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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
689169+235946=925115
 
Beginner 4.5 ip
114479+71580+313941=500000
 
Beginner 5.5 ip
164557+(680688-405731)=439514
 
 
Conversant 1.5 in
880000-442636=437364
 
 
Cognizant 0.3 ip
8900÷100=89
 
Cognizant 4.3 ip
4680÷78×24=1440
 
Cognizant 5.3 ip
720÷(12×2)=30
 
Cognizant 6.3 ip
1254÷(2×209)×71=213
 
 
Multiplier 1.4 ip
8648×270=2334960
 
Divisor 1.3 ip
7350÷49=150
 
Numeracy 0.2 ip
370-384÷128=367
 
Numeracy 0.3 ip
1155+96÷32=1158
 
Numeracy 1.3 ip
3624-20×120=1224
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
220-912÷(2+74)=208
 
Numeracy 3.3 ip
297+(747-702)÷15=300
 
Divisor_ENG 1.3 ip
9360÷45=208
 
Decimal Examples
 
 
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
 
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
 
 
Partitive 1.2 dp
86.5-39.9=46.6
 
Partitive 2.1 dp
1.5+2.1+0.6=4.2
 
Partitive 2.2 dp
91.9-40-49.9=2
 
Partitive 3.1 dp
8.9-(2.8+5.1)=1
 
Partitive 3.2 dp
85-(30.1+7.8)=47.1
 
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
1.4×2.5=3.5
 
Fraction Examples
 
 
Numerator 1.1 fp
1/3-1/6=1/6
Comparisons
 
 
Natural 0.4 ip
1200×2 > 8×4
 
Natural 3.4 ip
484530÷310 < 510705÷13
 
Ceil 0.1 in
3+3 > -7+3
 
 
Ceil 2.1 in
1+1 > -1-9
 
Ceil 3.1 in
-2×4 < 6÷2
 
Point 1.1 dp
32.8 < 58
 
Point 2.1 dp
89.4-60.8 > 76-62.2
 
 
Improper 1.2 fp
308/61 < 83/10
 
Improper 2.1 fp
1/2-3/10 < 3/5-1/5
Equations
 
 
 
Linear 0.3 ip
942-38×x=258
 
Linear 3.3 ip
62×x-326=294
 
Linear 4.2 ip
56÷(x+1)=7
 
Linear 4.3 ip
52×(x+9)=936
 
 
Lineal 2.1 in
-x×(-9)=-9
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
986-19≈97
 
Round 0.2 ip
2352+1595≈39
 
Round 0.3 ip
252375+432481≈685
 
Round 1.3 ip
102436≈102
 
Round 2.2 ip
4031-2010≈20
 
Round 2.3 ip
999997-486≈1000
 
Round 3.1 ip
32×7≈22
 
Round 3.2 ip
9646÷2≈48
 
Round 3.3 ip
435475×2≈871
Language Exercises
 
 
Russian Vocabulary 1.4
иде логия
 
Russian Vocabulary 3.3
гум низм
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
wear             [wear]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
(13+80)+(70-100)=63
 
 
 
 
 
Conversant 3.1 in
-10+(4-4)=-10
 
Conversant 3.2 in
3+(-15+9)=-3
 
Conversant 3.3 in
-10-(40+30)=-80
 
Conversant 4.1 in
-(10+10)+(4+9)=-7
 
Conversant 4.2 in
(19-17)-(1+13)=-12
 
Conversant 4.3 in
(21-93)+(18+76)=22
 
Cognizant 0.4 ip
300×1800=540000
 
Cognizant 1.4 ip
234×850=198900
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
849×664=563736
 
