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
мак роны
8+
Recommended for children from eight years
Integer Examples
 
 
 
Beginner 1.4 ip
255+725=980
 
Beginner 2.4 ip
705-207=498
 
Beginner 3.4 ip
957-106=851
 
Beginner 4.3 ip
52-48+6=10
 
Beginner 5.2 ip
10-(12-3)=1
 
 
 
 
Column 1.1 ip
74+26=100
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
29+1 > 62-35
 
Natural 3.1 ip
9×1 > 2×3
Equations
 
 
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
897+24-626=295
 
Beginner 5.3 ip
8+(21+71)=100
 
 
 
 
 
 
Cognizant 5.1 ip
27÷(3×3)=3
 
Cognizant 6.1 ip
4×(8÷2)÷2=8
 
 
Column 1.2 ip
6800+743=7543
 
Column 2.2 ip
7000-6446=554
 
Column 3.2 ip
5643-4996=647
 
 
 
Numeracy 1.1 ip
8×4+28=60
 
Numeracy 2.1 ip
40-30÷5×6=4
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
99÷11=9
 
Division #24
54÷3=18
 
 
Division #26
76÷4=19
 
Division #27
85÷5=17
 
Division #28
24÷2=12
 
Division #29
64÷4=16
 
Division #30
20÷10=2
 
 
Division #32
119÷7=17
 
 
Division #34
88÷8=11
 
Division #35
80÷20=4
 
 
Division #37
60÷6=10
 
Division #38
480÷10=48
 
Division #39
108÷9=12
 
Division #40
77÷11=7
Comparisons
 
 
Natural 0.2 ip
45÷9 < 60÷6
 
 
Natural 2.3 ip
96+250 > 67+278
 
Natural 3.2 ip
100÷10 < 30×3
Equations
 
 
 
 
Linear 3.1 ip
10-5×x=5
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
273+237+310=820
 
Beginner 1.5 ip
213862+93176=307038
 
Beginner 2.5 ip
791251-82566=708685
 
Beginner 3.5 ip
837697-262637=575060
 
Beginner 5.4 ip
343+(116+200)=659
 
Cognizant 0.2 ip
19×(8÷2)×8=608
 
 
Cognizant 2.3 ip
8435÷35=241
 
Cognizant 3.3 ip
4200÷2=2100
 
Cognizant 4.2 ip
8×8×12=768
 
Cognizant 5.2 ip
1000÷(400÷40)=100
 
Cognizant 6.2 ip
2×(10÷5)×100=400
 
 
Column 1.3 ip
120000+352877=472877
 
Column 2.3 ip
503251-320000=183251
 
Column 3.3 ip
840216-352007=488209
 
Multiplier 1.2 ip
7925×4=31700
 
Multiplier 1.3 ip
5500×60=330000
 
 
Numeracy 0.1 ip
64-4×12=16
 
Numeracy 1.2 ip
241+20÷4=246
 
Numeracy 2.2 ip
260÷2-10×4=90
 
Numeracy 3.1 ip
(9+8)÷(10+7)=1
 
 
Remainder_ENG 1.2 ip
182÷17=10(12)
Comparisons
 
 
Natural 0.3 ip
2×24 < 4×19
 
Natural 1.4 ip
870157 > 40000
 
Natural 2.4 ip
385288+74712 < 994888-126225
 
Natural 3.3 ip
5×4 < 460÷2
Equations
 
 
 
Linear 1.3 ip
761-x=661
 
Linear 2.3 ip
x×50=450
 
Linear 3.2 ip
78÷x-1=1
 
Linear 4.1 ip
2×(1+x)=10
Rounding
 
 
Round 1.1 ip
372≈37
 
Round 1.2 ip
9178≈92
 
Round 2.1 ip
475+89≈56
Language Exercises
 
 
Russian Vocabulary 2.3
и кусный
 
 
 
Lexicon 1.2
soft y [gently]
 
Lexicon 2.2
all w [let]
 
