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
16+(2+2)=20
 
 
 
Beginner 3.4 ip
20+703=723
 
Beginner 4.3 ip
38+62-13=87
 
Beginner 5.2 ip
19+(13-12)=20
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
Natural 0.1 ip
4×1 < 2×5
 
 
Natural 2.2 ip
1+0 < 44+30
 
Natural 3.1 ip
8÷2 < 7÷1
Equations
 
Language Exercises
 
 
Russian Vocabulary 1.2
отеч ство
 
 
Russian Vocabulary 3.1
л песток
 
 
 
Lexicon 1.1
z ro [naught]
 
Lexicon 2.1
 hop [store]
9+
Recommended for children from nine years
Integer Examples
 
 
Beginner 0.3 ip
12+(50+36)=98
 
Beginner 4.4 ip
781-388-341=52
 
Beginner 5.3 ip
76-(4+40)=32
 
 
 
 
 
 
Cognizant 5.1 ip
90÷(18÷2)=10
 
Cognizant 6.1 ip
6×(2×9)÷3=36
 
 
Column 1.2 ip
5899+1801=7700
 
Column 2.2 ip
5356-4837=519
 
Column 3.2 ip
4841+594=5435
 
 
 
Numeracy 1.1 ip
46+2×11=68
 
Numeracy 2.1 ip
42-40÷20+36=76
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #22
34÷2=17
 
Division #23
55÷11=5
 
Division #24
54÷3=18
 
Division #25
48÷3=16
 
Division #26
56÷4=14
 
Division #27
75÷5=15
 
Division #28
40÷2=20
 
Division #29
48÷4=12
 
 
 
Division #32
126÷7=18
 
Division #33
66÷6=11
 
 
 
Division #36
108÷9=12
 
 
Division #38
260÷20=13
 
 
Comparisons
 
 
 
 
Natural 2.3 ip
800-401 < 190+410
 
Natural 3.2 ip
12×7 < 2×43
Equations
 
 
 
 
Language Exercises
 
 
Russian Vocabulary 1.3
авт мобиль
 
Russian Vocabulary 2.2
оранж вый
 
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
975-21-84=870
 
Beginner 1.5 ip
82493+27507=110000
 
Beginner 2.5 ip
993679-793679=200000
 
Beginner 3.5 ip
949282-152711=796571
 
Beginner 5.4 ip
93+(937-95)=935
 
Cognizant 0.2 ip
900÷3÷25=12
 
 
 
Cognizant 3.3 ip
4200÷2=2100
 
Cognizant 4.2 ip
40÷4×9=90
 
Cognizant 5.2 ip
(120÷2)÷3=20
 
Cognizant 6.2 ip
4×5×(50÷2)=500
 
Remainder 1.2 ip
151÷12=12(7)
 
Column 1.3 ip
448033+237992=686025
 
Column 2.3 ip
153068-120068=33000
 
Column 3.3 ip
731324+78676=810000
 
Multiplier 1.2 ip
1625×8=13000
 
Multiplier 1.3 ip
1379×70=96530
 
 
Numeracy 0.1 ip
(62-38)÷(62-56)=4
 
Numeracy 1.2 ip
120×6-427=293
 
Numeracy 2.2 ip
724÷2-40÷20=360
 
Numeracy 3.1 ip
(9+8)÷(10+7)=1
 
 
Comparisons
 
 
Natural 0.3 ip
920÷10 < 12×8
 
Natural 1.4 ip
391473 < 539839
 
Natural 2.4 ip
900508-5407 > 439545-227813
 
Natural 3.3 ip
536÷67 = 4×2
Equations
 
 
Linear 0.1 ip
(x+2)×3=9
 
Linear 1.3 ip
917-x=137
 
Linear 2.3 ip
897÷x=299
 
Linear 3.2 ip
x-43=37
 
Linear 4.1 ip
(x+3)×2=10
Rounding
 
 
Round 1.1 ip
256≈26
 
Round 1.2 ip
9178≈92
 
Round 2.1 ip
112+61≈17
Language Exercises
 
 
 
 
 
Lexicon 1.2
pi k [rose-color]
 
