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
1000000-0-620000=380000
Beginner 4.5 ip
354281+581405-260651=675035
Beginner 5.5 ip
76400+(845413-391813)=530000
Conversant 1.1 in
6-8=-2
Conversant 1.5 in
-427576+192054=-235522
Conversant 2.1 in
8+0-9=-1
Cognizant 0.3 ip
9072÷14=648
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
816÷24=34
Numeracy 0.2 ip
277×5-716=669
Numeracy 0.3 ip
1155+96÷32=1158
Numeracy 1.3 ip
3894+30÷15=3896
Numeracy 2.3 ip
6800+240×50÷75=6960
Numeracy 3.2 ip
(30+17)×(210-195)=705
Numeracy 3.3 ip
6428-(5842-5678)×27=2000
Divisor_ENG 1.3 ip
900÷90=10
Remainder_ENG 1.3 ip
56÷2=28
Decimal Examples
Partitive 0.1 dp
7.7-3.3=4.4
Partitive 0.2 dp
21-(94.5-74.7)=1.2
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
47.1+3.6=50.7
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
48.6÷1.2=40.5
Denary 1.1 dp
1.9×5=9.5
Denary 2.1 dp
33÷1.2=27.5
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
13.8÷0.4=34.5
Fraction Examples
Numerator 1.1 fp
7/10-3/10=2/5
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
13×16 < 35732÷2
Ceil 0.1 in
7 > -2
Ceil 1.1 in
7 < 10
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
78.7 > 29.7
Point 2.1 dp
85.7-74.3 < 11+2.2
Improper 1.1 fp
9/10 > 3/4
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
Linear 0.2 ip
x-14=11
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
616÷(12+x)=28
Lineal 1.1 in
1-x=1
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
84.8≈85
Rounding 2.1 dp
9.3+71.7≈81
Round 0.1 ip
97+168≈27
Round 0.2 ip
992≈10
Round 0.3 ip
834224÷272≈3
Round 1.3 ip
240839≈241
Round 2.2 ip
93+2447≈25
Round 2.3 ip
965026-242853≈722
Round 3.1 ip
516÷2≈26
Round 3.2 ip
5770÷10≈6
Round 3.3 ip
871135÷295≈3
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
interes
English Vocabulary 2.3
w rship
Lexicon 1.3
pr per [correct]
Infinitive 2.1
broadcast [broadcast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
8-16=-8
Conversant 1.3 in
20-42=-22
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
-4-94-1=-99
Conversant 3.1 in
-3+(-4-1)=-8
Conversant 3.2 in
3+(7-20)=-10
Conversant 3.3 in
-66-(0-18)=-48
Conversant 4.1 in
(8-0)-(3-4)=9
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
(37+20)-(43-19)=33
Cognizant 0.4 ip
8×125000÷2000=500
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
676804÷148=4573
Cognizant 3.4 ip
321×940=301740
Cognizant 4.4 ip
32×15×327=156960
Cognizant 5.4 ip
(160×2000)÷5=64000
Cognizant 6.4 ip
320×(25×25)÷4=50000
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
73-6×22=-59
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
2×3×5=30
Logics 1.1 in
-9×(-5)=45
Logics 2.1 in
45÷(-5)×9=-81
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
-27×4÷(-6×(-2))=-9
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
Partitive 0.3 dp
64.5+15.95=80.45
Partitive 1.3 dp
12.29+80.11=92.4
Partitive 2.3 dp
5.59+64.56-25.55=44.6
Partitive 3.3 dp
30+(3.3+52.04)=85.34
Split 0.1 dn
1.8+5.1=6.9
Split 0.2 dn
-92.4-5.7+76=-22.1
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
51+45=96
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
-30.6-32+9.6=-53
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
27÷5=5.4
Divisional 1.2 dp
30.24÷1.12=27
Denary 0.1 dp
0.9×10=9
Denary 1.2 dp
35×0.12=4.2
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
16÷12.5=1.28
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
10÷(0.5×0.8)=25
Definition 0.1 dp
36÷4.8+0.6×20=19.5
Definition 1.1 dp
1÷0.5+59.3=61.3
Definition 2.1 dp
32+8÷3.2-4.5=30
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
0.52÷2=0.26
Fraction Examples
Numerator 0.1 fp
1/2+(1/6+1/9)=7/9
Numerator 0.2 fp
55/6+5/6=10/1
Numerator 1.2 fp
28/5-64/15=4/3
Numerator 2.1 fp
1/4+1/4+1/4=3/4
Numerator 2.2 fp