Infinitive 1.1
freeze froze       [freeze]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
957514-57514=900000
 
Beginner 4.5 ip
61973+838027-83493=816507
 
Beginner 5.5 ip
904921-(273824-157234)=788331
 
 
Conversant 1.5 in
-356865+968629=611764
 
 
Cognizant 0.3 ip
9072÷14=648
 
Cognizant 4.3 ip
400÷50×1250=10000
 
Cognizant 5.3 ip
1456÷(14÷7)=728
 
Cognizant 6.3 ip
3520÷(2×2)÷40=22
 
Remainder 1.3 ip
271÷87=3(10)
 
Multiplier 1.4 ip
50000×140=7000000
 
Divisor 1.3 ip
7479÷27=277
 
Numeracy 0.2 ip
451×2-76÷19=898
 
Numeracy 0.3 ip
1984+(75+277)÷22=2000
 
Numeracy 1.3 ip
1633+1530÷85=1651
 
Numeracy 2.3 ip
126÷14+168÷84=11
 
Numeracy 3.2 ip
493-(710-658)×3=337
 
Numeracy 3.3 ip
5979-(1475-897)÷34=5962
 
Divisor_ENG 1.3 ip
8449÷71=119
 
Decimal Examples
 
 
 
Partitive 0.2 dp
52.3+57.1-18.4=91
 
 
Partitive 1.2 dp
47.1+3.6=50.7
 
Partitive 2.1 dp
1.7+1.5+1.4=4.6
 
Partitive 2.2 dp
58.5+95.5-75.6=78.4
 
Partitive 3.1 dp
9-(0.2+0.8)=8
 
Partitive 3.2 dp
65.9-(42.6-2)=25.3
 
Divisional 1.1 dp
27.6÷1.5=18.4
 
Denary 1.1 dp
0.8×42.5=34
 
Denary 2.1 dp
39.6÷0.8=49.5
 
Denary 3.1 dp
38.4÷4=9.6
 
Fraction Examples
 
 
Numerator 1.1 fp
3/10+1/5=1/2
Comparisons
 
 
Natural 0.4 ip
18469+181531 > 15000+34092
 
Natural 3.4 ip
5×98 > 48300÷100
 
 
 
Ceil 2.1 in
-4+10 > 2-8
 
Ceil 3.1 in
6÷(-3) = 6÷(-3)
 
Point 1.1 dp
91.5 > 17.7
 
Point 2.1 dp
0.4+20.2 = 14.8+5.8
 
Improper 1.1 fp
9/10 > 3/4
 
Improper 1.2 fp
90/47 < 4/1
 
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
 
 
Linear 0.2 ip
57÷(x-1)=19
 
Linear 0.3 ip
93×x=651
 
Linear 3.3 ip
62×x-326=294
 
Linear 4.2 ip
(x+5)×5=30
 
Linear 4.3 ip
300÷(3+x)=100
 
 
Lineal 2.1 in
x×(-5)=-10
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
529≈53
 
Round 0.2 ip
4×2234≈89
 
Round 0.3 ip
252375+432481≈685
 
Round 1.3 ip
844542≈845
 
Round 2.2 ip
1780+667≈24
 
Round 2.3 ip
97327+55110≈152
 
Round 3.1 ip
410÷5≈8
 
Round 3.2 ip
4494÷2≈22
 
Round 3.3 ip
317850÷489≈1
Language Exercises
 
 
Russian Vocabulary 1.4
орг низм
 
Russian Vocabulary 3.3
дес тикратно
 
 
 
 
Lexicon 1.3
min ral [inorganic]
 
Infinitive 2.1
quick-freeze             [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
-73-(90-81)=-82
 
 
 