Lexicon 2.2
m nth [moon]
 
Infinitive 1.1
freeze       frozen [freeze]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
689169+235946=925115
 
Beginner 4.5 ip
561273+249458-799031=11700
 
Beginner 5.5 ip
300000+(902913-209889)=993024
 
 
Conversant 1.5 in
-176346+366346=190000
 
 
Cognizant 0.3 ip
26×10×(32÷2)=4160
 
Cognizant 4.3 ip
210÷14÷15=1
 
Cognizant 5.3 ip
31×(60×2)=3720
 
Cognizant 6.3 ip
126÷(9÷3)×37=1554
 
Remainder 1.3 ip
436÷67=6(34)
 
Multiplier 1.4 ip
24540×109=2674860
 
Divisor 1.3 ip
7964÷44=181
 
Numeracy 0.2 ip
(100-27)×(20-9)=803
 
Numeracy 0.3 ip
9600+3200÷200×25=10000
 
Numeracy 1.3 ip
6000+80×175=20000
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
276+(45-44)×37=313
 
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
 
Divisor_ENG 1.3 ip
3565÷31=115
 
Decimal Examples
 
 
Partitive 0.1 dp
0.5+2+4=6.5
 
Partitive 0.2 dp
44.5-2=42.5
 
 
Partitive 1.2 dp
23.4+21.6=45
 
Partitive 2.1 dp
2-1.7+8=8.3
 
Partitive 2.2 dp
58.2-1.7+34=90.5
 
Partitive 3.1 dp
4.6-(1.4+0.6)=2.6
 
Partitive 3.2 dp
27.3-(47.1-46)=26.2
 
Divisional 1.1 dp
46.2÷2=23.1
 
Denary 1.1 dp
1.9×5=9.5
 
Denary 2.1 dp
7.6÷1.9=4
 
Denary 3.1 dp
2×8.9=17.8
 
Fraction Examples
 
 
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
 
 
Natural 0.4 ip
916868 < 966303
 
Natural 3.4 ip
512000÷256 < 906696÷28
 
Ceil 0.1 in
5+5 > 8-10
 
 
Ceil 2.1 in
7-10 < -2-0
 
Ceil 3.1 in
8÷4 > -10÷(-10)
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
98.1-22.4 < 84.4-5.9
 
 
Improper 1.2 fp
445/68 < 7/1
 
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
 
 
Linear 0.2 ip
100÷(73-x)=4
 
Linear 0.3 ip
900÷x+215=245
 
Linear 3.3 ip
459÷x+539=590
 
Linear 4.2 ip
4×(x+14)=100
 
Linear 4.3 ip
(x-67)×39=897
 
 
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
986-19≈97
 
Round 0.2 ip
9379-1047≈83
 
Round 0.3 ip
959576÷472≈2
 
Round 1.3 ip
173856≈174
 
Round 2.2 ip
5800-2094≈37
 
Round 2.3 ip
965026-242853≈722
 
Round 3.1 ip
3×295≈89
 
Round 3.2 ip
3835÷5≈8
 
Round 3.3 ip
153290×5≈766
Language Exercises
 
 
Russian Vocabulary 1.4
орг низм
 
 
 
 
 
Lexicon 1.3
tr ding [commerce]
 
Infinitive 2.1
backslide             [backslide]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
-3-(-6+4)=-1
 
Conversant 0.2 in
-13+(20-10)=-3
 
Conversant 0.3 in
-48-(-43-79)=74
 
 
 
 
Conversant 2.3 in
-18+29-37=-26
 
 
Conversant 3.2 in
19+(-5+6)=20
 
Conversant 3.3 in
-14+(-13+7)=-20
 
Conversant 4.1 in
-(0+0)+(4-3)=1
 
Conversant 4.2 in
-(14-20)-(19-10)=-3
 
Conversant 4.3 in
(30+25)+(16+28)=99
 
Cognizant 0.4 ip
4×2×3125=25000
 
Cognizant 1.4 ip
234×850=198900
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
1000÷4÷25=10
 
