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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.

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
479830-(650000-640891)=470721
 
 
Conversant 1.5 in
522813-313961=208852
 
 
Cognizant 0.3 ip
(80×125)÷5=2000
 
Cognizant 4.3 ip
3584÷8÷2=224
 
Cognizant 5.3 ip
(100×18)÷24=75
 
Cognizant 6.3 ip
126÷(9÷3)×37=1554
 
Remainder 1.3 ip
436÷67=6(34)
 
Multiplier 1.4 ip
11125×800=8900000
 
Divisor 1.3 ip
7033÷13=541
 
Numeracy 0.2 ip
137×2+60÷2=304
 
Numeracy 0.3 ip
4046+46×438=24194
 
Numeracy 1.3 ip
3200+44×140=9360
 
Numeracy 2.3 ip
695+2000÷16÷25=700
 
Numeracy 3.2 ip
(22+18)×(14+6)=800
 
Numeracy 3.3 ip
52+(50+54)×12=1300
Decimal Examples
 
 
Partitive 0.1 dp
0+(4.7+0.8)=5.5
 
Partitive 0.2 dp
70.2-39.4+6=36.8
 
 
Partitive 1.2 dp
2.2+14=16.2
 
Partitive 2.1 dp
1.7+1.5+1.4=4.6
 
Partitive 2.2 dp
91.9-40-49.9=2
 
Partitive 3.1 dp
5.7+(4-4)=5.7
 
Partitive 3.2 dp
12.2+(39+3.6)=54.8
 
Divisional 1.1 dp
19.8÷1.8=11
 
Denary 1.1 dp
2×3.3=6.6
 
Denary 2.1 dp
31.6÷4=7.9
 
Denary 3.1 dp
38.4÷4=9.6
Fraction Examples
 
 
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
 
 
Natural 0.4 ip
18469+181531 > 15000+34092
 
Natural 3.4 ip
512000÷256 < 906696÷28
 
Ceil 0.1 in
-2-0 > -2-3
 
 
Ceil 2.1 in
-2-6 > -4-5
 
Ceil 3.1 in
-8÷2 < -4÷2
 
Point 1.1 dp
91.5 > 17.7
 
Point 2.1 dp
0.6+4.5 < 68.4-63.1
 
 
Improper 1.2 fp
445/68 < 7/1
 
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
 
 
 
Linear 0.3 ip
x×90=630
 
Linear 3.3 ip
459÷x+539=590
 
Linear 4.2 ip
(x-94)×16=96
 
Linear 4.3 ip
714÷(x+1)=51
 
 
Rounding
 
 
 
Rounding 2.1 dp
15.3+24.9≈40
 
Round 0.1 ip
111+141≈25
 
Round 0.2 ip
4×2234≈89
 
Round 0.3 ip
147857≈148
 
Round 1.3 ip
402442≈402
 
Round 2.2 ip
5800-2094≈37
 
Round 2.3 ip
476428-337943≈138
 
Round 3.1 ip
228÷3≈8
 
Round 3.2 ip
87×13≈11
 
Round 3.3 ip
3238×200≈648
Language Exercises
 
 
Russian Vocabulary 1.4
альб трос
 
 
 
 
 
Lexicon 1.3
s ream [course]
 
Infinitive 2.1
quick-freeze             [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-7+14-37=-30
 
 
 
Conversant 3.3 in
-80-(-50-50)=20
 
Conversant 4.1 in
-(0+5)-(7-4)=-8
 
Conversant 4.2 in
(19-17)-(1+13)=-12
 
Conversant 4.3 in
-(100-100)-(49-19)=-30
 
Cognizant 0.4 ip
7560÷42=180
 
Cognizant 1.4 ip
550×456=250800
 
Cognizant 2.4 ip
430000÷200=2150
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
659×80×10=527200
 