Cognizant 4.4 ip
500×7÷5=700
 
Cognizant 5.4 ip
(150000÷20)÷25=300
 
Cognizant 6.4 ip
200×38÷(190×4)=10
 
Multiplier 1.5 ip
3830×1100=4213000
 
Divisor 1.4 ip
60667÷19=3193
 
Intellect 0.1 in
-70-20÷(2+2)=-75
 
 
Intellect 2.1 in
-4×2+2×49=90
 
Intellect 3.1 in
-60+20÷(17-15)=-50
 
Logics 0.1 in
2×25÷(10÷2)=10
 
 
Logics 2.1 in
10×(-7)÷2=-35
 
Logics 3.1 in
(-42÷(-7))×(-10)=-60
 
Logics 4.1 in
24×(-4)÷(-2×(-2))=-24
 
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
 
 
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
 
Partitive 1.3 dp
42.9+50=92.9
 
Partitive 2.3 dp
12.65+34.4+40.93=87.98
 
Partitive 3.3 dp
65-(50+10.22)=4.78
 
Split 0.1 dn
1.8+5.1=6.9
 
Split 0.2 dn
34.4-9.9-77=-52.5
 
Split 1.1 dn
-2.9+3.1=0.2
 
Split 1.2 dn
-3-19.1=-22.1
 
Split 2.1 dn
9-9+10=10
 
Split 2.2 dn
-69.5+99.4-60.7=-30.8
 
Split 3.1 dn
2.9-(-1.8+3)=1.7
 
Split 3.2 dn
3.7-(-89.9-5)=98.6
 
Residual 1.1 dp
27÷2=13.5
 
Divisional 1.2 dp
80.64÷4.2=19.2
 
Denary 0.1 dp
4.5×0.8=3.6
 
Denary 1.2 dp
0.6×30=18
 
Denary 2.2 dp
11.2÷70=0.16
 
Denary 3.2 dp
55.44÷42=1.32
 
Denary 4.1 dp
21.6×2.5÷7.2=7.5
 
Denary 5.1 dp
(48.7÷97.4)×10.4=5.2
 
Definition 0.1 dp
83.1-0.5×20=73.1
 
Definition 1.1 dp
1÷0.5+59.3=61.3
 
Definition 2.1 dp
6×0.5+3.6÷1.2=6
 
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
 
Negatory 1.1 dn
-32÷12.8+66=63.5
 
Negatory 2.1 dn
95-0.6×32.5÷0.1=-100
 
 
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
 
 
Numerator 0.1 fp
4/9+2/9+1/6=5/6
 
Numerator 0.2 fp
77/8-37/8-115/27=20/27
 
Numerator 1.2 fp
57/8-85/32=143/32
 
Numerator 2.1 fp
1/3-1/9+4/9=2/3
 
Numerator 2.2 fp
37/8-13/8+50/77=281/77
 
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
 
Numerator 3.2 fp
183/65+(241/52-7/4)=57/10
 
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
 
 
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
 
Denominator 3.1 fn
-1/8+(-1/8-1/8)=-3/8
 
Fragment 1.1 fp
9/2÷21/4=6/7
 
Fragment 1.2 fp
2/5÷1/5=2/1
 
Fragment 2.1 fp
3/5×5/6÷3/4=2/3
 
 
Reduction 1.2 fp
2016/272=126/17
 
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
 
 
Ceil 0.2 in
-38×2 < 16÷(-2)
 
Ceil 0.3 in
646 > -545
 
 
Ceil 1.3 in
-520 < 700
 
Ceil 2.2 in
-45-5 < -40-9
 
Ceil 2.3 in
-609+849 > -304+461
 
Ceil 3.2 in
66÷(-6) > 25×(-4)
 
Ceil 3.3 in
-84×(-9) > 150×3
 
Point 0.1 dp
90.4-17.9 > 99.7-61
 
Point 0.2 dp
41.62-2.87 < 8.3+66.62
 
Point 1.2 dp
51.46 < 51.47
 
Point 1.3 dp
63.298 > 40
 
Point 1.4 dp
316.199 < 316.219
 
Point 2.2 dp
5.76+0.27 < 45-15
 
Point 2.3 dp
44.524+26.476 < 98.418-17.608
 
Point 3.1 dp
99÷11 > 0.8×2.5
 
Point 3.2 dp
2.8×22 > 5×6.24
 
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
 
Doted 0.2 dn
72.72÷(-2.02) > -39×1.38
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
13 > -0.47
 
Doted 2.1 dn
-49-1 < -31.6+75.9
 
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
 
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
 
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
 
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
 
Improper 0.2 fp
3/5+27/5 > 1/4+1/4
 
Improper 1.3 fp
71115/751 > 344/5
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
 
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
4/5 > -1/3
 
Descent 1.2 fn
485/62 < 279/34
 
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
 
 
Lineal 0.1 in
-x×2-10=6
 
Lineal 0.2 in
19×(x+53)=-76
 
Lineal 1.2 in
-97+x=-37
 
Lineal 1.3 in
x-914=-255
 
 
Lineal 2.3 in
-980÷x=-28
 
Lineal 3.1 in
-x×4+6=2
 
Lineal 3.2 in
67-70÷x=62
 
Lineal 4.1 in
-(x+6)×2=-6
 
Lineal 4.2 in
45÷(-83-x)=-15
Rounding
 
 
Rounding 0.1 dp
50.5×1.4≈71
 
Rounding 0.2 dp
45.56-11.54≈34
 
Rounding 1.2 dp
0.66≈0.7
 
Rounding 1.3 dp
24.995≈25
 
Rounding 2.2 dp
34.25-23.94≈10.3
 
Rounding 2.3 dp
15.449+57.622≈73.07
 
Rounding 3.1 dp
96÷78.9≈1
 
Rounding 3.2 dp
40×1.5≈60
Language Exercises
 
 
Russian Vocabulary 2.4
просв щённый
 
 
Lexicon 2.3
p ckage [parcel]
 