 
Conversant 2.3 in
-100+56+14=-30
 
 
Conversant 3.2 in
3+(-15+9)=-3
 
Conversant 3.3 in
-66-(0-18)=-48
 
Conversant 4.1 in
(0+6)-(10+0)=-4
 
Conversant 4.2 in
-(13+10)+(17-1)=-7
 
Conversant 4.3 in
(97+48)-(25+73)=47
 
Cognizant 0.4 ip
300×1800=540000
 
Cognizant 1.4 ip
350×140=49000
 
Cognizant 2.4 ip
424560÷120=3538
 
Cognizant 3.4 ip
125×40=5000
 
Cognizant 4.4 ip
1584÷528×511=1533
 
Cognizant 5.4 ip
(200÷4)×1000=50000
 
Cognizant 6.4 ip
240×(6÷3)×950=456000
 
Multiplier 1.5 ip
5470×2657=14533790
 
Divisor 1.4 ip
18732÷28=669
 
Intellect 0.1 in
6+(44-20)÷6=10
 
Intellect 1.1 in
23+3×19=80
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
-16-(8+2)÷2=-21
 
Logics 0.1 in
-16÷(-4)=4
 
Logics 1.1 in
-50÷5=-10
 
Logics 2.1 in
5×2÷10=1
 
Logics 3.1 in
(36÷(-2))÷2=-9
 
Logics 4.1 in
-4×(2×6)÷3=-16
 
Divisor_ENG 1.4 ip
36126÷27=1338
Decimal Examples
 
 
Partitive 0.3 dp
31.85+47.76=79.61
 
Partitive 1.3 dp
26.24-25.89=0.35
 
Partitive 2.3 dp
63.13-32.42-11=19.71
 
Partitive 3.3 dp
81-(59.17-50.16)=71.99
 
Split 0.1 dn
-5.2-1.6=-6.8
 
Split 0.2 dn
34.4-9.9-77=-52.5
 
Split 1.1 dn
-3.6-5.4=-9
 
Split 1.2 dn
-79.5+64=-15.5
 
Split 2.1 dn
-3.1-7+4=-6.1
 
Split 2.2 dn
-69.5+99.4-60.7=-30.8
 
Split 3.1 dn
-8+(-7.7+5.7)=-10
 
Split 3.2 dn
-40.3-(8.8+4)=-53.1
 
 
Divisional 1.2 dp
20.4÷0.8=25.5
 
Denary 0.1 dp
4.4×8=35.2
 
Denary 1.2 dp
0.64×20=12.8
 
Denary 2.2 dp
46.08÷1.44=32
 
Denary 3.2 dp
4×0.06=0.24
 
Denary 4.1 dp
27×2×0.1=5.4
 
Denary 5.1 dp
10÷(0.5×0.8)=25
 
Definition 0.1 dp
2.5×16.8-33.1=8.9
 
Definition 1.1 dp
30.4+3.6÷9=30.8
 
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
 
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
 
Negatory 1.1 dn
-32÷12.8+66=63.5
 
Negatory 2.1 dn
-12×0.3+1.6÷0.8=-1.6
 
 
Fraction Examples
 
 
Numerator 0.1 fp
2/5-1/5=1/5
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
3/10+841/90=434/45
 
