ip
340032÷(28×3)=4048
 
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
 
Multiplier 1.5 ip
4130×4059=16763670
 
Divisor 1.4 ip
11473÷11=1043
 
Intellect 0.1 in
14+90÷3÷3=24
 
Intellect 1.1 in
-32-2×19=-70
 
Intellect 2.1 in
28-69÷23-95=-70
 
Intellect 3.1 in
-60+20÷(17-15)=-50
 
Logics 0.1 in
22÷(-2)×9=-99
 
Logics 1.1 in
-50÷5=-10
 
Logics 2.1 in
3×(-2)×4=-24
 
Logics 3.1 in
(60÷4)×(-2)=-30
 
Logics 4.1 in
-5×(6÷3)×9=-90
 
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
 
 
Partitive 0.3 dp
44.53+(53.84-45)=53.37
 
Partitive 1.3 dp
1.07+25=26.07
 
Partitive 2.3 dp
45.25-32.09+80=93.16
 
Partitive 3.3 dp
81-(59.17-50.16)=71.99
 
Split 0.1 dn
-7.5+0.5=-7
 
Split 0.2 dn
-65.5-19.4=-84.9
 
Split 1.1 dn
1.4+3.9=5.3
 
Split 1.2 dn
16.7+5=21.7
 
Split 2.1 dn
0.6-4.8+5.1=0.9
 
Split 2.2 dn
-45.3-30-10=-85.3
 
Split 3.1 dn
-3.7-(6.9-8.6)=-2
 
Split 3.2 dn
18+(-31.6+50.5)=36.9
 
 
 
Denary 0.1 dp
0.9×6=5.4
 
Denary 1.2 dp
82×0.01=0.82
 
Denary 2.2 dp
1.44÷7.2=0.2
 
Denary 3.2 dp
0.5×0.52=0.26
 
Denary 4.1 dp
0.8÷8×74=7.4
 
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
 
Definition 0.1 dp
30.4-4÷0.5=22.4
 
Definition 1.1 dp
1÷0.5+59.3=61.3
 
Definition 2.1 dp
17.6÷4+4×1.7=11.2
 
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
 
Negatory 1.1 dn
15÷1.5+50=60
 
Negatory 2.1 dn
91-3×9.6-34.2=28
 
 
Fraction Examples
 
 
Numerator 0.1 fp
5/8+1/4=7/8
 
Numerator 0.2 fp
6/23+2/23+436/69=20/3
 
Numerator 1.2 fp
28/5-64/15=4/3
 
Numerator 2.1 fp
3/5+1/5+1/10=9/10
 
Numerator 2.2 fp
1/2+1/8+7/24=11/12
 
Numerator 3.1 fp
1/5+(4/5-2/7)=5/7
 
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
 
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
 
Denominator 1.1 fn
-3/10-1/2=-4/5
 
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
 
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
 
Fragment 1.1 fp
42/5÷21/5=2/1
 
Fragment 1.2 fp
23/5×154/23=154/5
 
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
 
 
Reduction 1.2 fp
1554/77=222/11
 
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
 
 
Ceil 0.2 in
82 > -20
 
Ceil 0.3 in
881 > 763
 
Ceil 1.2 in
-69 = -69
 
Ceil 1.3 in
780 > 440
 
Ceil 2.2 in
-37-2 < 39-37
 
Ceil 2.3 in
-726+210 < 848-597
 
Ceil 3.2 in
-95÷(-5) > -100÷2
 
Ceil 3.3 in
892÷(-4) < 369÷(-3)
 
Point 0.1 dp
12.5×7.2 > 13×6.4
 
Point 0.2 dp
56.88-4.25 < 1.7+50.94
 
Point 1.2 dp
81 > 80.07
 
Point 1.3 dp
83.811 < 83.827
 
Point 1.4 dp
685.07 > 400
 
Point 2.2 dp
5.76+0.27 < 45-15
 
Point 2.3 dp
4.1+74.517 > 6.283+11.717
 
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
 
Point 3.2 dp
3.75×16 = 35.4÷0.59
 
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
 
Doted 0.2 dn
-2.75×1.12 > 77.81÷(-2.51)
 
