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
 
 
Russian Vocabulary 1.1
од ванчик
8+
Recommended for children from eight years
Integer Examples
 
 
 
Beginner 1.4 ip
221+746=967
 
Beginner 2.4 ip
916-26=890
 
Beginner 3.4 ip
665-589=76
 
Beginner 4.3 ip
96-6-20=70
 
Beginner 5.2 ip
20-(20-13)=13
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
1+0 < 44+30
 
Natural 3.1 ip
4×2 > 10÷2
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
10+7+44=61
 
Beginner 4.4 ip
400-284+884=1000
 
Beginner 5.3 ip
86-(84-28)=30
 
 
 
 
 
 
Cognizant 5.1 ip
(2×10)÷4=5
 
Cognizant 6.1 ip
4×(8÷2)÷2=8
 
Remainder 1.1 ip
59÷10=5(9)
 
Column 1.2 ip
4320+5659=9979
 
Column 2.2 ip
4393-1358=3035
 
Column 3.2 ip
9000+1000=10000
 
 
 
Numeracy 1.1 ip
72÷2-16=20
 
Numeracy 2.1 ip
48×2-44÷4=85
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
44÷11=4
 
Division #24
51÷3=17
 
Division #25
30÷3=10
 
 
 
 
Division #29
32÷2=16
 
Division #30
100÷10=10
 
Division #31
60÷6=10
 
Division #32
84÷7=12
 
Division #33
140÷7=20
 
Division #34
104÷8=13
 
Division #35
125÷5=25
 
 
Division #37
114÷6=19
 
Division #38
490÷10=49
 
 
Comparisons
 
 
Natural 0.2 ip
45÷9 < 60÷6
 
 
Natural 2.3 ip
272+136 < 645+205
 
Natural 3.2 ip
50÷5 < 4×13
Equations
 
 
 
 
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
654-11=643
 
Beginner 1.5 ip
82954+225573=308527
 
Beginner 2.5 ip
913968-178803=735165
 
Beginner 3.5 ip
379990+206282=586272
 
Beginner 5.4 ip
420+(590-60)=950
 
Cognizant 0.2 ip
5×(6×10)=300
 
Cognizant 1.3 ip
56×72=4032
 
 
Cognizant 3.3 ip
8408÷8=1051
 
Cognizant 4.2 ip
40×5÷8=25
 
Cognizant 5.2 ip
(69÷3)÷23=1
 
Cognizant 6.2 ip
8×4×(2×10)=640
 
Remainder 1.2 ip
136÷18=7(10)
 
Column 1.3 ip
228155+440000=668155
 
Column 2.3 ip
820119-816514=3605
 
Column 3.3 ip
335048-259942=75106
 
Multiplier 1.2 ip
9047×2=18094
 
Multiplier 1.3 ip
2541×86=218526
 
Divisor 1.2 ip
642÷6=107
 
Numeracy 0.1 ip
64-4×12=16
 
Numeracy 1.2 ip
538+13×18=772
 
Numeracy 2.2 ip
274-46×2÷23=270
 
Numeracy 3.1 ip
(37+23)÷(58-48)=6
 
 
Comparisons
 
 
Natural 0.3 ip
920÷10 < 12×8
 
Natural 1.4 ip
369715 > 191998
 
Natural 2.4 ip
556069-472685 < 282987+529037
 
Natural 3.3 ip
1000÷20 < 813÷3
Equations
 
 
 
Linear 1.3 ip
x+136=763
 
Linear 2.3 ip
864÷x=36
 
Linear 3.2 ip
x÷47+57=59
 
Linear 4.1 ip
9÷(x+1)=3
Rounding
 
 
Round 1.1 ip
256≈26
 
Round 1.2 ip
7036≈70
 
Round 2.1 ip
475+89≈56
Language Exercises
 
 
Russian Vocabulary 2.3
оз рничать
 
 
 
Lexicon 1.2
ph ne [call]
 
Lexicon 2.2
Wedn sday [day of the week]
 
Infinitive 1.1
overrun overran       [overrun]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
452220-(652958-560738)=360000
 
