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
 
8+
Recommended for children from eight years
Integer Examples
 
 
Beginner 0.2 ip
9-(17-9)=1
 
Beginner 1.4 ip
233+69=302
 
Beginner 2.4 ip
810-176=634
 
 
 
Beginner 5.2 ip
1+(3+13)=17
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.1 ip
4×1 < 2×5
 
 
Natural 2.2 ip
70-30 < 87-30
 
Natural 3.1 ip
8÷2 < 7÷1
Equations
 
Language Exercises
 
 
Russian Vocabulary 1.2
н уклюжий
 
 
 
 
 
Lexicon 1.1
ag in [anew]
 
Lexicon 2.1
a nt [relative]
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
123-115+222=230
 
Beginner 5.3 ip
98+(88-86)=100
 
 
 
 
 
 
Cognizant 5.1 ip
(21÷7)×3=9
 
Cognizant 6.1 ip
24÷(4÷2)÷4=3
 
 
Column 1.2 ip
8129+385=8514
 
Column 2.2 ip
6531-2831=3700
 
Column 3.2 ip
4900+1028=5928
 
 
 
 
Numeracy 2.1 ip
42-40÷20+36=76
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.2 ip
3×3 < 72÷3
 
 
Natural 2.3 ip
800-401 < 190+410
 
Natural 3.2 ip
12×6 > 54÷3
Equations
 
 
 
 
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
764-(85+224)=455
 
Beginner 1.5 ip
56900+28668=85568
 
Beginner 2.5 ip
950543-250543=700000
 
Beginner 3.5 ip
597246-57246=540000
 
Beginner 5.4 ip
431-(247-156)=340
 
 
 
Cognizant 2.3 ip
9800÷8=1225
 
Cognizant 3.3 ip
7197÷3=2399
 
 
Cognizant 5.2 ip
120÷(4×2)=15
 
Cognizant 6.2 ip
17×(39÷3)÷221=1
 
Remainder 1.2 ip
136÷7=19(3)
 
Column 1.3 ip
489918+312082=802000
 
Column 2.3 ip
820119-816514=3605
 
Column 3.3 ip
796529+201471=998000
 
Multiplier 1.2 ip
8264×3=24792
 
Multiplier 1.3 ip
1900×26=49400
 
 
Numeracy 0.1 ip
(41-37)×(10+5)=60
 
Numeracy 1.2 ip
968-6×130=188
 
Numeracy 2.2 ip
336÷24+576÷36=30
 
Numeracy 3.1 ip
(13-7)×(21-15)=36
 
 
Comparisons
 
 
 
Natural 1.4 ip
201882 < 931350
 
Natural 2.4 ip
895326+79974 > 602031-124272
 
Natural 3.3 ip
1000÷20 < 813÷3
Equations
 
 
 
Linear 1.3 ip
x+136=763
 
Linear 2.3 ip
41×x=410
 
Linear 3.2 ip
x+40=90
 
Linear 4.1 ip
(x+1)×3=6
Rounding
 
 
Round 1.1 ip
155≈16
 
Round 1.2 ip
6039≈60
 
Round 2.1 ip
826-689≈14
Language Exercises
 
 
 
 
 
Lexicon 1.2
ph ne [call]
 
Lexicon 2.2
m in [chief]
 
Infinitive 1.1
relight relit       [relight]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
612415-407415=205000
 
Beginner 4.5 ip
160216+61763-190025=31954
 
Beginner 5.5 ip
77568+(248800+351933)=678301
 
 
Conversant 1.5 in
-718439+495963=-222476
 
 
Cognizant 0.3 ip
880÷(11×2)×15=600
 
Cognizant 4.3 ip
16×125÷20=100
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
960÷16×(90÷6)=900
 
Remainder 1.3 ip
600÷90=6(60)
 
Multiplier 1.4 ip
24280×200=4856000
 
Divisor 1.3 ip
3162÷17=186
 
Numeracy 0.2 ip
137×2+60÷2=304
 
Numeracy 0.3 ip
7610-1020÷102=7600
 
Numeracy 1.3 ip
3659×16+456=59000
 
Numeracy 2.3 ip
60×38+91×594=56334
 
Numeracy 3.2 ip
220-912÷(2+74)=208
 
Numeracy 3.3 ip
(598-570)×(21+22)=1204
 
Divisor_ENG 1.3 ip
8897÷31=287
 
Decimal Examples
 
 
Partitive 0.1 dp
0.5+2+4=6.5
 
Partitive 0.2 dp
86.2-25.4=60.8
 
 
 
