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
 
 
 
 
 
 
 
Beginner 5.1 ip
10-(7+2)=1
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
199+19=218
 
Beginner 2.4 ip
810-176=634
 
Beginner 3.4 ip
123+260=383
 
Beginner 4.3 ip
38+62-13=87
 
Beginner 5.2 ip
16-(1+5)=10
 
 
 
 
 
 
Step-by-step Tasks
 
Comparisons
 
 
 
 
Natural 2.2 ip
80-0 > 2+54
 
Natural 3.1 ip
3÷3 < 8÷4
Equations
 
 
 
Language Exercises
 
9+
Recommended for children from nine years
Integer Examples
 
 
 
Beginner 4.4 ip
781-388-341=52
 
Beginner 5.3 ip
86-(84-28)=30
 
 
 
 
 
Cognizant 4.1 ip
48÷8×6=36
 
Cognizant 5.1 ip
3×(4×2)=24
 
Cognizant 6.1 ip
7×(2×3)×2=84
 
 
Column 1.2 ip
4320+5659=9979
 
Column 2.2 ip
3693-2393=1300
 
Column 3.2 ip
6218-3367=2851
 
 
 
Numeracy 1.1 ip
46×3-90=48
 
Numeracy 2.1 ip
28+16×4÷2=60
 
 
Step-by-step Tasks
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Division #23
88÷11=8
 
Division #24
54÷3=18
 
 
Division #26
80÷4=20
 
Division #27
70÷5=14
 
 
Division #29
64÷4=16
 
Division #30
100÷10=10
 
 
 
 
Division #34
104÷8=13
 
 
Division #36
108÷9=12
 
Division #37
98÷7=14
 
Division #38
420÷20=21
 
 
Comparisons
 
 
Natural 0.2 ip
3×3 < 72÷3
 
 
Natural 2.3 ip
272+136 < 645+205
 
Natural 3.2 ip
60÷5 < 100÷2
Equations
 
 
 
 
Language Exercises
 
10+
Recommended for children from ten years
Integer Examples
 
 
Beginner 0.4 ip
570-23+355=902
 
Beginner 1.5 ip
189095+156767=345862
 
Beginner 2.5 ip
965550-473876=491674
 
Beginner 3.5 ip
168275+157510=325785
 
Beginner 5.4 ip
958-(34+243)=681
 
 
Cognizant 1.3 ip
64×125=8000
 
Cognizant 2.3 ip
8800÷88=100
 
 
Cognizant 4.2 ip
400÷4÷2=50
 
Cognizant 5.2 ip
(360÷40)×16=144
 
Cognizant 6.2 ip
288÷(18÷3)÷6=8
 
Remainder 1.2 ip
100÷17=5(15)
 
Column 1.3 ip
120000+352877=472877
 
Column 2.3 ip
503251-320000=183251
 
Column 3.3 ip
497867-443120=54747
 
Multiplier 1.2 ip
7925×4=31700
 
Multiplier 1.3 ip
3350×60=201000
 
 
Numeracy 0.1 ip
48×2-44÷4=85
 
Numeracy 1.2 ip
880÷8+426=536
 
Numeracy 2.2 ip
274-46×2÷23=270
 
Numeracy 3.1 ip
51+24÷(2+22)=52
 
 
Comparisons
 
 
Natural 0.3 ip
740-15 > 869-389
 
Natural 1.4 ip
870157 > 40000
 
Natural 2.4 ip
895326+79974 > 602031-124272
 
Natural 3.3 ip
5×4 < 460÷2
Equations
 
 
 
Linear 1.3 ip
917-x=137
 
 
Linear 3.2 ip
9+2×x=93
 
Linear 4.1 ip
2×(1+x)=10
Rounding
 
 
Round 1.1 ip
256≈26
 
Round 1.2 ip
6281≈63
 
Round 2.1 ip
830-19≈81
Language Exercises
 
 
 
 
 
Lexicon 1.2
w b [network]
 
Lexicon 2.2
l kely [probably]
 