Beginner 4.5 ip
830000-419071+290692=701621
 
Beginner 5.5 ip
414616+(231968+265750)=912334
 
 
Conversant 1.5 in
-170136-29800=-199936
 
 
Cognizant 0.3 ip
9072÷14=648
 
Cognizant 4.3 ip
4680÷78×24=1440
 
Cognizant 5.3 ip
(100×18)÷24=75
 
Cognizant 6.3 ip
51×17×(10÷2)=4335
 
Remainder 1.3 ip
370÷6=61(4)
 
Multiplier 1.4 ip
8118×869=7054542
 
Divisor 1.3 ip
3311÷11=301
 
Numeracy 0.2 ip
(810-270)÷(305-302)=180
 
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
 
Numeracy 1.3 ip
2000-176÷44=1996
 
Numeracy 2.3 ip
250+560÷14+1663=1953
 
Numeracy 3.2 ip
864-(132+24)÷2=786
 
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
 
Divisor_ENG 1.3 ip
5200÷16=325
 
Decimal Examples
 
 
Partitive 0.1 dp
0+(4.7+0.8)=5.5
 
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
 
Partitive 1.1 dp
9.6-2.5=7.1
 
Partitive 1.2 dp
0.9+71.2=72.1
 
Partitive 2.1 dp
2.5+6+0.1=8.6
 
Partitive 2.2 dp
91.9-40-49.9=2
 
Partitive 3.1 dp
2.2+(2+1.3)=5.5
 
Partitive 3.2 dp
31.4+(63.7-39)=56.1
 
Divisional 1.1 dp
5.7÷1.5=3.8
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
97.2÷1.5=64.8
 
 
Fraction Examples
 
 
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
 
 
Natural 0.4 ip
916868 < 966303
 
Natural 3.4 ip
490000÷50 > 544×18
 
 
 
Ceil 2.1 in
-9+2 < -2+3
 
Ceil 3.1 in
8÷4 < 8÷2
 
Point 1.1 dp
32 < 78.2
 
Point 2.1 dp
89.4-60.8 > 76-62.2
 
Improper 1.1 fp
1/10 < 2/3
 
Improper 1.2 fp
347/67 > 4/5
 
Improper 2.1 fp
1/2+1/8 < 5/6-1/6
Equations
 
 
Linear 0.2 ip
(x-70)×8=80
 
Linear 0.3 ip
x×90=630
 
Linear 3.3 ip
670÷x-1=66
 
Linear 4.2 ip
(x+5)×5=30
 
Linear 4.3 ip
(5+x)×148=740
 
 
Lineal 2.1 in
x÷(-7)=-1
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
97+168≈27
 
Round 0.2 ip
304+2279≈26
 
Round 0.3 ip
727×1288≈936
 
Round 1.3 ip
674799≈675
 
Round 2.2 ip
6143-1716≈44
 
Round 2.3 ip
659654+74041≈734
 
Round 3.1 ip
5×25≈13
 
Round 3.2 ip
8394÷3≈28
 
Round 3.3 ip
183×4033≈738
Language Exercises
 
 
Russian Vocabulary 1.4
ор ентация
 
Russian Vocabulary 3.3
 нварский
 
 
 
 
Lexicon 1.3
loca ion [place]
 
Infinitive 2.1
      smote       [smite]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-67-66+100=-33
 