71/9-58/45-14/15=17/3
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
Denominator 1.1 fn
1/10+4/5=9/10
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
Denominator 3.1 fn
-4/5-(-2/5-1/5)=-1/5
Fragment 1.1 fp
3/4×44/9=11/3
Fragment 1.2 fp
1/2×762/29=381/29
Fragment 2.1 fp
3/5÷1/2÷3/2=4/5
Reduction 1.1 fp
22/14=11/7
Reduction 1.2 fp
8/80=1/10
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
873 > -188
Ceil 1.2 in
-61 < 86
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
32-3 = 20+9
Ceil 2.3 in
860-7 > 134-553
Ceil 3.2 in
2×6 > 84÷12
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
Point 0.2 dp
0.92+26.19 < 3.81+80.64
Point 1.2 dp
2.65 < 5.67
Point 1.3 dp
75.249 > 0.089
Point 1.4 dp
811.262 > 811.242
Point 2.2 dp
98.73-1.14 > 7.39+0.53
Point 2.3 dp
95.598-3.355 = 99.734-7.491
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
63.76÷8 > 3.18×2.5
Doted 0.1 dn
-26.8-14.6 = 20.1-61.5
Doted 0.2 dn
-12.34-57.66 < 32.82+37.17
Doted 1.1 dn
-71.1 < -31
Doted 1.2 dn
79.32 > 63
Doted 2.1 dn
40.8+50 > -74.7-16
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
Improper 0.2 fp
7/10×60/7 > 2/5×45/16
Improper 1.3 fp
59420/633 < 664/7
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
455/17-268/17 < 1/2+23/2
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
1/3÷1/24 > 36/19×95/68
Descent 1.1 fn
4/5 > -1/3
Descent 1.2 fn
20/41 > -8/19
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
19×(x+53)=-76
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
-x+943=0
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
-5÷x-2=-1
Lineal 3.2 in
-1+x×8=-1
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
-(16-x)×9=90
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
60.42-5.14≈55.3
Rounding 1.2 dp
74.91≈74.9
Rounding 1.3 dp
17.001≈17
Rounding 2.2 dp
71.21+27.19≈98.4
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
54.7÷24≈2
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
карт тека
English Vocabulary 3.3
ma ter
Lexicon 2.3
al rming [anxious]
Infinitive 1.2
waylay waylaid [waylay]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-74-280+927=573
Conversant 0.5 in
828000-168565=659435
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
-150-180-404=-734
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
287-(582+82)=-377
Conversant 3.5 in
-648649-(980000-868459)=-760190
Conversant 4.4 in
(123+20)-(780-647)=10
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
8480012÷659=12868
Intellect 0.2 in
-105-2×220=-545
Intellect 1.2 in
-395+30×41=835
Intellect 2.2 in
-270-3×35+360=-15
Intellect 3.2 in
(280+104)÷(20+4)=16
Logics 0.2 in
760÷40=19
Logics 1.2 in
-14÷7=-2
Logics 2.2 in
4×(-2)×33=-264
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
524.517-(21.608+486.975)=15.934
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
237.038+(265.417+175.545)=678
Split 0.3 dn
-47+23+77.37=53.37
Split 0.4 dn
-544.409+274.409=-270
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
488.989+344.754=833.743
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
-600+543.786+24.469=-31.745
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
76÷8=9.5
Divisional 1.3 dp
0.168÷0.014=12
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
0.736×20=14.72
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
0.8×0.5×24.3=9.72
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
(1.5×0.8)÷8=0.15
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
2×0.04+9.95=10.03
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
5.6×0.5-1.2÷1.5=2
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
Negatory 0.2 dn
-78.41+89.1÷(11.52-52.02)=-80.61
Negatory 1.2 dn
-2.6+7×0.8=3
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
54÷25=2.16
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