Infinitive 1.1
outleap outleapt       [outleap]
11+
Recommended for children from the age of eleven
Integer Examples
 
 
Beginner 0.5 ip
909180+83420=992600
 
Beginner 4.5 ip
170000+63167+23111=256278
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
-402102-388930=-791032
 
 
Cognizant 0.3 ip
(72÷18)×14=56
 
Cognizant 4.3 ip
4680÷78×24=1440
 
Cognizant 5.3 ip
(1458÷27)÷2=27
 
Cognizant 6.3 ip
126÷(9÷3)×37=1554
 
Remainder 1.3 ip
680÷90=7(50)
 
Multiplier 1.4 ip
85000×103=8755000
 
Divisor 1.3 ip
7479÷27=277
 
Numeracy 0.2 ip
277×5-716=669
 
Numeracy 0.3 ip
1100×63-312÷78=69296
 
Numeracy 1.3 ip
1633+1530÷85=1651
 
Numeracy 2.3 ip
3528+81×32×16=45000
 
Numeracy 3.2 ip
84+(576-76)÷4=209
 
Numeracy 3.3 ip
676-69÷(3212-3143)=675
 
 
Remainder_ENG 1.3 ip
236÷22=10(16)
Decimal Examples
 
 
 
Partitive 0.2 dp
51.9+(12+34.5)=98.4
 
Partitive 1.1 dp
9.6-2.5=7.1
 
Partitive 1.2 dp
23.4+21.6=45
 
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
9.3-(8+0.9)=0.4
 
Partitive 3.2 dp
85-(30.1+7.8)=47.1
 
Divisional 1.1 dp
85.8÷1.3=66
 
Denary 1.1 dp
8.4×4.5=37.8
 
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
9/10-3/10=3/5
Comparisons
 
 
Natural 0.4 ip
12×200 < 330981÷7
 
Natural 3.4 ip
2691×86 > 2×1274
 
 
 
Ceil 2.1 in
-4+10 > 2-8
 
Ceil 3.1 in
-4×2 < -3×2
 
Point 1.1 dp
11.6 < 65.2
 
Point 2.1 dp
18.6+45 > 14.9+42.9
 
 
Improper 1.2 fp
20/37 < 661/74
 
Improper 2.1 fp
7/10-1/10 > 5/6-1/3
Equations
 
 
 
Linear 0.3 ip
93×x=651
 
Linear 3.3 ip
180-720÷x=0
 
Linear 4.2 ip
(55-x)×14=70
 
Linear 4.3 ip
120×(x-864)=720
 
 
Rounding
 
 
 
Rounding 2.1 dp
15.3+24.9≈40
 
Round 0.1 ip
15×41≈62
 
Round 0.2 ip
4126≈41
 
Round 0.3 ip
959576÷472≈2
 
Round 1.3 ip
608331≈608
 
Round 2.2 ip
215+852≈11
 
Round 2.3 ip
583433-140905≈443
 
Round 3.1 ip
988÷13≈8
 
Round 3.2 ip
1123×3≈34
 
Round 3.3 ip
933100÷100≈9
Language Exercises
 
 
Russian Vocabulary 1.4
ор ентация
 
 
 
 
 
Lexicon 1.3
tr ding [commerce]
 
Infinitive 2.1
partake             [partake]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-(1-0)-(1-7)=5
 
 
 
 
 
Conversant 2.3 in
16-87+11=-60
 
 
Conversant 3.2 in
-8-(1+4)=-13
 
Conversant 3.3 in
33+(-37+1)=-3
 
Conversant 4.1 in
(0+6)-(10+0)=-4
 
Conversant 4.2 in
(14+12)+(14-20)=20
 
Conversant 4.3 in
(21-93)+(18+76)=22
 
Cognizant 0.4 ip
742×677=502334
 
Cognizant 1.4 ip
738×345=254610
 
Cognizant 2.4 ip
214200÷357=600
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
74256÷272×717=195741
 