 
Conversant 3.2 in
0-(-2-16)=18
 
Conversant 3.3 in
-7-(38+22)=-67
 
Conversant 4.1 in
(0+7)-(6-0)=1
 
Conversant 4.2 in
-(9-19)-(11+5)=-6
 
Conversant 4.3 in
(30+84)+(64-97)=81
 
Cognizant 0.4 ip
4×2×3125=25000
 
Cognizant 1.4 ip
965×76=73340
 
Cognizant 2.4 ip
618240÷2576=240
 
Cognizant 3.4 ip
930000÷125=7440
 
Cognizant 4.4 ip
71×21×615=916965
 
Cognizant 5.4 ip
(500÷2)×40=10000
 
Cognizant 6.4 ip
66÷2×(740×22)=537240
 
Multiplier 1.5 ip
43000×1131=48633000
 
Divisor 1.4 ip
37200÷10=3720
 
Intellect 0.1 in
24+(-26-15)×3=-99
 
 
Intellect 2.1 in
30-100÷5÷10=28
 
Intellect 3.1 in
(100-10)÷(13-4)=10
 
Logics 0.1 in
22÷(-2)×9=-99
 
 
Logics 2.1 in
4×2×8=64
 
Logics 3.1 in
90÷(45÷(-9))=-18
 
Logics 4.1 in
10×(-3)÷(5×(-2))=3
 
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
 
 
Partitive 0.3 dp
1.18+13.67+21.89=36.74
 
Partitive 1.3 dp
81.69-52.51=29.18
 
Partitive 2.3 dp
67.12+70.42-50=87.54
 
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
 
Split 0.1 dn
-5.2-1.6=-6.8
 
Split 0.2 dn
-1.9+7=5.1
 
Split 1.1 dn
6.3-4.4=1.9
 
Split 1.2 dn
-3-19.1=-22.1
 
Split 2.1 dn
9.3-7.6+7.8=9.5
 
Split 2.2 dn
-20.1-31.7-48.2=-100
 
Split 3.1 dn
0.8+(1-9.7)=-7.9
 
Split 3.2 dn
10+(28-85.7)=-47.7
 
 
Divisional 1.2 dp
1.26÷0.18=7
 
Denary 0.1 dp
4.4×8=35.2
 
Denary 1.2 dp
2.2×1.05=2.31
 
Denary 2.2 dp
43.2÷72=0.6
 
Denary 3.2 dp
8×0.27=2.16
 
Denary 4.1 dp
82.8÷23÷4.5=0.8
 
Denary 5.1 dp
(0.6×4)÷4.8=0.5
 
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
 
Definition 1.1 dp
46.6-2.5×4=36.6
 
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
 
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
 
Negatory 1.1 dn
6×1.8+1.4=12.2
 
Negatory 2.1 dn
-34÷8.5+0.6×30=14
 
 
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
 
 
Numerator 0.1 fp
8/9-1/9-1/3=4/9
 
Numerator 0.2 fp
189/29-182/29=7/29
 
Numerator 1.2 fp
1/11+53/22=5/2
 
Numerator 2.1 fp
7/9-4/9+1/2=5/6
 
Numerator 2.2 fp
99/19-23/19-17/19=59/19
 
Numerator 3.1 fp
4/9-(1/6+1/6)=1/9
 
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
 
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
 
Denominator 1.1 fn
-1/8-3/4=-7/8
 
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
 
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
 
Fragment 1.1 fp
3/2×10/7=15/7
 
Fragment 1.2 fp
92/7÷460/21=3/5
 
Fragment 2.1 fp
14/3×3/2×1/7=1/1
 
Reduction 1.1 fp
126/45=14/5
 
Reduction 1.2 fp
828/24=69/2
 
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
 
 
Ceil 0.2 in
15÷(-5) > -40÷10
 
Ceil 0.3 in
-833+766 < 5+55
 
 
Ceil 1.3 in
-892 < -756
 
Ceil 2.2 in
-45-5 < -40-9
 
Ceil 2.3 in
24+386 < 138+529
 
Ceil 3.2 in
-11×8 < 96÷(-2)
 
Ceil 3.3 in
-9×(-54) < -24×(-21)
 
Point 0.1 dp
38.4 > 1.7
 
Point 0.2 dp
0.92+26.19 < 3.81+80.64
 
Point 1.2 dp
50 > 42.67
 
Point 1.3 dp
44.273 < 99.665
 
Point 1.4 dp
879.642 < 950.264
 
Point 2.2 dp
96.8-25.14 > 66.5-7.5
 
Point 2.3 dp
87.041-0.599 > 0.046+0.028
 
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
 
Point 3.2 dp
28×1.8 > 18.36÷2
 
Doted 0.1 dn
-47.3 < 47.4
 
Doted 0.2 dn
-77.16 < 89
 
Doted 1.1 dn
-89.7 < 35
 
Doted 1.2 dn
87.32 > 87.31
 
Doted 2.1 dn
-49-1 < -31.6+75.9
 
Doted 2.2 dn
-6.8-13.84 > 24.28-78.3
 
Doted 3.1 dn
-4×(-0.8) > 90.6÷(-3)
 