Doted 1.1 dn
-66.5 < 30.1
 
Doted 1.2 dn
-35.62 < -35.59
 
Doted 2.1 dn
35.1-5 < 15.9+46.8
 
Doted 2.2 dn
31.05+17.91 > 46.26-35.06
 
Doted 3.1 dn
6.4×13.5 > 6×12.8
 
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
 
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
 
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
 
Improper 1.3 fp
14/1 < 85/1
 
Improper 2.2 fp
11/62+3/62 < 21/5-127/35
 
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
 
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
 
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
 
Descent 1.1 fn
-3/4 < 1/5
 
Descent 1.2 fn
-17/2 > -9/1
 
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
Lineal 0.2 in
-15×(-x)=60
 
 
Lineal 1.3 in
x-914=-255
 
Lineal 2.2 in
-x÷(-5)=-5
 
Lineal 2.3 in
-x×(-2)=-700
 
Lineal 3.1 in
-3-x÷5=-5
 
Lineal 3.2 in
67-70÷x=62
 
Lineal 4.1 in
-4÷(-10-x)=2
 
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
 
 
Rounding 0.1 dp
15.7+14.2≈30
 
Rounding 0.2 dp
30.97≈31
 
Rounding 1.2 dp
17.03≈17
 
Rounding 1.3 dp
24.999≈25
 
Rounding 2.2 dp
95.55-21.82≈73.7
 
Rounding 2.3 dp
15.449+57.622≈73.07
 
Rounding 3.1 dp
6.3×2.9≈18
 
Rounding 3.2 dp
69.53×1.12≈77.9
Language Exercises
 
 
Russian Vocabulary 2.4
инц дент
 
 
Lexicon 2.3
ste p [abrupt]
 
Infinitive 1.2
leap       leapt [leap]
 
Infinitive 3.1
feed             [feed]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-648+838=190
 
Conversant 0.5 in
629575-632768=-3193
 
Conversant 1.4 in
151-465=-314
 
Conversant 2.4 in
310-770+758=298
 
Conversant 2.5 in
-987259+785779-38520=-240000
 
Conversant 3.4 in
760-(-61+971)=-150
 
Conversant 3.5 in
583000-(856644-390000)=116356
 
Conversant 4.4 in
(0-479)+(929-218)=232
 
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
 
Divisor 1.5 ip
19600÷196=100
 
Intellect 0.2 in
-593-384÷(2+2)=-689
 
Intellect 1.2 in
-270-20×3=-330
 
Intellect 2.2 in
700+10×4×2=780
 
Intellect 3.2 in
(-60-75)÷(15+12)=-5
 
Logics 0.2 in
-17×25=-425
 
Logics 1.2 in
24÷(-3)=-8
 
Logics 2.2 in
-2×(-250)÷(-25)=-20
 
Logics 3.2 in
(-770÷2)÷5=-77
 
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
 
Divisor_ENG 1.5 ip
6106903÷473=12911
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
509.214-310.291+180.124=379.047
 
Partitive 3.4 dp
348.323-(285-96.143)=159.466
 
Split 0.3 dn
-54.65-5.27-17.34=-77.26
 
Split 0.4 dn
119.87-341.97+409.266=187.166
 
Split 1.3 dn
-70+33.94=-36.06
 
Split 1.4 dn
-112.271+452.92=340.649
 
Split 2.3 dn
-36.27+86.24-95.42=-45.45
 
Split 2.4 dn
23.835-253.278+394.52=165.077
 
Split 3.3 dn
-40+(-3.06-48.82)=-91.88
 
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
 
Residual 1.2 dp
30÷25=1.2
 
Divisional 1.3 dp
0.252÷0.01=25.2
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
12.1÷100=0.121
 
