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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
1961+910910=912871
 
Beginner 4.5 ip
956297-3081-25816=927400
 
Beginner 5.5 ip
164557+(680688-405731)=439514
 
 
Conversant 1.5 in
-427576+192054=-235522
 
 
Cognizant 0.3 ip
8900÷100=89
 
Cognizant 4.3 ip
4680÷78×24=1440
 
Cognizant 5.3 ip
(100×18)÷24=75
 
Cognizant 6.3 ip
60÷(30÷10)÷2=10
 
Remainder 1.3 ip
916÷33=27(25)
 
Multiplier 1.4 ip
11125×800=8900000
 
Divisor 1.3 ip
7505÷79=95
 
Numeracy 0.2 ip
(39+10)×(10+9)=931
 
Numeracy 0.3 ip
9600+3200÷200×25=10000
 
Numeracy 1.3 ip
3659×16+456=59000
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
864-(132+24)÷2=786
 
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
 
Divisor_ENG 1.3 ip
6000÷20=300
 
Decimal Examples
 
 
Partitive 0.1 dp
6.2-1-1.4=3.8
 
Partitive 0.2 dp
52.3+57.1-18.4=91
 
 
Partitive 1.2 dp
92.8-7.5=85.3
 
Partitive 2.1 dp
2.5+6+0.1=8.6
 
Partitive 2.2 dp
59.3-57.6+96.1=97.8
 
Partitive 3.1 dp
3.8-(9.9-9.1)=3
 
Partitive 3.2 dp
31.4+(63.7-39)=56.1
 
Divisional 1.1 dp
5.7÷1.5=3.8
 
Denary 1.1 dp
1.9×5=9.5
 
Denary 2.1 dp
28.5÷1.5=19
 
Denary 3.1 dp
38.4÷4=9.6
 
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
Fraction Examples
 
 
Numerator 1.1 fp
9/10-3/10=3/5
Comparisons
 
 
Natural 0.4 ip
300830+407403 < 880295-31818
 
Natural 3.4 ip
104×17 < 25×72
 
Ceil 0.1 in
-2-0 > -2-3
 
 
Ceil 2.1 in
-9+2 < -2+3
 
Ceil 3.1 in
8÷4 < 8÷2
 
Point 1.1 dp
32.8 < 58
 
Point 2.1 dp
10.3+85.5 > 71.2-13.2
 
 
Improper 1.2 fp
454/61 < 25/3
 
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
 
 
 
Linear 0.3 ip
900÷x+215=245
 
Linear 3.3 ip
971-58×x=159
 
Linear 4.2 ip
68÷(14+x)=2
 
Linear 4.3 ip
52×(x+9)=936
 
 
Rounding
 
 
 
Rounding 2.1 dp
9.3+71.7≈81
 
Round 0.1 ip
675÷9≈8
 
Round 0.2 ip
4×2234≈89
 
Round 0.3 ip
952217-132070≈820
 
Round 1.3 ip
142664≈143
 
Round 2.2 ip
30+73≈1
 
Round 2.3 ip
174454+351394≈526
 
Round 3.1 ip
339÷3≈11
 
Round 3.2 ip
1415×5≈71
 
Round 3.3 ip
183×4033≈738
Language Exercises
 
 
Russian Vocabulary 1.4
ори нтир
 
Russian Vocabulary 3.3
гр мматика
 
 
 
 
Lexicon 1.3
tr ding [commerce]
 
Infinitive 2.1
take             [take]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-(0+6)+(9+15)=18
 
Conversant 0.3 in
10-98+21=-67
 
 
 
