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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
259242+(953998-698000)=515240
 
Beginner 4.5 ip
354281+581405-260651=675035
 
Beginner 5.5 ip
904921-(273824-157234)=788331
 
 
Conversant 1.5 in
-402102-388930=-791032
 
 
Cognizant 0.3 ip
2×1250=2500
 
Cognizant 4.3 ip
1440÷12×63=7560
 
Cognizant 5.3 ip
(450÷5)÷2=45
 
Cognizant 6.3 ip
2×3648÷(128÷2)=114
 
Remainder 1.3 ip
370÷6=61(4)
 
Multiplier 1.4 ip
8118×869=7054542
 
Divisor 1.3 ip
3162÷17=186
 
Numeracy 0.2 ip
451×2-76÷19=898
 
Numeracy 0.3 ip
7610-1020÷102=7600
 
Numeracy 1.3 ip
7000÷350+7117=7137
 
Numeracy 2.3 ip
3110×30+5400÷27=93500
 
Numeracy 3.2 ip
(30+17)×(210-195)=705
 
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
 
 
Decimal Examples
 
 
Partitive 0.1 dp
0.5+2+4=6.5
 
Partitive 0.2 dp
38.6-18.2=20.4
 
Partitive 1.1 dp
8.4-3.9=4.5
 
Partitive 1.2 dp
0.9+71.2=72.1
 
Partitive 2.1 dp
7.6-1.8-0.2=5.6
 
Partitive 2.2 dp
46.1+64.8-85.4=25.5
 
Partitive 3.1 dp
2.4+(0.1+1)=3.5
 
Partitive 3.2 dp
85-(30.1+7.8)=47.1
 
Divisional 1.1 dp
27.6÷1.5=18.4
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
7.2÷1.8=4
 
Denary 3.1 dp
79.2÷2=39.6
 
Fraction Examples
 
 
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
 
 
Natural 0.4 ip
935313-425313 > 48000+232893
 
Natural 3.4 ip
13×16 < 35732÷2
 
Ceil 0.1 in
0+10 > -9+10
 
 
Ceil 2.1 in
-9+2 < -2+3
 
Ceil 3.1 in
-4×2 < -3×2
 
Point 1.1 dp
73 > 64.9
 
Point 2.1 dp
85-17.8 > 58.6-56.1
 
 
Improper 1.2 fp
583/84 > 214/57
 
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
 
 
 
Linear 0.3 ip
352÷(5+x)=32
 
Linear 3.3 ip
971-58×x=159
 
Linear 4.2 ip
2×(x+16)=52
 
Linear 4.3 ip
(x+4)×40=960
 
 
Lineal 2.1 in
-x×(-4)=8
Rounding
 
 
 
Rounding 2.1 dp
92.4-11.3≈81
 
Round 0.1 ip
434≈43
 
Round 0.2 ip
5578÷2≈28
 
Round 0.3 ip
535855≈536
 
Round 1.3 ip
822773≈823
 
Round 2.2 ip
1581+2585≈42
 
Round 2.3 ip
480880-1191≈480
 
Round 3.1 ip
11×91≈100
 
Round 3.2 ip
3835÷5≈8
 
Round 3.3 ip
435475×2≈871
Language Exercises
 
 
Russian Vocabulary 1.4
ор ентация
 
Russian Vocabulary 3.3
гр мматика
 
 
 
 
Lexicon 1.3
loca ion [place]
 
Infinitive 2.1
smite             [smite]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-(1-0)-(1-7)=5
 
 
 
 
 
Conversant 2.3 in
-36+10-42=-68
 
Conversant 3.1 in
-3+(-4-1)=-8
 
Conversant 3.2 in
3+(7-20)=-10
 
Conversant 3.3 in
-14+(-13+7)=-20
 
Conversant 4.1 in
-(3-0)+(8+5)=10
 
Conversant 4.2 in
(0-18)+(20+16)=18
 
Conversant 4.3 in
-(40+20)-(52-12)=-100
 
Cognizant 0.4 ip
300×1800=540000
 
Cognizant 1.4 ip
100×142=14200
 
Cognizant 2.4 ip
618240÷2576=240
 
Cognizant 3.4 ip
716082÷138=5189
 
Cognizant 4.4 ip
693462÷231×162=486324
 
Cognizant 5.4 ip
200×(25×5)=25000
 
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
 
Multiplier 1.5 ip
65000×1499=97435000
 
Divisor 1.4 ip
71766÷81=886
 
Intellect 0.1 in
34-3×9-37=-30
 
Intellect 1.1 in
52+80÷5=68
 
Intellect 2.1 in
-5×5-2×33=-91
 
Intellect 3.1 in
48+(19-14)×7=83
 
Logics 0.1 in
80÷(-5)=-16
 
Logics 1.1 in
-2×(-9)=18
 
Logics 2.1 in
40÷(-2)÷(-10)=2
 
Logics 3.1 in
10×(-2×(-3))=60
 
Logics 4.1 in
-32÷(-2×2)÷2=4
 
Divisor_ENG 1.4 ip
78100÷25=3124
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
49.24+21.71-63.09=7.86
 