Denary 1.3 dp
3.75×0.032=0.12
 
Denary 2.3 dp
2.124÷2.4=0.885
 
Denary 3.3 dp
3.432÷1.716=2
 
Denary 4.2 dp
1.2÷40×70=2.1
 
Denary 4.3 dp
2.34÷4.5×18=9.36
 
Denary 5.2 dp
47.88÷(63.84÷3)=2.25
 
Denary 5.3 dp
(0.8÷0.016)÷5=10
 
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
 
Definition 1.2 dp
20.09+21.6÷4.8=24.59
 
Definition 1.3 dp
65.713+3.519×4=79.789
 
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
 
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
 
Definition 3.2 dp
54.54+47.52÷(96.72-1.68)=55.04
 
Negatory 0.1 dn
1.2×32-73.5=-35.1
 
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
 
Negatory 1.2 dn
30.4-8.16÷0.4=10
 
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
 
Negatory 2.2 dn
-31.6-5.52×12÷1.84=-67.6
 
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
 
Negatory 3.1 dn
21.4-(15+1)÷2.5=15
 
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
 
 
Fraction Examples
 
 
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
 
Numerator 1.3 fp
127/9+89/9=24/1
 
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
 
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
 
Denominator 0.2 fn
4/3-17/2+2/3=-13/2
 
Denominator 1.2 fn
1/2+7/10=6/5
 
Denominator 1.3 fn
-2551/498+134/3=19693/498
 
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
 
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
 
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
 
Fragment 0.2 fp
119/11÷1547/33=3/13
 
Fragment 1.3 fp
350/39÷224/13=25/48
 
Fragment 2.2 fp
2/3×69/5÷92/5=1/2
 
Fragment 2.3 fp
1/2×260/3÷130/27=9/1
 
Fragment 3.1 fp
(1/2÷3/2)÷3/8=8/9
 
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
 
Reduction 1.3 fp
2024/46=44/1
 
Limited 0.1 fp
5/4+1/3÷2/9=11/4
 
Limited 1.2 fp
1/26+3/13×1/2=2/13
 
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
 
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
 
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
 
Complete 1.2 fn
7/8×496/21+83/20=1489/60
 
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
 
 
Ceil 0.4 in
89146 < 172997
 
Ceil 1.4 in
-267915 > -603354
 
Ceil 2.4 in
-155769-529973 < 78000+610140
 
Ceil 3.4 in
600442÷(-2) < 160912÷2
 
Point 0.3 dp
80.032 > 9.426
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
221.193-208.918 < 650-169.011
 
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
 
Point 3.4 dp
50.6×0.75 < 33.12×1.25
 
Doted 0.3 dn
5.32×(-15) < 64.064÷16
 
Doted 1.3 dn
9.453 > -26.863
 
Doted 1.4 dn
-370.644 < 939.731
 
Doted 2.3 dn
-26.235+81.349 > 37.149-92.266
 
Doted 2.4 dn
393.182-363.682 < 374.829-345.326
 
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
 
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
 
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
 
Descent 0.1 fn
-3/4+1/1 > -1/3-2/3
 
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
 
Descent 1.3 fn
-527/581 < 55091/747
 
Descent 2.2 fn
9/1-12/5 < 22/13+194/39
 
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
 
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
 
 
Lineal 0.3 in
-x+940=350
 
Lineal 3.3 in
x×29+942=-798
 
Lineal 4.3 in
(-x-220)×32=320
 
Rounding
 
 
Rounding 0.3 dp
67.76÷29.683≈2.28
 
Rounding 3.3 dp
1.105×49.255≈54.43
Language Exercises
 
 
 
Russian Vocabulary 3.4
на зусть
 
 
 
Lexicon 1.4
campai n [crusade]
 
Infinitive 2.2
            rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-5067-264÷88=-5070
 