Partitive 2.1 dp
9.6-1-3.2=5.4
 
Partitive 2.2 dp
39.9+29+5.1=74
 
Partitive 3.1 dp
2+(6.6-0.2)=8.4
 
Partitive 3.2 dp
84-(7.9+52)=24.1
 
 
Denary 1.1 dp
3×1.6=4.8
 
Denary 2.1 dp
96÷1.5=64
 
Denary 3.1 dp
20.4÷3.4=6
 
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
 
 
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
 
 
Natural 0.4 ip
293913÷51 > 128×26
 
Natural 3.4 ip
119800÷100 < 403155÷9
 
Ceil 0.1 in
10-0 > -1-6
 
 
Ceil 2.1 in
1+1 > -1-9
 
Ceil 3.1 in
2×(-5) < 4×(-2)
 
Point 1.1 dp
11.6 < 65.2
 
Point 2.1 dp
34+26.2 = 8.1+52.1
 
 
Improper 1.2 fp
361/37 = 361/37
 
Improper 2.1 fp
3/5-1/10 < 1/2+1/6
Equations
 
 
Linear 0.2 ip
(x-70)×8=80
 
Linear 0.3 ip
x×90=630
 
Linear 3.3 ip
x÷8+922=927
 
Linear 4.2 ip
80÷(45-x)=16
 
Linear 4.3 ip
(5+x)×148=740
 
 
Rounding
 
 
 
Rounding 2.1 dp
9.3+71.7≈81
 
Round 0.1 ip
691≈69
 
Round 0.2 ip
2352+1595≈39
 
Round 0.3 ip
147857≈148
 
Round 1.3 ip
244144≈244
 
Round 2.2 ip
5800-2094≈37
 
Round 2.3 ip
583433-140905≈443
 
Round 3.1 ip
29×29≈84
 
Round 3.2 ip
1117×5≈56
 
Round 3.3 ip
870504÷152≈6
Language Exercises
 
 
 
Russian Vocabulary 3.3
знам нитый
 
 
 
 
Lexicon 1.3
else here [pronoun]
 
Infinitive 2.1
            outsat [outsit]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
(0+7)-(10-5)=2
 
 
Conversant 0.3 in
(41-7)-(19-40)=55
 
 
 
 
Conversant 2.3 in
91-63-88=-60
 
 
Conversant 3.2 in
-10-(17-20)=-7
 
Conversant 3.3 in
90-(100+10)=-20
 
Conversant 4.1 in
(10+2)+(6-8)=10
 
Conversant 4.2 in
-(9-19)-(11+5)=-6
 
Conversant 4.3 in
-(50-68)-(67+38)=-87
 
Cognizant 0.4 ip
20÷2×(78÷13)=60
 
Cognizant 1.4 ip
738×345=254610
 
Cognizant 2.4 ip
320970÷390=823
 
Cognizant 3.4 ip
849×664=563736
 
Cognizant 4.4 ip
1000÷4÷25=10
 
Cognizant 5.4 ip
(20×25000)÷250=2000
 
Cognizant 6.4 ip
200÷(2×5)×10=200
 
Multiplier 1.5 ip
37500×2240=84000000
 
Divisor 1.4 ip
49987÷37=1351
 
Intellect 0.1 in
-45÷5-51=-60
 
Intellect 1.1 in
-91÷13+11=4
 
Intellect 2.1 in
-20-7×8+23=-53
 
Intellect 3.1 in
-51+20÷(-2-2)=-56
 
Logics 0.1 in
-50÷5=-10
 
Logics 1.1 in
8×(-8)=-64
 
Logics 2.1 in
10×(-7)÷2=-35
 
Logics 3.1 in
4×(-6×4)=-96
 
Logics 4.1 in
80÷2÷(-2×2)=-10
 
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
 
 
Partitive 0.3 dp
38.43-34.77=3.66
 
Partitive 1.3 dp
16.63+65.61=82.24
 
 
Partitive 3.3 dp
84.01-(77.52-25.51)=32
 
Split 0.1 dn
-2+7.7=5.7
 
Split 0.2 dn
-65.5-19.4=-84.9
 
Split 1.1 dn
0.6-7.5=-6.9
 
Split 1.2 dn
-79.5+64=-15.5
 
Split 2.1 dn
-2.6+1.9-7.3=-8
 
Split 2.2 dn
-32+15.8+27.2=11
 
Split 3.1 dn
-8.4-(-8.7+1)=-0.7
 
Split 3.2 dn
18.8-(68.8-91.3)=41.3
 
 
 