Cognizant 5.4 ip
(200÷4)×1000=50000
 
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
 
Multiplier 1.5 ip
5268×7432=39151776
 
Divisor 1.4 ip
7500÷25=300
 
Intellect 0.1 in
90÷2-76=-31
 
Intellect 1.1 in
16×3-90=-42
 
Intellect 2.1 in
7×10+72÷9=78
 
Intellect 3.1 in
65-(-3-2)×3=80
 
Logics 0.1 in
-66÷(-36÷6)×5=55
 
Logics 1.1 in
44÷(-2)=-22
 
Logics 2.1 in
45÷(-5)×9=-81
 
Logics 3.1 in
(-80÷2)÷(-4)=10
 
Logics 4.1 in
-5×(6÷3)×9=-90
Decimal Examples
 
 
Partitive 0.3 dp
64.5+15.95=80.45
 
Partitive 1.3 dp
72+22.88=94.88
 
Partitive 2.3 dp
70-58+33=45
 
Partitive 3.3 dp
65-(50+10.22)=4.78
 
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
 
Split 0.2 dn
-65.5-19.4=-84.9
 
Split 1.1 dn
-6+5.5=-0.5
 
 
Split 2.1 dn
-1.9+0.6+6.3=5
 
Split 2.2 dn
2.4-0.1-80.3=-78
 
Split 3.1 dn
-2.2+(-4.9-2.8)=-9.9
 
Split 3.2 dn
-17.4-(0.6-30.2)=12.2
 
Residual 1.1 dp
34÷10=3.4
 
Divisional 1.2 dp
10.08÷0.35=28.8
 
Denary 0.1 dp
5×2.3=11.5
 
Denary 1.2 dp
27×0.2=5.4
 
Denary 2.2 dp
10.64÷19=0.56
 
Denary 3.2 dp
8×0.27=2.16
 
Denary 4.1 dp
9×2.8÷7.2=3.5
 
Denary 5.1 dp
(9×0.1)÷3=0.3
 
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
 
Definition 1.1 dp
96÷3.2-9.3=20.7
 
Definition 2.1 dp
20.8+1.8÷9×4=21.6
 
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
 
Negatory 1.1 dn
2.1+51.3÷19=4.8
 
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Fraction Examples
 
 
Numerator 0.1 fp
8/9-1/9-1/3=4/9
 
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
 
Numerator 1.2 fp
189/29-182/29=7/29
 
Numerator 2.1 fp
1/3-1/9+4/9=2/3
 
Numerator 2.2 fp
49/8-409/72+59/9=7/1
 
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
 
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
 
Denominator 0.1 fn
-8/9+1/9=-7/9
 
Denominator 1.1 fn
-3/10-1/2=-4/5
 
Denominator 2.1 fn
2/3+1/3-6/7=1/7
 
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
 
Fragment 1.1 fp
4/3÷8/3=1/2
 
Fragment 1.2 fp
92/7÷460/21=3/5
 
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
 
 
Reduction 1.2 fp
9423/189=349/7
 
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
 
 
 
Ceil 0.3 in
38×(-9) < 680÷4
 
 
Ceil 1.3 in
-139 = -139
 
Ceil 2.2 in
63+36 > -50-32
 
Ceil 2.3 in
860-7 > 134-553
 
Ceil 3.2 in
-2×33 < -84÷3
 
Ceil 3.3 in
2×200 > -722÷(-2)
 
Point 0.1 dp
73.6-2.7 > 14.2+56.2
 
Point 0.2 dp
56.88-4.25 < 1.7+50.94
 
Point 1.2 dp
77.77 > 77.76
 
Point 1.3 dp
67.563 < 67.566
 
Point 1.4 dp
811.262 > 811.242
 
Point 2.2 dp
99.53-2.7 < 99.04-2.19
 
Point 2.3 dp
95.598-3.355 = 99.734-7.491
 
Point 3.1 dp
48÷8 > 0.5×8
 
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
 
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
 
Doted 0.2 dn
-15.77+95 < 36+64
 
Doted 1.1 dn
-100 < -92.7
 
Doted 1.2 dn
-63.97 < 63.96
 
Doted 2.1 dn
-1.5+100 > 62.2+3.8
 
Doted 2.2 dn
-79.74+53 < 79.43+3.57
 
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
 
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
 
Improper 0.1 fp
3/4÷7/8 > 1/2×2/5
 
Improper 0.2 fp
227/79 > 1/2
 
Improper 1.3 fp
132/361 < 8109/722
 
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
 
Improper 2.3 fp
257/3-4543/303 > 22909/808-20613/808
 
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
 
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
 
Descent 1.1 fn
9/10 > 5/6
 
Descent 1.2 fn
-253/30 < -129/16
 
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
 
 
 
