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
 
 
 
Natural 2.1 ip
10-0 > 2+2
Language Exercises
 
 
8+
Recommended for children from eight years
Integer Examples
 
 
Beginner 0.2 ip
14-(2+12)=0
 
 
Beginner 2.4 ip
810-176=634
 
Beginner 3.4 ip
968-658=310
 
Beginner 4.3 ip
81-6-22=53
 
Beginner 5.2 ip
18-(7+8)=3
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
30+0 > 21+0
 
Natural 3.1 ip
9÷3 < 4×1
Equations
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
65-(24+8)=33
 
Beginner 4.4 ip
936-41-35=860
 
Beginner 5.3 ip
97-(5+60)=32
 
 
 
 
 
Cognizant 4.1 ip
10×9÷5=18
 
Cognizant 5.1 ip
100÷(4×5)=5
 
Cognizant 6.1 ip
5×2×(6÷3)=20
 
 
Column 1.2 ip
2422+7578=10000
 
Column 2.2 ip
2694-2070=624
 
Column 3.2 ip
6041-3545=2496
 
 
 
Numeracy 1.1 ip
68÷34+68=70
 
Numeracy 2.1 ip
58+45÷3-43=30
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #22
34÷2=17
 
Division #23
22÷11=2
 
 
Division #25
48÷3=16
 
Division #26
56÷4=14
 
Division #27
70÷5=14
 
 
Division #29
54÷3=18
 
Division #30
90÷30=3
 
Division #31
60÷6=10
 
Division #32
112÷7=16
 
Division #33
66÷6=11
 
 
 
 
Division #37
98÷7=14
 
Division #38
420÷20=21
 
Division #39
108÷9=12
 
Division #40
55÷11=5
Comparisons
 
 
Natural 0.2 ip
3×3 < 72÷3
 
 
Natural 2.3 ip
978-169 > 283-263
 
Natural 3.2 ip
8×6 < 100÷2
Equations
 
 
 
 
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
786-406=380
 
Beginner 1.5 ip
141211+55934=197145
 
Beginner 2.5 ip
993679-793679=200000
 
Beginner 3.5 ip
126529+74200=200729
 
Beginner 5.4 ip
203+(86+232)=521
 
 
Cognizant 1.3 ip
36×30=1080
 
Cognizant 2.3 ip
2826÷18=157
 
Cognizant 3.3 ip
3000÷3=1000
 
Cognizant 4.2 ip
420÷10×12=504
 
Cognizant 5.2 ip
40×(2×2)=160
 
Cognizant 6.2 ip
10÷(5×2)×20=20
 
Remainder 1.2 ip
134÷12=11(2)
 
Column 1.3 ip
242327+357673=600000
 
Column 2.3 ip
949800-642000=307800
 
Column 3.3 ip
457348-227348=230000
 
Multiplier 1.2 ip
1625×8=13000
 
Multiplier 1.3 ip
3350×60=201000
 
Divisor 1.2 ip
928÷2=464
 
Numeracy 0.1 ip
92÷2-34=12
 
Numeracy 1.2 ip
900÷10-46=44
 
Numeracy 2.2 ip
260÷2-10×4=90
 
Numeracy 3.1 ip
(37+23)÷(58-48)=6
 
 
Comparisons
 
 
Natural 0.3 ip
920÷10 < 12×8
 
Natural 1.4 ip
796100 > 715403
 
Natural 2.4 ip
978592-119645 > 300438-238438
 
Natural 3.3 ip
790÷10 < 2×100
Equations
 
 
 
 
Linear 2.3 ip
x×200=1000
 
 
Linear 4.1 ip
7÷(x-1)=7
Rounding
 
 
Round 1.1 ip
802≈80
 
Round 1.2 ip
7036≈70
 
Round 2.1 ip
723-44≈68
Language Exercises
 
 
Russian Vocabulary 2.3
обн вление
 
 
 
Lexicon 1.2
s fely [securely]
 
Lexicon 2.2
 range [fruit]
 