Numerator 2.1 fp
4/5-2/5-3/10=1/10
 
Numerator 2.2 fp
3/11-7/88+9/88=13/44
 
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
 
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
 
Denominator 0.1 fn
1/5+3/10+1/4=3/4
 
Denominator 1.1 fn
7/10-1/10=3/5
 
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
 
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
 
Fragment 1.1 fp
1/3÷2/5=5/6
 
Fragment 1.2 fp
139/8÷973/44=11/14
 
Fragment 2.1 fp
14/3×3/2×1/7=1/1
 
 
Reduction 1.2 fp
550/572=25/26
 
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
 
 
Ceil 0.2 in
-80 < 60
 
Ceil 0.3 in
881 > 763
 
Ceil 1.2 in
-26 < -24
 
Ceil 1.3 in
-985 < -854
 
Ceil 2.2 in
11+18 < 70-0
 
Ceil 2.3 in
-119-609 < 360-610
 
Ceil 3.2 in
-88÷(-2) > 2×20
 
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
 
Point 0.1 dp
1.8×5 = 45.9÷5.1
 
Point 0.2 dp
7.25 = 7.25
 
Point 1.2 dp
80 > 36.8
 
Point 1.3 dp
44.273 < 99.665
 
Point 1.4 dp
310.752 > 310.746
 
Point 2.2 dp
1.2+85.77 > 93.05-6.1
 
Point 2.3 dp
83.011-3.011 > 85.057-20.761
 
Point 3.1 dp
34.5×2 > 97.2÷8.1
 
Point 3.2 dp
24.49÷7.9 > 17.71÷5.75
 
Doted 0.1 dn
-47.3 < 47.4
 
Doted 0.2 dn
-60÷(-2) > 1.2×2
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
97.11 = 97.11
 
Doted 2.1 dn
-1.2+100 > 54.4-37.4
 
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
 
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
 
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
 
Improper 0.1 fp
1/3÷4/9 > 1/5÷1/3
 
Improper 0.2 fp
3/82 < 1/1
 
Improper 1.3 fp
36889/440 > 563/7
 
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
 
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
 
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
 
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
 
Descent 1.1 fn
-3/4 < 1/5
 
Descent 1.2 fn
16/53 < 1/1
 
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
 
 
 
 
Lineal 1.2 in
-x+12=-52
 
 
Lineal 2.2 in
-x×10=-100
 
Lineal 2.3 in
x×80=-800
 
Lineal 3.1 in
-3-x÷5=-5
 
Lineal 3.2 in
67-70÷x=62
 
Lineal 4.1 in
3÷(-x+9)=-3
 
Lineal 4.2 in
-2×(98-x)=-72
Rounding
 
 
Rounding 0.1 dp
17.3÷26≈1
 
Rounding 0.2 dp
37.12+36.15≈73.3
 
Rounding 1.2 dp
90.51≈90.5
 
Rounding 1.3 dp
77.461≈77.46
 
Rounding 2.2 dp
45.64+15.81≈61.5
 
Rounding 2.3 dp
99.255-49.624≈49.63
 
Rounding 3.1 dp
10.1×6≈61
 
Rounding 3.2 dp
40.23÷20.5≈2
Language Exercises
 
 
 
 
Lexicon 2.3
fa rly [quite]
 
Infinitive 1.2
waylay       waylaid [waylay]
 
Infinitive 3.1
      overran       [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
(281+450)-(997-290)=24
 
Conversant 0.5 in
828000-168565=659435
 
 
Conversant 2.4 in
310-770+758=298
 
Conversant 2.5 in
-325759+772245-446486=0
 
Conversant 3.4 in
-172-(-877+488)=217
 
Conversant 3.5 in
-233498+(-575715+763305)=-45908
 
Conversant 4.4 in
(2+962)+(310-484)=790
 
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
 
Divisor 1.5 ip
8480012÷659=12868
 
Intellect 0.2 in
52÷2-236=-210
 
Intellect 1.2 in
-720÷360+520=518
 
Intellect 2.2 in
159+4×6+181=364
 
Intellect 3.2 in
(-60-75)÷(15+12)=-5
 
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
 
Logics 1.2 in
35×(-26)=-910
 
Logics 2.2 in
-20×25÷2=-250
 
Logics 3.2 in
(-1000÷(-2))÷2=250
 
Logics 4.2 in
-8×8×(-2×4)=512
 
Divisor_ENG 1.5 ip
9852759÷567=17377
Decimal Examples
 
 
Partitive 0.4 dp
461.965+76+149.369=687.334
 
 
Partitive 2.4 dp
100+282.387-273.755=108.632
 
Partitive 3.4 dp
375.736-(36+16.85)=322.886
 
Split 0.3 dn
63.09+23.56=86.65
 
Split 0.4 dn
-544.409+274.409=-270
 
Split 1.3 dn
2.59+68=70.59
 
Split 1.4 dn
581.172-141.613=439.559
 
Split 2.3 dn
23.93+45.83-59.2=10.56
 
Split 2.4 dn
-88+222.698+535.302=670
 
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
 
Split 3.4 dn
-403.384+(226-568.333)=-745.717
 
Residual 1.2 dp
32÷20=1.6
 
Divisional 1.3 dp
0.018÷2=0.009
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
18.81÷13.75=1.368
 