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
 
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
 
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
 
Improper 1.3 fp
36889/440 > 563/7
 
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
 
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
 
Improper 3.1 fp
2/3×1/2 < 2/9÷1/3
 
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
 
Descent 1.1 fn
-2/7 < 2/7
 
Descent 1.2 fn
12/13 > 1/2
 
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
Lineal 0.2 in
-15×(-x)=60
 
 
Lineal 1.3 in
-x-793=-463
 
 
Lineal 2.3 in
28×(-x)=-868
 
Lineal 3.1 in
10÷x+8=9
 
Lineal 3.2 in
-1+x×8=-1
 
Lineal 4.1 in
-(-5-x)×2=-10
 
Lineal 4.2 in
20×(78+x)=0
Rounding
 
 
Rounding 0.1 dp
10.4×3≈31
 
Rounding 0.2 dp
19.91÷5≈4
 
Rounding 1.2 dp
58.34≈58.3
 
Rounding 1.3 dp
17.177≈17.18
 
Rounding 2.2 dp
37.17+22.84≈60
 
Rounding 2.3 dp
13.293+4.325≈17.62
 
Rounding 3.1 dp
25×1.4≈35
 
Rounding 3.2 dp
98.2÷25.56≈3.8
Language Exercises
 
 
 
 
Lexicon 2.3
some ne [person]
 
Infinitive 1.2
let let       [let]
 
Infinitive 3.1
see             [see]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
617+(-943+646)=320
 
Conversant 0.5 in
-838313+779082=-59231
 
 
Conversant 2.4 in
310-770+758=298
 
Conversant 2.5 in
-453879-161703+35582=-580000
 
Conversant 3.4 in
-511-(510-659)=-362
 
Conversant 3.5 in
583000-(856644-390000)=116356
 
Conversant 4.4 in
-(695-404)+(581-440)=-150
 
Conversant 4.5 in
(228929-350682)+(340000+432050)=650297
 
Divisor 1.5 ip
2626293÷373=7041
 
Intellect 0.2 in
(730-880)÷(-6-9)=10
 
Intellect 1.2 in
655-4×403=-957
 
Intellect 2.2 in
700+10×4×2=780
 
Intellect 3.2 in
(976-64)÷(104-96)=114
 
Logics 0.2 in
760÷40=19
 
Logics 1.2 in
-10×(-20)=200
 
Logics 2.2 in
-36×(-2)×9=648
 
Logics 3.2 in
-700÷(2×25)=-14
 
Logics 4.2 in
-720÷(-36÷3)÷15=4
 
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
 
 
 