Intellect 1.3 in
-7015-1656÷24=-7084
 
Intellect 2.3 in
5300-4692×45÷15=-8776
 
Intellect 3.3 in
7258-35÷(30+5)=7257
 
Logics 0.3 in
-10×(-726÷11)÷(-60)=-11
 
Logics 1.3 in
-2500÷10=-250
 
Logics 2.3 in
-4×(-23)×(-65)=-5980
 
Logics 3.3 in
(-20×(-25))÷2=250
 
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
 
 
Residual 1.3 dp
7÷56=0.125
 
Denary 0.4 dp
47.52×0.2=9.504
 
Denary 1.4 dp
2.75×0.004=0.011
 
Denary 2.4 dp
285.12÷10.56=27
 
Denary 3.4 dp
0.5×0.034=0.017
 
Denary 4.4 dp
1.28×250×0.125=40
 
Denary 5.4 dp
(143.208÷3.4)÷405=0.104
 
Definition 0.3 dp
29.325×1.28-1.024=36.512
 
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
 
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
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
-87.084+16.416÷72÷5.7=-87.044
 
Negatory 0.4 dn
-185.6÷0.8+2.592÷0.006=200
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
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
400.516-(-185.856-102.144)÷51.2=406.141
 
Fraction Examples
 
 
Denominator 0.3 fn
-2323/312-3205/312=-691/39
 
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
 
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
 
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
 
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
 
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
 
Limited 1.3 fp
152/3-12/13×133/18=570/13
 
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
 
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
 
Complete 1.3 fn
22/119×56/11+273/17=17/1
 
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
 
 
Doted 0.4 dn
-315.402 < 998.655
 
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
 
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
 
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
 
Descent 3.3 fn
-53/72×(-8307/106) > -61/3×(-93/122)
Equations
 
 
 
 
 
 
 
 
System 2.1 ip
10x×2y=100
 
 
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
bl me [condemn]
 
Lexicon 2.4
contrib te [promote]
 
Infinitive 1.3
win won       [win]
 
Infinitive 3.2
feel             [feel]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
7992÷(-296)×490=-13230
 
Logics 1.4 in
209952÷(-162)=-1296
 
Logics 2.4 in
-230400÷96÷(-75)=32
 
Logics 3.4 in
-22800÷(-240÷12)=1140
 
Logics 4.4 in
364800÷(-20)÷(12×(-40))=38
Fraction Examples
 
 
Limited 0.3 fp
1/3÷19/39-77/304=131/304
 
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
 
Complete 0.3 fn
-5733/400÷(-269/17-3565/68)=21/100
 
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
 
 
Quadratic 0.2 in
-24x2+48x=0
 
 
Quadratic 2.2 in
35x2+2835x=0
 
Quadratic 3.2 in
x2-56x+559=0
 
 
 
System 2.2 ip
y×14x=43904
 
System 3.2 ip
54y-19x=3210
 
Set 0.2 in
-90y+36x=-7560
 
 
Set 2.2 in
4x×16y=-24064
 
Set 3.2 in
8y+12x=1640
Language Exercises
 
 
Russian Vocabulary 3.5
перп ндикуляр
 
 
Lexicon 2.5
del berate [ponder]
 
Infinitive 2.3
thrust             [thrust]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
180x2=648000
 
Quadratic 1.3 in
14x2=201600
 
Quadratic 2.3 in
106x2+52788x=0
 
Quadratic 3.3 in
5x2+1000x+4875=0
 
System 0.3 ip
125y+98x=172033
 
System 2.3 ip
32x×11y=5896000
 
System 3.3 ip
88x+92y=165040
 
Set 0.3 in
9y×6x=7272180
 
Set 1.3 in
-y+x=53
 
Set 2.3 in
-10x×4y=-3149280
 
Set 3.3 in
-495y-243x=304515
Language Exercises
 
 
Infinitive 3.3
outsell             [outsell]

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