Cognizant 5.4 ip
216÷(18×2)=6
 
Cognizant 6.4 ip
109×(336÷8)÷14=327
 
Multiplier 1.5 ip
5268×7432=39151776
 
Divisor 1.4 ip
60667÷19=3193
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
-32-2×19=-70
 
Intellect 2.1 in
-4×2+2×49=90
 
Intellect 3.1 in
65+21÷(26-5)=66
 
Logics 0.1 in
22÷(-2)×9=-99
 
 
Logics 2.1 in
45÷(-5)×9=-81
 
Logics 3.1 in
(-5×(-12))÷(-10)=-6
 
Logics 4.1 in
20÷(-2×(-2))×(-8)=-40
 
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
 
 
Partitive 0.3 dp
77.35+1.66+5=84.01
 
Partitive 1.3 dp
8.6+48.12=56.72
 
Partitive 2.3 dp
12.65+34.4+40.93=87.98
 
Partitive 3.3 dp
84.01-(77.52-25.51)=32
 
Split 0.1 dn
-2-(-7-3.4)=8.4
 
Split 0.2 dn
-18+5.6+82.2=69.8
 
Split 1.1 dn
-8.9-1.1=-10
 
Split 1.2 dn
-70.3+69.8=-0.5
 
Split 2.1 dn
-1.5-1.5-7=-10
 
Split 2.2 dn
33.7+11-68.6=-23.9
 
Split 3.1 dn
7.3-(9-6)=4.3
 
Split 3.2 dn
-40.3-(8.8+4)=-53.1
 
Residual 1.1 dp
34÷10=3.4
 
Divisional 1.2 dp
39.78÷2.25=17.68
 
Denary 0.1 dp
0.5×5.2÷2=1.3
 
Denary 1.2 dp
2×1.71=3.42
 
Denary 2.2 dp
28.44÷0.79=36
 
Denary 3.2 dp
6.84÷7.2=0.95
 
Denary 4.1 dp
1÷2.5×52=20.8
 
Denary 5.1 dp
(0.6×4)÷4.8=0.5
 
Definition 0.1 dp
63.8-1.6×2.5÷5=63
 
Definition 1.1 dp
96÷3.2-9.3=20.7
 
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
 
Definition 3.1 dp
50.2+(91-89.5)÷3=50.7
 
Negatory 1.1 dn
-99+1.9×24=-53.4
 
Negatory 2.1 dn
22+32÷2.5×5=86
 
 
Fraction Examples
 
 
Numerator 0.1 fp
2/5-1/5=1/5
 
Numerator 0.2 fp
8/13+5/13+17/22=39/22
 
Numerator 1.2 fp
157/18-83/14=176/63
 
Numerator 2.1 fp
3/10-1/10+3/10=1/2
 
Numerator 2.2 fp
99/19-23/19-17/19=59/19
 
Numerator 3.1 fp
1/4+(1/8+5/8)=1/1
 
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
 
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
 
Denominator 1.1 fn
-4/5+7/10=-1/10
 
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
 
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
 
Fragment 1.1 fp
6/5×10/3=4/1
 
Fragment 1.2 fp
92/7÷460/21=3/5
 
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
 
Reduction 1.1 fp
132/30=22/5
 
Reduction 1.2 fp
480/16=30/1
 
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
 
 
Ceil 0.2 in
1+0 > 2-63
 
Ceil 0.3 in
575+97 > -819+132
 
Ceil 1.2 in
42 > -21
 
Ceil 1.3 in
-410 < 1000
 
Ceil 2.2 in
91-2 > -9-5
 
Ceil 2.3 in
-726+210 < 848-597
 
Ceil 3.2 in
-11×8 < 96÷(-2)
 