 
Lineal 1.2 in
-97+x=-37
 
 
 
Lineal 2.3 in
x÷3=-291
 
Lineal 3.1 in
-x÷10-9=-8
 
Lineal 3.2 in
-100÷x-10=0
 
Lineal 4.1 in
-4×(3-x)=4
 
Lineal 4.2 in
44÷(x-62)=-11
Rounding
 
 
Rounding 0.1 dp
75.8-1.3≈75
 
Rounding 0.2 dp
65.17≈65.2
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
24.999≈25
 
Rounding 2.2 dp
52.06+0.95≈53
 
Rounding 2.3 dp
94.006-31.514≈62.49
 
Rounding 3.1 dp
21.5×1.5≈32
 
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
 
 
Russian Vocabulary 2.4
к нкурент
 
 
Lexicon 2.3
some ne [person]
 
Infinitive 1.2
leap leapt       [leap]
 
Infinitive 3.1
daydream             [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-648+838=190
 
Conversant 0.5 in
-515475+(967227-305954)=145798
 
 
Conversant 2.4 in
310-770+758=298
 
Conversant 2.5 in
-39565-759256-36212=-835033
 
Conversant 3.4 in
806+(-803-181)=-178
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
-(86+70)-(14+130)=-300
 
Conversant 4.5 in
-(374359-5757)+(660000+443820)=735218
 
Divisor 1.5 ip
60000÷600=100
 
Intellect 0.2 in
99-247÷19=86
 
Intellect 1.2 in
65×18-700=470
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
-302-4÷(2+2)=-303
 
Logics 0.2 in
-780÷(-2×3)=130
 
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
(20×(-50))÷(-25)=40
 
Logics 4.2 in
-900÷3÷(-5×5)=12
Decimal Examples
 
 
Partitive 0.4 dp
565.197+232.946=798.143
 
Partitive 1.4 dp
279.471+130.2=409.671
 
Partitive 2.4 dp
590-111.573-328.427=150
 
Partitive 3.4 dp
423.627+(374.827-30)=768.454
 
Split 0.3 dn
-91+16=-75
 
Split 0.4 dn
-261.085+(-244.625+975.71)=470
 
Split 1.3 dn
-95.63+65.28=-30.35
 
Split 1.4 dn
344.568-375.72=-31.152
 
Split 2.3 dn
-35.09+20.59-79.31=-93.81
 
Split 2.4 dn
-71.286+418.958-603.672=-256
 
Split 3.3 dn
-1.78-(12.26+28.06)=-42.1
 
Split 3.4 dn
-160-(170.28+536.543)=-866.823
 
 
Divisional 1.3 dp
0.072÷0.1=0.72
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
(1.536÷38.4)÷1.25=0.032
 