Denary 0.1 dp
1.2÷2=0.6
 
Denary 1.2 dp
27×0.2=5.4
 
Denary 2.2 dp
16.8÷2.4=7
 
Denary 3.2 dp
6.84÷7.2=0.95
 
Denary 4.1 dp
82.8÷23÷4.5=0.8
 
Denary 5.1 dp
0.6×(0.5×5)=1.5
 
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
 
Definition 1.1 dp
48.6+96÷2.5=87
 
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
 
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
 
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
 
Negatory 2.1 dn
22+32÷2.5×5=86
 
 
Fraction Examples
 
 
Numerator 0.1 fp
1/2+(1/6+1/9)=7/9
 
Numerator 0.2 fp
6/23+2/23+436/69=20/3
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
3/8+1/8+2/5=9/10
 
Numerator 2.2 fp
154/85+121/85+77/34=11/2
 
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
 
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
 
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
 
Denominator 1.1 fn
-1/8-3/4=-7/8
 
Denominator 2.1 fn
1/4+1/4+1/8=5/8
 
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
 
Fragment 1.1 fp
5/2÷25/9=9/10
 
Fragment 1.2 fp
7/11×121/7=11/1
 
Fragment 2.1 fp
1/5×5/2÷5/8=4/5
 
 
 
Limited 1.1 fp
8/9÷4/3+2/3=4/3
Comparisons
 
 
Ceil 0.2 in
-38×2 < 16÷(-2)
 
 
 
Ceil 1.3 in
678 > -681
 
Ceil 2.2 in
7-40 < -63+70
 
Ceil 2.3 in
-726+210 < 848-597
 
Ceil 3.2 in
100÷(-25) < -90÷30
 
Ceil 3.3 in
-36×(-4) = 720÷5
 
Point 0.1 dp
1.8×5 = 45.9÷5.1
 
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
 
Point 1.2 dp
34.01 < 35.79
 
Point 1.3 dp
45.147 > 39.876
 
Point 1.4 dp
900.349 < 900.361
 
Point 2.2 dp
70.62-25.85 = 26.99+17.78
 
Point 2.3 dp
6.675+59.134 > 89-23.199
 
Point 3.1 dp
0.8×80 > 75.6÷5.4
 
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
 
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
 
Doted 0.2 dn
63.74 > -72.77
 
Doted 1.1 dn
-89.7 < 35
 
Doted 1.2 dn
-41.12 < 48.26
 
Doted 2.1 dn
40.8+50 > -74.7-16
 
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
 
Doted 3.1 dn
-44×1.4 < -1.4×17
 
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
 
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
 
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
 
Improper 1.3 fp
25052/267 > 1679/18
 
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
 
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
 
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
 
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
 
Descent 1.1 fn
-1/3 > -2/5
 
Descent 1.2 fn
-5/1 < 1/2
 
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
 
 
 
Lineal 0.2 in
44÷(-x)=2
 
Lineal 1.2 in
-x+12=-52
 
 
Lineal 2.2 in
72÷x=-12
 
Lineal 2.3 in
33×x=-990
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
-10÷(1-x)=2
 
Lineal 4.2 in
44÷(x-62)=-11
Rounding
 
 
 
Rounding 0.2 dp
51.99≈52
 
Rounding 1.2 dp
99.06≈99.1
 
Rounding 1.3 dp
17.001≈17
 
Rounding 2.2 dp
44.82-29.27≈15.6
 
Rounding 2.3 dp
60.031-59.245≈0.79
 
Rounding 3.1 dp
21.7÷37.3≈1
 
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
 
 
Russian Vocabulary 2.4
к нкурент
 
 
Lexicon 2.3
f shing [piscatorial]
 
Infinitive 1.2
unbind       unbound [unbind]
 
Infinitive 3.1
lay             [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-74-280+927=573
 
Conversant 0.5 in
-487080+435100+45605=-6375
 
Conversant 1.4 in
-602+442=-160
 
Conversant 2.4 in
747-520-474=-247
 
Conversant 2.5 in
232056+913665-686147=459574
 
Conversant 3.4 in
287-(582+82)=-377
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
(2+962)+(310-484)=790
 