Ceil 3.3 in
-36×(-4) = 720÷5
 
Point 0.1 dp
0.5×8 = 27.2÷6.8
 
Point 0.2 dp
34.13+15.87 < 19.71+53.11
 
Point 1.2 dp
50 > 42.67
 
Point 1.3 dp
70.202 > 40
 
Point 1.4 dp
316.199 < 316.219
 
Point 2.2 dp
1.2+85.77 > 93.05-6.1
 
Point 2.3 dp
87.041-0.599 > 0.046+0.028
 
Point 3.1 dp
67.6÷4 < 73.1÷4.3
 
Point 3.2 dp
29.9÷10 < 18.9÷1.26
 
Doted 0.1 dn
-30.5 > -54.6
 
Doted 0.2 dn
-66.38+4.06 < 48.74-8.78
 
Doted 1.1 dn
-8.8 < 8.9
 
Doted 1.2 dn
44 > -43.4
 
Doted 2.1 dn
35.1-5 < 15.9+46.8
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
 
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
 
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
 
Improper 0.2 fp
43/11-21/11 < 5/4+7/4
 
Improper 1.3 fp
14/1 < 85/1
 
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
 
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
 
Improper 3.1 fp
1/2×1/3 < 1/2×4/9
 
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
 
Descent 1.1 fn
-2/7 < 2/7
 
Descent 1.2 fn
12/13 > 1/2
 
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
 
 
Lineal 0.1 in
(x-4)×3=0
 
Lineal 0.2 in
x×2+68=-10
 
Lineal 1.2 in
-x-52=-30
 
Lineal 1.3 in
-x-561=409
 
Lineal 2.2 in
-2×(-x)=62
 
Lineal 2.3 in
600÷x=-40
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
(-x+6)×3=-3
 
Lineal 4.2 in
6×(41-x)=-54
Rounding
 
 
 
Rounding 0.2 dp
19.91÷5≈4
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
24.995≈25
 
Rounding 2.2 dp
54.99-15.71≈39.3
 
Rounding 2.3 dp
13.293+4.325≈17.62
 
Rounding 3.1 dp
83÷9.1≈9
 
Rounding 3.2 dp
33.01×2.35≈77.6
Language Exercises
 
 
 
 
Lexicon 2.3
al rming [anxious]
 
Infinitive 1.2
unwind unwound       [unwind]
 
Infinitive 3.1
dream             [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-434-728+612=-550
 
Conversant 0.5 in
-340000+470000-406000=-276000
 
Conversant 1.4 in
-493+602=109
 
Conversant 2.4 in
-150-180-404=-734
 
Conversant 2.5 in
548078-39883+61370=569565
 
Conversant 3.4 in
-229-(346+83)=-658
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
-(288+616)-(151-335)=-720
 