Infinitive 1.1
undersell undersold       [undersell]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
900000-320000=580000
 
Beginner 4.5 ip
830000-419071+290692=701621
 
Beginner 5.5 ip
291757+(668981-380000)=580738
 
 
Conversant 1.5 in
47000-651290=-604290
 
 
 
Cognizant 4.3 ip
23×39×3=2691
 
Cognizant 5.3 ip
720÷(12×2)=30
 
Cognizant 6.3 ip
3520÷(2×2)÷40=22
 
Remainder 1.3 ip
911÷30=30(11)
 
Multiplier 1.4 ip
20000×467=9340000
 
Divisor 1.3 ip
7033÷13=541
 
Numeracy 0.2 ip
629+42÷6=636
 
Numeracy 0.3 ip
7600-10×500=2600
 
Numeracy 1.3 ip
6000+80×175=20000
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
(30+17)×(210-195)=705
 
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
 
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
9.2+(87.1-39.2)=57.1
 
 
Partitive 1.2 dp
2.2+14=16.2
 
Partitive 2.1 dp
8.4-1.2-2.2=5
 
Partitive 2.2 dp
58.5+95.5-75.6=78.4
 
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
 
Partitive 3.2 dp
15.9+(5.7+32)=53.6
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
0.8×42.5=34
 
Denary 2.1 dp
96÷1.5=64
 
 
Fraction Examples
 
 
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
 
 
Natural 0.4 ip
300830+407403 < 880295-31818
 
Natural 3.4 ip
104×17 < 25×72
 
Ceil 0.1 in
5+5 > 8-10
 
 
Ceil 2.1 in
4+5 < 6+4
 
Ceil 3.1 in
2×2 > 9÷3
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
98.1-22.4 < 84.4-5.9
 
 
Improper 1.2 fp
347/67 > 4/5
 
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
 
 
Linear 0.2 ip
48÷x-1=1
 
Linear 0.3 ip
741÷x=39
 
Linear 3.3 ip
96-x÷2=43
 
Linear 4.2 ip
56÷(x+1)=7
 
Linear 4.3 ip
120×(x-864)=720
 
 
Lineal 2.1 in
x÷(-7)=-1
Rounding
 
 
 
Rounding 2.1 dp
19.1-18.1≈1
 
Round 0.1 ip
97+168≈27
 
Round 0.2 ip
4126≈41
 
Round 0.3 ip
535855≈536
 
Round 1.3 ip
244144≈244
 
Round 2.2 ip
1780+667≈24
 
Round 2.3 ip
945024-244674≈700
 
Round 3.1 ip
988÷13≈8
 
Round 3.2 ip
1117×5≈56
 
Round 3.3 ip
8969×52≈466
Language Exercises
 
 
Russian Vocabulary 1.4
ор ентация
 
Russian Vocabulary 3.3
исч зать
 
 
 
 
Lexicon 1.3
tr ding [commerce]
 
Infinitive 2.1
quick-freeze             [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
-(1-10)+(4-10)=3
 
Conversant 0.2 in
-13+(20-10)=-3
 
Conversant 0.3 in
-73-(90-81)=-82
 
 
 
 
Conversant 2.3 in
32-100-21=-89
 
 
Conversant 3.2 in
-10-(-3-6)=-1
 
Conversant 3.3 in
17-(90+20)=-93
 
Conversant 4.1 in
-(0-7)-(6+6)=-5
 
Conversant 4.2 in
(19-17)-(1+13)=-12
 
Conversant 4.3 in
-(100-100)-(49-19)=-30
 
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
 
Cognizant 1.4 ip
741×1000=741000
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
125×40=5000
 
Cognizant 4.4 ip
95040÷96÷11=90
 
Cognizant 5.4 ip
(500÷2)×40=10000
 
Cognizant 6.4 ip
36300÷(10×11)÷11=30
 
Multiplier 1.5 ip
65000×1499=97435000
 
Divisor 1.4 ip
22400÷32=700
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
73-6×22=-59
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
-60+20÷(17-15)=-50
 