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
 
Divisor 1.5 ip
60000÷600=100
 
Intellect 0.2 in
361+10×21=571
 
Intellect 1.2 in
-720÷360+520=518
 
Intellect 2.2 in
-88÷22+480÷16=26
 
Intellect 3.2 in
837+(-751-209)÷60=821
 
Logics 0.2 in
-780÷(-2×3)=130
 
Logics 1.2 in
92÷(-2)=-46
 
Logics 2.2 in
5×(-10)÷2=-25
 
Logics 3.2 in
(-20×2)÷(-4)=10
 
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
 
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
 
 
Partitive 0.4 dp
478.968-97.735-181.233=200
 
Partitive 1.4 dp
427.596-254.6=172.996
 
Partitive 2.4 dp
156.042+339+414.958=910
 
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
 
Split 0.3 dn
12+46=58
 
Split 0.4 dn
-261.085+(-244.625+975.71)=470
 
Split 1.3 dn
2.59+68=70.59
 
Split 1.4 dn
-450-152.449=-602.449
 
Split 2.3 dn
-73.8-66+93.62=-46.18
 
Split 2.4 dn
114-131.583-424.417=-442
 
Split 3.3 dn
-1.78-(12.26+28.06)=-42.1
 
Split 3.4 dn
46-(163.428+26.744)=-144.172
 
Residual 1.2 dp
30÷25=1.2
 
Divisional 1.3 dp
7.616÷0.112=68
 
Denary 0.2 dp
1.14÷4.56=0.25
 
Denary 0.3 dp
4.86÷5.625=0.864
 
Denary 1.3 dp
1.28×3.125=4
 
Denary 2.3 dp
10.368÷0.648=16
 
Denary 3.3 dp
5.76÷1.152=5
 
Denary 4.2 dp
2.48×1.25×20=62
 
Denary 4.3 dp
35.64÷88÷1.35=0.3
 
Denary 5.2 dp
(1.2×0.3)÷0.02=18
 
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
 
Definition 0.2 dp
2.16×45-15.01=82.19
 
Definition 1.2 dp
7.8×11.4-38.92=50
 
Definition 1.3 dp
39.788-4.68÷2.08=37.538
 
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
 
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
 
Definition 3.2 dp
(0.83+1.17)×(41.3-34.81)=12.98
 
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
 
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
 
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
 
Negatory 1.3 dn
77-43.2÷3=62.6
 
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
 
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
 
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
 
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
 
 
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
 
 
Numerator 0.3 fp
377/20+353/180=1873/90
 
Numerator 1.3 fp
1/42+15943/371=13673/318
 
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
 
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
 
Denominator 0.2 fn
1/6-13/6=-2/1
 
Denominator 1.2 fn
-5/42-19/42=-4/7
 
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
74/9+(-51/11-133/33)=-4/9
 
Fragment 0.1 fp
3/4÷9/4=1/3
 
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
 
Fragment 1.3 fp
350/39÷224/13=25/48
 
Fragment 2.2 fp
21/34×32/21×317/8=634/17
 
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
 
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
 
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
 
Reduction 1.3 fp
17252/247=908/13
 
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
 
Limited 1.2 fp
55/12+12/17÷36/85=25/4
 
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
 
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
 
Complete 1.1 fn
39/7+16/5÷7/4=37/5
 
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
 
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
 
 
Ceil 0.4 in
501900 > -501900
 
Ceil 1.4 in
90321 < 467382
 
Ceil 2.4 in
928979-89750 > 126176+625896
 
Ceil 3.4 in
260×(-30) > 44684÷(-4)
 
Point 0.3 dp
46.453-6.383 > 48.731-8.667
 
Point 0.4 dp
915.258-396.744 = 736.449-217.935
 
Point 2.4 dp
1000-957.41 < 351.661-21.661
 
Point 3.3 dp
2.5×3.456 < 2×8.4
 
Point 3.4 dp
16×8.4 > 94.73÷2.5
 
Doted 0.3 dn
90.929 > -81.469
 
Doted 1.3 dn
10.084 < 12.192
 
Doted 1.4 dn
2.314 > -834.886
 
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
 
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
 
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
 
Improper 0.3 fp
1394/635 < 2666/85
 
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
 
Descent 0.1 fn
-1/2×8/9 < 1/2÷9/10
 
Descent 0.2 fn
67/72 > -3/5
 
Descent 1.3 fn
213/254 < 9715/381
 
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
 
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
 
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
 
 
Lineal 0.3 in
x×44+770=110
 
Lineal 3.3 in
-480+780÷x=-450
 
Lineal 4.3 in
-(-x-855)×40=-880
 
Rounding
 
 
Rounding 0.3 dp
2.193×30.124≈66.06
 
Rounding 3.3 dp
27.479×2.6≈71.45
Language Exercises
 
 
Russian Vocabulary 1.5
бук нист
 
Russian Vocabulary 3.4
на зусть
 
 
 