Denary 1.3 dp
1.375×17.92=24.64
 
Denary 2.3 dp
2.64÷1.32=2
 
Denary 3.3 dp
1.38÷0.69=2
 
Denary 4.2 dp
2÷0.08×0.32=8
 
Denary 4.3 dp
3.125×12.8×0.88=35.2
 
Denary 5.2 dp
(1.2×0.3)÷0.02=18
 
Denary 5.3 dp
15.36÷(2.4÷3.125)=20
 
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
 
Definition 1.2 dp
36.48÷3-5.06=7.1
 
Definition 1.3 dp
37.8÷0.8-44.988=2.262
 
Definition 2.2 dp
71.87-31.36÷0.98-37.93=1.94
 
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
 
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
 
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
 
Negatory 0.2 dn
-41.5-4÷0.5÷6.4=-42.75
 
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
 
Negatory 1.3 dn
65.8-1.728×6.25=55
 
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
 
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
 
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
 
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
 
 
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
 
 
Numerator 0.3 fp
1/4+(47/452+2446/113)=22/1
 
Numerator 1.3 fp
1/42+15943/371=13673/318
 
Numerator 2.3 fp
508/57+4133/114+35941/669=44105/446
 
Numerator 3.3 fp
32/85+(36/85+88831/940)=89583/940
 
Denominator 0.2 fn
33/20-(1/5+9/20)=1/1
 
Denominator 1.2 fn
-657/74+637/74=-10/37
 
Denominator 1.3 fn
-380/13+770/13=30/1
 
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
 
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
 
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
 
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
 
Fragment 1.3 fp
61/2÷244/77=77/8
 
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
 
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
 
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
 
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
 
Reduction 1.3 fp
56368/572=1084/11
 
Limited 0.1 fp
5/4+1/3÷2/9=11/4
 
Limited 1.2 fp
89/2-1/2×3/16=1421/32
 
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
 
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
 
Complete 1.1 fn
3/4×50/9+5/2=20/3
 
Complete 1.2 fn
-286/9÷550/21+4/5=-31/75
 
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
 
 
Ceil 0.4 in
-22000 < 978611
 
Ceil 1.4 in
-104464 > -559399
 
Ceil 2.4 in
-277008-152992 < -246016+935177
 
Ceil 3.4 in
-267784÷2 > 897594÷(-2)
 
Point 0.3 dp
10.071 < 51.284
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
275.032+76.911 > 864.109-512.178
 
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
 
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
 
Doted 0.3 dn
-92+41 > -91.036+40.026
 
Doted 1.3 dn
18 < 40.871
 
Doted 1.4 dn
2.314 > -834.886
 
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
 
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
 
Doted 3.3 dn
-6.075×1.36 < 49.458÷(-6)
 
Improper 0.3 fp
473/10 < 11159/150
 
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
 
Descent 0.1 fn
-8/9 < 3/4
 
Descent 0.2 fn
-1/1-125/44 > -281/34+74/17
 
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×(-3/5)
 
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
 
 
Lineal 0.3 in
2×(-x+375)=750
 
Lineal 3.3 in
x×29+942=-798
 
Lineal 4.3 in
-60×(865-x)=540
 
Rounding
 
 
Rounding 0.3 dp
38.306-18.454≈19.85
 
Rounding 3.3 dp
100÷1.25≈80
Language Exercises
 
 
 
Russian Vocabulary 3.4
с туация
 
 
 
Lexicon 1.4
associ tion [union]
 
Infinitive 2.2
outshoot             [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
586×43-392÷196=25196
 