Logics 0.1 in
80÷(-5)=-16
 
Logics 1.1 in
57÷(-3)=-19
 
Logics 2.1 in
-9×(-2)×2=36
 
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
 
Logics 4.1 in
-4×(2×6)÷3=-16
 
Divisor_ENG 1.4 ip
31739÷17=1867
Decimal Examples
 
 
Partitive 0.3 dp
38.43-34.77=3.66
 
Partitive 1.3 dp
62.72-32.71=30.01
 
Partitive 2.3 dp
70-58+33=45
 
Partitive 3.3 dp
96.35-(20+10)=66.35
 
Split 0.1 dn
-5.2-1.6=-6.8
 
Split 0.2 dn
-12-(1.3+16.1)=-29.4
 
Split 1.1 dn
-8.9-1.1=-10
 
Split 1.2 dn
-84-14.4=-98.4
 
Split 2.1 dn
4.7+6.9-9.7=1.9
 
Split 2.2 dn
-30.6-32+9.6=-53
 
Split 3.1 dn
7.3-(9-6)=4.3
 
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
 
 
 
Denary 0.1 dp
8.7÷1.5=5.8
 
Denary 1.2 dp
2.2×1.05=2.31
 
Denary 2.2 dp
1.44÷7.2=0.2
 
Denary 3.2 dp
5.6×0.05=0.28
 
Denary 4.1 dp
27×2×0.1=5.4
 
Denary 5.1 dp
1.6×(5×0.1)=0.8
 
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
 
Definition 1.1 dp
3.5×1.6+27.1=32.7
 
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
 
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
 
Negatory 1.1 dn
6×1.8+1.4=12.2
 
Negatory 2.1 dn
58+8÷2.5÷2=59.6
 
 
Fraction Examples
 
 
Numerator 0.1 fp
4/9+2/9+1/6=5/6
 
Numerator 0.2 fp
5/6+25/6-33/8=7/8
 
Numerator 1.2 fp
157/18-83/14=176/63
 
Numerator 2.1 fp
1/4+1/4+1/4=3/4
 
Numerator 2.2 fp
119/87+484/87-201/29=0/1
 
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
 
Numerator 3.2 fp
24/17-(1/5+18/85)=1/1
 
Denominator 0.1 fn
1/3+2/3-2/3=1/3
 
 
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
 
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
 
Fragment 1.1 fp
3/4×68/7=51/7
 
Fragment 1.2 fp
92/7÷460/21=3/5
 
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
 
 
Reduction 1.2 fp
3231/129=1077/43
 
Limited 1.1 fp
3/5+1/2÷5/6=6/5
Comparisons
 
 
Ceil 0.2 in
-45×2 < -44÷2
 
Ceil 0.3 in
873 > -188
 
Ceil 1.2 in
30 < 100
 
Ceil 1.3 in
-892 < -756
 
Ceil 2.2 in
18+43 > -28+57
 
Ceil 2.3 in
860-7 > 134-553
 
Ceil 3.2 in
-7×(-13) > -50÷5
 
Ceil 3.3 in
892÷(-4) < 369÷(-3)
 
Point 0.1 dp
13+55.3 > 45-1.4
 
Point 0.2 dp
65.77 > 45.17
 
Point 1.2 dp
34.01 < 35.79
 
Point 1.3 dp
42.354 < 42.371
 
Point 1.4 dp
210.97 > 155.721
 
Point 2.2 dp
98.73-1.14 > 7.39+0.53
 
Point 2.3 dp
46.766+8.23 < 97.161-7.524
 
Point 3.1 dp
4.5×2.8 > 1.5×3.4
 
Point 3.2 dp
1.6×11.25 < 81÷4.05
 
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
 
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
 
Doted 1.1 dn
37.3 > 20
 
Doted 1.2 dn
82.65 > -97.27
 
Doted 2.1 dn
-49-1 < -31.6+75.9
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
1.5×16.8 > -2.5×(-8)
 