Partitive 1.4 dp
258.189+361.811=620
 
Partitive 2.4 dp
399.054-63.768+347.714=683
 
Partitive 3.4 dp
225.89-(73-37.89)=190.78
 
Split 0.3 dn
-40+43.29=3.29
 
Split 0.4 dn
370.1-(-19.537+570)=-180.363
 
Split 1.3 dn
-34.48-40.27=-74.75
 
Split 1.4 dn
581.172-141.613=439.559
 
Split 2.3 dn
84.22-90-39.26=-45.04
 
Split 2.4 dn
-71.286+418.958-603.672=-256
 
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
 
Split 3.4 dn
-103.502+(-187.812+303.314)=12
 
Residual 1.2 dp
73÷25=2.92
 
Divisional 1.3 dp
0.013÷0.04=0.325
 
Denary 0.2 dp
7.2÷15=0.48
 
Denary 0.3 dp
70.56÷49=1.44
 
Denary 1.3 dp
2.5×5.904=14.76
 
Denary 2.3 dp
50.388÷4=12.597
 
Denary 3.3 dp
79.596÷4.752=16.75
 
Denary 4.2 dp
0.8×0.5×24.3=9.72
 
Denary 4.3 dp
66×0.176÷0.704=16.5
 
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
 
Denary 5.3 dp
(35.858÷17.929)×0.002=0.004
 
Definition 0.2 dp
79.23-31.25×0.64=59.23
 
Definition 1.2 dp
36.48÷3-5.06=7.1
 
Definition 1.3 dp
39.788-4.68÷2.08=37.538
 
Definition 2.2 dp
5.6×0.5-1.2÷1.5=2
 
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
 
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
 
Negatory 0.1 dn
11+28.5×1.2+2.8=48
 
Negatory 0.2 dn
-21.28+41.6÷1.25=12
 
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
 
Negatory 1.3 dn
38.042+0.54×52=66.122
 
Negatory 2.2 dn
100-10÷2.5-79=17
 
Negatory 2.3 dn
20+10×0.033+41.27=61.6
 
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
 
Negatory 3.2 dn
1.32÷(29.16-33.16)×14=-4.62
 
 
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
 
 
Numerator 0.3 fp
7531/86+401/86=3966/43
 
Numerator 1.3 fp
2437/95+1108/95=709/19
 
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
 
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
 
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
 
Denominator 1.2 fn
14/5-143/60=5/12
 
Denominator 1.3 fn
-380/13+770/13=30/1
 
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
 
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
 
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
 
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
 
Fragment 1.3 fp
49/96×2586/49=431/16
 
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
 
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
 
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
 
Fragment 3.2 fp
189/40÷(21/13÷7/39)=21/40
 
Reduction 1.3 fp
57920/880=724/11
 
Limited 0.1 fp
5/4+1/3÷2/9=11/4
 
Limited 1.2 fp
8/9÷1/41-67/9=29/1
 
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
 
Complete 0.1 fn
5/2÷15/8+8/9=20/9
 
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
 
Complete 1.2 fn
1037/35+3/4×308/15=1576/35
 
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
 
 
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
 
Ceil 1.4 in
98995 > -943987
 
Ceil 2.4 in
-910920+128402 < -370576+776268
 
Ceil 3.4 in
-2×8 > 168000÷(-4)
 
Point 0.3 dp
80.032 > 9.426
 
Point 0.4 dp
7.28×7.5 < 1.875×240
 
Point 2.4 dp
280.564+165.62 = 730-283.816
 
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
 
Point 3.4 dp
3.36×6.75 < 102.4×3.125
 
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
 
Doted 1.3 dn
-46.331 < 52
 
Doted 1.4 dn
707 > 650
 
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
 
Doted 2.4 dn
-608.343+941.567 < 43+534.115
 
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
 
Improper 0.3 fp
544/891+55534/891 > 725/18-2777/126
 
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
 
Descent 0.1 fn
-1/3÷(-3/5) > -2/5×(-1/2)
 
Descent 0.2 fn
-5/1 < -7/8
 
Descent 1.3 fn
53437/604 > -13406/151
 
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
 
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
 
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
 
 
Lineal 0.3 in
32×(-x)=960
 
Lineal 3.3 in
-555+29×x=460
 
Lineal 4.3 in
99×(-x+7)=396
 
Rounding
 
 
Rounding 0.3 dp
2.193×30.124≈66.06
 
Rounding 3.3 dp
0.709×40.284≈28.56
Language Exercises
 
 
Russian Vocabulary 1.5
наскво ь
 
Russian Vocabulary 3.4
с туация
 
 
 
Lexicon 1.4
basi  [main]
 
Infinitive 2.2
shoe             [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-6712-(92+1333)×53=-82237
 