Partitive 3.3 dp
67.75-(59.93-14.71)=22.53
 
Split 0.1 dn
-9.8+0+2=-7.8
 
Split 0.2 dn
-1.9+7=5.1
 
Split 1.1 dn
7-4.2=2.8
 
Split 1.2 dn
-87.1-7=-94.1
 
Split 2.1 dn
5.2-0.1-2.1=3
 
Split 2.2 dn
21.5+50.7-13.9=58.3
 
Split 3.1 dn
-5.2+(7.6-6.3)=-3.9
 
Split 3.2 dn
49-(37.8-73.8)=85
 
 
Divisional 1.2 dp
10.08÷0.35=28.8
 
Denary 0.1 dp
4.5×0.8=3.6
 
Denary 1.2 dp
0.6×30=18
 
Denary 2.2 dp
15.84÷1.98=8
 
Denary 3.2 dp
16÷12.5=1.28
 
Denary 4.1 dp
93.6÷19.5÷16=0.3
 
Denary 5.1 dp
(19×0.1)÷0.5=3.8
 
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
 
Definition 1.1 dp
11.1+3.8×3=22.5
 
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
 
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
 
Negatory 1.1 dn
32÷2.5-25=-12.2
 
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
 
 
Fraction Examples
 
 
Numerator 0.1 fp
3/5+2/5-5/8=3/8
 
Numerator 0.2 fp
19/2-7/10-4/5=8/1
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
1/3+1/6+1/4=3/4
 
Numerator 2.2 fp
154/85+121/85+77/34=11/2
 
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
 
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
 
Denominator 0.1 fn
1/5+3/10+1/4=3/4
 
Denominator 1.1 fn
1/10+4/5=9/10
 
Denominator 2.1 fn
2/3+1/3-6/7=1/7
 
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
 
Fragment 1.1 fp
6/5×10/3=4/1
 
Fragment 1.2 fp
23/5×154/23=154/5
 
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
 
Reduction 1.1 fp
171/45=19/5
 
Reduction 1.2 fp
3231/129=1077/43
 
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
 
 
Ceil 0.2 in
-83-11 < -10+81
 
Ceil 0.3 in
575+97 > -819+132
 
Ceil 1.2 in
65 > -16
 
Ceil 1.3 in
619 > 610
 
Ceil 2.2 in
-25-23 < 10+0
 
Ceil 2.3 in
169+616 < -50+994
 
Ceil 3.2 in
-12×2 < 5×7
 
Ceil 3.3 in
-7×30 < -860÷(-4)
 
Point 0.1 dp
38.4 > 1.7
 
Point 0.2 dp
98.17-11.17 > 64.69-20.63
 
Point 1.2 dp
51.46 < 51.47
 
Point 1.3 dp
93.309 > 44
 
Point 1.4 dp
843.617 > 814.01
 
Point 2.2 dp
26.53+26.28 > 1.85+50.07
 
Point 2.3 dp
6.675+59.134 > 89-23.199
 
Point 3.1 dp
20.3÷2.9 < 94.5÷5
 
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
 
Doted 0.1 dn
53.6 > 44.8
 
Doted 0.2 dn
-77.16 < 89
 
Doted 1.1 dn
-1.8 > -42
 
Doted 1.2 dn
-98.21 < -69
 
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
 
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
 
Doted 3.1 dn
-0.8×2 > 40÷(-2)
 
Doted 3.2 dn
-34.8÷1.16 < 3.9×24
 
Improper 0.1 fp
3/4×4/5 > 1/2×1/5
 
Improper 0.2 fp
86/9÷79/81 > 23/6×30/23
 
Improper 1.3 fp
2616/43 > 411/11
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
461/66+322/55 > 1/6+109/204
 
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
 
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
 
 
Descent 1.2 fn
43/7 > -22/3
 
Descent 2.1 fn
-1/10+3/5 < 1/2+1/2
Equations
 
 
Lineal 0.1 in
2×(-1+x)=-8
 
Lineal 0.2 in
10÷(-7-x)=5
 
 
Lineal 1.3 in
-x-793=-463
 
Lineal 2.2 in
-x×(-2)=-56
 
Lineal 2.3 in
-x÷(-4)=97
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
6÷(-x+9)=3
 