Doted 3.2 dn
-95.76÷(-23.94) = -43.4÷(-10.85)
 
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
 
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
 
Improper 1.3 fp
92/397 < 8/11
 
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
 
Improper 2.3 fp
3168/421+5593/421 > 1/10+1/90
 
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
 
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
 
Descent 1.1 fn
-3/4 < 1/5
 
Descent 1.2 fn
-5/1 < 1/2
 
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
 
 
 
Lineal 0.2 in
10÷(-7-x)=5
 
Lineal 1.2 in
-x+12=-52
 
Lineal 1.3 in
x-914=-255
 
Lineal 2.2 in
x×(-8)=-80
 
Lineal 2.3 in
-42×x=-420
 
Lineal 3.1 in
-3-x÷5=-5
 
Lineal 3.2 in
52+94÷x=54
 
Lineal 4.1 in
6÷(-x+9)=3
 
Lineal 4.2 in
-5×(-61-x)=0
Rounding
 
 
Rounding 0.1 dp
80.9-15.9≈65
 
Rounding 0.2 dp
19.91÷5≈4
 
Rounding 1.2 dp
50.35≈50.4
 
Rounding 1.3 dp
0.771≈0.77
 
Rounding 2.2 dp
42.03-2.91≈39.1
 
Rounding 2.3 dp
29.431-25.435≈4
 
Rounding 3.1 dp
68.8÷3≈23
 
Rounding 3.2 dp
75×0.2≈15
Language Exercises
 
 
Russian Vocabulary 2.4
э спрессия
 
 
Lexicon 2.3
attac  [join]
 
Infinitive 1.2
bleed       bled [bleed]
 
Infinitive 3.1
bust             [bust]
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
-493+602=109
 
Conversant 2.4 in
310-770+758=298
 
Conversant 2.5 in
278000-101822+61000=237178
 
Conversant 3.4 in
-229-(346+83)=-658
 
Conversant 3.5 in
866806+(-785762+337452)=418496
 
Conversant 4.4 in
-(92-67)+(152+426)=553
 
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
 
Divisor 1.5 ip
900000÷500=1800
 
Intellect 0.2 in
-48×19+30×42=348
 
Intellect 1.2 in
11+22÷2=22
 
Intellect 2.2 in
-319+377×3-572=240
 
Intellect 3.2 in
(-60-75)÷(15+12)=-5
 
Logics 0.2 in
-210÷(6÷(-3))=105
 
Logics 1.2 in
-10×(-20)=200
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
-350÷(-70÷14)=70
 