 
Conversant 2.3 in
-65+6+100=41
 
 
Conversant 3.2 in
-10-(-3-6)=-1
 
Conversant 3.3 in
-10-(40+30)=-80
 
Conversant 4.1 in
-(3-0)+(8+5)=10
 
Conversant 4.2 in
(14+12)+(14-20)=20
 
Conversant 4.3 in
-(60+49)+(79+11)=-19
 
Cognizant 0.4 ip
20÷2×(78÷13)=60
 
Cognizant 1.4 ip
965×76=73340
 
Cognizant 2.4 ip
424560÷120=3538
 
Cognizant 3.4 ip
780000÷240=3250
 
Cognizant 4.4 ip
32×15×327=156960
 
Cognizant 5.4 ip
70000÷(26250÷75)=200
 
Cognizant 6.4 ip
320×(25×25)÷4=50000
 
Multiplier 1.5 ip
5470×2657=14533790
 
Divisor 1.4 ip
29750÷17=1750
 
Intellect 0.1 in
-70-20÷(2+2)=-75
 
Intellect 1.1 in
-75+42÷3=-61
 
Intellect 2.1 in
-90+48÷12×8=-58
 
Intellect 3.1 in
63-30÷(6+4)=60
 
Logics 0.1 in
-36÷(-12÷(-6))=-18
 
Logics 1.1 in
-38÷2=-19
 
Logics 2.1 in
5×2÷10=1
 
Logics 3.1 in
(-2×25)÷5=-10
 
Logics 4.1 in
-10×(-14÷(-7))×(-2)=40
 
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
 
 
Partitive 0.3 dp
44.53+(53.84-45)=53.37
 
Partitive 1.3 dp
72+22.88=94.88
 
Partitive 2.3 dp
77-55.38+39.66=61.28
 
Partitive 3.3 dp
95.31-(35.34+44.97)=15
 
Split 0.1 dn
4.5-2-6.4=-3.9
 
Split 0.2 dn
-85+66.3-6.3=-25
 
Split 1.1 dn
1.4+3.9=5.3
 
Split 1.2 dn
-70.3+69.8=-0.5
 
Split 2.1 dn
-4+6.8-4.8=-2
 
Split 2.2 dn
-98.1+66.3-48.6=-80.4
 
Split 3.1 dn
7.3-(9-6)=4.3
 
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
 
 
Divisional 1.2 dp
2.86÷0.13=22
 
Denary 0.1 dp
(6.4×0.5)÷0.4=8
 
Denary 1.2 dp
1.75×0.8=1.4
 
Denary 2.2 dp
1.44÷7.2=0.2
 
Denary 3.2 dp
5.6×0.05=0.28
 
Denary 4.1 dp
93.6÷19.5÷16=0.3
 
Denary 5.1 dp
8.8÷(72÷9)=1.1
 
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
 
Definition 1.1 dp
14.3-10÷0.8=1.8
 
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
 
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
 
Negatory 1.1 dn
68.3-70.4÷12.8=62.8
 
Negatory 2.1 dn
18.5+3.8×11÷4.4=28
 
 
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
 
 
Numerator 0.1 fp
3/5+2/5-5/8=3/8
 
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
4/5-2/5-3/10=1/10
 
Numerator 2.2 fp
37/8-13/8+50/77=281/77
 
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
 
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
 
Denominator 0.1 fn
-2/9-5/9=-7/9
 
 
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
 
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
 
Fragment 1.1 fp
3/2×10/7=15/7
 
Fragment 1.2 fp
32/25×95/16=38/5
 
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
 
 
Reduction 1.2 fp
2016/272=126/17
 
Limited 1.1 fp
14/5×25/7-1/4=39/4
Comparisons
 
 
Ceil 0.2 in
4×(-4) = 4×(-4)
 
Ceil 0.3 in
-37 > -920
 
Ceil 1.2 in
18 > -61
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
63+36 > -50-32
 
Ceil 2.3 in
-726+210 < 848-597
 
Ceil 3.2 in
-99÷3 < 2×42
 
Ceil 3.3 in
-9×(-54) < -24×(-21)
 
Point 0.1 dp
13+55.3 > 45-1.4
 
Point 0.2 dp
56.88-4.25 < 1.7+50.94
 
Point 1.2 dp
79.15 > 74
 
Point 1.3 dp
63.298 > 40
 
Point 1.4 dp
533.338 > 450.065
 
Point 2.2 dp
96.8-25.14 > 66.5-7.5
 
Point 2.3 dp
26.216+17.634 > 0.628+2.002
 
Point 3.1 dp
13×3.4 > 27.2×0.5
 
Point 3.2 dp
2.8×22 > 5×6.24
 
Doted 0.1 dn
85.6-28.2 > -34.1+85.4
 
Doted 0.2 dn
-16.83-80.19 < 47.97-3.33
 
Doted 1.1 dn
27 > -32.8
 
Doted 1.2 dn
-35.62 < -35.59
 
Doted 2.1 dn
53-14.7 < 76.9-16.9
 
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
 
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
 
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
 
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
 
Improper 0.2 fp
7/9÷49/8 > 1/42÷1/3
 
Improper 1.3 fp
2616/43 > 411/11
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
 
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
 
Improper 3.2 fp
1/2×28/3 > 7/11÷14/99
 
Descent 1.1 fn
-3/4 < 1/5
 
Descent 1.2 fn
161/60 < 239/35
 
Descent 2.1 fn
3/5+1/5 > 2/5+1/10
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
Lineal 0.2 in
-x÷12-3=0
 