Lineal 4.2 in
-6×(-72+x)=72
Rounding
 
 
Rounding 0.1 dp
48.9+35.7≈85
 
Rounding 0.2 dp
0.44+9.58≈10
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
42.109≈42.11
 
Rounding 2.2 dp
44.82-29.27≈15.6
 
Rounding 2.3 dp
13.293+4.325≈17.62
 
Rounding 3.1 dp
21.5×1.5≈32
 
Rounding 3.2 dp
70÷2≈35
Language Exercises
 
 
Russian Vocabulary 2.4
бр дячий
 
 
Lexicon 2.3
to ards [to]
 
Infinitive 1.2
waylay       waylaid [waylay]
 
Infinitive 3.1
overrun             [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-434-728+612=-550
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-140+532=392
 
Conversant 2.4 in
-578+241+184=-153
 
Conversant 2.5 in
-118119+880000-889743=-127862
 
Conversant 3.4 in
-858-(-510-219)=-129
 
Conversant 3.5 in
80712-(610000+352355)=-881643
 
Conversant 4.4 in
-(86+70)-(14+130)=-300
 
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
 
Divisor 1.5 ip
8480012÷659=12868
 
Intellect 0.2 in
-593-384÷(2+2)=-689
 
Intellect 1.2 in
55+9×15=190
 
Intellect 2.2 in
-88÷22+480÷16=26
 
Intellect 3.2 in
-8+(196+98)÷2=139
 
Logics 0.2 in
7×2×(-20)=-280
 
 
Logics 2.2 in
4×(-2)×33=-264
 
Logics 3.2 in
-700÷(2×25)=-14
 
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
 
Divisor_ENG 1.5 ip
5488428÷132=41579
Decimal Examples
 
 
Partitive 0.4 dp
565.197+232.946=798.143
 
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
 
Split 0.3 dn
-91.18+66.3-55.12=-80
 
Split 0.4 dn
-68.569-484.139-4.175=-556.883
 
Split 1.3 dn
67.28+22.69=89.97
 
Split 1.4 dn
-10.495-147.571=-158.066
 
Split 2.3 dn
-81.71+83.87+51.84=54
 
Split 2.4 dn
-93.725-75+140.922=-27.803
 
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
 
Split 3.4 dn
105.845-(-165.539+141.384)=130
 
Residual 1.2 dp
16÷40=0.4
 
Divisional 1.3 dp
22.08÷0.3=73.6
 
Denary 0.2 dp
0.96÷(0.8×0.05)=24
 
Denary 0.3 dp
5.5×0.046=0.253
 
Denary 1.3 dp
25.6×0.625=16
 
Denary 2.3 dp
1.68÷0.56=3
 
Denary 3.3 dp
3.36÷70=0.048
 
Denary 4.2 dp
5.5×1.8×0.8=7.92
 
Denary 4.3 dp
35.64÷88÷1.35=0.3
 
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
2.16×45-15.01=82.19
 
Definition 1.2 dp
0.5×5+45.5=48
 
Definition 1.3 dp
54×1.76-67.04=28
 
Definition 2.2 dp
34.12+72.6×0.75÷2.25=58.32
 
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
 
Definition 3.2 dp
(0.5+0.7)×(4.3+39.7)=52.8
 
Negatory 0.1 dn
95.9-64÷2.5+20.9=91.2
 
Negatory 0.2 dn
0.64×(69-74)×0.25=-0.8
 
Negatory 1.2 dn
-10.5×2-21.74=-42.74
 
Negatory 1.3 dn
38.042+0.54×52=66.122
 
Negatory 2.2 dn
67.32+1.44×10÷2.5=73.08
 
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
 
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
 
Negatory 3.2 dn
18-(-4.63-11.37)×0.3=22.8
 
 
Fraction Examples
 
 
Numerator 0.3 fp
73/9+(2675/549+1099/61)=31/1
 
Numerator 1.3 fp
6998/159-5329/318=2889/106
 
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
 
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
 
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
 
Denominator 1.2 fn
8/13-112/13=-8/1
 
Denominator 1.3 fn
305/51-271/51=2/3
 
Denominator 2.2 fn
5/6+191/66-12/77=25/7
 
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
 
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
 
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
 
Fragment 1.3 fp
81/2÷9/20=90/1
 
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
 
Fragment 2.3 fp
1/5×203/3×6/5=406/25
 
Fragment 3.1 fp
(3/2÷1/4)×1/3=2/1
 
Fragment 3.2 fp
(7/2÷7/33)÷3/4=22/1
 
 
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
 
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
 
Limited 2.1 fp
(17/10-9/10)÷8/3=3/10
 
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
 
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
 
Complete 1.2 fn
7/8×496/21+83/20=1489/60
 
Complete 2.1 fn
12/5÷(-1/3-11/3)=-3/5
Comparisons
 
 
Ceil 0.4 in
-886848÷(-2) > -481000÷13
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
-277008-152992 < -246016+935177
 