Cognizant 5.4 ip
5600÷(224÷8)=200
 
Cognizant 6.4 ip
200÷(2×5)×10=200
 
Multiplier 1.5 ip
43000×1131=48633000
 
Divisor 1.4 ip
71766÷81=886
 
Intellect 0.1 in
-33+6÷2=-30
 
 
Intellect 2.1 in
-9-7×3-43=-73
 
Intellect 3.1 in
(100-10)÷(13-4)=10
 
Logics 0.1 in
-64÷(2×(-2))÷(-4)=-4
 
Logics 1.1 in
57÷(-3)=-19
 
Logics 2.1 in
48÷4÷(-3)=-4
 
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
 
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
 
Divisor_ENG 1.4 ip
57000÷95=600
Decimal Examples
 
 
Partitive 0.3 dp
64.5+15.95=80.45
 
Partitive 1.3 dp
42.9+50=92.9
 
Partitive 2.3 dp
12.65+34.4+40.93=87.98
 
Partitive 3.3 dp
30+(3.3+52.04)=85.34
 
Split 0.1 dn
-9.8+0+2=-7.8
 
Split 0.2 dn
-18+5.6+82.2=69.8
 
Split 1.1 dn
-1.2-5.1=-6.3
 
Split 1.2 dn
-87.1-7=-94.1
 
Split 2.1 dn
0.6-4.8+5.1=0.9
 
Split 2.2 dn
0.3-88.7+77.4=-11
 
Split 3.1 dn
5.2-(8+1.7)=-4.5
 
Split 3.2 dn
-7+(-14.5-70.1)=-91.6
 
Residual 1.1 dp
95÷10=9.5
 
Divisional 1.2 dp
0.51÷3=0.17
 
Denary 0.1 dp
0.5×5.2÷2=1.3
 
Denary 1.2 dp
49.5×0.1=4.95
 
Denary 2.2 dp
1.54÷0.56=2.75
 
Denary 3.2 dp
2.88÷36=0.08
 
Denary 4.1 dp
0.8÷8×74=7.4
 
Denary 5.1 dp
(19×0.1)÷0.5=3.8
 
Definition 0.1 dp
27.3+1.5÷(3.2+11.8)=27.4
 
Definition 1.1 dp
3.8×11-25.4=16.4
 
Definition 2.1 dp
51-0.5×5-40.5=8
 
Definition 3.1 dp
83×(20.5-19.8)÷41.5=1.4
 
Negatory 1.1 dn
2×5.6-10.5=0.7
 
Negatory 2.1 dn
-34÷8.5+0.6×30=14
 
 
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
 
 
Numerator 0.1 fp
4/9+2/9+1/6=5/6
 
Numerator 0.2 fp
29/5-(59/30-13/18)=41/9
 
Numerator 1.2 fp
5/7+169/28=27/4
 
Numerator 2.1 fp
4/5-2/5-3/10=1/10
 
Numerator 2.2 fp
39/5-29/5-82/75=68/75
 
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
 
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
 
Denominator 0.1 fn
1/5-(-4/5+1/6)=5/6
 
 
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
 
Denominator 3.1 fn
1/6-(1/6+1/3)=-1/3
 
Fragment 1.1 fp
38/9÷19/3=2/3
 
Fragment 1.2 fp
14/3×6/35=4/5
 
Fragment 2.1 fp
28/3×2/7×3/10=4/5
 
 
Reduction 1.2 fp
399/19=21/1
 
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
 
 
Ceil 0.2 in
60÷10 < -10×(-2)
 