Lexicon 1.4
caref l [anxious]
 
Infinitive 2.2
swell             [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
 
Intellect 1.3 in
110÷55-5911=-5909
 
Intellect 2.3 in
7189-432÷24×3996=-64739
 
Intellect 3.3 in
2077-8464÷(-250-118)=2100
 
Logics 0.3 in
(-5×45)÷3=-75
 
Logics 1.3 in
79×20=1580
 
Logics 2.3 in
62×(-4)×(-40)=9920
 
Logics 3.3 in
(-5×(-50))÷(-2)=-125
 
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
 
 
 
Denary 0.4 dp
(9.6×0.005)÷12=0.004
 
Denary 1.4 dp
6.72×1.25=8.4
 
Denary 2.4 dp
7.176÷2.4=2.99
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
38.8×24.25÷0.97=970
 
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
 
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
 
Definition 0.4 dp
77.76÷0.6-111.589=18.011
 
Definition 1.4 dp
472.262-2.926÷4.18=471.562
 
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
 
Definition 3.3 dp
90.45+0.036÷(12.44-12.08)=90.55
 
Definition 3.4 dp
30×(4.894+5.312)×1.6=489.888
 
Negatory 0.3 dn
-35+(68.311-56.075)÷4=-31.941
 
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
 
Negatory 1.4 dn
-126÷0.672-313.5=-501
 
Negatory 2.4 dn
9.375×0.096-20÷12.5=-0.7
 
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
 
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
 
Fraction Examples
 
 
Denominator 0.3 fn
-173/9-448/9=-69/1
 
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
 
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
 
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
 
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
 
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
 
Limited 1.3 fp
12/299+2/9÷13/18=8/23
 
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
 
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
-125/32÷(1/11+4/77)=-875/32
Comparisons
 
 
Doted 0.4 dn
-608.316+220 > -290-98.323
 
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
 
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
 
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
 
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
 
 
 
 
 
 
System 0.1 ip
10y-7x=20
 
 
System 2.1 ip
10x×y=200
 
 
Set 0.1 in
y×15x=-300
 
 
Set 2.1 in
216x÷9y=-15
 
Set 3.1 in
10x-2y=-120
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
ent usiasm [delight]
 
Lexicon 2.4
unempl yed [unoccupied]
 
Infinitive 1.3
underspend       underspent [underspend]
 
Infinitive 3.2
sit             [sit]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-15232÷(-16)=952
 
Logics 1.4 in
-9776÷13=-752
 
Logics 2.4 in
380÷20×970=18430
 
Logics 3.4 in
-15×(-160×(-25))=-60000
 
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
5309/82×(14/19-23/57)=5309/246
 
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
 
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
 
 
 
 
Quadratic 2.2 in
-61x2-1220x=0
 
Quadratic 3.2 in
-x2+29x+342=0
 
System 0.2 ip
50y-x=3914
 
 
System 2.2 ip
12y×x=72000
 
System 3.2 ip
30x+30y=2490
 
Set 0.2 in
68640x÷77y=624
 
 
Set 2.2 in
-2160x÷72y=-60
 
Set 3.2 in
47x+20y=-1230
Language Exercises
 
 
 
 
Lexicon 2.5
transpo tation [conveyance]
 
Infinitive 2.3
sight-read             [sight-read]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
180x2=648000
 
Quadratic 1.3 in
29x2=3158100
 
Quadratic 2.3 in
240x2-26160x=0
 
Quadratic 3.3 in
-x2+121x+1452=0
 
System 0.3 ip
89y+72x=87280
 
System 2.3 ip
38x×2y=2708640
 
System 3.3 ip
105x-600y=900
 
Set 0.3 in
18480y÷88x=525
 
Set 1.3 in
-x+y=592
 
Set 2.3 in
-6x×3y=92160
 
Set 3.3 in
400y+130x=144200
Language Exercises
 
 
Infinitive 3.3
refit             [refit]

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