Denary 1.3 dp
6.075×5.12=31.104
 
Denary 2.3 dp
10.368÷0.648=16
 
Denary 3.3 dp
10.35×5.28=54.648
 
Denary 4.2 dp
43.2÷24÷0.5=3.6
 
Denary 4.3 dp
18×2.8×0.115=5.796
 
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
 
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
 
Definition 0.2 dp
99.8+19.6÷98=100
 
Definition 1.2 dp
0.5×5+45.5=48
 
Definition 1.3 dp
1.445÷10.625+61.473=61.609
 
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
 
Definition 2.3 dp
51.038-48×0.6-11.004=11.234
 
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
 
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
 
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
 
Negatory 1.2 dn
27.97+24.64÷8=31.05
 
Negatory 1.3 dn
-84.456÷93.84+62.813=61.913
 
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
 
Negatory 2.3 dn
70+66÷3.52÷93.75=70.2
 
Negatory 3.1 dn
-41.4-81÷(6.4+9.8)=-46.4
 
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
Fraction Examples
 
 
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
 
Numerator 1.3 fp
1/42+15943/371=13673/318
 
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
 
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
 
Denominator 0.2 fn
8/23+77/92-39/46=31/92
 
Denominator 1.2 fn
14/5-143/60=5/12
 
Denominator 1.3 fn
18/19-1253/19=-65/1
 
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
 
Denominator 3.2 fn
-6/13-(-14/39-4/39)=0/1
 
Fragment 0.1 fp
4/3×3/8×9/2=9/4
 
Fragment 0.2 fp
1/19×19/3÷1/2=2/3
 
Fragment 1.3 fp
7/10×25/4=35/8
 
Fragment 2.2 fp
21/2÷35/2÷3/40=8/1
 
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
 
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
 
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
 
Reduction 1.3 fp
114/1178=3/31
 
Limited 0.1 fp
17/2-2/3×37/4=7/3
 
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
 
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
 
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
 
Complete 1.1 fn
61/8-15/4÷5/9=7/8
 
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
 
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
 
 
Ceil 0.4 in
-910000 < 380600
 
Ceil 1.4 in
-104464 > -559399
 
Ceil 2.4 in
-202637+662637 < 105202+359469
 
Ceil 3.4 in
-2×315172 < -793184÷2
 
Point 0.3 dp
80.032 > 9.426
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
1000-957.41 < 351.661-21.661
 
Point 3.3 dp
82.488÷6.874 > 7.2×1.365
 
Point 3.4 dp
3.36×6.75 < 102.4×3.125
 
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
 
Doted 1.3 dn
-34 < 44.387
 
Doted 1.4 dn
2.314 > -834.886
 
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
 
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
 
Doted 3.3 dn
82.08÷(-1.44) < 65.61÷(-6.561)
 
Improper 0.3 fp
1/6×524/89 > 4/11÷356/915
 
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
 
Descent 0.1 fn
7/10 > 1/3
 
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
 
Descent 1.3 fn
33461/449 > 23705/449
 
Descent 2.2 fn
-309/62-27/62 < -3/22-5/44
 
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
 
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
 
 
Lineal 0.3 in
760÷(746-x)=-95
 
Lineal 3.3 in
600÷x-25=-65
 
Lineal 4.3 in
-60×(865-x)=540
Rounding
 
 
Rounding 0.3 dp
2.193×30.124≈66.06
 
Rounding 3.3 dp
18.727÷27.295≈0.69
Language Exercises
 
 
 
Russian Vocabulary 3.4
талантл вый
 
 
 
Lexicon 1.4
poi onous [noxious]
 
Infinitive 2.2
shoe             [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-312÷104+7700=7697
 
Intellect 1.3 in
-151×82-927=-13309
 
Intellect 2.3 in
-1925+48×75+2661=4336
 
Intellect 3.3 in
4859+(-60-100)×53=-3621
 
Logics 0.3 in
10000÷10÷(-25×(-4))=10
 
Logics 1.3 in
72×(-90)=-6480
 
Logics 2.3 in
4×(-500)÷(-5)=400
 
Logics 3.3 in
-500÷(-25×2)=10
 
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
 
 
Residual 1.3 dp
47÷8=5.875
 
Denary 0.4 dp
115.2÷384=0.3
 
Denary 1.4 dp
23×0.002=0.046
 
Denary 2.4 dp
7.176÷2.4=2.99
 
Denary 3.4 dp
4×0.012=0.048
 
Denary 4.4 dp
1.7×64÷68=1.6
 
Denary 5.4 dp
(6.25×48)÷19.2=15.625
 
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
 
Definition 0.4 dp
310×0.104+48.75×12.672=650
 
Definition 1.4 dp
762.4+8.832×3.125=790
 
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
 
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
 
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
 
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
 
Negatory 0.4 dn
-158.08+3.6×107.8=230
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
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
597.818+(13.425+5.575)×4.232=678.226
Fraction Examples
 
 
Denominator 0.3 fn
329/927+208/927=179/309
 
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
 
Denominator 3.3 fn
3/13+(-3531/148+296/13)=-127/148
 
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
 
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
 
Limited 0.2 fp
843/28+285/8÷95/48=1347/28
 
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
 
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
 
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
 
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
 
Complete 2.2 fn
392/61÷(173/8+219/8)=8/61
Comparisons
 
 
Doted 0.4 dn
540.624+412.17 > 324.749+572.751
 
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
 
Descent 0.3 fn
241/5-16131/340 > -766/9+56/1
 
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
 
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Language Exercises
 
 
Russian Vocabulary 2.5
в ттметр
 
 
 
 
Lexicon 1.5
grandda ghter [relative]
 
Lexicon 2.4
contrib te [promote]
 
Infinitive 1.3
wind wound       [wind]
 
Infinitive 3.2
bend             [bend]

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