Ceil 0.3 in
-37 > -920
 
Ceil 1.2 in
65 > -16
 
Ceil 1.3 in
268 > -563
 
Ceil 2.2 in
60-2 > 82-90
 
Ceil 2.3 in
860-7 > 134-553
 
Ceil 3.2 in
2×6 > 84÷12
 
Ceil 3.3 in
23×(-4) > -790÷2
 
Point 0.1 dp
13+55.3 > 45-1.4
 
Point 0.2 dp
40.02 < 48
 
Point 1.2 dp
79.15 > 74
 
Point 1.3 dp
44.273 < 99.665
 
Point 1.4 dp
613.151 > 449.867
 
Point 2.2 dp
43.7+20.3 > 8.43+54.76
 
Point 2.3 dp
4.1+74.517 > 6.283+11.717
 
Point 3.1 dp
14.5×6.8 > 27×0.5
 
Point 3.2 dp
2.6×2.4 < 80×0.69
 
Doted 0.1 dn
0.8×(-37.5) = -90÷3
 
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
 
Doted 1.1 dn
27 > -32.8
 
Doted 1.2 dn
76.46 < 97.17
 
Doted 2.1 dn
35.1-5 < 15.9+46.8
 
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
 
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
 
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
 
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
190/261 < 256/297
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
257/3-4543/303 > 22909/808-20613/808
 
Improper 3.1 fp
1/5÷1/2 < 2/3÷5/6
 
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
 
Descent 1.1 fn
-3/5 > -4/5
 
Descent 1.2 fn
161/60 < 239/35
 
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
 
 
Lineal 0.1 in
-x÷(-2)=-1
 
Lineal 0.2 in
-x÷12-3=0
 
 
Lineal 1.3 in
53+x=-400
 
Lineal 2.2 in
x×(-8)=-80
 
Lineal 2.3 in
x×31=806
 
Lineal 3.1 in
x-10=10
 
Lineal 3.2 in
67-70÷x=62
 
Lineal 4.1 in
-2×(x-7)=6
 
Lineal 4.2 in
2×(71+x)=-30
Rounding
 
 
Rounding 0.1 dp
15.7+14.2≈30
 
Rounding 0.2 dp
61.68×1.4≈86.4
 
Rounding 1.2 dp
90.51≈90.5
 
Rounding 1.3 dp
0.771≈0.77
 
Rounding 2.2 dp
42.03-2.91≈39.1
 
Rounding 2.3 dp
73.476-43.479≈30
 
Rounding 3.1 dp
6.3×2.9≈18
 
Rounding 3.2 dp
89.1÷9.48≈9.4
Language Exercises
 
 
Russian Vocabulary 2.4
к нкурент
 
 
Lexicon 2.3
f shing [piscatorial]
 
Infinitive 1.2
stick stuck       [stick]
 
Infinitive 3.1
unspin             [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-938+(643-435)=-730
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-414+598=184
 
Conversant 2.4 in
497+571-180=888
 
Conversant 2.5 in
-877844-284951+810000=-352795
 
Conversant 3.4 in
-229-(346+83)=-658
 
Conversant 3.5 in
583000-(856644-390000)=116356
 
Conversant 4.4 in
-(86+70)-(14+130)=-300
 
Conversant 4.5 in
-(100000+90000)-(249388-209388)=-230000
 
Divisor 1.5 ip
6938712÷396=17522
 
Intellect 0.2 in
361+10×21=571
 
Intellect 1.2 in
655-4×403=-957
 
Intellect 2.2 in
-86-6×2×2=-110
 
Intellect 3.2 in
317-(7+23)×25=-433
 
Logics 0.2 in
608÷(-2)÷(-56÷(-28))=-152
 
Logics 1.2 in
-14÷7=-2
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
-2×(-33×(-10))=-660
 