Ceil 3.4 in
46×(-99) = -396198÷87
 
Point 0.3 dp
61.622-31.622 > 3.919+4.048
 
Point 0.4 dp
640.109-206.11 < 168.451+489.456
 
Point 2.4 dp
602.613-85.287 < 694.791-76.789
 
Point 3.3 dp
7.92×0.5 = 54.648÷13.8
 
Point 3.4 dp
50.6×0.75 < 33.12×1.25
 
Doted 0.3 dn
-51.662÷26 < 11.5×3.38
 
Doted 1.3 dn
10.084 < 12.192
 
Doted 1.4 dn
707 > 650
 
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
 
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
 
Doted 3.3 dn
-1.38×13.2 < -3.2×4.83
 
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
 
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
 
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
 
Descent 0.2 fn
-89/9 < -3/1
 
Descent 1.3 fn
-39/53 > -16/17
 
Descent 2.2 fn
43/11-290/77 > 19/2-139/14
 
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
 
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
 
 
Lineal 0.3 in
-(-x+764)×250=-1000
 
Lineal 3.3 in
5-36×x=365
 
Lineal 4.3 in
-100×(-x+973)=-900
 
Rounding
 
 
Rounding 0.3 dp
67.76÷29.683≈2.28
 
Rounding 3.3 dp
12÷25.802≈0.47
Language Exercises
 
 
Russian Vocabulary 1.5
диф рамб
 
 
 
 
Lexicon 1.4
motorc cle [moped]
 
Infinitive 2.2
rebid             [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-6712-(92+1333)×53=-82237
 
Intellect 1.3 in
3121-168÷8=3100
 
Intellect 2.3 in
-1925+48×75+2661=4336
 
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
 
Logics 0.3 in
3168÷2÷(-4)=-396
 
Logics 1.3 in
72×(-90)=-6480
 
Logics 2.3 in
5×20÷(-10)=-10
 
Logics 3.3 in
2394÷(-3×(-2))=399
 
Logics 4.3 in
21×(-30×4)÷(-24)=105
Decimal Examples
 
 
Residual 1.3 dp
63÷4=15.75
 
Denary 0.4 dp
12.48÷(192÷100)=6.5
 
Denary 1.4 dp
2.75×0.004=0.011
 
Denary 2.4 dp
66.066÷9.75=6.776
 
Denary 3.4 dp
2.4×0.36=0.864
 
Denary 4.4 dp
213.84÷388.8×411=226.05
 
Denary 5.4 dp
(810÷28.125)×0.25=7.2
 
Definition 0.3 dp
29.325×1.28-1.024=36.512
 
Definition 0.4 dp
77.76÷0.6-111.589=18.011
 
Definition 1.4 dp
38×14.4-122.13=425.07
 
Definition 2.4 dp
93.75×6.656+319.2÷4.2=700
 
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
79.11+0.625×6.528×4.875=99
 
Negatory 0.4 dn
329-437.4÷0.6=-400
 
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
 
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
 
Negatory 3.3 dn
-94.5÷(30.956+8.419)×20.475=-49.14
 
Negatory 3.4 dn
7×(5.681+19.919)×0.625=112
 
Fraction Examples
 
 
Denominator 0.3 fn
-1978/209-(5242/209-20891/253)=12151/253
 
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
 
Denominator 3.3 fn
34/5-(-572/35-3133/81)=35053/567
 
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
48/11÷8/33+582/23=996/23
 
Limited 1.3 fp
3/5×61/51+37/255=44/51
 
Limited 2.2 fp
255/11×(25/34-3/34)=15/1
 
Complete 0.2 fn
765/44÷85/4+343/11=32/1
 
Complete 1.3 fn
82757/979+141/4÷1551/28=7580/89
 
Complete 2.2 fn
784/29÷(-19/2-79/2)=-16/29
Comparisons
 
 
Doted 0.4 dn
-330 > -800
 
Doted 3.4 dn
-17.408×(-41.25) < 36.75×22.8
 
Descent 0.3 fn
3681/353 > -268/5
 
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
 
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2-3x+10=0
 
 
 
System 2.1 ip
y×13x=520
 
 
 
 
Set 2.1 in
2x×13y=390
 
Set 3.1 in
-1x-y=19
Language Exercises
 
 
Russian Vocabulary 2.5
п лицмейстер
 
 
 
 
Lexicon 1.5
ent usiasm [delight]
 
Lexicon 2.4
deli hted [admiring]
 
Infinitive 1.3
wind wound       [wind]
 
Infinitive 3.2
sow             [sow]

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