Infinitive 1.2
unwind       unwound [unwind]
 
Infinitive 3.1
            busted [bust]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-(74+223)+(670+7)=380
 
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
 
Conversant 1.4 in
-278-118=-396
 
Conversant 2.4 in
-413+822-641=-232
 
Conversant 2.5 in
-25408-300629-472474=-798511
 
Conversant 3.4 in
806+(-803-181)=-178
 
Conversant 3.5 in
-82240+(96655-819676)=-805261
 
Conversant 4.4 in
-(707+363)+(546-286)=-810
 
Conversant 4.5 in
(211456-776738)+(400000-207960)=-373242
 
Divisor 1.5 ip
400000÷400=1000
 
Intellect 0.2 in
-593-384÷(2+2)=-689
 
Intellect 1.2 in
760÷40-470=-451
 
Intellect 2.2 in
-457+90÷30-347=-801
 
Intellect 3.2 in
-8+(196+98)÷2=139
 
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
 
Logics 1.2 in
22×22=484
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
-4×(5×5)=-100
 
Logics 4.2 in
315÷(9÷(-3))÷7=-15
 
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
 
 
Partitive 0.4 dp
575.157-111.661+378.05=841.546
 
 
Partitive 2.4 dp
487.916-95.12-202.796=190
 
Partitive 3.4 dp
348.323-(285-96.143)=159.466
 
Split 0.3 dn
3.98-(-13.02-57)=74
 
Split 0.4 dn
140+90=230
 
Split 1.3 dn
-70+33.94=-36.06
 
Split 1.4 dn
-391.575+236.8=-154.775
 
Split 2.3 dn
-35.09+20.59-79.31=-93.81
 
Split 2.4 dn
401.855+140.627-592.507=-50.025
 
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
 
Split 3.4 dn
46-(163.428+26.744)=-144.172
 
 
Divisional 1.3 dp
11.04÷29.44=0.375
 
Denary 0.2 dp
1.32÷44÷0.6=0.05
 
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
 
Denary 1.3 dp
2.5×5.904=14.76
 
Denary 2.3 dp
10.368÷0.648=16
 
Denary 3.3 dp
3.432÷1.716=2
 
Denary 4.2 dp
66×1.25×0.08=6.6
 
Denary 4.3 dp
66×0.176÷0.704=16.5
 
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
 
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
 
Definition 0.2 dp
20-8×0.8÷1.6=16
 
Definition 1.2 dp
0.5×5+45.5=48
 
Definition 1.3 dp
1.2×0.005+84.66=84.666
 
Definition 2.2 dp
4.5×1.36+19.44÷12.96=7.62
 
Definition 2.3 dp
38.8-1.3×32×0.5=18
 
Definition 3.2 dp
(0.5+0.7)×(4.3+39.7)=52.8
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
25.6÷64-69.71=-69.31
 
Negatory 1.2 dn
24+18.75×0.32=30
 
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
 
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
 
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
 
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
 
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
 
 
Divisional_ENG 1.3 dp
0.142÷2=0.071
Fraction Examples
 
 
Numerator 0.3 fp
18/11+37/11+8054/491=10509/491
 
Numerator 1.3 fp
851/13-214/13=49/1
 
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
 
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
 
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
 
Denominator 1.2 fn
-299/30+3/2=-127/15
 
Denominator 1.3 fn
-2551/498+134/3=19693/498
 
Denominator 2.2 fn
1/2-788/95+17/2=67/95
 
Denominator 3.2 fn
-9/4-(4/3+443/100)=-601/75
 
Fragment 0.1 fp
31/9÷2/3=31/6
 
Fragment 0.2 fp
37/7÷(1/3×333/17)=17/21
 
Fragment 1.3 fp
1/3×3/5=1/5
 
Fragment 2.2 fp
2/3×1/2×11/4=11/12
 
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
 
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
 
Fragment 3.2 fp
(35/2×2/15)×139/7=139/3
 
Reduction 1.3 fp
1050/30=35/1
 
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
 
Limited 1.2 fp
63/2-207/10×100/69=3/2
 
Limited 2.1 fp
10/9÷(2/5+1/10)=20/9
 
Complete 0.1 fn
-1/9+14/3×15/7=89/9
 
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
 
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
 
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
 
 
Ceil 0.4 in
501900 > -501900
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
-388433+544440 > -91637-66686
 