Logics 4.2 in
-720÷(-36÷3)÷15=4
 
Divisor_ENG 1.5 ip
6106903÷473=12911
Decimal Examples
 
 
Partitive 0.4 dp
575.157-111.661+378.05=841.546
 
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
375.736-(36+16.85)=322.886
 
Split 0.3 dn
63.09+23.56=86.65
 
Split 0.4 dn
-261.085+(-244.625+975.71)=470
 
Split 1.3 dn
78.2+11.8=90
 
Split 1.4 dn
504.613+266.737=771.35
 
Split 2.3 dn
-73.8-66+93.62=-46.18
 
Split 2.4 dn
161.485+456.497-517.982=100
 
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
 
Split 3.4 dn
-396.158-(388.251-24.409)=-760
 
Residual 1.2 dp
99÷12=8.25
 
Divisional 1.3 dp
0.018÷2=0.009
 
Denary 0.2 dp
3.75×0.04=0.15
 
Denary 0.3 dp
1.375×0.64×12.5=11
 
Denary 1.3 dp
1.25×2.4=3
 
Denary 2.3 dp
2.64÷1.32=2
 
Denary 3.3 dp
5.76÷1.152=5
 
Denary 4.2 dp
66×1.25×0.08=6.6
 
Denary 4.3 dp
35.64÷88÷1.35=0.3
 
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
 
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
 
Definition 0.2 dp
89.87+20×0.38=97.47
 
Definition 1.2 dp
90.68-1.6×12.5=70.68
 
Definition 1.3 dp
61.675+0.768÷0.64=62.875
 
Definition 2.2 dp
60.27+4.32÷8.64×11.14=65.84
 
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
 
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
 
Negatory 0.1 dn
48×0.1+1.6÷16=4.9
 
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
 
Negatory 1.2 dn
-41.86÷1.82+25.47=2.47
 
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
 
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
 
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
 
Negatory 3.1 dn
4÷(95.1-95.6)×0.3=-2.4
 
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
 
 
Fraction Examples
 
 
Numerator 0.3 fp
189/5-1162/65=259/13
 
Numerator 1.3 fp
44258/575-43918/575=68/115
 
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
 
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
 
Denominator 0.2 fn
1/6-13/6=-2/1
 
Denominator 1.2 fn
-299/30+3/2=-127/15
 
Denominator 1.3 fn
-134/19-22200/247=-23942/247
 
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
 
Denominator 3.2 fn
-98/25-(2/5-63/10)=99/50
 
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
 
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
 
Fragment 1.3 fp
1/3×3/5=1/5
 
Fragment 2.2 fp
2/3×69/5÷92/5=1/2
 
Fragment 2.3 fp
1/2×52/29×3/26=3/29
 
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
 
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
 
Reduction 1.3 fp
286/1027=22/79
 
Limited 0.1 fp
(3/5+7/5)÷8/3=3/4
 
Limited 1.2 fp
51/2÷85/6+443/40=103/8
 
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
 
Complete 0.1 fn
-1/6×21/4-15/8=-11/4
 
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
 
Complete 1.2 fn
76/7-10/11×555/14=-277/11
 
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
 
 
Ceil 0.4 in
-910000 < 380600
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
150146+91754 > 467574-711419
 
Ceil 3.4 in
-5×(-96) < 848000÷4
 
Point 0.3 dp
80.032 > 9.426
 
Point 0.4 dp
640.109-206.11 < 168.451+489.456
 
Point 2.4 dp
208.45+227.647 > 237.832-55.198
 
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
 
Point 3.4 dp
399.762÷7.403 < 306.45÷3
 
Doted 0.3 dn
88.103 > -88.098
 
Doted 1.3 dn
-46.331 < 52
 
Doted 1.4 dn
546.477 < 635.778
 
Doted 2.3 dn
70.664-35.885 > 1.631+33.128
 
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
 
Doted 3.3 dn
64.548÷1.793 > 77.58÷3.879
 
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
 
Improper 3.3 fp
197/409×58/197 < 1/2÷2/121
 
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
 
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
 
Descent 1.3 fn
-86480/869 < 3796/209
 
Descent 2.2 fn
5/1-284/65 > -1/3-1/15
 
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
-5-x×30=-815
 
Lineal 3.3 in
600÷x-25=-65
 
Lineal 4.3 in
(957-x)×266=-798
 
Rounding
 
 
Rounding 0.3 dp
89.911-10.411≈79.5
 
Rounding 3.3 dp
100×0.8≈80
Language Exercises
 
 
 
Russian Vocabulary 3.4
иллюм нация
 
 
 
Lexicon 1.4
h ndredth [centesimal]
 
Infinitive 2.2
shoot             [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-1687-30×91=-4417
 
Intellect 1.3 in
7765+96×742=78997
 
Intellect 2.3 in
-9273-1112×80÷40=-11497
 
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
 
Logics 0.3 in
-3520÷8=-440
 
Logics 1.3 in
-83×80=-6640
 
Logics 2.3 in
62×(-4)×(-40)=9920
 
Logics 3.3 in
(4×400)÷(-100)=-16
 
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
 
 
 