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
 
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
 
 
Partitive 0.4 dp
455.8-339.8=116
 
Partitive 1.4 dp
359.879+246.465=606.344
 
Partitive 2.4 dp
590-111.573-328.427=150
 
Partitive 3.4 dp
237.038+(265.417+175.545)=678
 
Split 0.3 dn
-87.46+(-90+98.79)=-78.67
 
Split 0.4 dn
119.87-341.97+409.266=187.166
 
Split 1.3 dn
67.28+22.69=89.97
 
Split 1.4 dn
-10.495-147.571=-158.066
 
Split 2.3 dn
0.05-45.9-49.15=-95
 
Split 2.4 dn
-93.725-75+140.922=-27.803
 
Split 3.3 dn
-96.68-(60.52-98.2)=-59
 
Split 3.4 dn
-160-(170.28+536.543)=-866.823
 
Residual 1.2 dp
99÷30=3.3
 
Divisional 1.3 dp
0.009÷0.09=0.1
 
Denary 0.2 dp
3.75×0.04=0.15
 
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
 
Denary 1.3 dp
0.64×0.1=0.064
 
Denary 2.3 dp
1.68÷0.56=3
 
Denary 3.3 dp
3.432÷1.716=2
 
Denary 4.2 dp
1.1×2.4÷3=0.88
 
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
 
Denary 5.2 dp
(1.5×0.8)÷8=0.15
 
Denary 5.3 dp
0.022×(62.5×0.032)=0.044
 
Definition 0.2 dp
6.88×5+1.04×15=50
 
Definition 1.2 dp
0.5×5+45.5=48
 
Definition 1.3 dp
37.8÷0.8-44.988=2.262
 
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
 
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
 
Definition 3.2 dp
(0.83+1.17)×(41.3-34.81)=12.98
 
Negatory 0.1 dn
-2÷0.8+1.5×4=3.5
 
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
 
Negatory 1.2 dn
-23.04÷72-89.74=-90.06
 
Negatory 1.3 dn
-1.25×2.24-37.2=-40
 
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
 
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
 
Negatory 3.1 dn
82.8-(93-28)÷32.5=80.8
 
Negatory 3.2 dn
(0.5+0.78)×(-4.33-6.67)=-14.08
 
 
Divisional_ENG 1.3 dp
0.234÷6=0.039
Fraction Examples
 
 
Numerator 0.3 fp
189/5-1162/65=259/13
 
Numerator 1.3 fp
1135/12-793/12=57/2
 
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
-105/23+1/4=-397/92
 
Denominator 1.2 fn
-299/30+3/2=-127/15
 
Denominator 1.3 fn
-1/5-1/45=-2/9
 
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
 
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
 
Fragment 0.1 fp
4/3×3/8×9/2=9/4
 
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
 
Fragment 1.3 fp
49/96×2586/49=431/16
 
Fragment 2.2 fp
12/5×1/3×173/4=173/5
 
Fragment 2.3 fp
158/5×20/79÷40/37=37/5
 
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
 
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
 
Reduction 1.3 fp
10782/1422=599/79
 
Limited 0.1 fp
1/6+2/3×1/8=1/4
 
Limited 1.2 fp
609/13×44/87-87/13=17/1
 
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
 
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
 
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
 
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
 
Complete 2.1 fn
1/7×(19/4+9/4)=1/1
Comparisons
 
 
Ceil 0.4 in
-244716 > -949111
 
Ceil 1.4 in
-33554 < 178325
 
Ceil 2.4 in
-33000-626579 < 590364-135769
 
Ceil 3.4 in
-668800÷2 > -788012÷2
 
Point 0.3 dp
2.932+11.334 < 95.547-81.263
 
Point 0.4 dp
551.044÷3.25 = 0.64×264.925
 
Point 2.4 dp
405.597-304.966 < 41.823+222.594
 
Point 3.3 dp
13.351÷1.027 > 74.712÷8
 
Point 3.4 dp
1.75×39.424 < 92.16×1.575
 
Doted 0.3 dn
-30+57 > -45.425-10.68
 
Doted 1.3 dn
11.471 > -11.454
 
Doted 1.4 dn
358.696 < 358.713
 
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
 
Doted 2.4 dn
100-666.371 < 86+480.361
 
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
 
Improper 0.3 fp
256/993+560/993 < 1/2+46/3
 
Improper 3.3 fp
17/24×296/799 < 12/17÷72/85
 
Descent 0.1 fn
5/6 > -5/8
 
Descent 0.2 fn
-3/4×8/9 < -5/1×1/15
 
Descent 1.3 fn
33461/449 > 23705/449
 
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
 
Descent 3.1 fn
-1/2÷3/4 < 5/6×4/5
 
Descent 3.2 fn
27/44÷(-81/100) < 1/2÷21/20
Equations
 
 
Lineal 0.3 in
x÷(-13)=-23
 
Lineal 3.3 in
-1+x÷577=0
 
Lineal 4.3 in
-756÷(-937+x)=36
 
Rounding
 
 
Rounding 0.3 dp
4.37×0.168≈0.73
 
Rounding 3.3 dp
92×0.5≈46
Language Exercises
 
 
Russian Vocabulary 1.5
диф рамб
 
Russian Vocabulary 3.4
систем тически
 
 
 
Lexicon 1.4
h morous [jocular]
 
Infinitive 2.2
shoot             [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-6712-(92+1333)×53=-82237
 