Numerator 0.3 fp
189/5-1162/65=259/13
Numerator 1.3 fp
4264/695+1556/695=1164/139
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
Denominator 1.2 fn
-5/42-19/42=-4/7
Denominator 1.3 fn
-1022/23+87/2=-43/46
Denominator 2.2 fn
81/14-1/4+13/28=6/1
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
(12/5×1/3)×25/4=5/1
Fragment 0.2 fp
2/5×15/16=3/8
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
(3/4×16/3)÷7/5=20/7
Fragment 3.2 fp
(35/2×2/15)×139/7=139/3
Reduction 1.3 fp
3552/5400=148/225
Limited 0.1 fp
17/2-2/3×37/4=7/3
Limited 1.2 fp
336/17×153/56-133/3=29/3
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
Ceil 0.4 in
-40508-3990 > -49120-145350
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
876219-121902 > -260768-593141
Ceil 3.4 in
-10×(-3) < -693000÷(-9)
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
925.983-860.483 < 48.669+24.331
Point 3.3 dp
13.351÷1.027 > 74.712÷8
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
70.126 = 70.126
Doted 1.3 dn
11.471 > -11.454
Doted 1.4 dn
108.111 < 886.755
Doted 2.3 dn
-35.498-23.502 < -3-23.002
Doted 2.4 dn
-310.058-30.117 < 735.233-67.565
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
1/3×20752/277 > 1022/19×19/42
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
Descent 0.1 fn
1/4+3/4 > 1/1-4/5
Descent 0.2 fn
280/33 > -461/55
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
-38×x-112=-872
Lineal 4.3 in
-12×(-958-x)=-504
System 1.1 ip
x+y=14
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
мит нг
English Vocabulary 1.4
aspe t
English Vocabulary 2.4
appr ving
Lexicon 1.4
caref l [anxious]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-4070+51842÷23÷49=-4024
Intellect 3.3 in
(2936-23936)÷(-12-2)=1500
Logics 0.3 in
3520÷(-88)=-40
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
80÷(-20)÷(-2)=2
Logics 3.3 in
-32×(-25×(-5))=-4000
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
Residual 1.3 dp
100÷16=6.25
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
40×0.001=0.04
Denary 2.4 dp
1.52÷0.76=2
Denary 3.4 dp
138.24÷34.56=4
Denary 4.4 dp
1.7×64÷68=1.6
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
262.198-1.25×80=162.198
Definition 2.4 dp
11.776÷256+212.8×0.035=7.494
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
-87.084+16.416÷72÷5.7=-87.044
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
Negatory 3.4 dn
410+826.2÷(0.877+1.248)=798.8
Residual_ENG 1.3 dp
96÷40=2.4
Fraction Examples
Denominator 0.3 fn
1455/937-412/11-666/11=-90371/937
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
(78/95×20/39)÷29/57=24/29
Fragment 3.3 fp
(1/2×134/3)÷67/81=27/1
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
805/566+4/11×385/8=5355/283
Limited 2.2 fp
377/15×(1/6+17/78)=29/3
Complete 0.2 fn
-1138/69+9/2×220/27=464/23
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
Complete 2.2 fn
(1/5+1/5)÷7/15=6/7
Comparisons
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
Doted 3.4 dn
-38.4×11.925 < -1.6×20
Descent 0.3 fn
-5253/205+15818/205 > 1259/17-1413/34
Descent 2.3 fn
-8879/103+250/3 < -1/3-131/57
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
-2x2-18x=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
-9x2+72x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=14
System 2.1 ip
720x÷3y=800
System 3.1 ip
4x+6y=100
Set 0.1 in
-2x+6y=40
Set 1.1 in
x-y=-6
Set 2.1 in
-2y×2x=-400
Set 3.1 in
2y-2x=0
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
f recast
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
nine eenth
Lexicon 1.5
uns ccessful [failed]
Lexicon 2.4
m ntally [intellectually]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
beseech [beseech]
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