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
 
Denary 1.4 dp
2.75×0.004=0.011
 
Denary 2.4 dp
529.2÷282.24=1.875
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
1.28×250×0.125=40
 
Denary 5.4 dp
1.056÷(1.28×6.6)=0.125
 
Definition 0.3 dp
3.521×10+41.58÷2=56
 
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
 
Definition 1.4 dp
472.262-2.926÷4.18=471.562
 
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
 
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
 
Definition 3.4 dp
30×(4.894+5.312)×1.6=489.888
 
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
 
Negatory 0.4 dn
-1.14÷(-0.586-5.414)÷0.01=19
 
Negatory 1.4 dn
2.7×17.55-15.385=32
 
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
 
Negatory 3.3 dn
31.665+72.8÷(28.971-32.299)=9.79
 
Negatory 3.4 dn
-1.25÷(620.233-622.733)×50=25
 
Fraction Examples
 
 
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
 
Denominator 2.3 fn
-2041/38-1315/38+6/19=-88/1
 
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
 
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
 
Fragment 3.3 fp
13/58÷(19/2×1/19)=13/29
 
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
 
Limited 1.3 fp
1/2×35/2+313/4=87/1
 
Limited 2.2 fp
(1/5+3/10)÷13/20=10/13
 
Complete 0.2 fn
1/2×26/3+103/3=116/3
 
Complete 1.3 fn
-11/19×57/143-7/26=-1/2
 
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
 
 
Doted 0.4 dn
-330 > -800
 
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
 
Descent 0.3 fn
-1110/47÷(-3774/109) < -75/1×(-1063/825)
 
Descent 2.3 fn
-1/3-6299/66 < -181/10+488/5
 
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2+12x-11=0
 
 
 
 
 
Set 0.1 in
y+3x=-24
 
Set 1.1 in
y-x=-10
 
Set 2.1 in
-6y÷9x=1
 
Set 3.1 in
-1x-y=19
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
bl me [condemn]
 
Lexicon 2.4
mathem tics [maths]
 
Infinitive 1.3
test-fly       testflown [test-fly]
 
Infinitive 3.2
unhang             [unhang]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-600×20=-12000
 
Logics 1.4 in
500×(-4)=-2000
 
Logics 2.4 in
-34×(-152)×(-111)=-573648
 
Logics 3.4 in
-22800÷(-240÷12)=1140
 
Logics 4.4 in
-359040÷(-17)÷(-46800÷3900)=-1760
Fraction Examples
 
 
Limited 0.3 fp
(115/137-61/137)×313/9=1878/137
 
Limited 2.3 fp
353/846×(1146/17+452/17)=353/9
 
Complete 0.3 fn
-3117/298-15/149×217/30=-1667/149
 
Complete 2.3 fn
-20/21×(49/80+11/80)=-5/7
Equations
 
 
 
 
Quadratic 2.2 in
50x2+1500x=0
 
Quadratic 3.2 in
-x2-76x-960=0
 
System 0.2 ip
2x+56y=5174
 
 
System 2.2 ip
2x×5y=100000
 
System 3.2 ip
60x-20y=60
 
Set 0.2 in
7x-2y=-234
 
Set 1.2 in
-x-y=-26
 
Set 2.2 in
7x×3y=75978
 
Set 3.2 in
-5x+51y=4583
Language Exercises
 
 
 
 
Lexicon 2.5
anniv rsary [annual]
 
Infinitive 2.3
thrust             [thrust]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
x2+17x-390=0
 
Quadratic 1.3 in
231x2=1006236
 
Quadratic 2.3 in
950x2-148200x=0
 
Quadratic 3.3 in
3x2+288x+6045=0
 
System 0.3 ip
4y×x=130680
 
System 2.3 ip
14x÷3y=616
 
System 3.3 ip
150x+131y=145362
 
Set 0.3 in
18480y÷88x=525
 
Set 1.3 in
-y+x=590
 
Set 2.3 in
-2x×34y=707472
 
Set 3.3 in
-32y-4x=27116
Language Exercises
 
 
Infinitive 3.3
run             [run]

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