 
Lineal 1.3 in
-104+x=854
 
Lineal 2.2 in
-2×(-x)=62
 
Lineal 2.3 in
615÷(-x)=41
 
Lineal 3.1 in
x-10=10
 
Lineal 3.2 in
-93-x×2=67
 
Lineal 4.1 in
-8÷(-x+4)=-2
 
Lineal 4.2 in
44÷(x-62)=-11
Rounding
 
 
Rounding 0.1 dp
10.4×3≈31
 
Rounding 0.2 dp
0.44+9.58≈10
 
Rounding 1.2 dp
20.35≈20.4
 
Rounding 1.3 dp
17.001≈17
 
Rounding 2.2 dp
44.82-29.27≈15.6
 
Rounding 2.3 dp
3.977+18.018≈22
 
Rounding 3.1 dp
21.7÷37.3≈1
 
Rounding 3.2 dp
70÷2≈35
Language Exercises
 
 
Russian Vocabulary 2.4
ид альный
 
 
Lexicon 2.3
some ne [person]
 
Infinitive 1.2
unbind       unbound [unbind]
 
Infinitive 3.1
      dreamt       [dream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-938+(643-435)=-730
 
Conversant 0.5 in
-515475+(967227-305954)=145798
 
Conversant 1.4 in
141-391=-250
 
Conversant 2.4 in
563-357-206=0
 
Conversant 2.5 in
270263-211719-423939=-365395
 
Conversant 3.4 in
61+(946-869)=138
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
-(695-404)+(581-440)=-150
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
5636374÷587=9602
 
Intellect 0.2 in
52÷2-236=-210
 
Intellect 1.2 in
-262×5+360=-950
 
Intellect 2.2 in
430-960÷80+189=607
 
Intellect 3.2 in
600-27÷(10+17)=599
 
Logics 0.2 in
7×2×(-20)=-280
 
Logics 1.2 in
-88÷11=-8
 
Logics 2.2 in
-36×(-2)×9=648
 
Logics 3.2 in
-4×(5×5)=-100
 
Logics 4.2 in
5×(-2)×(5×7)=-350
 
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
 
 
 
Partitive 1.4 dp
199.812-189.812=10
 
Partitive 2.4 dp
457.221-96.696-169.921=190.604
 
Partitive 3.4 dp
348.323-(285-96.143)=159.466
 
Split 0.3 dn
-40+43.29=3.29
 
Split 0.4 dn
196.204-270.187=-73.983
 
Split 1.3 dn
2.59+68=70.59
 
Split 1.4 dn
558-592.917=-34.917
 
Split 2.3 dn
-69.23+90.32-50.09=-29
 
Split 2.4 dn
-570.204+0+473.009=-97.195
 
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
77÷28=2.75
 
Divisional 1.3 dp
11.04÷29.44=0.375
 
Denary 0.2 dp
17.28÷28.8=0.6
 
Denary 0.3 dp
(75×0.088)÷5.5=1.2
 
Denary 1.3 dp
6.075×5.12=31.104
 
Denary 2.3 dp
2.124÷2.4=0.885
 
Denary 3.3 dp
5.76÷1.152=5
 
Denary 4.2 dp
18.4÷7.36÷1.25=2
 
Denary 4.3 dp
1.92×1.5÷0.048=60
 
Denary 5.2 dp
1.2÷(15×2)=0.04
 
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
 
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
 
Definition 1.2 dp
2÷0.8+67.5=70
 
Definition 1.3 dp
9.63-1.875×0.336=9
 
Definition 2.2 dp
39+3.6÷0.75+52.2=96
 
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
 
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
 
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
 
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
 
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
 
Negatory 1.3 dn
54.72÷30-43.92=-42.096
 
Negatory 2.2 dn
-6+0.5×10.24×18.75=90
 
Negatory 2.3 dn
81.099+90.72÷2.835-87.099=26
 
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
 
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
 
 
Divisional_ENG 1.3 dp
28.98÷5.152=5.625
Fraction Examples
 
 
Numerator 0.3 fp
811/19+(405/19-1035/149)=8501/149
 
Numerator 1.3 fp
1/4+7991/180=2009/45
 
Numerator 2.3 fp
3/7+49734/623-5808/89=15/1
 
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
 
Denominator 0.2 fn
111/22+17/14=482/77
 
Denominator 1.2 fn
7/3+85/33=54/11
 
Denominator 1.3 fn
3/4+3784/71=15349/284
 
Denominator 2.2 fn
757/77-1/3-20/21=94/11
 
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
 
Fragment 0.1 fp
(12/5×1/3)×25/4=5/1
 
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
 
Fragment 1.3 fp
13/3×43/4=559/12
 
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
 
Fragment 2.3 fp
1/2×52/29×3/26=3/29
 
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
 
Fragment 3.2 fp
(35/4÷7/5)÷25/3=3/4
 
Reduction 1.3 fp
90/132=15/22
 
Limited 0.1 fp
35/4÷(34/5-43/10)=7/2
 
Limited 1.2 fp
122/13-1/2÷13/62=7/1
 
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
 
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
 
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
 
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
 
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
 
 
Ceil 0.4 in
990537-17775 > 2600+3199
 
Ceil 1.4 in
115004 > -118056
 
Ceil 2.4 in
-277008-152992 < -246016+935177
 
Ceil 3.4 in
-15×(-56320) > 6072×5
 
Point 0.3 dp
30.683 < 51.991
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
990.111-5.414 > 991.834-127.012
 