Intellect 1.3 in
-151×82-927=-13309
 
Intellect 2.3 in
6522+612÷18-1891=4665
 
Intellect 3.3 in
1694+(2103-977)×50=57994
 
Logics 0.3 in
-15×(-60)÷50=18
 
Logics 1.3 in
-2500÷10=-250
 
Logics 2.3 in
952÷(-34)×95=-2660
 
Logics 3.3 in
(4×400)÷(-100)=-16
 
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
 
 
 
Denary 0.4 dp
47.52×0.2=9.504
 
Denary 1.4 dp
17.25×0.004=0.069
 
Denary 2.4 dp
9.072÷0.648=14
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
0.76÷6.08÷125=0.001
 
Denary 5.4 dp
1.056÷(1.28×6.6)=0.125
 
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
 
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
 
Definition 1.4 dp
7.92×0.25+509.359=511.339
 
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
 
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
 
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
 
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
 
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
 
Negatory 1.4 dn
-380.53+405×0.026=-370
 
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
 
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
 
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
 
Fraction Examples
 
 
Denominator 0.3 fn
101/273+26605/819+6452/117=88/1
 
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
 
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
 
Fragment 0.3 fp
75/2÷1/2=75/1
 
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
 
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
 
Limited 1.3 fp
1/8×3424/643-274/643=154/643
 
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
 
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
 
Complete 1.3 fn
-31/2÷93/251+293/6=7/1
 
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
 
 
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
 
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
 
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
 
Descent 2.3 fn
-1379/58+193/2 > 511/11-115/11
 
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
 
 
 
 
 
 
 
 
System 2.1 ip
90y÷10x=30
 
System 3.1 ip
9y+5x=140
 
Set 0.1 in
9y-8x=-146
 
 
Set 2.1 in
-144x÷4y=-108
 
Set 3.1 in
8y-8x=160
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
desp rately [badly]
 
Lexicon 2.4
 hotograph [image]
 
Infinitive 1.3
shake       shaken [shake]
 
Infinitive 3.2
            becomebikm [become]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-19×26÷(4199÷(-221))=26
 
Logics 1.4 in
-319×610=-194590
 
Logics 2.4 in
-230400÷96÷(-75)=32
 
Logics 3.4 in
-15×(-160×(-25))=-60000
 
Logics 4.4 in
-17×(-39)×(10×24)=159120
Fraction Examples
 
 
Limited 0.3 fp
1/3×7/3-1/36=3/4
 
Limited 2.3 fp
(81/133-4/7)×741/140=39/196
 
Complete 0.3 fn
-831/31÷(1/2-139/2)=277/713
 
Complete 2.3 fn
1273/324×(-3/19-1/19)=-67/81
Equations
 
 
Quadratic 0.2 in
-2x2+26x+280=0
 
 
Quadratic 2.2 in
20x2-1200x=0
 
Quadratic 3.2 in
-x2+8x+48=0
 
System 0.2 ip
2x+56y=5174
 
 
System 2.2 ip
69x÷23y=2
 
System 3.2 ip
60x-20y=60
 
Set 0.2 in
-39y-36x=-540
 
Set 1.2 in
-y-x=-4
 
Set 2.2 in
-260x÷2y=-871
 
Set 3.2 in
-33x-5y=-2830
Language Exercises
 
 
 
 
Lexicon 2.5
del berate [ponder]
 
Infinitive 2.3
      beheld       [behold]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
2x2-544x+25134=0
 
Quadratic 1.3 in
117x2=4916925
 
Quadratic 2.3 in
276x2+2760x=0
 
Quadratic 3.3 in
-2x2-656x-51054=0
 
System 0.3 ip
4y×x=130680
 
System 2.3 ip
10y×3x=614400
 
System 3.3 ip
132x+108y=93720
 
Set 0.3 in
-y+x=530
 
Set 1.3 in
-y-x=704
 
Set 2.3 in
y×4x=146880
 
Set 3.3 in
400y+130x=144200
Language Exercises
 
 
Infinitive 3.3
outsell             [outsell]

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