Intellect 1.3 in
140+2304÷24=236
 
Intellect 2.3 in
-4070+51842÷23÷49=-4024
 
Intellect 3.3 in
1694+(2103-977)×50=57994
 
Logics 0.3 in
-3432÷(33÷3)=-312
 
Logics 1.3 in
572÷(-4)=-143
 
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
 
Logics 3.3 in
1260÷(5×(-7))=-36
 
Logics 4.3 in
3672÷(-2)÷(-17×(-4))=-27
Decimal Examples
 
 
Residual 1.3 dp
7÷56=0.125
 
Denary 0.4 dp
9.576×2.5×0.85=20.349
 
Denary 1.4 dp
27.625×32=884
 
Denary 2.4 dp
7.176÷2.4=2.99
 
Denary 3.4 dp
0.6×0.06=0.036
 
Denary 4.4 dp
237.6×2÷600=0.792
 
Denary 5.4 dp
(4×0.011)÷2=0.022
 
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
 
Definition 0.4 dp
(208.3-205.175)×(96.287+36.769)=415.8
 
Definition 1.4 dp
867.991-24÷15.625=866.455
 
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
 
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
 
Definition 3.4 dp
800.436-(39.298+325.202)÷7.29=750.436
 
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
 
Negatory 0.4 dn
-876.24-(1.227+11.773)×9.52=-1000
 
Negatory 1.4 dn
2.7×17.55-15.385=32
 
Negatory 2.4 dn
475.958+720÷11.25÷51.2=477.208
 
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
 
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
 
Fraction Examples
 
 
Denominator 0.3 fn
-23984/369-(-28/41-23486/369)=-2/3
 
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
 
Denominator 3.3 fn
55/19-(995/133+5375/133)=-45/1
 
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
 
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
 
Limited 0.2 fp
(1/2+2/3)×116/3=406/9
 
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
 
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
 
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
 
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
 
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
 
 
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
 
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
 
Descent 0.3 fn
-1110/47÷(-3774/109) < -75/1×(-1063/825)
 
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
 
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
 
 
 
 
 
 
 
 
 
System 3.1 ip
10y+2x=88
 
Set 0.1 in
3y+6x=-30
 
 
Set 2.1 in
-20y÷5x=1
 
Set 3.1 in
-5y+5x=0
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
circ mstance [fact]
 
Lexicon 2.4
fort eth [count]
 
Infinitive 1.3
withdraw withdrew       [withdraw]
 
Infinitive 3.2
beseech             [beseech]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
7992÷(-296)×490=-13230
 
Logics 1.4 in
-3960÷88=-45
 
Logics 2.4 in
-10000÷(-20)÷10=50
 
Logics 3.4 in
-25×(128×(-250))=800000
 
Logics 4.4 in
21×(-9120÷(-228))×(-316)=-265440
Fraction Examples
 
 
Limited 0.3 fp
8/19÷16/855+12935/466=11710/233
 
Limited 2.3 fp
159/11÷(5/7-3/7)=1113/22
 
Complete 0.3 fn
295/182×(3/5-283/5)=-1180/13
 
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
-29x2+1740x=0
 
Quadratic 3.2 in
x2+95x+450=0
 
System 0.2 ip
6x×5y=65610
 
 
System 2.2 ip
y×9x=45000
 
System 3.2 ip
40y+63x=7137
 
Set 0.2 in
-x-y=79
 
Set 1.2 in
y+x=179
 
Set 2.2 in
-4x×15y=-53760
 
Set 3.2 in
-33x-5y=-2830
Language Exercises
 
 
 
 
Lexicon 2.5
s bstitute [replacement]
 
Infinitive 2.3
beset             [beset]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
977x2+306778x=0
 
Quadratic 1.3 in
14x2=201600
 
Quadratic 2.3 in
-370x2-335590x=0
 
Quadratic 3.3 in
3x2+288x+6045=0
 
System 0.3 ip
40y-40x=24440
 
System 2.3 ip
72000y÷20x=9000
 
System 3.3 ip
150x+131y=145362
 
Set 0.3 in
-x-y=236
 
Set 1.3 in
-y-x=-72
 
Set 2.3 in
-792x÷33y=-842
 
Set 3.3 in
821y+122x=-644484
Language Exercises
 
 
Infinitive 3.3
            sightread [sight-read]

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