Ceil 3.4 in
-2×315172 < -793184÷2
 
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
 
Point 0.4 dp
114.255+111.831 > 12.48+37.52
 
Point 2.4 dp
221.193-208.918 < 650-169.011
 
Point 3.3 dp
41.94÷3.495 < 62.5×0.64
 
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
 
Doted 0.3 dn
-79.489 < -22.89
 
Doted 1.3 dn
-47.644 < -35.648
 
Doted 1.4 dn
-441.303 < 441.295
 
Doted 2.3 dn
-15.399-17.51 > 10-89.552
 
Doted 2.4 dn
215.382-649.762 < -9.281+951.105
 
Doted 3.3 dn
-52.38÷(-1.746) > 97.648÷5.744
 
Improper 0.3 fp
1394/635 < 2666/85
 
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
 
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
 
Descent 0.2 fn
67/72 > -3/5
 
Descent 1.3 fn
-648/751 < 168/5
 
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
 
Descent 3.1 fn
1/3×3/10 < 1/5÷1/4
 
Descent 3.2 fn
-26/5×11/13 < 13/3÷(-65/57)
Equations
 
 
Lineal 0.3 in
2×(-x+375)=750
 
Lineal 3.3 in
x÷2+425=0
 
Lineal 4.3 in
-756÷(-937+x)=36
 
Rounding
 
 
Rounding 0.3 dp
80÷19.708≈4.06
 
Rounding 3.3 dp
100÷1.25≈80
Language Exercises
 
 
Russian Vocabulary 1.5
б рельеф
 
 
 
 
Lexicon 1.4
poi onous [noxious]
 
Infinitive 2.2
sow             [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-312÷104+7700=7697
 
Intellect 1.3 in
7765+96×742=78997
 
Intellect 2.3 in
-4100+608÷38+93984=89900
 
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
 
Logics 0.3 in
4×5×5=100
 
Logics 1.3 in
79×20=1580
 
Logics 2.3 in
-2×250÷25=-20
 
Logics 3.3 in
2394÷(-3×(-2))=399
 
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
 
 
 
Denary 0.4 dp
3.456÷15.36=0.225
 
Denary 1.4 dp
0.85×20=17
 
Denary 2.4 dp
9.072÷0.648=14
 
Denary 3.4 dp
138.24÷34.56=4
 
Denary 4.4 dp
0.864÷2.4×890=320.4
 
Denary 5.4 dp
75.2×(125×0.05)=470
 
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
 
Definition 0.4 dp
5.28÷20.625+161.28÷184.32=1.131
 
Definition 1.4 dp
342.72÷21.76-3.758=11.992
 
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
 
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
 
Definition 3.4 dp
(2.157+2.843)×(39.029+39.004)=390.165
 
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
 
Negatory 0.4 dn
960.4+320÷200=962
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
Negatory 2.4 dn
-133.7+19.2×2-414.7=-510
 
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
 
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
 
Fraction Examples
 
 
Denominator 0.3 fn
-2323/312-3205/312=-691/39
 
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
 
Denominator 3.3 fn
34/5-(-572/35-3133/81)=35053/567
 
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
 
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
 
Limited 0.2 fp
218/9÷(1/2+1/6)=109/3
 
Limited 1.3 fp
1/2÷9/118+247/9=34/1
 
Limited 2.2 fp
(200/13-44/13)÷68/5=15/17
 
Complete 0.2 fn
-5/57+153/19÷459/44=13/19
 
Complete 1.3 fn
22/119×56/11+273/17=17/1
 
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
 
 
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
 
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
 
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
 
Descent 2.3 fn
-619/142-7601/284 < 848/13-108/13
 
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2+6x+16=0
 
System 0.1 ip
13x÷y=13
 
 
System 2.1 ip
10x×y=200
 
System 3.1 ip
9y+5x=140
 
Set 0.1 in
-y-x=-5
 
Set 1.1 in
-x+y=-6
 
Set 2.1 in
-2y×2x=-400
 
Set 3.1 in
-10y+10x=0
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
uns ccessful [failed]
 
Lexicon 2.4
expen ive [dear]
 
Infinitive 1.3
underspend       underspent [underspend]
 
Infinitive 3.2
rebind             [rebind]

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