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
 
Divisor 1.5 ip
9268914÷402=23057
 
Intellect 0.2 in
-133-4×9×23=-961
 
Intellect 1.2 in
655-4×403=-957
 
Intellect 2.2 in
-319+377×3-572=240
 
Intellect 3.2 in
153-(510-474)÷4=144
 
Logics 0.2 in
-800÷(-5)÷4=40
 
 
Logics 2.2 in
-36×(-2)×9=648
 
Logics 3.2 in
(-770÷2)÷5=-77
 
Logics 4.2 in
-720÷(-36÷3)÷15=4
 
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
 
 
Partitive 0.4 dp
0+(592.791-78.683)=514.108
 
Partitive 1.4 dp
279.471+130.2=409.671
 
Partitive 2.4 dp
246.005+454.479+249.2=949.684
 
Partitive 3.4 dp
237.038+(265.417+175.545)=678
 
Split 0.3 dn
12+46=58
 
Split 0.4 dn
-71-489.921=-560.921
 
Split 1.3 dn
15.99-2.66=13.33
 
Split 1.4 dn
-253.728-247.706=-501.434
 
Split 2.3 dn
-25.75-4-7.92=-37.67
 
Split 2.4 dn
-600+543.786+24.469=-31.745
 
Split 3.3 dn
20+(79.73-97.84)=1.89
 
Split 3.4 dn
-160-(170.28+536.543)=-866.823
 
Residual 1.2 dp
50÷20=2.5
 
Divisional 1.3 dp
10.368÷32=0.324
 
Denary 0.2 dp
1.32÷44÷0.6=0.05
 
Denary 0.3 dp
4.86÷5.625=0.864
 
Denary 1.3 dp
0.8×54.675=43.74
 
Denary 2.3 dp
24.48÷3.2=7.65
 
Denary 3.3 dp
18×0.8=14.4
 
Denary 4.2 dp
4÷0.4×1.6=16
 
Denary 4.3 dp
3.9÷2.6×65=97.5
 
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
 
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
 
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
 
Definition 1.2 dp
30×1.12-13.33=20.27
 
Definition 1.3 dp
1.2×0.005+84.66=84.666
 
Definition 2.2 dp
39+3.6÷0.75+52.2=96
 
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
 
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
 
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
 
Negatory 0.2 dn
25.6÷64-69.71=-69.31
 
Negatory 1.2 dn
30.4-8.16÷0.4=10
 
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
 
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
 
Negatory 2.3 dn
81.099+90.72÷2.835-87.099=26
 
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
 
Negatory 3.2 dn
88.57+62.4÷(45.46-50.66)=76.57
 
 
Fraction Examples
 
 
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
 
Numerator 1.3 fp
3782/351+9647/351=1033/27
 
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
 
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
 
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
 
Denominator 1.2 fn
29/5-28/5=1/5
 
Denominator 1.3 fn
-4959/115-642/23=-8169/115
 
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
 
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
 
Fragment 0.1 fp
1/2÷1/9÷5/4=18/5
 
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
 
Fragment 1.3 fp
61/2÷244/77=77/8
 
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
 
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
 
Fragment 3.1 fp
1/2×(9/2÷27/4)=1/3
 
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
 
Reduction 1.3 fp
2024/46=44/1
 
Limited 0.1 fp
5/9÷20/3+1/6=1/4
 
Limited 1.2 fp
11/13×195/44+235/46=815/92
 
Limited 2.1 fp
(1/3+1/3)×1/2=1/3
 
Complete 0.1 fn
-1/9+14/3×15/7=89/9
 
Complete 1.1 fn
15/2÷60/7+61/8=17/2
 
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
 
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
 
 
Ceil 0.4 in
-534091-302253 < 70395+49771
 
Ceil 1.4 in
-809034 < 652031
 
Ceil 2.4 in
-410000-51370 > -287597-173825
 
Ceil 3.4 in
-2×8 > 168000÷(-4)
 
Point 0.3 dp
2.718 < 2.731
 
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
0.75×29.44 < 18.785×4.8
 
Point 3.4 dp
280.824÷4 < 561.664÷8
 
Doted 0.3 dn
31.482+33.017 > -55.968+57.937
 
Doted 1.3 dn
-15 < 100
 
Doted 1.4 dn
-277.04 < -225.364
 
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
 
Doted 2.4 dn
564.555+314.218 > 123.282-414.587
 
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
 
Improper 0.3 fp
167/2÷835/618 > 15/2÷30/247
 
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
 
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
 
Descent 0.2 fn
-5/1 < -7/8
 
Descent 1.3 fn
-11384/127 < 623/9
 
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
 
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
 
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
 
 
Lineal 0.3 in
979+x÷5=951
 
Lineal 3.3 in
5-36×x=365
 
Lineal 4.3 in
(-x-220)×32=320
 
Rounding
 
 
Rounding 0.3 dp
80÷19.708≈4.06
 
Rounding 3.3 dp
70÷51.916≈1.35
Language Exercises
 
 
 
 
 
 
Lexicon 1.4
b havior [conduct]
 
Infinitive 2.2
bid             [bid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-1687-30×91=-4417
 
Intellect 1.3 in
-2772÷18-5199=-5353
 
Intellect 2.3 in
3984-3780÷270+3513=7483
 
Intellect 3.3 in
8666-(90+979)×30=-23404
 
Logics 0.3 in
25×(-19)=-475
 
Logics 1.3 in
8712÷36=242
 
Logics 2.3 in
-4788÷(-2)÷(-2)=-1197
 
Logics 3.3 in
(50÷(-25))×(-250)=500
 
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
 
 
 