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
 
Point 3.4 dp
1.75×39.424 < 92.16×1.575
 
Doted 0.3 dn
-92+41 > -91.036+40.026
 
Doted 1.3 dn
-15 < 100
 
Doted 1.4 dn
2.314 > -834.886
 
Doted 2.3 dn
-27.286+98.194 > -2-0.119
 
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
 
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
 
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
 
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
 
Descent 0.1 fn
-1/2×8/9 < 1/2÷9/10
 
Descent 0.2 fn
9/1×35/54 > 8/1÷(-12/7)
 
Descent 1.3 fn
213/254 < 9715/381
 
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
 
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
 
Descent 3.2 fn
2/1÷(-37/42) < -16/3×15/64
Equations
 
 
 
Lineal 3.3 in
-1+x÷577=0
 
Lineal 4.3 in
-(-x-855)×40=-880
 
Rounding
 
 
Rounding 0.3 dp
16.293+14.006≈30.3
 
Rounding 3.3 dp
12÷25.802≈0.47
Language Exercises
 
 
Russian Vocabulary 1.5
напер вес
 
Russian Vocabulary 3.4
систем тически
 
 
 
Lexicon 1.4
motorc cle [moped]
 
Infinitive 2.2
            sown [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(86+14)×(23+227)=25000
 
Intellect 1.3 in
-7015-1656÷24=-7084
 
Intellect 2.3 in
5300-4692×45÷15=-8776
 
Intellect 3.3 in
(800-1096)×(12+75)=-25752
 
Logics 0.3 in
4×5×5=100
 
Logics 1.3 in
572÷(-4)=-143
 
Logics 2.3 in
952÷(-34)×95=-2660
 
Logics 3.3 in
(1600÷100)×87=1392
 
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
 
 
Residual 1.3 dp
47÷8=5.875
 
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
 
Denary 1.4 dp
57×0.032=1.824
 
Denary 2.4 dp
0.506÷5.06=0.1
 
Denary 3.4 dp
0.52÷1.04=0.5
 
Denary 4.4 dp
23.04÷102.4×500=112.5
 
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
 
Definition 0.3 dp
29.325×1.28-1.024=36.512
 
Definition 0.4 dp
(208.3-205.175)×(96.287+36.769)=415.8
 
Definition 1.4 dp
762.4+8.832×3.125=790
 
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
 
Definition 3.3 dp
4.8÷(11.725-9.325)×5.304=10.608
 
Definition 3.4 dp
366.636-(331.677-25.437)÷51.04=360.636
 
Negatory 0.3 dn
-0.676÷3.25-2×0.014=-0.236
 
Negatory 0.4 dn
-158.08+3.6×107.8=230
 
Negatory 1.4 dn
570-45.9×10.08=107.328
 
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
 
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
 
Negatory 3.4 dn
-846.352+(108.508+57.372)÷2.5=-780
 
Fraction Examples
 
 
Denominator 0.3 fn
2/3-89/3=-29/1
 
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
 
Denominator 3.3 fn
1749/260-(-1033/260+857/10)=-75/1
 
Fragment 0.3 fp
657/17÷1314/17×42/29=21/29
 
Fragment 3.3 fp
1209/37÷(130/17÷390/17)=3627/37
 
Limited 0.2 fp
1255/36-27/32×2104/81=233/18
 
Limited 1.3 fp
25/116-18/29÷696/35=155/841
 
Limited 2.2 fp
15/7÷(166/19-71/19)=3/7
 
Complete 0.2 fn
1/6+1/2÷3/4=5/6
 
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
 
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
 
 
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
 
Doted 3.4 dn
-17.408×(-41.25) < 36.75×22.8
 
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
 
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
 
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
 
 
Quadratic 0.1 in
x2+11x+18=0
 
 
 
Quadratic 3.1 in
-x2+12x-11=0
 
 
 
System 2.1 ip
28y÷7x=10
 
System 3.1 ip
10x+4y=140
 
Set 0.1 in
y+3x=-24
 
Set 1.1 in
-y+x=-11
 
Set 2.1 in
-y×9x=-540
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
emplo ment [business]
 
Lexicon 2.4
per uade [assure]
 
Infinitive 1.3
cost       cost [cost]
 
Infinitive 3.2
speed             [speed]

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