Intellect 1.3 in
5832÷72+6855=6936
 
Intellect 2.3 in
-1800-81×20-1980=-5400
 
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
(-20×(-25))÷2=250
 
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
 
 
 
Denary 0.4 dp
3×0.01=0.03
 
Denary 1.4 dp
0.72×0.225=0.162
 
Denary 2.4 dp
5.544÷0.504=11
 
Denary 3.4 dp
138.24÷34.56=4
 
Denary 4.4 dp
213.84÷388.8×411=226.05
 
Denary 5.4 dp
(810÷28.125)×0.25=7.2
 
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
 
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
 
Definition 1.4 dp
472.262-2.926÷4.18=471.562
 
Definition 2.4 dp
295.283+16.56÷460+209.761=505.08
 
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
 
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
 
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
 
Negatory 0.4 dn
456.24-65.17×8÷14=419
 
Negatory 1.4 dn
-3×84.48+93.275=-160.165
 
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
 
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
 
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
 
Fraction Examples
 
 
Denominator 0.3 fn
-787/43+(37633/602-497/172)=1157/28
 
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
 
Denominator 3.3 fn
-6159/232-(-1/2-783/8)=2083/29
 
Fragment 0.3 fp
27/2×1/27×2/3=1/3
 
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
 
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
34/5÷(159/7-145/7)=17/5
 
Complete 0.2 fn
(702/19+324/19)÷111/67=1206/37
 
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
 
Complete 2.2 fn
(1/5+1/5)÷7/15=6/7
Comparisons
 
 
Doted 0.4 dn
-330 > -800
 
Doted 3.4 dn
599.86÷(-29.993) > -57.8×13.2
 
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
 
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
 
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2+12x-11=0
 
 
 
System 2.1 ip
x×2y=160
 
System 3.1 ip
10x+4y=140
 
Set 0.1 in
-x+y=13
 
 
Set 2.1 in
-2y×19x=304
 
Set 3.1 in
10x-2y=-120
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
bl me [condemn]
 
Lexicon 2.4
instit tion [founding]
 
Infinitive 1.3
withdraw       withdrawn [withdraw]
 
Infinitive 3.2
            bent [bend]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
(200×(-2))÷10=-40
 
Logics 1.4 in
9568÷368=26
 
Logics 2.4 in
380÷20×970=18430
 
Logics 3.4 in
169290÷(33×(-10))=-513
 
Logics 4.4 in
25×(-50×32)×2=-80000
Fraction Examples
 
 
Limited 0.3 fp
8/19÷16/855+12935/466=11710/233
 
Limited 2.3 fp
11932/947÷(4/45+1/9)=59660/947
 
Complete 0.3 fn
5/6÷371/36+152/371=26/53
 
Complete 2.3 fn
(159/10+4293/70)×353/901=1059/35
Equations
 
 
Quadratic 0.2 in
68x2+2720x=0
 
 
Quadratic 2.2 in
24x2-840x=0
 
Quadratic 3.2 in
-x2+29x+342=0
 
 
 
System 2.2 ip
3600x÷100y=18
 
System 3.2 ip
47x+36y=7298
 
Set 0.2 in
7x-2y=-234
 
Set 1.2 in
-y-x=-10
 
Set 2.2 in
66x÷5y=66
 
Set 3.2 in
-60y+79x=-171
Language Exercises
 
 
 
 
Lexicon 2.5
disappr val [censure]
 
Infinitive 2.3
sight-read             [sight-read]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
977x2+306778x=0
 
Quadratic 1.3 in
40x2=2152960
 
Quadratic 2.3 in
276x2+2760x=0
 
Quadratic 3.3 in
-x2+121x+1452=0
 
System 0.3 ip
8x×5y=1984000
 
System 2.3 ip
20x×38y=3754400
 
System 3.3 ip
88x+92y=165040
 
 
Set 1.3 in
-y-x=-72
 
Set 2.3 in
6336x÷3y=6688
 
Set 3.3 in
-240x-356y=268876
Language Exercises
 
 
Infinitive 3.3
find             [find]

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