Denary 0.4 dp
115.2÷384=0.3
 
Denary 1.4 dp
57×0.032=1.824
 
Denary 2.4 dp
9.072÷0.648=14
 
Denary 3.4 dp
0.52÷1.04=0.5
 
Denary 4.4 dp
1.7×64÷68=1.6
 
Denary 5.4 dp
(143.208÷3.4)÷405=0.104
 
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
 
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
 
Definition 1.4 dp
309.816+1.84÷10=310
 
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
 
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
 
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
 
Negatory 0.3 dn
50.5-(0.652+0.158)×50=10
 
Negatory 0.4 dn
329-437.4÷0.6=-400
 
Negatory 1.4 dn
-2.16×100-577.811=-793.811
 
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
 
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
 
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
 
Fraction Examples
 
 
Denominator 0.3 fn
-8046/205+2427/410-383/82=-38/1
 
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
 
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
 
Fragment 0.3 fp
27/2×1/27×2/3=1/3
 
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
 
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
 
Limited 1.3 fp
152/3-12/13×133/18=570/13
 
Limited 2.2 fp
(88/3-1/3)×14/29=14/1
 
Complete 0.2 fn
413/30+32/5×25/48=171/10
 
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
 
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
 
 
Doted 0.4 dn
-1.728×15 < -145.348÷(-10.382)
 
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
 
Descent 0.3 fn
-45457/472 < -807/10
 
Descent 2.3 fn
-79743/989+1097/43 < 467/23+361/230
 
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
 
 
 
 
 
 
 
 
System 2.1 ip
90y÷10x=30
 
 
Set 0.1 in
y+3x=-24
 
 
Set 2.1 in
-144x÷4y=-108
 
Set 3.1 in
-5y+5x=0
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
surpri ingly [amazingly]
 
Lexicon 2.4
anal se [decompose]
 
Infinitive 1.3
win won       [win]
 
Infinitive 3.2
            fought [fight]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
 
 
Logics 0.4 in
-975744÷44÷(12×22)=-84
 
Logics 1.4 in
243×426=103518
 
Logics 2.4 in
-230400÷96÷(-75)=32
 
Logics 3.4 in
1000÷(2000÷20)=10
 
Logics 4.4 in
-288000÷(100×(-40))×875=63000
Fraction Examples
 
 
Limited 0.3 fp
(115/137-61/137)×313/9=1878/137
 
Limited 2.3 fp
(211/650+359/650)×134/285=134/325
 
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
 
Complete 2.3 fn
-351/908÷(1/10+2/5)=-351/454
Equations
 
 
 
 
Quadratic 2.2 in
-61x2-1220x=0
 
Quadratic 3.2 in
x2-56x+559=0
 
System 0.2 ip
20x×2y=40000
 
 
System 2.2 ip
y×9x=45000
 
System 3.2 ip
55y+44x=6490
 
Set 0.2 in
-y-x=-4
 
Set 1.2 in
-y-x=-4
 
Set 2.2 in
828x÷12y=-46
 
Set 3.2 in
-4y-69x=-2780
Language Exercises
 
 
 
 
Lexicon 2.5
pron nciation [utterance]
 
Infinitive 2.3
overdraw             [overdraw]
16+
Recommended for adolescents from the age of fifteen
Equations
 
 
Quadratic 0.3 in
180x2=648000
 
Quadratic 1.3 in
231x2=1006236
 
Quadratic 2.3 in
950x2-148200x=0
 
Quadratic 3.3 in
2x2-892x+94458=0
 
System 0.3 ip
132x×6y=506880
 
System 2.3 ip
32x×11y=5896000
 
System 3.3 ip
48y-x=43360
 
Set 0.3 in
108y-930x=183060
 
Set 1.3 in
-y+x=101
 
Set 2.3 in
-10x×4y=-3149280
 
Set 3.3 in
821y+122x=-644484
Language Exercises
 
 
Infinitive 3.3
sight-read             [sight-read]

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